Hydrologic Budgets and Water Availability of Six Bedrock Aquifers in the Black Hills Area, South Dakota and Wyoming, 1931–2022

Scientific Investigations Report 2025-5067
Prepared in cooperation with the Western Dakota Regional Water System
By: , and 

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Acknowledgments

The authors would like to acknowledge the Western Dakota Regional Water System for its contributions to this study by providing guidance and opportunities to present this work to the community. The authors also want to thank the many water system managers in the Black Hills region for access to well withdrawal records and their water system histories. The authors acknowledge the South Dakota Department of Agriculture and Natural Resources staff for providing well withdrawal datasets and information about well withdrawal permitting in South Dakota.

Daniel Driscoll and Janet Carter, both authors of the Black Hills hydrology study, were invaluable and provided insight to methodologies used in past studies that were the foundation of this work.

Abstract

Population growth and recurring droughts in the Black Hills region raised interest in water resources and future availability. The Black Hills hydrology study (BHHS) was initiated in the early 1990s to address questions regarding water resources. Since completion of the BHHS in the early 2000s, the population of the Black Hills region increased by about 39 percent, which has renewed interest in water demand and availability in the Black Hills. The U.S. Geological Survey, in cooperation with the Western Dakota Regional Water System, completed a study to update hydrologic budgets from the BHHS for six of the most used aquifers in the Black Hills. Water availability was determined by comparing results from hydrologic budgets to modern well withdrawals (2003–22) and water rights information. Key updates to the BHHS budgets included adding available data from 1999 to 2022 and determining hydrologic budgets for six aquifers in nine smaller areas (called “subareas”).

Inflows for the hydrologic budget included recharge from precipitation and streamflow losses to aquifers. Total mean annual recharge for the six aquifers in the study area was estimated at 278,900 acre-feet, with 205,100 acre-feet from precipitation recharge and 73,800 acre-feet from streamflow recharge. Mean annual precipitation recharge for the Madison and Minnelusa aquifers together accounted for 76 percent of the total mean annual precipitation recharge, with the Madison aquifer contributing 57,000 acre-feet and the Minnelusa aquifer contributing 98,100 acre-feet. Outflow components estimated for the hydrologic budget include artesian springflow and well withdrawals. Total mean annual artesian springflow in the study area was estimated as 166,100 acre-feet for the combined Madison and Minnelusa aquifers. Mean total annual well withdrawals for 2003–22 in the study area were about 50,000 acre-feet. No increased well withdrawal patterns corresponding to population increases were observed between 2003 and 2022.

Water availability was determined by comparing total annual appropriations and mean and maximum annual well withdrawals for 2003–22 to mean annual recharge for 1931–2022 for each aquifer in subareas 1–9. Modern well withdrawals (mean and maximum for 2003–22) exceeded mean annual recharge for only the Deadwood and Inyan Kara aquifers in subareas 9 and 4, respectively. Additionally, total annual appropriations did not exceed mean annual recharge in most subareas, except most notably in subarea 4 (Rapid City area) where appropriations exceeded recharge for the Madison, Minnelusa, and Inyan Kara aquifers. Total annual appropriations also exceeded mean annual recharge for the Inyan Kara aquifer in subareas 3 and 5. In addition to recharge, water availability includes the water stored in pore spaces of aquifer materials. Estimates of total volume of recoverable water in storage were updated as part of this study to include the portion of aquifers in Wyoming, which were omitted during the BHHS. In total, the estimated total amount of recoverable water in storage in the study area was 356.9 million acre-feet for six major aquifers in the Black Hills area of South Dakota and Wyoming.

Introduction

The Black Hills are a mountainous region in western South Dakota and eastern Wyoming (fig. 1) with important natural resources, such as timber and minerals, and popular tourist locations, such as Mount Rushmore National Memorial, that historically have served as the economic base for local communities (Driscoll and Carter, 2001). Water resources also are important to the region because the Black Hills are the origin of many streams and are a major recharge area for many local and regional aquifers (fig. 1) that supply water to residents, industry, irrigation, and tourism. Population growth and recurring droughts in the Black Hills region can affect water resources and future availability. Between 1980 and 2022, the region’s population grew by about 73 percent, from about 124,000 to 214,100 (U.S. Census Bureau, 1983, 2024). Drought conditions in the late 1980s and the early 2000s stressed local water systems that relied heavily on surface water as the population of the region was increasing. Consequently, water managers began exploring alternative water supplies, primarily utilizing underdeveloped groundwater resources. Municipalities, like Rapid City, South Dakota, also began securing future use permits (South Dakota Department of Agriculture and Natural Resources [SDDANR], 2024a) for additional groundwater withdrawals and surface water from the Missouri River to ensure a reliable future water supply amid growing demand.

The Black Hills hydrology study (BHHS) was initiated in the early 1990s to inventory and assess the region's water resources, focusing on the quantity, quality, and distribution of surface water and groundwater. The BHHS was a collection of work completed by the U.S. Geological Survey (USGS) and is described in greater detail in the “Previous Studies” section of this report. The population of the Black Hills region increased by about 39 percent since completion of the BHHS in 2000 compared to 2022 (U.S. Census Bureau, 2003, 2024), which has renewed interest in future water demand and availability in the Black Hills. Groundwater in the Black Hills region has been increasingly in demand since 2000 relative to surface water; water rights data from South Dakota (SDDANR, 2024a) showed nearly four times as many approved groundwater permits (302) than surface water permits (78). Historical well withdrawal patterns and availability estimates can inform effective resource management. The USGS has not comprehensively collected or analyzed detailed well withdrawal data and hydrologic budgets for aquifers in the Black Hills region since completion of the BHHS.

The USGS, in cooperation with the Western Dakota Regional Water System, completed a study to (1) update hydrologic budgets from the BHHS for six of the most used aquifers in the Black Hills and (2) to evaluate water availability by comparing results from hydrologic budgets to modern (2003–22) well withdrawals and water rights information from State agencies and (or) water systems. Hydrologic budgets provide a means for evaluating the availability and sustainability of a water supply by accounting for each component of the water cycle and how each components interacts and contributes to the cycle. A hydrologic budget quantifies the rate of change in water stored in an area and balances it with the rate at which water flows either into or out of the area. Inflows to aquifers in this study included recharge, inflows of regional groundwater, and leakage between adjacent aquifers. Outflow components to the hydrologic budget included springflow, well withdrawals, regional groundwater outflow, and leakage between adjacent aquifers. Water availability was estimated by comparing long-term recharge conditions from updated hydrologic budgets to modern well withdrawals and the total amount of withdrawable water from water rights information. Evaluating water availability also included estimating the volume of water stored in each aquifer.

Purposes and Scope

The purposes of this report are to (1) describe updates to hydrologic budgets from the BHHS for six regionally important aquifers in the Black Hills region for 1931–2022 and (2) estimate long-term water availability for each aquifer. Hydrologic budgets were developed by estimating the inflow and outflow components for each aquifer, following methods established by the BHHS (Carter and others, 2001a, 2001b8; Driscoll and Carter, 2001). This report summarizes the methods and results used to construct hydrologic budgets and estimate water availability for six bedrock aquifers. Surface water budgets and availability are outside the scope of this report and are not discussed.

Hydrologic budgets were constructed for six aquifers in the Black Hills region in South Dakota and Wyoming (hereafter referred to as the “study area”; fig. 1) for the period 1931–2022. Key updates to the BHHS budgets include (1) adding available data from 1999 to 2022 and (2) dividing hydrologic budgets for each aquifer into smaller areas. Previous studies collected data up to 1998, and newer data had since become available. The study area was divided into nine separate areas (hereafter referred to as “subareas”), consistent with the delineation by Carter and others (2001b; fig. 1). Dividing the study area into subareas allowed for the development of local hydrologic budgets for each aquifer, which had previously been analyzed for only two aquifers (the Madison and Minnelusa aquifers). Subarea hydrologic budgets were useful because budget components and water availability can vary considerably throughout the study area.

Hydrologic budgets developed in this study differed from previous studies in that budget components are presented by subarea for a different subset of aquifers for 1931–2022. Geologic units containing aquifers included in this study were the Deadwood Formation, Madison (Pahasapa) Limestone, Minnelusa Formation, Minnekahta Limestone, Sundance Formation, and Inyan Kara Group (fig. 1). Hydrologic budgets were not developed for aquifers within Tertiary and Precambrian igneous and metamorphic rocks, referred to as “crystalline core aquifers” by the BHHS, because these aquifers lack regional groundwater flow because of localized recharge (Driscoll and Carter, 2001). The Sundance aquifer, the saturated part of the Jurassic Sundance Formation, was the only Jurassic unit considered for recharge calculations by Driscoll and Carter (2001). The Sundance aquifer was termed the “Jurassic-sequence semiconfining unit” by Driscoll and Carter (2001) but was renamed to Sundance aquifer in this report for simplification. The Newcastle aquifer, the saturated part of the Cretaceous Newcastle Sandstone, was the only Cretaceous unit other than the Inyan Kara Group considered for recharge calculations by Driscoll and Carter (2001). The Newcastle aquifer was termed the “Cretaceous-sequence confining unit” but was renamed to Newcastle aquifer in this report for simplification. Additionally, after reviewing historical well withdrawals, the Newcastle aquifer was not included in this report because it was not considered a regionally important bedrock aquifer in the study area.

The subset of aquifers and the time period for budget components varied and were determined based on assumptions from previous studies and objectives of this report. Precipitation recharge, defined as the infiltration of precipitation on outcrops of geological units, was estimated for all six aquifers between 1931 and 2022. Streamflow recharge, which refers to water infiltrating geological units along streams, and springflow, characterized as water discharged from geological units to the land surface, were estimated exclusively for the Madison and Minnelusa aquifers (discussed in the “Hydrogeologic Setting” section of this report). Streamflow recharge was estimated between 1931 and 2022, whereas springflow estimates varied by site depending on the period of available data. Well withdrawals were estimated for all aquifers with available withdrawal data in the study area between 2003 and 2022. Although the authors acknowledge well withdrawals from aquifers other than the six analyzed in this report are an important source of water locally throughout the Black Hills, budgets were not estimated for these aquifers because they collectively represent a relatively small part of the groundwater resources used in the study area. Budgets were not created for aquifers other than the six regionally important aquifers because they were not considered regionally important based on available withdrawal data. Additionally, certain aquifers, including those within igneous, metamorphic, or alluvial materials, also were excluded from budget analyses because they received localized recharge and lacked regional groundwater flow.

Map of the study showing subareas 1–9, climate stations from the National Oceanic
                        and Atmospheric Administration, and outcrops of Deadwood Formation, Madison Limestone,
                        Minnelusa Formation, Minnekahta Limestone, Jurassic units (undifferentiated), Inyan
                        Kara Group, and Tertiary and Precambrian igneous and metamorphic rocks (undifferentiated)
                        in the Black Hills of South Dakota and Wyoming.
Figure 1.

Study area with subareas 1–9 and recharge areas of aquifers evaluated in this report. Madison Limestone and Minnelusa Formation and South Dakota geology modified from Strobel and others (1999) and DeWitt and others (1989); Wyoming geology of Minnekahta Limestone, Jurassic units (undivided), Inyan Kara Group modified from Wyoming Geologic Survey 1:100,000 quadrangle maps of the Devils Tower (Sutherland, 2008), Sundance (Sutherland, 2007), Newcastle (McLaughlin and Ver Ploeg, 2006), and Lance Creek (Johnson and Micale, 2008) quadrangles. Black Hills physiographic province (shown in inset map) from Fenneman and Johnson (1946).

Study Area Description

The study area consists of the Black Hills of western South Dakota and eastern Wyoming (fig. 1). The hydrogeologic setting and population of the study area are described in the following sections. The hydrogeologic setting discussion includes descriptions of relevant geologic units present in the study area, the climatic conditions during the period of investigation (1931–2022), and the general hydrology of the Black Hills area.

Hydrogeologic Setting

The hydrogeologic setting of the Black Hills includes the geology, climate, and hydrology of the region. In general, precipitation falls on the elevated terrain of the Black Hills where it infiltrates and recharges aquifers of permeable geologic materials or becomes streamflow in areas of low permeability. The geological conditions of the area create extensive surface-water and groundwater interactions including headwater springs that feed base streamflow, streamflow loss zones where water from streams recharges aquifers, and artesian springs that discharge groundwater from deep aquifers at the land surface (fig. 2).

Schematic diagram illustrating hydrologic processes occurring in the Black Hills.
                           Precipitation falls on elevated terrain, where it either infiltrates and becomes groundwater
                           that flows downgradient or flows over the land surface and contributes to streams
                           or lakes. Groundwater is naturally removed from aquifers through evapotranspiration
                           or by discharging at the land surface at springs. Groundwater also can contribute
                           to streamflow where the groundwater table is above the water level in the stream.
                           Conversely, streamflow can contribute to aquifers if the water level in the stream
                           is above the groundwater table.
Figure 2.

Schematic diagram illustrating hydrologic processes (modified from Driscoll and Carter, 2001; original from Anderson and others, 1999).

Geology

Uplift during the Late Cretaceous and early Tertiary, Tertiary intrusions, and subsequent erosion created the mountainous terrain of the Black Hills in western South Dakota and northeastern Wyoming (Carter and others, 2003). Darton and Paige (1925) described the general structure of the Black Hills as a north-northwest trending, irregularly shaped, doubly plunging anticline with a length of 125 miles and a width of 60 miles. The Black Hills are generally defined as the area contained within the extent of the erosion-resistant, dipping Cretaceous sandstone formations that form a hogback that surrounds the central part of the uplift. The uplift exposed the Precambrian geologic units consisting of igneous and metasedimentary rocks in the central core of the Black Hills, with younger Paleozoic and Mesozoic geologic units consisting of sedimentary rocks dipping radially away from the central crystalline core. Tertiary laccoliths, dikes, and sills intruded the sedimentary rocks in the northern Black Hills and formed geologic features such as Bear Butte, Crow Peak, and Devils Tower (not shown in fig. 1). Structural features in the Black Hills formed from deformation during the uplift and intrusions include fractures, folds, and faults that occur throughout the Black Hills on local and regional scales (DeWitt and others, 1986).

The Precambrian units of the crystalline core (fig. 3) are generally low permeability rocks and confining where overlain by Phanerozoic sedimentary rocks or sediment, but isolated local zones of highly fractured and weathered Precambrian rocks form important aquifers for communities in the central Black Hills, such as Custer, Keystone, and Hill City (fig. 1). Aquifers formed by the fractured zones of the Precambrian rocks are generally unconfined and are recharged where fractures are exposed at the land surface or are overlain by highly permeable unconsolidated material (Driscoll and others, 2002; Eldridge and others, 2021).

Stratigraphic column of the geologic units in the Black Hills of South Dakota and
                              Wyoming. The stratigraphic column orders units from oldest (bottom) to youngest (top)
                              by geologic age and provides the erathem, system, unit name, thickness (in feet),
                              and a description of geologic unit
Figure 3.

Generalized stratigraphic column for the Black Hills of western South Dakota and eastern Wyoming. Modified from Carter and others (2003) and originally from information furnished by the Department of Geology and Geological Engineering, South Dakota School of Mines and Technology (written commun., January 1994).

Paleozoic and Mesozoic sedimentary rocks surround the crystalline core and constitute aquifers that receive recharge where outcropping. The oldest sedimentary unit in the Black Hills is the Cambrian and Ordovician Deadwood Formation. The Deadwood Formation ranges from 0 to 500 feet (ft) in thickness and consists of sandstone, glauconitic shale, and conglomerate locally at the base (fig. 3). The sandstone layers within the Deadwood Formation form the Deadwood aquifer and are confined below by Precambrian igneous and metamorphic rocks and above by shales and siltstones of the Ordovician Winnipeg Formation and the dolomite layers of the Ordovician Whitewood Limestone, where present (fig. 3). Groundwater from the Deadwood aquifer is used mostly by domestic users within and near outcrops (Carter and others, 2001b). Where the Winnipeg Formation and Whitewood Limestone are not present, the Devonian and Mississippian Englewood Limestone overlies the Deadwood Formation. The Englewood Formation is a 30-to-60-ft pinkish limestone with shale at its base (fig. 3) and was included in the Madison hydrologic unit by Strobel and others (1999) and is considered part of the Madison aquifer in this study.

Overlying the Englewood Formation is the Mississippian Madison Limestone, also locally known as the Pahasapa Limestone, which consists of up to 1,000 ft of light-colored limestone and dolomite (fig. 3). The Madison Limestone has extensive secondary porosity in the upper 100 to 200 ft formed from fractures and solution features. The bottom part of the Madison Limestone generally lacks the solution features and fractures of the upper part and has a larger component of dolomite than the upper portion (Greene, 1993). The Madison aquifer receives water from precipitation on outcrops, streamflow loss where streams cross outcrops, and leakage from adjacent aquifers. Hydraulic connection between the Deadwood and Madison aquifers likely occurs in areas where the potentiometric head of the groundwater in the Deadwood aquifer is above the bottom potentiometric head of the Madison aquifer and the confining layers are thin or absent (Strobel and others, 1999). The Madison aquifer is artesian where confined and flowing wells are common where the potentiometric contour elevation exceeds the elevation of the land surface. Losses from the Madison aquifer include evapotranspiration, headwater and artesian spring flow, leakage to adjacent aquifers, and pumping from wells.

The Madison aquifer is confined from above by a red paleosol and shale from the basal unit of the Pennsylvanian and Permian Minnelusa Formation that is discontinuous in parts of the study area (Greene, 1993; Gries, 1996). The thickness of the Minnelusa Formation ranges from 375 to 1,175 ft, which generally increases to the south. Sequences of alternating deposits of sandstone, limestone, dolomite, and shale constitute the Minnelusa Formation (fig. 3), with the thick sandstone units in the upper 200 to 300 ft constituting most of the aquifer used for municipal and domestic use, although sandstone units in the middle and lower parts of the formation are used locally (Greene, 1993). Solution of anhydrite in the upper portions of the Minnelusa Formation caused collapse features such as breccia pipes, which are roughly funnel shaped cylindrical masses of angular blocks and fragments from overlying geologic materials that can be as much as 200 ft tall and 10 to several hundred feet in diameter (Bowles and Braddock, 1963). Leakage from the Madison aquifer into the overlying Minnelusa aquifer occurs in areas where the hydraulic gradient between the Madison and Minnelusa aquifers is large and the confining basal unit of the Minnelusa Formation does not exist or was deformed by tectonic stress (Rahn and Gries, 1973).

The Minnelusa aquifer is confined from above by the Permian Opeche Shale, a 25- to 150-ft thick, red shale with sandstone (fig. 3) that separates the Minnelusa aquifer from overlying aquifers. Leakage between the Minnelusa aquifer into the Opeche Shale can occur where the Opeche Shale is fractured and faulted. Areas where the Minnelusa Formation collapsed into solution cavities from the solution of anhydrite also are areas where the Minnelusa aquifer could potentially lose water to overlying geologic units.

The Permian Minnekahta Limestone overlies the confining Opeche Shale and is a 25- to 65-ft thick, thin to medium bedded, laminated limestone (fig. 3). Precipitation on the outcrops of the Minnekahta aquifer is the primary recharge mechanism, with only minor amounts of streamflow recharge occurring where streams flow over the outcrops. The Minnekahta Limestone is an aquifer with high permeability, but the thin nature of the aquifer limits well yields to volumes that can provide water for small, local users rather than large developments or municipalities. The Minnekahta aquifer is confined from above by the Permian and Triassic Spearfish Formation, a 375- to 800-ft thick, red shale and siltstone unit with white gypsum and thin limestone beds (fig. 3; DeWitt and others, 1989). The “red valley” or “red racetrack” of the Black Hills is an area where the shale of the Spearfish Formation was eroded into an area of low topographical relief between the cliff forming Minnekahta Limestone and the Jurassic and Cretaceous sandstone units of the hogback. A 0- to 45-ft thick white gypsum layer of the Jurassic Gypsum Spring Formation (fig. 3) overlies the Spearfish Formation and forms white cliffs that cap the Spearfish Formation in some locations along the hogback of the Black Hills. The Jurassic Sundance Formation overlies the Gypsum Spring Formation where present or the Spearfish Formation where the Gypsum Spring Formation is absent. The Sundance Formation ranges from 250 to 450 ft in thickness and consists of siltstone, sandstone, limestone, and shale (fig. 3; DeWitt and others, 1989). The sandstone units within the Sundance Formation form a minor aquifer where saturated.

Other Jurassic units overlying the Sundance Formation are the 0- to 225-ft thick Unkpapa Sandstone and the 0- to 220-ft thick silty shale and claystone units of the Morrison Formation (fig. 3). The Unkpapa Sandstone thins to the north and is not present on the western flank of the Black Hills, where it is replaced by the Morrison Formation completely (DeWitt and others, 1986). The Unkpapa Sandstone forms a minor aquifer where saturated (Driscoll and Carter, 2001). Jurassic geologic units (Sundance, Unkpapa, and Morrison Formations) were considered a semiconfining unit by Driscoll and Carter (2001) because of its interbedded shales, sandstones, and gypsum (Strobel and others, 1999). The sandstones within the Sundance Formation form an aquifer, the Sundance aquifer, where saturated. Aquifers in other Jurassic formations are used locally to lesser degrees than the Sundance aquifer and were not considered in recharge calculations in this report, which was consistent with Driscoll and Carter (2001).

Lower Cretaceous sandstone units of the Inyan Kara Group overly the Morrison Formation. The Inyan Kara Group ranges from 135 to 900 ft in thickness and is comprised of the Lakota Formation at its base and Fall River Formation at its top (fig. 3). The Inyan Kara aquifer consists of saturated sandstone layers and is used extensively in the study area (Driscoll and Carter, 2001). Inflows to the Inyan Kara aquifer are primarily from precipitation on the outcrop but leakage from the underlying Jurassic units is possible (Gott and others, 1974). The Inyan Kara aquifer is confined from above by Cretaceous shales and below by the shales of the Morrison Formation (fig. 3) and is the youngest aquifer considered for the budget analysis in the present study. Other minor aquifers in the Cretaceous units surrounding the Black Hills, such as the Newcastle Sandstone (fig. 3), exist but are not extensively used in the study area and were not considered for the budget analysis.

Climate

The abrupt rise in topography of the Black Hills from the surrounding plains creates an orographic effect that causes greater amounts of precipitation to fall in the higher elevations of the Black Hills than the lower elevations of the surrounding area (Driscoll and others, 2000). Precipitation is greatest in the northern Black Hills near Lead, S. Dak. (fig. 1), and lowest in the southern periphery of the Black Hills near Hot Springs, S. Dak. (fig. 1; Driscoll and others, 2000). Monthly precipitation varies across the different elevations and locations within the Black Hills. Precipitation in the Black Hills peaks in the late spring and early summer months of May and June, although a second peak in monthly precipitation occurs in the late fall as snow in the higher elevations (fig. 4). Precipitation records from the National Oceanic and Atmospheric Administration extending back to 1930 (Palecki and others, 2021) indicate precipitation fluctuates annually in the Black Hills region, with relatively long dry periods in the 1930s, the late 1940s through the mid-1960s, the late 1980s to the early 1990s, and the early to mid-2000s (fig. 5). Drought conditions during 1988–92 and 2002–07 in the Black Hills region caused reduced streamflow, declining reservoir and groundwater levels, increasing fire activity, and water supply shortages (South Dakota Drought Task Force, 2015; USGS, 2024a).

Bar charts of mean monthly precipitation, in inches, for eight climate stations throughout
                              the study area. Climate stations in the northern part of the study area, such as Spearfish
                              or Lead, South Dakota, generally have greater overall monthly precipitation than climate
                              stations in the southern part of the study area, such as Hot Springs, South Dakota.
                              Spring and summer months (April through July) generally have the greatest mean monthly
                              precipitation.
Figure 4.

30-year normal precipitation from 1991 to 2020 for different locations and elevations within the Black Hills region. Data from National Oceanic and Atmospheric Administration National Centers for Environmental Information (Palecki and others, 2021). A, Hot Springs, SD US (USC00394007). B, Belle Fourche, SD US (USC00390559). C, Spearfish, SD US (USC00397882). D, Sundance, WY US (USC00488705). E, Hill City, SD US (USC00393868). F, Lead, SD US (USC00394834). G, Rapid City 4 NW, SD US (USC00396947). H, Devil’s Tower Number 2, WY US (USC00482466).

Three graphs illustrating how annual precipitation has varied between 1931 and 2022.
                              The first graph (graph A) is a line graph of mean annual precipitation in the study
                              area for each year from 1931 to 2022 compared to the long-term mean annual of 19.4
                              inches per year. In general, mean annual precipitation in the study area has increased
                              since the 1930s. Long periods of dry conditions were experienced in the 1930s, the
                              late 1940s through the mid-1960s, the late 1980s to the early 1990s, and the early
                              to mid-2000s. The second graph (graph B) is the departure from long-term mean annual
                              precipitation, which was constructed by subtracting each year’s mean annual precipitation
                              by the long-term mean annual precipitation of 19.4 inches. This graph highlights the
                              wet and dry periods experienced in the study area. Extended periods of wet conditions
                              were experienced in the 1990s and in the 2010s. The third graph (graph C) is the cumulative
                              departure from long-term mean annual precipitation. This graph was constructed by
                              cumulatively summing the values from the second graph (graph B) starting in 1931.
                              The cumulative departure from long-term mean annual precipitation curve generally
                              mimics storage in aquifers or water levels in wells. The third graph shows an extended
                              period of decline from 1931 to about 1960 where the curve was relatively flat until
                              1994. From 1995 to 2022, the curve increases, except for a decline from 2000 to 2007,
                              until it is about equal with the value from 1931.
Figure 5.

Mean annual precipitation totals for the Black Hills area, South Dakota for 1931–2022 using records from the climate stations in figure 4 (shown in fig. 1). A, Annual precipitation for the study area. B, Departure of annual precipitation from the long-term mean annual precipitation for the study area for water years 1931–2022. C, Cumulative departure of annual precipitation from the long-term mean annual precipitation for the study area for water years 1931–2022. Data from National Oceanic and Atmospheric Administration National Centers for Environmental Information (Palecki and others, 2021).

Temperatures in the Black Hills peak in the summer months of July and August with mean monthly maximums of almost 90 degrees Fahrenheit (°F) and mean monthly minimums of approximately 55 °F (fig. 6; Palecki and others, 2021). Additionally, monthly normal temperatures are greater at lower elevations and generally increase to the south near Hot Springs, S. Dak. (fig. 6A). Greater monthly normal temperatures at lower elevations and in the southern part of the study area cause greater evaporation that leads to less precipitation recharge. The coldest months are December and January with mean monthly temperatures below freezing (32 °F) and mean minimum monthly temperatures near 10 °F (fig. 6). In general, colder temperatures during winter months occur at the higher elevations and in the northern part of the study area (fig. 6). Temperatures generally increase at lower elevations and in the southern part of the study area.

Eight graphs showing the minimum, mean, and maximum monthly temperature, in degrees
                              Fahrenheit, for climate stations throughout the study area. Climate stations in the
                              northern part of the study area and at higher elevations, such as Spearfish or Lead,
                              South Dakota, generally have lower minimum, mean, and maximum monthly temperatures
                              than climate stations in the southern part of the study area and at lower elevations,
                              such as Hot Springs, South Dakota. Temperatures are greatest during summer months
                              (June through September) and lowest during winter months (November through March).
Figure 6.

30-year normal temperature from 1991 to 2020 for different locations and elevations within the Black Hills. A, Hot Springs, SD US (USC00394007). B, Belle Fourche, SD US (USC00390559). C, Spearfish, SD US (USC00397882). D, Sundance, WY US (USC00488705). E, Hill City, SD US (USC00393868). F, Lead, SD US (USC00394834). G, Rapid City 4 NW, SD US (USC00396947). H, Devil’s Tower Number 2, WY US (USC00482466). Data from Palecki and others (2021).

Hydrology

The hydrology of the Black Hills region is characterized by interactions between climate, geology, and the landscape. Driscoll and others (2002) provide detailed descriptions of hydrologic processes occurring in the Black Hills region, which are discussed in general terms in this section. Precipitation falling on the landscape infiltrates into the soil horizon, becomes direct runoff if the soil is saturated or its infiltration capacity is exceeded, and (or) is returned to the land surface from the soil horizon through lateral movement within the soil layers (interflow). Where evaporation exceeds precipitation, most water is returned to the atmosphere through evapotranspiration. Water infiltrating past the soil horizon can recharge groundwater systems; however, a component of groundwater is discharged at the land surface and may contribute to streamflow (base flow). Soil horizon characteristics, such as soil type or thickness, are an important aspect of the hydrologic cycle where soils are present in the Black Hills region and can greatly affect groundwater recharge rates. In areas where soils are thin or absent, recharge rates are affected by the characteristics of geologic units.

Driscoll and Carter (2001) subdivided the hydrogeologic setting of the Black Hills in South Dakota into four areas: the crystalline core, the limestone headwater, the loss zone and artesian spring area, and the exterior. The crystalline core area is characterized by mostly impervious rocks of the Precambrian in the central part of the Black Hills. The limestone headwater area is the area of the western flank of the Black Hills where the Madison Limestone discharges groundwater as headwater springs that then flow away from the limestone as streamflow. The loss zone and artesian spring area encompasses the region where streamflow loss zones and artesian springs occur. Streams radiate outward from the elevated areas of the Black Hills and lose significant amounts of flow in regions where they intersect the fractured and permeable Madison Limestone and Minnelusa Formation. Water then reemerges as artesian springs that surround the Black Hills (Rahn and Gries, 1973). The loss zone and artesian spring area is bounded by the extent of the outcrops of the Inyan Kara Group (fig. 1), which is commonly considered the outer extent of the Black Hills. Areas outside of the extent of the Black Hills are in the exterior.

Springs are a common hydrologic feature in the Black Hills and are culturally important for local Tribes. Rahn and Gries (1973) classified springs in the Black Hills into different types based on the geologic controls and amount of flow of the springs. Headwater springs originate in the Limestone Plateau area (fig. 1) on the western flank of the Black Hills (Rahn and Gries, 1973). Headwater springs form where water percolates vertically through outcrops of the Madison Limestone and then discharges at the base of the limestone where it overlies less permeable surfaces. Base flow of several streams originates at the headwater springs area before flowing eastward across the Precambrian core to loss zones in the Madison and Minnelusa aquifers where surface water becomes groundwater again.

Artesian springs occur downstream from the loss zones where groundwater from aquifers in artesian conditions discharges at the land surface. Groundwater from aquifers in artesian conditions can be discharged through porous media or through structures, such as faults or breccia pipes, that extend to the land surface. Rahn and Gries (1973) classified artesian springs in the Black Hills as those that discharge groundwater from the Madison and Minnelusa aquifers at low elevations near the contact between the Minnekahta Limestone and Spearfish Formation or the contact between the Minnelusa Formation and Opeche Shale. Many of the artesian springs in the Black Hills discharge from the Madison and Minnelusa aquifers.

Surface water in the study area is present as streamflow and reservoirs. Streamflow follows precipitation patterns with high flows in the early spring months of June and July and lower flows in the fall (Driscoll and Carter, 2001). Streamflow is an important source of recharge to aquifers in the Black Hills area. During base flow conditions, most streams lose all or most of their flow as they cross loss zones of high permeability geologic materials. Each loss zone has a maximum streamflow (or threshold) that can recharge the aquifers. Hortness and Driscoll (1998) determined loss thresholds for 24 streams in the Black Hills area. The aquifers receiving relatively consistent recharge from streams flowing overtop outcrops are the Madison and Minnelusa aquifers. Other aquifers, such as the Deadwood and Minnekahta aquifers, also receive recharge from streams; however, streamflow losses to these aquifers are relatively small in comparison to the Madison and Minnelusa aquifers and often are difficult to quantify. Regulated releases from reservoirs can provide a constant source of water to loss zones, which are particularly important along Rapid and Spearfish Creeks (not shown).

Population

Population in the study area is an important factor for hydrologic budgets, because growth can increase the demand for water resources. Population estimates for the overall study area and each of the nine subareas (fig. 1) were derived from decadal census data between 1930 and 2022 provided by the U.S. Census Bureau (1952, 1973, 1983, 1992, 2003, 2012, 2024). Populations were assigned to each subarea based on their geographical location; however, some populated areas, such as townships or counties, overlapped multiple subareas, necessitating additional steps to distribute the population among the subareas. For these overlapping areas, portions of the population were allocated to each subarea in proportion to their respective areas. For example, the population of Custer County (fig. 1) was divided among subareas 5, 6, 7, 8, and 9, with 20 percent of the population value allocated to each subarea for every census decade. This allocation method introduced uncertainty into the population estimates for each subarea. Population estimates for each subarea are in table 1.

Table 1.    

Estimated population by subarea and year in the study area from 1930 through 2022. Population data were obtained from the U.S. Census Bureau (1952, 1973, 1983, 1992, 2003, 2012, 2024) and modified to estimate population in the study area (fig. 1).
Subarea 1930 1940 1950 1960 1970 1980 1990 2000 2010 2020 2021 2022
1 10,520 11,547 12,863 14,660 18,047 23,507 28,723 32,149 32,853 37,044 37,657 38,993
2 14,050 18,048 16,598 17,528 18,820 19,217 17,760 18,381 19,916 24,159 24,409 24,878
3 2,983 2,331 2,502 2,384 2,389 2,421 5,329 5,941 7,488 11,451 11,592 11,822
4 15,790 19,471 30,353 51,039 56,356 60,797 70,791 76,298 89,315 110,726 112,918 115,504
5 878 1,005 905 584 4,346 5,007 5,444 7,997 8,623 6,503 6,593 6,711
6 2,044 2,849 2,879 2,610 2,179 2,490 2,576 2,876 3,238 3,117 3,169 3,250
7 933 1,066 968 797 773 1,020 1,042 1,234 1,324 1,392 1,460 1,542
8 11,984 11,686 15,454 9,680 7,856 8,756 8,071 8,380 8,165 9,485 9,837 10,127
9 786 920 819 458 532 765 773 938 1,086 1,150 1,211 1,283
Total 59,967 68,921 83,341 99,739 111,299 123,981 140,507 154,195 172,007 205,024 208,845 214,111
Table 1.    Estimated population by subarea and year in the study area from 1930 through 2022. Population data were obtained from the U.S. Census Bureau (1952, 1973, 1983, 1992, 2003, 2012, 2024) and modified to estimate population in the study area (fig. 1).

The population of the study area from 1930 to 2022 varied across subareas 1–9. Overall, the population increased from about 60,000 in 1930 to approximately 214,100 in 2022 (table 1). Generally, subareas in the northern Black Hills (subareas 1–4) had larger populations and greater annual growth rates compared to those in the southern Black Hills (subareas 5–9; table 1). Throughout every decadal census from 1930 to 2020, subarea 4 consistently recorded the largest population, because it includes Rapid City, S. Dak. (fig. 1), which is the largest city in the region. Notably, subarea 4 surpassed 100,000 residents in 2020, making it the only subarea with over 100,000 residents. By 2022, subarea 1, which includes Spearfish and Belle Fourche, S. Dak. (fig. 1), had the second-largest population at about 39,000—about 76,500 less than subarea 4 (table 1). The populations of subareas 2, 3, and 5–9 either slightly increased or decreased from 1930 to 2022, with subarea 8 being the only region with a population decline.

Since completion of the BHHS, the population of the study area increased from 154,200 to 214,100, reflecting a 39-percent increase (table 1). The mean annual population growth rate for the study area from 2000 through 2022 was about 1.8 percent with the greatest mean annual growth rates for the same time observed for subareas 3 and 4 at 4.5 and 2.3 percent, respectively. In contrast, subareas 5 and 6 experienced the lowest growth rates during this time, with mean annual rates of −0.7 and 0.6 percent, respectively. The population of subareas 1–4 (northern Black Hills and Rapid City, S. Dak., area) grew by 58,428 between 2000 and 2022, with subarea 4 adding 39,206 residents. In comparison, the population in subareas 5–9 (southern Black Hills) increased by only 1,488 from 2000–22, with subarea 5 being the only subarea to report a population decline, losing an estimated 1,286 residents (table 1).

Previous Studies

Previous studies relevant to the scope of this research include numerous investigations from the BHHS—a long-term regional study initiated in 1990 focused on the quality, quantity, and distribution of surface water and groundwater resources in the Black Hills area. The BHHS consisted of two phases: data collection and interpretation. During the first phase, a network comprised of 71 observation wells, 94 precipitation gages, and 60 streamgages was established. Phase two produced various reports and products, including 21 reports and 11 maps. The objectives of the BHHS outlined in Driscoll (1992) were to (1) inventory and describe hydrologic data (precipitation, streamflow, groundwater levels, water-quality characteristics), (2) develop hydrologic budgets of selected watersheds, (3) describe the significance of bedrock aquifers in the Black Hills, and (4) develop conceptual models of the hydrogeologic system in the Black Hills area. Overviews of the BHHS are provided in Carter and others (2002) and Driscoll and others (2002).

Driscoll and others (2000) provided monthly and annual precipitation totals for water years—beginning October 1 of the year prior and ending September 30—from 1931 to 1998 for 94 precipitation gages in the Black Hills area of South Dakota, evaluating spatial and temporal precipitation patterns. Generally, precipitation totals increased from south to north and from lower to higher elevations within the region, with mean annual precipitation ranging from 16 to 17 inches per year in Fall River County, S. Dak., to more than 29 inches per year in parts of Lawrence County, S. Dak. (fig. 1). Temporal analysis indicated sustained periods of precipitation deficit during 1931–40 and 1948–61, whereas surplus precipitation was observed during 1941–47, 1962–68, and 1991–98.

Carter and others (2001a) estimated annual precipitation and streamflow recharge to the Madison and Minnelusa aquifers in the Black Hills area for water years 1931–98. Annual precipitation recharge was estimated by applying basin yield techniques to precipitation data from Driscoll and others (2000). Annual streamflow recharge for water years 1950–98 was computed using daily streamflow data and streamflow loss thresholds measured by Hortness and Driscoll (1998). Linear regression analyses were used to estimate streamflow recharge from 1931 to 1949 based on relations between precipitation and streamflow recharge from 1989 to 1998 when both datasets were most complete. Precipitation recharge averaged about 3.6 inches per year for the Madison aquifer and 2.6 inches per year for the Minnelusa aquifer during 1931–98. Streamflow recharge was not separated by aquifer; rather, the total combined annual streamflow recharge for the Madison and Minnelusa aquifers averaged about 93 cubic feet per second (ft3/s) for 1931–98. Mean annual combined precipitation and streamflow recharge to both aquifers for 1931–98 was 344 ft3/s.

Carter and others (2001b) developed hydrologic budgets for the Madison and Minnelusa aquifers in the Black Hills area for water years 1987–96. Hydrologic budgets were determined for two scenarios: the first scenario consisted of a general budget for the entire Black Hills area and the second scenario involved detailed budgets for nine subareas. Subarea boundaries were based on groundwater flow direction of the Madison and Minnelusa aquifers and were drawn to minimize groundwater flow across subarea boundaries. The period from 1987–96 was chosen because it represented a period of zero storage change because of offsetting wet and dry cycles. Inflow components included recharge (precipitation and streamflow), leakage from adjacent aquifers, and groundwater inflows across the study area boundaries. Outflow components were springflow (headwater and artesian), well withdrawals, leakage to adjacent aquifers, and groundwater outflows across study area boundaries. Leakage, groundwater inflows, and groundwater outflows were combined into net groundwater flow because all three components were difficult to quantify and could not be distinguished. Estimates of combined budget components from Carter and others (2001b) for the Madison and Minnelusa aquifers for 1987–96 include 395 ft3/s for recharge (precipitation and streamflow), 78 ft3/s for headwater springflow, 189 ft3/s for artesian springflow, and 28 ft3/s for well withdrawals. Net groundwater flow was calculated as difference between inflows and outflows, which was 100 ft3/s.

Hydrologic budgets determined by Carter and others (2001b) for nine subareas consisted of the same inflow and outflow components as the overall budget but also considered net groundwater inflows or outflows between subareas to account for budget surpluses or deficits. The intent of selected subareas was to minimize flow across the boundaries; however, zero-flow boundaries could not be established for both aquifers along all subarea boundaries. Therefore, inflows and outflows to each subarea for both aquifers were estimated using budget surpluses or deficits. Because the storage change from 1987 to 1996 was near zero, the net inflow (negative net groundwater flow) or outflow (positive net groundwater flow) could be calculated by summing the inflows and outflows from 1987 to 1996 for each subarea and dividing the sum by the number of years (10) to calculate mean annual groundwater inflow or outflow. Net groundwater outflows exceeded inflows for seven subareas and values ranged from 5.9 to 48.6 ft3/s. Net groundwater inflows exceeded outflows for two subareas where artesian springflow was greater than recharge. Net groundwater flows also were used to determine hydrologic properties, such as transmissivity, for each subarea. Transmissivity values estimated for subareas ranged from 90 to 7,400 feet squared per day (Carter and others, 2001b).

Driscoll and Carter (2001) developed mean hydrologic budgets for various bedrock aquifers and surface waters in the Black Hills area for water years 1950–98. The same methods used for calculating groundwater inflows (recharge) and outflows (springflow and well withdrawals) to the Madison and Minnelusa aquifers in Carter and others (2001a) and Carter and others (2001b) were used to develop budgets for other bedrock aquifers. Eight bedrock aquifers, some consisting of combinations of several geologic units, were investigated by Driscoll and Carter (2001), including the crystalline core, Deadwood, Madison, Minnelusa, Minnekahta, Jurassic-sequence semiconfining unit (Sundance aquifer), Inyan Kara, and Cretaceous-sequence confining unit (Newcastle aquifer) aquifers. Outcrop areas for geologic units containing the bedrock aquifers evaluated are shown in figure 1 except for the Cretaceous-sequence confining unit (Newcastle aquifer) because it was not included in recharge calculations in this report. Surface water budgets were estimated by Driscoll and Carter (2001) but were not included in this study.

The mean hydrologic budget for 1950–98 for all aquifers was summarized in Driscoll and Carter (2001). Annual total recharge for all eight aquifers was estimated as 348 ft3/s, of which 292 ft3/s was recharged to the Madison and Minnelusa aquifers. Precipitation and streamflow recharge accounted for 200 and 92 ft3/s, respectively. Outflows for all wells and springs were estimated as 259 ft3/s, of which the Madison and Minnelusa aquifers accounted for 206 ft3/s of total springflow and 28 ft3/s of well withdrawals. The Deadwood aquifer accounted for a total of 14 ft3/s, with springflow and well withdrawals of 12.6 and 1.4 ft3/s, respectively. Well withdrawals from other aquifers accounted for the remaining 11 ft3/s. Net groundwater outflow was calculated as 89 ft3/s by subtracting outflows from inflows in the study area.

Hydrologic Budgets

Hydrologic budgets were updated for the Deadwood, Madison, Minnelusa, Minnekahta, Sundance, and Inyan Kara aquifers between 1931 and 2022 using methods from Carter and others (2001a), Carter and others (2001b), and Driscoll and Carter (2001). Hydrologic budgets for each aquifer were separated into subareas 1–9 from Carter and others (2001b) and consisted of various budget components including inflows and outflows. For some components, data were not available for the entire period of investigation and (or) methods from previous studies were modified so that budgets could be prepared. This section presents the methods and results for each budget component.

All hydrologic budgets presented in this study were developed using the same basic continuity equation as Carter and others (2001b):

Inflows
−∑
Outflows
Storage
(1)
where

Inflows

is the sum of inflows,

Outflows

is the sum of outflows, and

ΔStorage

is the change in storage (positive ΔStorage is when inflows exceed outflows).

Inflows included recharge, leakage from adjacent (underlying or overlying) aquifers, and groundwater inflows across the study area boundary (regional groundwater flow). Recharge included infiltration of precipitation on outcrops of geologic units and streamflow recharge where streams cross outcrops and lose all or part of their flow. The various methods used to estimate recharge from precipitation and streamflow losses are described in the following sections.

Outflows included springflow, well withdrawals, leakage to adjacent aquifers, and regional groundwater flow out of the study area. Springflow consisted of two types: headwater and artesian. Headwater springs generally are at the base of the Madison Limestone near the headwaters of many streams in the Black Hills (fig. 2). Artesian springs are formed where water in aquifers under artesian pressure leaks upward through structures or porous material and discharge at the land surface typically downgradient of outcrops. Headwater springflow was not a component of the hydrologic budget because the outcrop areas for the Madison aquifer contributing to discharge at springs were removed from precipitation recharge calculations because the streamflow contributions from headwater springflow were already considered in gaged streamflow downstream. Outcrops contributing to headwater springflow (fig. 7) were mapped by Jarrell (2000) and modified by Carter and others (2001b). Headwater springflow estimates from Carter and others (2001b) for 1931–98 were updated as part of this study and are in appendix 2.

Outcrops of the Deadwood Formation, Madison Limestone, Minnelusa Formation, Minnekahta
                     Limestone, Sundance Formation, and Inyan Kara Group in subareas 1 through 9 used to
                     calculate precipitation recharge. Outcrop maps show where connected outcrops, those
                     assumed to contribute to regional groundwater flow, and isolated outcrops, those not
                     contributing to regional groundwater flow, of each aquifer are present. Isolated outcrops
                     were designated as those surrounded by either geologic units older than the unit being
                     examined or surrounded by Tertiary and Precambrian igneous and metamorphic rocks.
Figure 7.

Outcrop areas of geologic units containing aquifers in the study area used for estimating precipitation recharge in subareas 1–9. Outcrops east of the groundwater divide from Jarrell (2000) and modified by Carter and others (2001b) were excluded from calculations of precipitation recharge.

Leakage to and from adjacent aquifers was difficult to quantify, so Carter and others (2001b) included leakage with groundwater flows for budgeting purposes. Net groundwater flow (groundwater outflow minus groundwater inflow) was determined using an assumption of zero storage change (discussed later in this section). When storage change is assumed equal to zero, the sum of inflows equals the sum of outflows, and the hydrologic budget equation can be rewritten as

GWinflows
GWoutflows
=
Recharge
Springflow
Well Withdrawals
(2)
where

GWinflows

is groundwater inflows, and

GWoutflows

is groundwater outflows.

Net groundwater flow (left side of eq. 2) is more difficult to quantify than the budget items on the right side of equation 2. Therefore, net groundwater flow can be calculated as the residual of budget items on the right side of equation 2. Net groundwater flow for aquifers in the study area is discussed in the “Groundwater Budgets” section later in this report.

Groundwater budgets estimated in this study could not be directly compared to budgets from previous studies (Carter and others, 2001b; Driscoll and Carter, 2001) because of differences in study area boundaries and how budgets were prepared. Budgets were not comparable for the Deadwood, Minnekahta, Sundance, and Inyan Kara aquifers because the study area of Driscoll and Carter (2001) did not include Wyoming, and budgets were not previously divided among the nine subareas. Instead, differences between budget components from previous studies and this study are discussed for the entire study area to provide readers with context of how the budget changed by including additional area in Wyoming. Budget estimates from Carter and others (2001b) could be compared directly for the Madison and Minnelusa aquifers because their study area was used in this study; however, these budgets were developed only for 1987–96 and are not representative of long-term conditions.

Inflows—Precipitation and Streamflow Recharge, 1931–2022

Inflows of the hydrologic budget consisted of recharge from precipitation and streamflow losses to aquifers. Recharge estimates were calculated by water year for 1931 to 2022. Recharge estimates for 1931–98 for the Madison and Minnelusa aquifers from Carter and others (2001a) were updated to include water years 1999 through 2022. Recharge estimates for 1999–2022 were calculated as part of this study using methods from Carter and others (2001a), Carter and others (2001b), and Driscoll and Carter (2001); however, some methods were modified and are discussed in “Precipitation Recharge” and “Streamflow Recharge” sections of this report and in appendix 1. The recharge results presented in this study were separated into the nine subareas delineated by Carter and others (2001b) for each aquifer. Additional information regarding recharge estimates is available in Carter and others (2001a), Carter and others (2001b), and Driscoll and others (2000). Complete data for precipitation and streamflow recharge are provided in the accompanying data release (Medler and others, 2025).

Precipitation Recharge

Annual precipitation recharge was estimated for 1931–2022 by subarea for the aquifers in the Deadwood Formation, Madison Limestone, Minnelusa Formation, Minnekahta Limestone, Sundance Formation, and Inyan Kara Group in the study area (fig. 7). Precipitation recharge was calculated only for connected outcrops contributing to the regional groundwater flow system of each aquifer (fig. 7). Carter and others (2001a) noted recharge to disconnected (or isolated) outcrops surrounded by igneous and metamorphic rocks likely does not directly join the regional groundwater flow system and, therefore, should be excluded from calculations of precipitation recharge. Outcrop areas of the Madison aquifer on the Limestone Plateau east of the groundwater divide (Jarrell, 2000; fig. 7) contributing to headwater springflow also were excluded because recharge in this area was believed to contribute to springflow rather than the regional aquifer (Driscoll and Carter, 2001).

Precipitation recharge was estimated using the total yield equation developed by Carter and others (2001a) for outcrops contributing to the regional groundwater flow. The total yield equation (eq. 3) consists of variables for annual precipitation, average annual precipitation, and average yield efficiency.

Q a n n u a l = P a n n u a l P m e a n 1.6 ×   Y E m e a n 100   ×   P a n n u a l
(3)
where

Qannual

is the annual yield,

Pannual

is the annual precipitation,

Pmean

is the mean annual precipitation, and

YEmean

is the mean annual yield efficiency.

Inverse distance weighting (IDW) interpolation was used to interpolate annual precipitation (Pannual) from 94 stations given in Driscoll and others (2000) to create annual precipitation 1-kilometer (km) grids for water years 1931–80. Settings used for the IDW interpolation tool in geographic information system software (ArcGIS Pro, Esri, 2024a) were the same as those used in the Driscoll and others (2000) report and were as follows: a power of 2, a maximum search area of 50 km, and a maximum number of points of 15. Gridded annual precipitation data for 1981–2022 were aggregated from Daymet daily climate data on a 1-km grid (Thornton and others, 2022). Daymet data are available for 1981 through present and use a workflow that processes weather station observations and gridded terrain data along with cross-validation statistics to produce a standardized gridded dataset of daily climate data on a 1-km grid on a national scale (Thornton and others, 2021). When possible, Daymet data were utilized for the standardized quality, ease-of-use, and public accessibility. The mean of the annual precipitation grids from 1931 to 2022 was calculated on a cell-by-cell basis (fig. 8) to create the mean annual precipitation (Pmean) grid used in the yield equation (eq. 3).

Mean annual precipitation from 1931 to 2022 for subareas 1 through 9 in the Black
                           Hills region of South Dakota and Wyoming. Mean annual precipitation is greatest in
                           the northern Black Hills and at higher elevations near Spearfish and Lead, South Dakota
                           (approximately 30 inches). Mean annual precipitation decreases to the south and toward
                           lower elevations, with the cities of Hot Springs and Edgemont, South Dakota, receiving
                           about 16 to 18 inches annually.
Figure 8.

Mean annual precipitation for the study area showing weather stations used for the inverse distance weighting interpolation for water years 1931–80 and weather stations used in the Daymet algorithm (Thornton and others, 2021) for water years 1981–2022.

Mean yield efficiency contours for the study area published by Carter and others (2001a) were gridded into a 1-km grid and used for the total yield calculation. Gridded annual recharge was calculated by multiplying the results from equation 3 by the recharge factor (table 2) of a given aquifer using the following equation:

Rannual
=
Qannual
×
r
(4)
where

Rannual

is the annual recharge,

Qannual

is the annual yield, and

r

is the recharge factor.

The recharge factor was developed by Driscoll and Carter (2001) to simulate the recharge fraction of total yield (sum of runoff plus recharge). The value of recharge factors was based on hydrologic properties of each aquifer and the extent of outcrop areas.

Table 2.    

Recharge factors and outcrop areas used in calculating precipitation recharge for the Deadwood, Madison, Minnelusa, Minnekahta, Sundance, and Inyan Kara aquifers. Recharge factors were developed by Driscoll and Carter (2001).

[NA, not applicable]

Subarea Area (acres) Combined area
(acres)1
Deadwood Madison Minnelusa Minnekahta Sundance Inyan Kara
1 8,450 48,556 150,465 61,089 107,768 59,597 432,557
2 4,246 13,719 18,912 6,596 9,845 20,773 74,091
3 10,128 11,700 4,134 2,847 2,795 12,988 34,938
4 8,146 21,141 19,925 5,204 4,979 7,031 66,425
5 3,421 7,013 11,183 2,556 5,014 11,674 40,860
6 1,012 2,848 3,849 921 3,241 7,499 19,369
7 1,545 5,378 8,751 4,627 4,244 13,419 37,964
8 3,414 25,211 67,074 23,934 27,629 109,131 256,394
9 113 86,169 142,652 32,989 10,978 25,694 298,595
Recharge factor 0.8 1 1 1 0.4 0.8 NA
Total 40,475 221,735 426,945 140,764 176,493 267,806 1,261,193
Table 2.    Recharge factors and outcrop areas used in calculating precipitation recharge for the Deadwood, Madison, Minnelusa, Minnekahta, Sundance, and Inyan Kara aquifers. Recharge factors were developed by Driscoll and Carter (2001).
1

Headwater spring areas not included in outcrop areas was 81,796 acres.

Gridded recharge was clipped to the aquifer boundary and zonal statistics (ArcGIS Pro, Esri, 2024b) were calculated for each of the nine subareas (fig. 7). The annual precipitation recharge for each subarea, in inches, was converted to feet and then multiplied by the area, in acres, of the non-isolated outcrops of each aquifer in the subarea to calculate an annual volume of precipitation recharge in acre-feet. Outcrop areas for all Paleozoic geologic units identified by Carter and others (2001b) as contributing to headwater springs on the Limestone Plateau were excluded from subareas before calculating zonal statistics so that precipitation recharge estimates would not include outcrops recharging headwater springs. Additionally, 50 percent of the precipitation recharge calculated for the Deadwood aquifer in the Spearfish Creek, Little Elk Creek, and Meadow Creek drainages was excluded to be consistent with Driscoll and Carter (2001) in assuming that some fraction of precipitation recharge in those drainages contributes to headwater springflow.

Streamflow Recharge

Streamflow recharge was estimated annually for 1931–2022 for the regional Madison and Minnelusa aquifers for the nine subareas delineated by Carter and others (2001b). The Madison and Minnelusa aquifers receive recharge from streams flowing overtop outcrop areas of both formations up to a certain threshold that is unique to each loss zone. Loss thresholds for 24 streams in the Black Hills were determined by Hortness and Driscoll (1998). Streamflow losses to aquifers other than the Madison and Minnelusa were not calculated because recharge to other aquifers, such as the Deadwood and Minnekahta aquifers, was relatively small in comparison and often was difficult to distinguish from other aquifers. Streamflow recharge values for 1931–98 were originally estimated by Carter and others (2001b) but were recalculated using new information and were separated into nine subareas. Streamflow recharge was calculated for 1999–2022 using the methods outlined in Carter and others (2001b) and is discussed in the following sections. Extrapolation techniques used to extend streamflow recharge records differed from those in previous studies and are discussed in appendix 1.

Methods for Quantifying Streamflow Recharge

Methods and assumptions outlined in Carter and others (2001a) were used to quantify recharge from streamflow losses to the Madison and Minnelusa aquifers for 55 basins in the study area (fig. 9). In general, streamflow data from USGS streamgages (table 3) and loss threshold rates determined by Hortness and Driscoll (1998; table 4) were used to calculate streamflow recharge, when possible, from drainage basins upstream from loss zones delineated by Carter and others (2001a). Streamflow data were downloaded from the USGS National Water Information System (NWIS; USGS, 2024a). For basins without daily streamflow records, daily streamflow was synthesized using statistical relations between drainage areas of nearby basins. Loss threshold rates for streams were available either from Hortness and Driscoll (1998) for 24 streams in the study area or were selected from a representative nearby site. Loss threshold rates were quantified individually for the Madison and Minnelusa aquifers for some streams, which allowed for determination of individual and combined streamflow recharge. Combined recharge to the Madison and Minnelusa aquifers was calculated for streams where loss thresholds could not be differentiated between the aquifers. Additionally, loss threshold rates were adjusted by Carter and others (2001a) for some streams to account for unmeasured flow from additional minor drainage areas (table 4).

Table 3.    

Selected site information for streamgages (shown in fig. 9) used in determining streamflow recharge from Carter and others (2001a).

[C, continuous-record; M, miscellaneous-record]

Site number Station identification number Station name Latitude
(decimal degrees)
Longitude
(decimal degrees)
Type of station Drainage area (square miles)
1 06402430 Beaver Creek near Pringle, South Dakota 43.58137177 −103.4765835 C 45.8
2 433532103284800 Reaves Gulch above Madison outcrop near Pringle, South Dakota 43.5922053 −103.4804723 M 6.86
3 433745103261900 Highland Creek above Madison outcrop near Pringle, South Dakota 43.6291514 −103.4390833 M 8.69
4 433930103250000 South Fork Lame Johnny Creek above Madison outcrop near Fairburn, South Dakota 43.6583192 −103.4171386 M 4.34
5 433910103251000 Flynn Creek above Madison outcrop near Fairburn, South Dakota 43.65276346 −103.4199164 M 10.3
6 434105103240200 North Fork Lame Johnny Creek above Madison outcrop near Fairburn, South Dakota 43.68470906 −103.4010272 M 2.8
7 06403300 French Creek above Fairburn, South Dakota 43.7172105 −103.3679713 C 105
8 06404000 Battle Creek near Keystone, South Dakota 43.87164727 −103.3363029 C 58
9 06406000 Battle Creek at Hermosa, South Dakota 43.82804586 −103.1960211 C1 178
10 06404998 Grace Coolidge Creek near Game Lodge near Custer, South Dakota 43.76110028 −103.3640816 C 25.2
11 06405800 Bear Gulch near Hayward, South Dakota 43.79193375 −103.3474139 C 4.23
12 434929103215700 Spokane Creek above Madison outcrop near Hayward, South Dakota 43.824711 −103.366302 M 4.92
13 434800103174400 Spokane Creek below Madison outcrop near Hayward, South Dakota 43.7999901 −103.2960243 M 3.76
14 06407500 Spring Creek near Keystone, South Dakota 43.97871038 −103.3460469 C 163
15 06408500 Spring Creek near Hermosa, South Dakota 43.9416695 −103.1591456 C1 199
16 06411500 Rapid Creek below Pactola Dam, South Dakota 44.07665378 −103.482134 C 320
17 440105103230700 Victoria Creek below Victoria Dam near Rapid City, South Dakota 44.01804337 −103.385742 M 6.82
18 06422500 Boxelder Creek near Nemo, South Dakota 44.1443339 −103.4545385 C 96
19 06423010 Boxelder Creek near Rapid City, South Dakota 44.131654 −103.2987949 C 128
20 06424000 Elk Creek near Roubaix, South Dakota 44.2947073 −103.5968592 C 21.5
21 441614103253300 Elk Creek at Minnekahta outcrop, near Tilford, South Dakota 44.27054144 −103.4262985 M 23.8
22 06425500 Elk Creek near Elm Springs, South Dakota 44.24831768 −102.5032217 C1 540
23 441412103275600 Little Elk Creek below Dalton Lake, near Piedmont, South Dakota 44.23665257 −103.4660218 M 11.39
24 06429920 Bear Gulch near Maurice, South Dakota 44.4205398 −104.0410442 M 6.17
25 06430520 Beaver Creek near Maurice, South Dakota 44.38248366 −104.0040983 M 6.86
26 442242103565400 Iron Creek below Sawmill Gulch, near Savoy, South Dakota 44.37831708 −103.948818 M 8.16
27 06430800 Annie Creek near Lead, South Dakota 44.32749778 −103.894532 C1 3.55
28 06430898 Cleopatra Creek near Spearfish, South Dakota 44.40077556 −103.8939183 C1 6.95
29 06430900 Spearfish Creek above Spearfish, South Dakota 44.40165056 −103.8949267 C 139
30 06430950 Spearfish Creek below Robison Gulch near Spearfish, South Dakota 44.4372061 −103.876037 M 8.44
31 06431500 Spearfish Creek at Spearfish, South Dakota 44.48248388 −103.861592 C 168
32 442754103565000 Higgins Gulch below East Fork, near Spearfish, South Dakota 44.46498387 −103.947707 M 12.55
33 442405103485100 False Bottom Creek above Madison outcrop, near Central City, South Dakota 44.4013729 −103.8146453 M 5.55
34 06432180 False Bottom Creek near Spearfish, South Dakota 44.4524839 −103.8065895 M 8.91
35 06433000 Redwater River above Belle Fourche, South Dakota 44.66720665 −103.8393696 C1 920
36 06436170 Whitewood Creek at Deadwood, South Dakota 44.37994546 −103.724182 C 40.6
37 06437020 Bear Butte Creek near Deadwood, South Dakota 44.3355403 −103.6354716 C 16.6
38 442337103350600 Bear Butte Creek at Boulder Park, near Sturgis, South Dakota 44.3935957 −103.58547 M 32.23
39 442447103332800 Bear Butte Creek above Sturgis, South Dakota 44.41304015 −103.558247 M 5.59
Table 3.    Selected site information for streamgages (shown in fig. 9) used in determining streamflow recharge from Carter and others (2001a).
1

Continuous-record station used only for extension of streamflow records.

Table 4.    

Loss thresholds and associated drainage areas of selected streams (shown in fig. 9) used to calculate streamflow recharge by Carter and others (2001a).

[ft3/s, cubic feet per second; C, continuous-record; --, none used; M, miscellaneous-record; >, greater than; e, estimated; UG, ungaged; <, less than; ND, not determined; NA, not applicable]

Basin number Stream name Associated station type Drainage area (square miles) Adjusted drainage area (square miles) Loss threshold (ft3/s) Adjusted loss threshold (ft3/s) Aquifers potentially receiving recharge
1 Beaver Creek C 45.8 -- 5 -- Madison, Minnelusa, Minnekahta
2 Reaves Gulch M 6.86 -- >0.2 -- Madison
3 Highland Creek M 8.69 -- e10 -- Madison, Minnelusa, Minnekahta
4 South Fork Lame Johnny Creek M 4.34 -- 1.4 -- Madison, Minnelusa
5 Flynn Creek M 10.3 -- (3) -- Madison, Minnelusa
6 North Fork Lame Johnny Creek M 2.8 -- 2.3 -- Deadwood, Madison
7 French Creek C 105 -- 11 -- Madison
-- 4 -- Minnelusa
8 Battle Creek C 58 -- 12 14 Madison
8A Battle Creek tributary UG 6.59 5.33 (3) -- Madison
10 Grace Coolidge Creek C 25.2 -- 18 -- Madison
3 -- Minnelusa
11 Bear Gulch C 4.23 -- 0.4 -- Deadwood, Madison, White River
12 Spokane Creek M 4.92 -- 2.2 3.7 Deadwood, Madison, Minnelusa, Minnekahta
13 Spokane Creek M 3.76 2.52 (3) -- Deadwood, Madison, Minnelusa, Minnekahta
14 Spring Creek C 163 -- 21 -- Madison
3.5 Minnelusa
16 Rapid Creek C 320 -- 10 -- Deadwood, Madison, Minnelusa
16A Rapid Creek C 33.33 -- (3) -- Deadwood, Madison, Minnelusa
17 Victoria Creek M 6.82 -- 1 2.1 Deadwood, Madison
17A Victoria Creek UG 5.33 4.27 (3) -- Deadwood, Madison
18 Boxelder Creek C 96 90 >25 --
--
Madison
<20 Minnelusa
18A Boxelder Creek tributary UG 13.3 -- (3) -- Madison, Minnelusa
20 Elk Creek C 21.5 -- 11 -- Madison
8 -- Minnelusa
21 Elk Creek M 23.8 12.1 (3) -- Madison, Minnelusa
23 Little Elk Creek M 12.56 -- 0.7 -- Madison
2.6 -- Minnelusa
24 Bear Gulch M 6.17 -- 4 -- Deadwood, Madison, Minnelusa
25 Beaver Creek M 6.86 9 9 13 Deadwood, Madison, Minnelusa, Minnekahta
25A Beaver Creek UG 2.9 2.15 ND -- Deadwood, Madison, Minnelusa, Minnekahta
26 Iron Creek M 8.16 -- 0 -- NA
29 Spearfish Creek C 139 -- 42 -- Madison, Minnelusa
30 Spearfish Creek M 8.44 -- 521 -- Madison, Minnelusa
32 Higgins Gulch M 12.55 -- 0 -- NA
33 False Bottom Creek M 5.55 -- 1.4 2.9 Madison
7.3 15.1 Minnelusa
34 False Bottom Creek M 8.91 4.92 ND -- Madison, Minnelusa
36 Whitewood Creek C 40.6 -- 0 -- NA
36A Whitewood Creek UG 5.15 -- -- -- NA
37 Bear Butte Creek C 16.6 -- 3.8 -- Madison
4.1 -- Minnelusa
38 Bear Butte Creek M 32.23 19.2 -- -- Madison, Minnelusa
39 Bear Butte Creek M 5.59 3.33 4.2 -- Minnelusa
Table 4.    Loss thresholds and associated drainage areas of selected streams (shown in fig. 9) used to calculate streamflow recharge by Carter and others (2001a).
1

Outcrop areas of the Madison Limestone and Minnelusa Formation that are considered to contribute to the regional basin were subtracted.

2

From Hortness and Driscoll, 1998.

3

Basin has common loss zone with preceding basin; same loss thresholds and aquifers apply.

4

Loss within diversion aqueduct.

5

Threshold loss when flow in Spearfish Creek exceeds the estimated capacity of the diversion aqueduct (115 to 135 ft3/s).

Drainage basins were delineated based on the availability and distribution of USGS streamgages in the study area and adjusted using outcrop areas of the Madison Limestone and Minnelusa Formation. Streamgages (table 3) were used to delineate drainage basins using watershed boundaries downloaded from USGS StreamStats (USGS, 2024b). Adjustments to drainage basins involved removing areas of outcrop of the Madison and Minnelusa connected to the regional groundwater flow system of both aquifers. It was assumed by Carter and others (2001a) that precipitation on these outcrops of Madison and Minnelusa did not contribute to runoff. Isolated outcrops of the Madison and Minnelusa were not excluded from drainage basins because Carter and others (2001a) assumed these outcrops were disconnected from the regional groundwater flow system of both aquifers and contributed to streamflow. Additional adjustments were necessary to account for unmeasured streamflow from tributary basins upgradient of loss zones. Basins with unmeasured streamflow were delineated by including outcrop areas of geologic units older than the Madison and Minnelusa aquifers that were not within the boundaries of basins delineated using streamgages (fig. 9). In total, 55 drainage basins were delineated and closely resembled those of Carter and others (2001a; fig. 9). Drainage area adjustments are shown in table 4 for basins that required adjustment except for basins with unmeasured streamflow.

The 55 drainage basins and streamgages used in calculating streamflow recharge in
                              the Black Hills Region of South Dakota and Wyoming. Drainage basins were designated
                              as “continuous,” “miscellaneous,” or “ungaged” depending on the type of data available
                              for each basin. Basins designated as “continuous” were those with daily streamflow
                              records from U.S. Geological Survey streamgages. Basins designated as “miscellaneous”
                              were those with miscellaneous discrete streamflow records. Basins with no streamflow
                              records were designated as “ungaged.”
Figure 9.

Drainage basins used to estimate annual streamflow recharge in the Black Hills area, South Dakota.

Estimates of streamflow recharge were calculated for drainage basins using three types of streamflow records: (1) those with continuous records, (2) those with miscellaneous discrete measurements, and (3) those with no measurements (ungaged). All available streamflow data were downloaded for each streamgage from the USGS NWIS database (USGS, 2024a). Site information, drainage area, type of streamflow data available, and period of record for each site are summarized in table 3. Of the 55 drainage basins, 13 had continuous streamflow data, 19 had miscellaneous streamflow data, and 23 had no streamflow data (fig. 9). The drainage area for streamgages with continuous records accounted for about 78 percent of the total drainage area. The drainage area for streamgages with miscellaneous or no measurements accounted for 13 and 9 percent, respectively, of the total drainage area.

Recharge From Streams with Continuous Records, 1950–2022

Annual streamflow recharge was calculated for 11 of the 13 basins with continuous-record streamgages. The other two basins were either combined with another basin or excluded from the analysis based on assumptions by Carter and others (2001a). Basins 16 and 16A were combined for recharge calculations, and streamflow losses in basin 36 (Whitewood Creek) were considered negligible based on streamflow observations by Hortness and Driscoll (1998). Recharge calculations for five basins with continuous-record streamgages (Battle, Boxelder, Elk, Spearfish, and Bear Butte Creeks) involved consideration of four basins with miscellaneous-record streamgages (basins 21, 30, 38, and 39) and two ungaged basins (basins 8A and 18A). These six basins were included in calculations of streamflow recharge for basins with continuous-record streamgages and are not addressed in subsequent discussions of recharge for basins with miscellaneous-record streamgages or ungaged basins.

Recharge calculations for basins with continuous-record streamgages involved comparing mean daily streamflow values to loss threshold rates. Loss threshold rates determined by Hortness and Driscoll (1998) or adjusted rates from Carter and others (2001a) were available for all 11 streams with continuous-record streamgages. Loss thresholds were applied to Madison aquifer first and Minnelusa aquifer second if loss thresholds were provided individually for both aquifers because streamflow typically flows overtop outcrops of the Madison Limestone before the Minnelusa Formation. If daily mean flows were less than the loss threshold rate, then daily recharge to the Madison and (or) Minnelusa aquifers was equal to the mean daily flow value. If daily mean flows were equal to or exceeded the loss threshold rate, then the daily recharge to the Madison and (or) Minnelusa aquifers was equal to the loss threshold rate. Calculated daily streamflow losses were aggregated to provide annual streamflow recharge for 1999–2022 and were combined with estimates from Carter and others (2001a) for 1950–98 (table 5).

Table 5.    

Annual streamflow recharge for basins with continuous-record gages, water years 1950–2022, for the Madison and Minnelusa aquifers. Daily streamflow data used in calculations were downloaded from the U.S. Geological Survey National Water Information System database (USGS, 2024a).

[All cells contain values derived from extrapolation of streamflow recharge estimates unless otherwise noted]

Annual streamflow recharge (cubic feet per second)
Water year Rapid Creek
(basins 16 and 16A)
Spearfish Creek
(basins 29 and 30)
Battle Creek
(basins 8 and 8A)
Boxelder Creek
(basins 18 and 18A)
Grace Coolidge Creek
(basin 10)
French Creek
(basin 7)
Spring Creek
(basin 14)
Bear Butte Creek
(basins 37, 38, 39)
Bear Gulch
(basin 11)
Beaver Creek
(basin 1)
Elk Creek
(basins 20 and 21)
Subtotal Total1
1950 210 25.14 3.5 9.89 2.22 4.22 6.33 8.62 0.36 1.74 7.62 44.5 59.64
1951 29.96 24.65 3.36 8.14 2.34 3.87 5.91 7.72 0.35 1.22 7.06 39.96 54.57
1952 29.98 25.58 5.01 12.7 3.97 5.05 18.95 9.61 0.33 0.81 7.26 63.67 79.23
1953 210 25.83 3.84 11.46 2.27 4.33 11.93 8.79 0.36 1.81 7.72 52.51 68.34
1954 210 24.84 3.01 7.19 1.8 3.31 2.22 7.47 0.35 1.17 6.79 33.32 48.16
1955 210 25.48 2.87 7.28 1.71 3.53 0 7.8 0.36 1.51 7.15 32.21 47.69
1956 29.97 24.71 3.06 6.6 1.98 3.21 3.74 7 0.34 0.86 6.51 33.29 47.97
1957 29.02 24.95 5.5 12.9 4.98 5.64 19.99 10.15 0.31 0.39 7.19 67.05 81.02
1958 28.65 24.81 3.44 7.6 2.48 3.63 6.41 7.48 0.33 0.81 6.65 38.83 52.29
1959 29.45 24.38 3.01 5.39 1.93 2.64 4.74 6.21 0.32 0.29 5.82 30.35 44.18
1960 28.71 24.08 2.97 5.55 1.82 2.63 4.58 6.25 0.33 0.4 5.9 30.41 43.2
1961 29.67 23.7 2.87 4.39 1.72 2.14 4.7 5.56 0.31 0 5.34 27.04 40.41
1962 27.82 24.78 24.43 16.39 4.54 6.36 16.78 12.49 0.35 1.64 8.47 71.45 84.05
1963 27.78 26.45 26.61 13.56 4.1 6.07 4.94 12.21 0.35 1.8 8.47 58.12 72.35
1964 210 26.64 25.61 11.78 2.59 5.17 4.68 10.11 0.38 2.39 8.53 51.24 67.88
1965 210 28.19 25.79 21.06 5.53 8.58 7.59 17.16 0.38 3.07 10.53 79.7 97.89
1966 210 26.56 23.94 12.22 2.31 4.85 9.11 9.59 0.38 2.34 8.35 53.08 69.64
1967 210 26.44 25.18 218.13 4.33 7.05 11.54 11.91 0.35 1.72 7.75 67.97 84.41
1968 210 25.84 23.84 29.57 2.97 4.22 7.28 9.04 0.32 0.27 6.05 43.57 59.41
1969 29.99 26.15 23.11 29.18 2.33 3.81 6.21 7.47 0.32 0.2 5.12 37.76 53.9
1970 210 28.26 23.89 216.76 3.18 6.14 9.45 9.14 0.35 1.49 6.11 56.5 74.76
1971 210 28.02 25.01 219.21 4.21 7.27 11.64 11.55 0.35 1.9 7.54 68.68 86.7
1972 29.86 28.01 25.59 218.18 4.68 7.24 12.08 12.78 0.35 1.73 8.26 70.89 88.76
1973 210 28.72 25.56 216.79 4.63 6.86 11.64 12.73 0.35 1.49 8.23 68.29 87.01
1974 210 26.63 21.81 26.58 1.15 2.57 3.76 4.69 0.31 0 3.48 24.35 40.98
1975 29.99 26.55 23.67 214.89 2.95 5.55 8.62 8.67 0.34 1.17 5.83 51.69 68.23
1976 210 26.59 25.16 215.18 4.25 6.27 10.65 11.87 0.34 1.22 7.73 62.67 79.26
1977 210 26.72 22.93 214.73 21.27 5.2 7.6 7.08 0.34 1.14 4.89 45.18 61.9
1978 29.99 27.67 24.46 215.84 23.9 6.14 9.93 10.37 0.34 1.33 6.83 59.14 76.8
1979 210 26.28 24.13 28.79 23.66 4.14 7.42 9.65 0.32 0.13 6.41 44.64 60.92
1980 210 25.59 22.72 25.94 21.17 2.79 4.76 6.65 0.31 0 4.63 28.98 44.57
1981 210 25.03 23.01 24.55 22.45 2.54 4.71 7.25 0.31 0 4.99 29.8 44.83
1982 29.9 26.3 24.14 210.14 23.89 4.5 7.84 9.69 0.32 0.36 6.43 47.32 63.52
1983 210 27.82 23.81 221.64 22.48 27.05 10.78 8.97 0.36 2.31 6.01 63.42 81.24
1984 210 28.03 24.89 219.63 23.97 26.86 11.6 11.28 0.36 1.97 7.37 67.92 85.95
1985 210 25.48 21.22 27.17 20.82 23.53 3.16 3.42 0.31 0 2.73 22.36 37.84
1986 210 25.65 24.32 213.1 22.03 23.63 8.94 10.07 0.33 0.87 6.66 49.97 65.62
1987 210 24.83 26.22 210.92 23.49 25.5 210.64 14.15 0.33 0.5 9.07 60.82 75.65
1988 210 24.92 20.76 25.07 20.61 22.11 21.8 2.44 0.31 0 2.15 15.25 30.17
1989 210 25.03 20.89 24.19 21.2 21.02 20.98 25.56 0.3 0 2.31 16.46 31.49
1990 210 25.04 25.09 26.18 23.4 23.65 26.76 26.76 20.33 0 7.63 39.8 54.84
1991 29.99 24.94 25.15 211.21 24.92 25.63 210.92 211.25 20.29 20.23 7.71 57.32 72.25
1992 210 24.78 23.72 27.57 22.98 24.48 27.46 25.03 20.32 20.33 24.67 236.55 251.33
1993 210 25.26 26.66 218.05 27.12 27.26 213.35 212.76 20.34 20.76 28.36 274.66 289.92
1994 210 26.78 25.21 217.53 23.27 26.02 211.63 214.24 20.35 21.35 29.15 268.75 285.53
1995 210 28.56 26.17 221.09 27.2 28.91 213.64 221.52 20.36 22.77 210.04 291.7 2110.26
1996 210 29.2 28.1 225.55 26.45 210.92 218.02 218.12 20.39 23.98 211.52 2103.07 2122.27
1997 210 210.92 210.5 234.08 29.31 213.07 222.15 225.6 20.39 23.89 213.91 2132.89 2153.81
1998 210 29.59 28.26 228.3 27.57 212.12 218.89 215.27 20.39 23.56 212.25 2106.61 2126.2
1999 210 210.82 211.68 236.47 212.67 214.86 224.00 223.41 0.41 24.56 215.79 143.86 164.69
2000 210 29.72 25.71 220.64 24.69 29.80 213.35 211.82 0.36 23.07 210.73 80.17 99.89
2001 210 28.08 26.35 213.82 23.59 27.55 212.21 29.64 0.34 21.39 27.98 62.85 80.93
2002 210 26.76 23.24 26.34 22.12 24.63 27.40 24.78 0.31 20.95 24.63 34.39 51.15
2003 210 26.89 23.55 29.76 22.67 24.89 28.73 27.62 0.32 20.76 26.85 45.15 62.04
2004 210 26.05 21.17 24.12 20.93 22.36 22.87 23.60 0.30 20.53 23.84 19.73 35.78
2005 210 25.86 22.53 23.80 21.05 22.11 22.74 25.06 0.30 20.42 24.00 22.02 37.88
2006 210 26.42 22.10 28.66 21.19 22.22 22.85 211.98 0.32 20.37 26.93 36.62 53.04
2007 210 26.76 21.41 210.79 20.88 21.74 22.33 213.88 0.33 20.15 29.19 40.69 57.45
2008 210 28.49 23.76 220.66 23.22 25.03 27.78 218.43 0.36 20.22 29.47 68.92 87.41
2009 210 29.47 26.55 223.76 23.99 26.25 211.29 220.26 0.37 20.31 211.81 84.59 104.06
2010 210 29.97 26.64 223.87 26.33 28.58 214.35 218.77 0.37 21.79 211.63 92.32 112.29
2011 210 210.79 25.62 221.18 25.12 29.34 214.75 217.33 0.36 22.83 211.46 87.99 108.77
2012 210 29.04 22.16 28.83 21.42 24.89 27.26 25.39 0.32 21.41 26.66 38.34 57.37
2013 210 28.56 22.52 210.93 20.83 22.46 25.22 210.54 0.33 20.78 28.03 41.62 60.18
2014 210 211.54 28.77 234.18 25.29 29.71 219.96 229.84 0.40 22.18 215.49 125.80 147.34
2015 210 211.51 28.88 229.96 26.90 210.37 219.14 223.09 0.39 23.28 214.98 116.98 138.49
2016 210 29.60 25.84 212.69 22.80 27.42 212.80 27.57 0.33 22.57 29.80 61.83 81.43
2017 210 27.37 24.39 210.54 21.69 25.29 27.22 24.75 0.33 21.27 26.79 42.26 59.63
2018 210 26.92 26.73 216.81 25.14 28.59 213.58 29.92 0.35 22.03 29.49 72.64 89.56
2019 210 28.51 29.04 226.80 27.22 211.14 219.23 225.97 0.38 23.74 212.71 116.22 134.74
2020 210 29.13 27.66 225.49 24.54 210.88 219.98 218.50 0.38 24.13 215.35 106.91 126.04
2021 210 27.63 23.86 210.67 22.38 26.39 211.07 28.04 0.33 22.56 7.08 52.37 70.01
2022 210 27.41 23.09 211.38 21.66 25.12 28.21 210.77 0.33 21.96 7.32 49.84 67.25
Table 5.    Annual streamflow recharge for basins with continuous-record gages, water years 1950–2022, for the Madison and Minnelusa aquifers. Daily streamflow data used in calculations were downloaded from the U.S. Geological Survey National Water Information System database (USGS, 2024a).
1

Individual estimates may not sum to total due to independent rounding.

2

Calculated values for period of daily flow record.

Estimation of annual streamflow recharge for basins involving continuous- and miscellaneous-record streamgages required adjustments to account for contributions from tributaries. Carter and others (2001a) provided detailed descriptions of considerations for each stream used to calculate annual streamflow recharge. For some basins with shared streams, miscellaneous-record streamgages were combined with basins with continuous-record streamgages to create a synthetic daily streamflow record that accounted for losses in ungaged tributaries. Drainage-area ratios and linear-regression analyses were used to create synthetic daily streamflow records. Drainage-area ratios were calculated by adding the drainage areas contributing to runoff for basins with continuous- and miscellaneous-record streamgages and dividing by the drainage area of the continuous-record streamgage. Drainage-area ratios were used for Battle Creek (basins 8 and 8A), Boxelder Creek (basins 18 and 18A), Elk Creek (basins 20 and 21), and Bear Butte Creek (basins 37, 38, and 39; fig. 9).

Linear regression analyses were used to create synthetic daily streamflow for Spearfish Creek (basins 29, 30, and 31) by developing relations between continuous daily flows and miscellaneous flows. Other considerations discussed in Carter and others (2001a) involved accounting for aqueduct influences on recharge along Spearfish Creek, the effect of Pactola Dam on recharge along Rapid Creek (basins 16 and 16A), and the location of streamgages and outcrops of the Madison and Minnelusa aquifers along Bear Gulch (basin 11) and Bear Butte Creek (basins 37, 38, and 39). The same methods used by Carter and others (2001a) for basins with continuous and miscellaneous records were used in this study for consistency. Additional information on special considerations for each stream are provided in Carter and others (2001a) and are not further discussed in this report. Recharge estimates for 1999–2022 for basins requiring adjustments were combined with estimates from Carter and others (2001a) for 1950–98 (table 5).

Annual recharge estimates for 1950–98 were estimated by Carter and others (2001a) using streamflow data and (or) statistical analyses. If available, mean daily streamflow data were used to calculate annual streamflow recharge; however, many sites had sparse streamflow records before the 1980s. Carter and others (2001a) provided annual streamflow recharge for 1950–98 despite only two of the streamgages used to calculate annual streamflow recharge having streamflow records extending back to 1950. Single and multiple linear regression techniques were used by Carter and others (2001a) to extend the record of recharge estimates back to 1950. Streamflow data from Battle (site 9 in table 3; fig. 9) and Boxelder Creeks (site 18 in table 3; fig. 9) were used to extrapolate recharge estimates from 1967 to 1991. Four streamgages (sites 9, 15, 22, and 35 in table 3; fig. 9)—three of which are downstream from loss zones and were not used to calculate streamflow losses—were used as representative streamgages to estimate recharge from 1950 to 1966. Carter and others (2001a) performed a stepwise regression analysis using annual mean flow from the four representative streamgages to estimate recharge for sites without available streamflow data. Additional details regarding statistical analyses are provided in Carter and others (2001a).

Statistical techniques also were used to estimate annual recharge for two sites because streamflow data were unavailable between 1999 and 2022. Streamgages along Bear Gulch (basin 11) and Elk Creek (basins 20 and 21) did not have complete streamflow records because streamgages were decommissioned before 2022. Linear regression equations were developed using the period of available data and a nearby representative streamgage. For Bear Gulch (basin 11) and Elk Creek (basins 20 and 21), the representative streamgage with the best coefficient of determination was Boxelder Creek (basin 18; table 6). Regression equations were used to estimate annual streamflow recharge during 1999–2022 for Bear Gulch (basin 11) and during 2021–22 for Elk Creek (basins 20 and 21) using relations with Boxelder Creek (basin 18; fig. 9).

Table 6.    

Linear regression equations used to estimate annual streamflow recharge for streams with continuous, miscellaneous, and ungaged records.

[R2, coefficient of determination]

Stream or basin Representative stream or basin Type Span of regression Recharge regression Years of estimated recharge
Intercept Coefficient R2 for equation
Bear Gulch (basin 11) Boxelder Creek (basin 18) Continuous 1990–98 0.291 0.033 0.76 1999–2022
Elk Creek (basins 20 and 21) Boxelder Creek (basin 18) Continuous 1992–2020 3.324 0.352 0.91 2021–22
Bear Gulch (basin 24) Elk Creek (basins 20 and 21) Miscellaneous 1992–2018 −0.176 0.184 0.92 2019–22
Beaver Creek (basin 25 and 25A) Bear Butte Creek (basins 37, 38, and 39) Miscellaneous 1992–98 0.521 0.195 0.83 1999–2022
False Bottom Creek (basins 33 and 34) Bear Butte Creek (basins 37, 38, and 39) Miscellaneous 1992–98 0.542 0.247 0.83 1999–2022
Basin 56 Basin 57 Ungaged 1992–98 0.039 0.693 0.81 1999–2022
Table 6.    Linear regression equations used to estimate annual streamflow recharge for streams with continuous, miscellaneous, and ungaged records.
Recharge from Streams with Miscellaneous Records, Water Years 1992–2022

In total, 11 basins had miscellaneous-record streamgages (table 4). Four of the 11 basins were considered previously in calculations of recharge for basins with continuous-record streamgages and were not analyzed using methods for basins with miscellaneous-record streamgages. Additionally, two more basins, Iron Creek (basin 26) and Higgins Gulch (basin 32), were excluded from streamflow recharge calculations because Hortness and Driscoll (1998) determined streams in both basins gained flow across outcrops of the Madison and Minnelusa aquifers. Loss thresholds determined by Hortness and Driscoll (1998) or adjusted by Carter and others (2001a) were used for the remaining five basins. Loss thresholds for Victoria Creek (basin 17) and Beaver Creek (basin 25) included losses from drainage areas in ungaged basins 17A and 25A. Therefore, these two ungaged basins are included in analyses in this section and are not addressed in the subsequent section addressing ungaged streams.

The methods used to quantify recharge for basins with continuous-record streamgages could not be used for basins with miscellaneous-record streamgages because mean daily streamflow data were unavailable. Instead, Carter and others (2001a) computed synthetic daily streamflow data for basins with miscellaneous-record streamgages using representative streamgages. A representative streamgage with continuous records was selected for each basin with a miscellaneous streamgage based on proximity, streamflow characteristics, and elevation. A drainage-area ratio was calculated for each basin pair by dividing the drainage area of the miscellaneous streamgage by the drainage area of the representative continuous streamgage (table 7). If applicable, adjusted drainage areas that excluded outcrops of the regional Madison and Minnelusa aquifers were used in drainage-area ratio calculations. Representative streamgages included French Creek (site 7), Battle Creek (site 8), Annie Creek (site 27), and Cleopatra Creek (site 28; table 4). Mean daily streamflow data for two representative streamgages with continuous records were not available for all years from 1999 to 2022 because the streamgages were decommissioned. The streamgages along Annie Creek (site 27) and Cleopatra Creek were decommissioned in 2018 and 1998, respectively. Therefore, statistical regression techniques instead of drainage-area ratios were used to estimate recharge for years without streamflow data.

Table 7.    

Selected information used to estimate recharge from streams with miscellaneous-record streamgages. Drainage basins shown for streams shown in figure 9.
Stream name and basin number Representative continuous-record streamgage Drainage-area ratio
Reaves Gulch (2) French Creek (site 7) 0.065
Highland Creek (3) 0.083
South Fork Lame Johnny Creek and Flynn Creek (4 and 5) 0.139
North Fork Lame Johnny Creek (6) 0.027
Spokane Creek (12 and 13) Battle Creek (site 8) 0.128
Victoria Creek (17 and 17A) 0.191
Little Elk Creek (23) Boxelder Creek (site 18) 0.131
Bear Gulch (24) Annie Creek (site 27) 1.74
Beaver Creek (25 and 25A) Cleopatra Creek (site 28) 1.30
False Bottom Creek (33 and 34) 1.50
Table 7.    Selected information used to estimate recharge from streams with miscellaneous-record streamgages. Drainage basins shown for streams shown in figure 9.

Drainage-area ratios and (or) statistical regression techniques were used to estimate recharge for 1992–2022 for basins with miscellaneous-record streamgages depending on the availability of mean daily streamflow data. If mean daily streamflow data were available, then drainage-area ratios (table 7) were multiplied by mean daily streamflow data from the representative continuous-record streamgage to create a synthetic daily streamflow record for each basin with a miscellaneous-record streamgage. Loss thresholds (table 4) were applied to the synthetic daily streamflow record and aggregated by water year to calculate annual streamflow recharge. Noted recharge values in table 8 were calculated using synthetic daily streamflow data and loss thresholds.

Table 8.    

Annual streamflow recharge for streams with miscellaneous measurements sites, water years 1992–2022. Daily streamflow data used in calculations were synthesized from daily streamflow records downloaded from the U.S. Geological Survey National Water Information System database (U.S. Geological Survey, 2024a).

[All cells contain values derived from extrapolation of streamflow recharge estimates unless otherwise noted]

Water year Annual streamflow recharge (cubic feet per second) Total1
Reaves Gulch (basin 2) Highland Creek (basin 3) South Fork Lame Johnny Creek and Flynn Creek (basins 4 and 5) North Fork Lame Johnny Creek (basin 6) Spokane Creek (basins 12 and 13) Victoria Creek (basins 17 and 17A) Little Elk Creek (basin 23) Bear Gulch (basin 24) Beaver Creek (basins 25 and 25A) False Bottom Creek (basins 33 and 34)
1992 20.17 20.37 20.6 20.12 20.45 20.64 20.9 20.56 21.23 21.46 6.5
1993 20.15 20.96 20.79 20.3 21.14 21.06 21.69 21.36 23.16 23.88 14.49
1994 20.17 20.59 20.72 20.19 20.65 20.88 21.72 21.5 22.97 23.66 13.05
1995 20.19 22.27 20.95 20.63 21.24 21.13 21.96 22.27 25.07 26.27 21.98
1996 20.2 21.45 21.22 20.46 21.17 21.33 22.39 21.79 25.08 26.36 21.45
1997 20.2 22.01 21.34 20.64 21.79 21.67 22.89 22.13 24.75 25.92 23.36
1998 20.2 21.59 21.3 20.51 21.25 21.33 22.67 22.25 23.33 24.01 18.45
1999 20.20 22.68 21.40 20.87 22.26 21.82 23.09 22.87 5.09 6.33 26.61
2000 20.19 21.03 21.11 20.33 20.83 20.94 22.13 21.67 2.83 3.46 14.52
2001 20.20 20.75 20.88 20.24 20.87 21.04 21.60 21.20 2.40 2.92 12.11
2002 20.16 20.40 20.58 20.13 20.39 20.55 20.75 20.65 1.45 1.72 6.78
2003 20.15 20.45 20.60 20.15 20.51 20.59 21.11 21.22 2.01 2.42 9.20
2004 20.13 20.20 20.33 20.06 20.14 20.20 20.49 20.55 1.22 1.43 4.75
2005 20.11 20.18 20.29 20.06 20.31 20.43 20.45 20.72 1.51 1.79 5.85
2006 20.11 20.19 20.30 20.06 20.25 20.36 20.88 21.23 2.86 3.50 9.74
2007 20.09 20.16 20.23 20.05 20.18 20.24 21.14 21.67 3.23 3.97 10.96
2008 20.14 20.61 20.58 20.19 20.61 20.60 21.74 21.37 4.11 5.09 15.06
2009 20.18 20.62 20.73 20.20 21.09 21.04 22.33 21.79 4.47 5.55 18.00
2010 20.19 21.52 20.95 20.47 21.19 21.06 22.22 21.76 4.18 5.18 18.72
2011 20.20 21.34 21.05 20.41 20.93 20.92 22.11 21.96 3.90 4.82 17.64
2012 20.16 20.41 20.66 20.13 20.25 20.37 21.05 21.21 1.57 1.87 7.70
2013 20.12 20.20 20.34 20.07 20.35 20.42 21.20 21.17 2.58 3.14 9.58
2014 20.20 21.21 21.05 20.39 21.45 21.42 22.98 22.76 6.34 7.91 25.72
2015 20.20 22.18 21.15 20.64 21.64 21.41 22.85 22.72 5.02 6.25 24.06
2016 20.19 20.63 20.96 20.21 20.76 20.99 21.51 21.64 2.00 2.41 11.30
2017 20.18 20.45 20.68 20.15 20.56 20.72 21.25 20.81 1.45 1.72 7.96
2018 20.19 21.42 20.92 20.44 21.17 21.08 21.78 21.51 2.46 2.99 13.96
2019 20.20 22.60 21.15 20.78 21.59 21.43 22.26 2.16 5.59 6.96 24.72
2020 20.20 21.38 21.19 20.45 21.16 21.24 22.52 2.65 4.13 5.11 20.03
2021 20.18 20.62 20.75 20.20 20.48 20.66 21.26 1.13 2.09 2.53 9.93
2022 20.17 20.44 20.66 20.14 20.37 20.53 21.29 1.17 2.62 3.20 10.64
Table 8.    Annual streamflow recharge for streams with miscellaneous measurements sites, water years 1992–2022. Daily streamflow data used in calculations were synthesized from daily streamflow records downloaded from the U.S. Geological Survey National Water Information System database (U.S. Geological Survey, 2024a).
1

Individual estimates may not sum to total due to independent rounding.

2

Calculated values for period of daily flow record.

If mean daily streamflow were unavailable at representative continuous-record streamgages, then statistical regression techniques were used to estimate recharge. Linear regression equations were developed for Bear Gulch (basin 24), Beaver Creek (basins 25 and 25A), and False Bottom Creek (basins 33 and 34) using relations between annual recharge estimates for each of the three streams and streams with continuous records (table 6). Annual recharge estimates for Bear Gulch (basin 24), Beaver Creek (basins 25 and 25A), and False Bottom Creek (basins 33 and 34) were regressed with annual recharge estimates from representative continuous-record streamgages based on proximity, streamflow characteristics, and elevation. Spearfish Creek (basins 29 and 30) was excluded because it is controlled by an aqueduct that alters the natural streamflow characteristics along the loss zone. Some of the annual streamflow recharge estimates in table 8 were estimated using linear regression.

Carter and others (2001a) used statistical regression techniques to estimate annual streamflow recharge to the combined Madison and Minnelusa aquifers for 1950–91 for basins with miscellaneous-record streamgages. The techniques used in this study to estimate recharge deviated slightly from Carter and others (2001a) and are discussed in appendix 1.

Recharge From Ungaged Streams, Water Years 1992–2022

Ungaged basins were relatively small drainage areas (fig. 9) with undetermined loss thresholds. In total, 18 basins were ungaged and five of the ungaged basins were included in recharge calculations for basins with a continuous-record (8A, 18A, 36A) or miscellaneous-record (basins 17A and 25A) streamgage. Hortness and Driscoll (1998) did not determine loss thresholds for ungaged basins, so Carter and others (2001a) assumed 90 percent of streamflow generated within ungaged basins became recharge to the Madison and Minnelusa aquifers. The loss threshold of 90 percent of streamflow was considered appropriate because Carter and others (2001a) observed that streamflow seldom occurred downstream from loss zones in each basin.

Drainage-area ratios and (or) statistical regression techniques were used to estimate recharge for water years 1992–2022 for ungaged basins, depending on the availability of mean daily streamflow data. Because mean daily streamflow data were unavailable for ungaged basins, a representative basin with a continuous-record streamgage was selected for each basin with an ungaged stream. Four basins with a continuous-record streamgage represented streamflow in 18 ungaged basins (table 9). Drainage-area ratios were calculated by Carter and others (2001a) by dividing the total drainage area of ungaged basins associated with each streamgage by the drainage area of the representative continuous-record streamgage (table 9). Mean annual daily streamflow for each water year from the representative continuous-record streamgage was multiplied by the drainage-area ratio and by 0.90 (90-percent loss threshold) to calculate annual streamflow recharge. Annual streamflow recharge for ungaged basins represents recharge to the Madison and Minnelusa aquifers because individual recharge estimates could not be calculated. Annual streamflow recharge for basins in Wyoming were estimated using the same methods as Carter and others (2001a) by multiplying the combined recharge for Bear Gulch (basin 24) and Beaver Creek (basins 25 and 25A) in table 8 by a factor of 2.

Table 9.    

Summary of selected information used to estimate recharge from ungaged streams.
Basin numbers Drainage area, in square miles Representative continuous-record streamgage
(table 3)
Representative continuous-record streamgage drainage area Drainage-area ratio
40–50 51.47 French Creek (site 7) 105 0.49
51–55 12.41 Battle Creek (site 8) 163.33 0.20
56 10.55 Bear Butte Creek (site 37) 16.6 0.64
57 6.96 Cleopatra Creek (site 28) 6.95 1.00
Table 9.    Summary of selected information used to estimate recharge from ungaged streams.
1

Adjusted drainage area from table 4.

Mean daily streamflow data were available for 1999–2022 for representative streamgages along French Creek (site 7 in table 3), Battle Creek (site 8 in table 3), and Bear Butte Creek (site 37 in table 3). Synthetic mean daily streamflow records generated from representative streamgages and the loss threshold of 0.90 were used to calculate annual streamflow recharge estimates for basins 40–50, basins 51–55, and basin 56 (table 10). Mean daily streamflow data were unavailable for 1999–2022 for the representative streamgage along Cleopatra Creek because it was decommissioned in 1998. Instead, linear regression using relations among annual recharge estimates for basin 56 and basin 57 between 1992 and 1998 from Carter and others (2001a) was used to develop a regression equation for basin 57 (table 6). Annual streamflow recharge estimates from the linear regression equation for basin 57 are provided in table 10.

Table 10.    

Annual streamflow recharge from ungaged basins, water years 1992–2022, for the Madison and Minnelusa aquifers. Daily streamflow data used in calculations were synthesized from daily streamflow records downloaded from the U.S. Geological Survey National Water Information System database (U.S. Geological Survey, 2024a).

[--, not determined]

Water year Annual streamflow recharge (cubic feet per second)
Ungaged basins and representative continuous-record stations
Basins 40-50
(French Creek)
Basins 51-55
(Battle Creek)
Basin 56
(Bear Butte Creek)
Basin 57
(Cleopatra Creek)
Wyoming basins Total1
1992 2.02 0.67 1.31 0.89 3.58 8.47
1993 5.29 2.91 4.36 2.83 9.04 24.42
1994 3.11 0.97 5.03 3.52 8.94 21.58
1995 15.3 5.33 8.41 7.6 14.68 51.33
1996 7.76 2.77 6.53 4.96 13.74 35.76
1997 10.89 4.56 9.79 5.38 13.76 44.38
1998 8.6 2.48 4.86 3.02 11.16 30.12
1999 14.42 5.30 8.40 5.86 15.91 49.90
2000 5.49 1.44 3.79 2.67 9.00 22.40
2001 3.96 1.50 2.90 2.05 7.20 17.62
2002 2.14 0.60 1.39 1.01 4.21 9.35
2003 2.42 0.84 2.22 1.58 6.45 13.51
2004 1.04 0.21 0.93 0.68 3.55 6.42
2005 0.94 0.48 1.41 1.02 4.46 8.31
2006 0.98 0.39 4.23 2.97 8.18 16.75
2007 0.83 0.28 4.65 3.26 9.79 18.81
2008 3.27 1.43 7.21 5.04 10.96 27.91
2009 3.27 1.82 7.19 5.02 12.53 29.83
2010 8.53 3.68 6.68 4.67 11.88 35.44
2011 7.69 2.73 6.23 4.36 11.72 32.73
2012 2.18 0.39 1.39 1.00 5.56 10.52
2013 1.08 0.58 3.71 2.61 7.49 15.47
2014 6.50 3.11 11.45 7.98 18.20 47.24
2015 12.51 6.81 8.77 6.12 15.49 49.69
2016 3.36 1.36 1.96 1.39 7.27 15.34
2017 2.41 0.88 1.22 0.88 4.51 9.91
2018 7.65 2.81 2.97 2.10 7.94 23.46
2019 16.05 4.63 10.51 7.32 15.50 54.01
2020 7.35 1.80 6.14 4.30 13.55 33.14
2021 3.30 0.75 2.12 1.51 6.43 14.19
2022 2.34 0.57 3.40 2.40 7.59 16.37
Combined area
(square miles)
51.47 12.41 10.55 6.96 -- --
Table 10.    Annual streamflow recharge from ungaged basins, water years 1992–2022, for the Madison and Minnelusa aquifers. Daily streamflow data used in calculations were synthesized from daily streamflow records downloaded from the U.S. Geological Survey National Water Information System database (U.S. Geological Survey, 2024a).
1

Individual recharge estimates may not sum to total due to independent rounding.

Carter and others (2001a) used statistical regression techniques to estimate annual recharge to the combined Madison and Minnelusa aquifers for 1950–91 for ungaged basins. The techniques used to estimate recharge deviated slightly from Carter and others (2001a) and are discussed in the appendix 1.

Precipitation and Streamflow Recharge, 1931–2022

Summary statistics for precipitation and streamflow recharge were calculated by aquifer, if applicable, for the study area and by aquifer for subareas 1–9 (table 11) using annual recharge estimates from 1931 to 2022 in appendix 1. Statistics include minimum; maximum; mean; and the 25th, 50th (median), and 75th percentiles. Statistics were calculated for each aquifer for estimates of precipitation recharge. Streamflow recharge estimates were considered only for the Madison and Minnelusa aquifers and were combined because streamflow loss thresholds for some streams could not be differentiated by aquifer. Recharge estimates from this study (table 11) also were compared, if appropriate, to estimates from Driscoll and Carter (2001) and Carter and others (2001a, 2001b).

Total mean annual recharge for all aquifers in the study area for 1931–2022 was estimated as 278,900 acre-feet (acre-ft), with 205,100 acre-ft from precipitation recharge and 73,800 acre-ft from streamflow recharge (table 11). Mean annual precipitation recharge was greatest for the Madison (57,000 acre-ft) and Minnelusa (98,100 acre-ft) aquifers, which combined accounted for about 76 percent (or 155,100 acre-ft) of the total mean annual precipitation recharge (table 11). Mean annual precipitation recharge for the Deadwood, Minnekahta, Sundance, and Inyan Kara aquifers combined accounted for 24 percent (or 50,100 acre-ft) of the total mean annual precipitation recharge (table 11). Mean annual streamflow recharge, considered only for the Madison and Minnelusa aquifers, was about 73,800 acre-ft (table 11). Combined mean annual recharge was 228,900 for the Madison and Minnelusa aquifers (sum of mean annual precipitation and streamflow recharge in table 11), or about 82 percent of the total recharge in the study area. Total mean annual recharge for 1950–98 estimated by Driscoll and Carter (2001) could not be directly compared to results from this study because recharge to outcrops in Wyoming were excluded.

Recharge estimates for the combined Madison and Minnelusa aquifers from this study were directly compared to estimates from Carter and others (2001a) and Driscoll and Carter (2001). Mean annual precipitation recharge for the Madison (57,000 acre-ft) and Minnelusa (98,100 acre-ft) aquifers for 1931–2022 from this study were 34 and 7 percent, respectively, greater than estimates from Carter and others (2001a). Driscoll and Carter (2001) estimated precipitation recharge to the combined Madison and Minnelusa aquifers as 144,500 acre-ft for the wetter period from 1950 to 1998, which was about 7 percent less than estimates of combined precipitation recharge in this study (155,100 acre-ft; table 11). Greater precipitation recharge estimates were expected for this study because the mean precipitation for 1999–2022 (21.16 inches; Palecki and others, 2021) was greater than the long-term mean precipitation from 1950 to 1998 presented in Driscoll and Carter (2001; 18.98 inches).

Mean annual streamflow recharge for 1931–2022 was about 73,800 acre-ft (table 11), which was 9 percent greater than estimates by Carter and others (2001a; about 67,500 acre-ft) for 1931–98 and 4 percent greater than estimates by Driscoll and Carter (2001; 70,900 acre-ft) for 1950–98. Greater streamflow recharge was expected because streamflow increased in response to greater mean annual precipitation during 1999–2022. Carter and others (2001a) estimated mean annual recharge of 202,000 acre-ft for the combined Madison and Minnelusa aquifers, which was about 13 percent less than total recharge estimates in this study (228,900 acre-ft). Driscoll and Carter (2001) estimated combined recharge as 215,400 acre-ft or about 6 percent less than in this study.

Table 11.    

Annual precipitation and streamflow recharge statistics for the Deadwood, Madison, Minnelusa, Minnekahta, Sundance, and Inyan Kara aquifers by subarea. Streamflow recharge values are given only for the combined Madison and Minnelusa aquifers. Recharge values do not include inflows from aquifer exchange or regional groundwater flow.
Statistic Recharge (acre-feet) Total mean annual recharge by subarea
(acre-feet)
Precipitation Streamflow1 Precipitation recharge2 Total recharge3
Deadwood Madison Minnelusa Minnekahta Sundance Inyan Kara
Mean 2,622 26,227 62,418 12,452 5,321 4,906 13,232 113,946 127,178
Standard deviation 1,650 14,587 33,760 6,845 2,962 2,865 4,743
Minimum 301 3,064 8,975 2,311 1,141 1,008 5,880
25th percentile 1,370 14,458 36,348 7,348 3,141 2,661 9,176
Median 2,051 22,411 55,036 10,528 4,405 4,164 12,823
75th percentile 3,565 35,832 85,416 17,012 7,104 6,790 15,397
Maximum 7,560 66,931 152,657 31,613 13,920 13,186 26,765
Mean 1,366 3,981 4,322 1,243 580 2,311 14,244 13,803 28,047
Standard deviation 832 2,434 2,626 760 363 1,452 7,530
Minimum 146 446 515 156 80 324 3,559
25th percentile 767 2,158 2,381 669 321 1,287 9,110
Median 1,113 3,277 3,621 1,042 485 1,950 12,849
75th percentile 1,952 5,447 6,109 1,650 758 3,033 16,460
Maximum 3,820 11,009 13,170 4,099 2,039 8,243 41,395
Mean 1,276 2,142 601 395 141 1,262 6,420 5,817 12,237
Standard deviation 771 1,383 387 254 94 847 2,525
Minimum 125 241 75 53 18 159 1,826
25th percentile 739 1,212 327 208 77 701 4,795
Median 1,051 1,700 479 327 114 1,011 6,123
75th percentile 1,656 2,819 777 536 183 1,648 7,375
Maximum 3,839 6,970 1,878 1,211 449 4,030 13,668
Mean 999 2,750 2,318 569 211 592 23,825 7,439 31,264
Standard deviation 707 2,082 1,796 452 166 464 9,284
Minimum 101 262 222 50 19 54 10,450
25th percentile 558 1,477 1,263 304 111 308 16,156
Median 801 2,209 1,795 438 165 468 22,412
75th percentile 1,300 3,467 2,961 719 266 771 29,472
Maximum 4,143 12,460 11,299 3,050 1,118 3,073 52,430
Mean 293 718 1,089 227 169 739 7,044 3,235 10,279
Standard deviation 216 526 784 158 118 512 3,913
Minimum 42 104 162 36 27 120 1,379
25th percentile 144 342 523 104 77 336 4,394
Median 230 569 873 186 143 627 6,068
75th percentile 373 924 1,423 296 213 957 8,629
Maximum 1,117 2,780 4,289 845 669 2,937 23,017
Mean 68 235 292 71 92 407 5,056 1,165 6,221
Standard deviation 47 159 191 46 60 267 2,582
Minimum 10 35 47 12 16 71 1,056
25th percentile 35 120 145 34 43 193 3,231
Median 57 194 243 60 78 341 4,584
75th percentile 87 302 383 94 124 555 6,288
Maximum 240 800 942 222 304 1,452 14,103
Mean 66 279 423 202 73 456 1,736 1,499 3,235
Standard deviation 45 189 282 133 49 305 1,225
Minimum 10 41 61 29 12 75 209
25th percentile 35 151 224 103 37 234 891
Median 58 244 380 179 64 395 1,452
75th percentile 82 348 524 257 93 574 2,188
Maximum 247 1,048 1,480 668 240 1,500 5,996
Mean 157 1,296 2,649 827 355 2,642 2,228 7,926 10,154
Standard deviation 106 854 1,641 505 212 1,567 1,663
Minimum 19 173 425 104 46 327 466
25th percentile 78 656 1,425 442 190 1,457 1,260
Median 132 1,082 2,331 731 318 2,292 1,839
75th percentile 189 1,542 3,346 1,070 456 3,326 2,457
Maximum 556 4,321 7,612 2,433 1,020 8,203 9,048
Mean 11 19,375 23,949 5,480 410 1,090 0 50,315 50,315
Standard deviation 8 11,657 13,804 2,744 225 617 0
Minimum 1 2,712 4,106 1,042 77 233 0
25th percentile 5 10,478 12,884 3,301 241 646 0
Median 9 17,534 22,041 4,954 376 941 0
75th percentile 13 24,307 30,053 7,357 530 1,422 0
Maximum 39 49,738 59,274 11,714 1,144 3,518 0
Total mean annual recharge 6,858 57,003 98,061 21,466 7,352 14,405 73,785 205,145 278,930
Table 11.    Annual precipitation and streamflow recharge statistics for the Deadwood, Madison, Minnelusa, Minnekahta, Sundance, and Inyan Kara aquifers by subarea. Streamflow recharge values are given only for the combined Madison and Minnelusa aquifers. Recharge values do not include inflows from aquifer exchange or regional groundwater flow.
1

Streamflow recharge considered only for the Madison and Minnelusa aquifers. Streamflow recharge in Subarea 9 was assumed to be zero based on assumptions by Carter and others (2001b).

2

Total mean annual precipitation recharge by subarea was calculated as the sum of mean annual precipitation recharge for each aquifer within a subarea.

3

Total mean annual recharge by subarea was calculated as the sum of mean annual precipitation and streamflow recharge for each aquifer within a subarea.

Precipitation and streamflow recharge varied among subareas 1–9 (fig. 10A; table 11) depending on the spatial variability of precipitation, outcrop surface area, and the distribution of streamflow loss zones. Precipitation recharge generally was greatest in the northern and western Black Hills (subareas 1–4 and 9; fig. 10A; table 11) where mean annual precipitation was relatively high (fig. 8) and outcrop areas were extensive for many aquifers (fig. 7). Mean annual precipitation recharge in subareas 1 (Spearfish area) and 9 (Jewel Cave area) combined accounted for 80 percent of the precipitation recharge in the study area. In contrast, precipitation recharge was lowest in the southern and eastern Black Hills (subareas 5–8; fig. 10A; table 11) because of lower mean annual precipitation (fig. 8) and, except for subarea 8 (Hot Springs area), limited outcrops of aquifers (fig. 7). Subarea 8 had extensive outcrops of the Madison and Minnelusa aquifers but received relatively little precipitation compared to subareas further north.

A, Pie charts for subareas 1 through 9 showing the distribution of mean annual precipitation
                           recharge by aquifer and mean annual streamflow recharge for the Madison and Minnelusa
                           aquifers combined. Precipitation recharge was greatest in subarea 1 (Spearfish area)
                           and streamflow recharge was greatest in subarea 4 (Rapid City area). Streamflow recharge
                           was the greatest recharge component in subareas 2 through 7. B, Bar graph showing
                           the total mean annual for subareas 1 through 9. Total mean annual recharge (precipitation
                           and streamflow recharge combined) generally was greatest for subareas 1 through 4
                           and 9 in the northern and western Black Hills.
Figure 10.

Mean annual precipitation and streamflow recharge for the Deadwood, Madison, Minnelusa, Minnekahta, Sundance, and Inyan Kara aquifers in subareas 1–9. A, Pie charts showing the distribution of recharge in subareas 1–9 for each aquifer. Streamflow recharge was considered only for the Madison and Minnelusa aquifers and was separated from precipitation recharge for comparison. B, Mean total recharge (sum of precipitation and streamflow recharge) for subareas 1–9 on a logarithmic y-axis.

Streamflow recharge also generally was greatest for subareas in the northern and western Black Hills (fig. 10A; table 11). Greater precipitation (fig. 8) and relatively high loss thresholds for many streams contributed to the relatively high streamflow recharge for subareas in the northern Black Hills. An exception was subarea 9 (Jewel Cave area) where Carter and others (2001b) noted precipitation predominantly infiltrates the extensive outcrops of the Madison and Minnelusa aquifers or evaporates before reaching any streams. Streamflow recharge was greatest in subarea 4 (Rapid City area; fig. 10A; table 11) and contributed to about 76 percent of total recharge in the subarea. Similarly, most of the total recharge was streamflow recharge for subareas along the eastern flank of the Black Hills (subareas 2–7). Streamflow recharge in subarea 1 also was relatively high but did not constitute most of the recharge in the subarea (fig. 10A).

Outflows—Artesian Springflow and Well Withdrawals

Outflow components estimated for the hydrologic budget include artesian springflow and well withdrawals. Artesian springflow consists of springs discharging at the land surface from confined aquifers located downstream from loss zones, which are typically present at the periphery of the Black Hills. These springs are generally situated near or within outcrops of the Spearfish Formation and originate from the Madison or Minnelusa aquifers (Carter and others, 2001b). Some artesian springs, such as Cleghorn/Jackson Springs, are located within the outcrops of the Minnelusa Formation, where the Madison aquifer is confined by the Minnelusa Formation. Artesian springflow was estimated only for the Madison and Minnelusa aquifers. Well withdrawals include water pumped from wells, with water rights information gathered from the SDDANR (2024a) and Wyoming State Engineer’s Office (WYSEO, 2024a). These withdrawals were estimated by calendar year instead of water year, because most users report their water usage in calendar years.

Artesian Springflow

Artesian springflow in the study area was estimated using similar methods as Carter and others (2001b) for the Madison and Minnelusa aquifers (appendix 3). Artesian springflow was assumed to be zero for all other aquifers. It is possible artesian springflow exists for one or more of the Deadwood, Minnekahta, Sundance, and Inyan Kara aquifers; however, information on possible springs and their discharge rates was unavailable and, therefore, was not estimated in this study.

Mean annual springflow estimates were based on streamflow records from streamgages (fig. 11; table 12). The period of record and the methods used to estimate mean annual artesian springflow varied for each site and are discussed in appendix 3. Streamflow records at these streamgages were analyzed for the available period of record through 2022 using data from the USGS NWIS (USGS, 2024a). Annual streamflow and base flow estimates were determined using the USGS Groundwater Toolbox version 1.3.1 (Barlow and others, 2014; 2017). Base flow for this study was calculated using the base flow index (BFI) standard hydrograph-separation method (Barlow and others, 2014). Streamgages were assigned to a subarea based on location to estimate artesian springflow for each subarea budget (table 12).

Drainage basins and streamflow gaging sites used to calculate artesian and headwater
                           springflow in the Black Hills region of South Dakota and Wyoming. Streamgages along
                           the periphery of the Black Hills were used to calculate artesian springflow. Headwater
                           springflow was calculated using precipitation recharge on outcrops of the Deadwood,
                           Madison, and Minnelusa aquifers. For outcrops of the Deadwood aquifer in the Little
                           Elk Creek, Meadow Creek, and Spearfish Creek drainage basins, 50 percent of precipitation
                           recharge was considered to contribute to artesian springflow. Precipitation recharge
                           on outcrops of the Deadwood, Madison, and Minnelusa aquifers in the headwater springs
                           area on the Limestone Plateau of the western Black Hills was used to calculate headwater
                           springflow.
Figure 11.

U.S. Geological Survey streamgages used for estimating artesian springflow.

Table 12.    

Site information for streamgages and miscellaneous-record streamgages used for estimating mean annual artesian springflow.

[NWIS, National Water Information System; ID, identification; WY, water year; ft3/s, cubic feet per second; BFI, base flow index; --, not applicable or no data]

Name NWIS ID for site used in calculating springflow Budget subarea Period of record (WY) available and used for analysis Mean BFI estimated base flow (ft3/s) Mean BFI Mean annual streamflow, if applicable (ft3/s) Mean annual artesian springflow (ft3/s) Mean annual artesian springflow (acre-ft) Subarea mean annual artesian springflow (ft3/s)
Redwater River 06431500 and 06433000 1 1947–2022 -- -- -- 103.6 75,002 2114.5
Spearfish Creek 06431500 and 06432020 1 1989–98 -- -- -- 10.9 7,891
Elk Creek 06424000 and 06425100 3 1992–2020 -- -- -- 6.1 4,416 6.1
Jackson and Cleghorn Springs 06412500 and 06412900 4 1988–94 -- -- -- 23.6 17,085 229.5
Other Rapid City springs 06413600, 06413650, and 06413800 4 1991–96, 1988–2002, 1988–90, respectively -- -- -- 5.4 3,909
Boxelder Creek 06423010 and 06422500 4 1978–2010 0.47 0.15 -- 0.5 362
Battle Creek 06404000, 06404998, and 06406000 5 1976–2022 8.2 0.78 17.4 8.2 5,936 8.2
Beaver Creek above Buffalo 06402470 7 1991–97 9.9 0.98 10.2 9.9 7,167 9.9
Cascade Springs 06400497 8 1976–95 19.4 0.99 19.5 19.4 14,045 248.1
Springs near Cascade1 432013103332200 and 432012103331100 8 September 12, 1996, and March 6, 2024 -- -- 4.3 4.3 3,113
Fall River at Hot Springs 06402000 8 1939–46; 1948–2020 24.4 0.96 25.3 24.4 17,665
Stockade Beaver Creek, near Newcastle, Wyo. 06392950 9 1975–81; 1992–2019 13.2 0.9 14.1 13.2 9,556 13.2
Total -- -- -- -- -- -- 229.5 166,149 --
Table 12.    Site information for streamgages and miscellaneous-record streamgages used for estimating mean annual artesian springflow.
1

Measurements from 1996 and 2024 were used for analysis because of the infrequent measurements, even though 2024 is outside the study period.

2

Value indicates the total springflow within the subarea.

Well Withdrawals

Well withdrawals were determined for all aquifers monitored by State agencies in South Dakota and Wyoming, which included some aquifers that were not part of the hydrologic budget but were included to estimate the total mean annual well withdrawals in the study area. Regional aquifers included in the hydrologic budget were the Deadwood, Madison, Minnelusa, Minnekahta, Sundance, and Inyan Kara. Additional aquifers for which well withdrawals were estimated include the crystalline core aquifer (consisting of Tertiary and Precambrian igneous and metamorphic rocks); an undifferentiated group of minor aquifers termed “other aquifers” within the Opeche Shale, Spearfish Formation, Unkpapa Sandstone, Newcastle Sandstone, and Pierre Shale; and Quaternary alluvial deposits. The following sections summarize the methods used to collect and analyze well withdrawal data for aquifers in the study area. Additionally, annual well withdrawal patterns from 2003 to 2022 in the study area and in each subarea are discussed.

Methods of Data Collection for Groundwater Permits and Well Withdrawals

The process for estimating well withdrawals in the study area involved three steps. First, water rights from South Dakota and Wyoming were reviewed and downloaded to calculate the total annual volume of water allowed to be diverted from each aquifer in each subarea. Second, well withdrawal data were obtained from water systems, the SDDANR (2024a), and the WYSEO (2024a). In some instances, water users are not required to report well withdrawals and did not provide historical well withdrawal data; therefore, the third step was to synthesize well withdrawal data for these systems, which is described in the following sections. A well withdrawal dataset consisting of real and synthetic well withdrawal information was constructed from 2003 to 2022 using compiled well withdrawal datasets and synthetic data.

Water Rights and Permit Information

Laws regarding water rights in South Dakota and Wyoming were reviewed before downloading permit information and estimating well withdrawals. A brief discussion of laws in each State is provided so that readers are aware of the uncertainty in well withdrawal estimates. In South Dakota, water users are required to obtain a water right permit for groundwater depending on the type of water use and if the requested maximum diversion rate exceeds a certain threshold. According to South Dakota Codified Law 46–1–6 (South Dakota State Legislature, 2024a), the only type of water use that does not require a permit is domestic, unless one of the following apply: the water use exceeds 18 gallons per minute (gal/min); irrigation of noncommercial land exceeds 1 acre in size; or the peak pumping rate exceeds 25 gal/min. Additionally, water distribution systems using 18 gal/min or less do not need to apply for a water right permit for groundwater. In Wyoming, all water users intending to utilize groundwater must obtain a permit from the State Engineer before construction and development (Wyoming Statutes Title 41, Chapter 3, Provision 930; Wyoming State Legislature, 2024). Well withdrawals for users in South Dakota with systems using 18 gal/min or less were not included in analyses because no information was available on the number of active wells and most wells did not specify the aquifer in which it was completed. It is likely well withdrawals from smaller systems constitutes a relatively small proportion of the total well withdrawals but may be locally important in some areas of the Black Hills.

Groundwater permit and license information were obtained from the SDDANR water rights database (SDDANR, 2024a) and the WYSEO permit database (WYSEO, 2024a). The criteria used for downloading water rights permit data include (1) permits with a priority date on or before December 31, 2022; (2) only permits from groundwater sources; (3) only permits within the study area; and (4) the status of the permit was “Licensed,” “Permitted,” or “Future use” in the SDDANR database and “Adjudicated” in the WYSEO database. Cancelled and unused water rights were not included, although it is acknowledged that some cancelled permits may have been active during the period of investigation. Location information provided in each permit was used to exclude those outside the study area and to separate water rights into the nine subareas constituting the study area. In total, the study area included 808 total active and future use permits (table 13), with 796 in South Dakota and 12 in Wyoming.

Table 13.    

The total number of active permits and active appropriated annual volume by aquifer for water rights in the study area as of 2022.
Aquifer
(fig. 1)
Number of permits1 Appropriated volume1
(acre-feet)
Crystalline 182 14,788
Deadwood 35 3,203
Madison2 165 72,000
Minnelusa 191 31,285
Minnekahta 31 3,826
Inyan Kara 112 12,074
Sundance 5 185
Alluvial 70 33,833
Other3 17 5,584
Total 808 176,777
Table 13.    The total number of active permits and active appropriated annual volume by aquifer for water rights in the study area as of 2022.
1

Includes future use permits and values are rounded to the nearest whole number.

2

Appropriated volume specified separately for the Madison and Minnelusa aquifers for permit 1709-1. The permit was counted with the Minnelusa aquifer because the permit specified more appropriated volume for the Minnelusa aquifer than the Madison aquifer.

3

Includes minor aquifers within the Opeche Shale, Spearfish Formation, Unkpapa Sandstone, Newcastle Sandstone, and Pierre Shale.

Permits from SDDANR and WYSEO databases contain diversion rates (maximum pumping rate), and, if specified, the maximum annual diversion volume. The diversion rate, typically given in cubic feet per second or gallons per minute, was used to calculate the maximum annual diversion volume for permits with unspecified annual diversion volumes by converting the given rate into an annual volume. For example, the maximum annual diversion volume of a water right with a maximum diversion rate of 1.0 ft3/s would equal about 724 acre-ft of water annually. The maximum annual diversion volume was summed for each aquifer in each subarea to obtain the total amount of appropriated water by aquifer in each subarea.

The SDDANR and WYSEO permit data provide the type(s) of water use (municipal, irrigation, and so forth) for each permit. Types of water-use categories included commercial, domestic, fish and wildlife propagation, geothermal, groundwater remediation, industrial, institutional, irrigation, municipal, recreation, rural water system, suburban housing development, and water distribution system. Some permits had two or more types of water use that were revised to one type to simplify analyses that determined water use by category. The major use was selected by inspecting permit documentation to determine which type of use likely required the greatest annual volume. For example, if a groundwater permit for a year-round cattle operation listed “commercial” and “domestic” as types of water use, then it was assumed the cattle required most of the water use and the water-use type was simplified to “commercial.” In total, 104 of the 808 permits specified more than one type of use and were revised to one use type.

Well Withdrawal Data Collection

Well withdrawal data were obtained from water systems, the SDDANR (Adam Mathiowetz, SDDANR, written commun., 2024), and the WYSEO (WYSEO, 2024b). USGS staff contacted operators of water systems in the Black Hills area inquiring about obtaining withdrawal records spanning as far back as possible. Most system operators provided either monthly or annual withdrawal data for the last 5 to 10 years; however, some water users provided withdrawal records into the 1980s and 1990s. The most complete withdrawal record was provided by Rapid City, the largest city and greatest water user in the Black Hills, which provided annual consumption back to 1950. The SDDANR provided annual well withdrawal data from 2003 to 2022 for nonirrigation purposes from certain water systems and individual users (Adam Mathiowetz, SDDANR, written commun., 2024). Additionally, the SDDANR provided annual well withdrawal data from 1994 to 2022 for irrigation purposes (Nakaila Steen, SDDANR, written commun., 2024). Well withdrawal data for water users in Wyoming were downloaded from WYSEO Water Usage Data Across Wyoming database (WYSEO, 2024b). The timeframe for well withdrawal data collected for Wyoming was from 2016 to 2022. All available annual well withdrawal data are provided in the data release accompanying this report (Medler and others, 2025).

Methods for Creating the Well Withdrawal Dataset for 2003–22

The well withdrawal dataset for 2003–22 was generated using annual well withdrawal data and by synthesizing annual well withdrawals for permits. Annual well withdrawal data provided by water systems, SDDANR, and WYSEO were applied to their respective permits to inventory how many permits would require synthetic data and to help calculate a multiplier that will be discussed later in this section. The year of the priority date—the date an application was filed—provided in each permit was used to determine the starting year each permit became active regardless of the month and day. In total, partial or complete well withdrawal records were provided for 298 of 808 permits (about 37 percent; table 14). Permits with partial well withdrawal records accounted for 35 of those 298 permits and the years with missing data were estimated as the mean annual well withdrawals only if 3 or more years of data were available. Synthetic annual well withdrawal data were generated for the remaining 510 permits using three methods. The well withdrawal dataset, including both data collected from users or State agencies and synthetic data for 2003–22, is provided in the data release accompanying this report (Medler and others, 2025).

Table 14.    

Summary of the methods used to construct the well withdrawal dataset for 2003–22 for subareas 1–9 from Carter and others (2001b).
Subarea Number of permits Percent of total
Partial or complete records Inactive
(zero well withdrawals)3
Extrapolated values4 Multiplier5 Total by subarea Percent of partial or complete records6 Percent of synthetic records7
Partial1 Complete2
1 13 66 9 9 70 167 53 47
2 5 42 4 11 60 122 42 58
3 2 21 1 8 52 84 29 71
4 4 65 16 32 124 241 35 65
5 4 27 1 2 35 69 46 54
6 3 9 8 0 27 47 43 57
7 0 8 0 1 10 19 42 58
8 1 25 3 5 20 54 54 46
9 3 0 0 0 2 5 60 40
Total 35 263 42 68 400 808 -- --
Table 14.    Summary of the methods used to construct the well withdrawal dataset for 2003–22 for subareas 1–9 from Carter and others (2001b).
1

Missing data for partial records were synthesized by replacing missing values with the mean annual use only if three of more years of data were available.

2

Complete well withdrawal records with no synthetic data.

3

Water permits or well withdrawal records indicated the well either has not yet been drilled or used during 2003–2022.

4

Well withdrawal values were extrapolated to annual well withdrawal estimates using daily withdrawal estimates provided in drinking water quality records from the South Dakota Department of Agriculture and Natural Resources (2024b).

5

A multiplier of 0.5 was multiplied by the maximum annual appropriated volume of each permit. The value of 0.50 was the mean ratio of mean annual well withdrawals for 2003–2022 to the maximum appropriated volume for 44 permits within the study area.

6

Sum of partial or complete records and inactive records in each subarea divided by the total permits in each subarea.

7

Sum of permits with extrapolated values and permits for which the multiplier was used in each subarea divided by the total permits of each subarea.

The first method involved inspecting water permit documentation (SDDANR, 2024a) and well withdrawal records from SDDANR (Adam Mathiowetz, SDDANR, written commun., 2024) to determine if permits were actively diverting water. Annual well withdrawals for 2003–22 were excluded for permits meeting specified criteria. The criteria included (1) a type of “future use,” (2) standby wells only used for emergency purposes, (3) permits that added an additional diversion point but no increase of the diversion rate or volume, and (4) permits with well withdrawals that were combined with or indistinguishable from other permits. Future use permits were excluded because the permits do not become consumptive until the permittee receives approval from the SDDANR. Standby wells used for emergency purposes were excluded because annual well withdrawals for 2003–22 averaged to nearly zero for water systems that provided well withdrawal data for standby wells. Permits for adding an additional point of diversion or changing a point of diversion were excluded only if the diversion rate or volume of the original permit did not change. Well withdrawal data provided by some water users and the SDDANR grouped well withdrawals from multiple permits into a single permit. In these instances, the well withdrawals were either assigned to the permit with the greatest diversion rate or volume if the aquifer for all grouped permits was the same; otherwise, if the aquifer was different among the permit, then the well withdrawals were divided evenly among each permit. In total, 42 of the 510 permits (about 8 percent) met the criteria for exclusion (table 14).

The second method involved estimating mean annual well withdrawals for public water systems from mean daily well withdrawal rates provided in drinking water quality reports (SDDANR, 2024b). Mean daily well withdrawal rates in drinking water quality reports were calculated by the SDDANR using annual well withdrawal totals provided by the water system (Mark McIntire, SDDANR, written commun., 2024). The mean annual well withdrawal estimated from daily rates was applied to each year from 2003 to 2022. The year of the priority date in each permit was used to determine the length of the annual well withdrawal record for each permit. In total, synthetic well withdrawal data were generated for 68 of 510 permits (about 13 percent) using the mean daily rate from drinking water quality reports (table 14).

The third method was applied to permits for water users not required to report well withdrawal data to the SDDANR or to publish drinking water quality reports. The third method involved multiplying the maximum annual diversion volume either specified in permits or calculated using maximum diversion rates by a multiplier. The SDDANR uses a multiplier of 0.6 (60 percent) to estimate well withdrawals for permits not required to report withdrawals as part of the approval process for new permits (Adam Mathiowetz, SDDANR, written commun., 2024). However, a new multiplier of 0.5 was calculated using annual well withdrawal data and maximum annual appropriated volumes for selected water permits. Permits were selected if they were within the study area and had at least 3 years of annual well withdrawal data. In total, 44 permits met the specified criteria. The multiplier was calculated by dividing the mean annual withdrawal of each permit from 2003 to 2022 by the maximum appropriated annual volume specified by each permit. The water use type of permits used in calculating the new multiplier included 15 commercial, 10 municipal, 6 suburban housing development, 6 water distribution system, 5 rural water system, 1 domestic, and 1 industrial. It is possible the new multiplier may not accurately calculate the fraction of actual well withdrawals by permitted volume for certain water use type categories that were underrepresented in calculations. In total, synthetic well withdrawal data were generated for 400 of the 510 permits (about 78 percent) using the multiplier of 0.5 (table 14).

Artesian Springflow and Annual Well Withdrawals

Artesian springflow and annual well withdrawals were estimated for the study area and for subareas 1–9. Summary statistics were not calculated for artesian springflow because the period of record was inconsistent between sites (table 12). Summary statistics were calculated for annual well withdrawals by subarea and aquifer. Statistical calculations included values of zero annual well withdrawals and synthetic withdrawal estimates. Zero values were included in statistical calculations because they represent true well withdrawals. Synthetic withdrawal estimates were included to provide the best estimate possible; however, statistical estimates of annual withdrawals may not represent the true withdrawals.

Total mean annual artesian springflow in the study area was estimated as 229 ft3/s (or 166,100 acre-ft) for the Madison and Minnelusa aquifers (table 12). Artesian springflow ranged from 0.5 ft3/s (360 acre-ft) along Boxelder Creek to 103.6 ft3/s (75,000 acre-ft) along the Redwater River (table 12). Artesian springflow and well withdrawals estimated for this study were compared to results from Carter and others (2001b) and Driscoll and Carter (2001). Artesian springflow estimated in this study (166,100 acre-ft) was about 21 and 36 percent greater than mean annual artesian springflow estimated by Carter and others (2001b; 136,800 acre-ft) and Driscoll and Carter (2001; 122,400 acre-ft), respectively. Greater artesian springflow was expected because the precipitation totals were relatively high for the 23 years of additional data added for 1999–2022. Additionally, estimates of artesian springflow for this study likely were biased to wetter conditions because calculations generally included years with relatively high precipitation from the 1970s to 2022 and did not capture the drier conditions from the 1930s to the 1960s. Therefore, artesian springflow may be overestimated compared to other budget components.

Artesian springflow also was estimated for each subarea. Artesian springflow was observed in all subareas except subarea 2 (Sturgis area; table 12). For subareas containing artesian springs, springflow ranged from 6.1 ft3/s in subarea 3 (Piedmont area) to 114.5 ft3/s in subarea 1 (Spearfish area; table 12). Mean annual artesian springflow was highest in subareas 1, 4, and 8 (table 12) where large artesian springs, such as those along Spearfish Creek and Redwater River (subarea 1; Spearfish area), Jackson and Cleghorn Springs (subarea 4; Rapid City area), and Cascade Springs (subarea 8; Hot Springs area), contribute to streamflow in the study area’s largest perennial streams (Spearfish Creek, Redwater River, Rapid Creek, and Fall River). Mean annual artesian springflow was lowest in subareas 3, 5 (Hermosa area), and 7 (Wind Cave area) where springs contribute to relatively small streams (Elk Creek, Battle Creek, and Beaver Creek).

Total annual well withdrawals (sum of well withdrawals for all aquifers) varied annually but no long-term patterns were observed (fig. 12). Mean total annual well withdrawals for 2003–22 in the study area were about 50,000 acre-ft, which was about 33 percent higher than groundwater-withdrawal estimates from 1995 and 2000 (Amundson, 1998, 2002) during the BHHS. Annual well withdrawal estimates ranged from about 45,100 acre-ft in 2019 to about 52,800 acre-ft in 2017 (fig. 12; table 15). Variability of the total annual well withdrawals was attributed to climate conditions, which were evaluated by determining annual precipitation totals for climate stations in the study area (National Oceanic and Atmospheric Administration, 2024; fig. 12). Total annual well withdrawals generally increased during dry conditions (below normal precipitation) and decreased during wet conditions (above normal precipitation; fig. 12). For example, the lowest annual well withdrawals occurred during 2019, which was the wettest year on record (National Oceanic and Atmospheric Administration, 2024). Conversely, the greatest annual well withdrawals occurred during periods of below normal precipitation from 2003 to 2005 and 2016 to 2017 (fig. 12). Other than annual variations from precipitation variations, no long-term patterns corresponding to population increases were observed (fig. 12) despite the study area population increasing by about 39 percent from 2000 to 2022 (table 1).

Mean annual well withdrawals for the crystalline core, Deadwood, Madison, Minnelusa,
                           Minnekahta, Sundance, Inyan Kara, “other”, and alluvial aquifers in the Black Hills
                           region of South Dakota and Wyoming. Other aquifers include minor aquifers in the Opeche,
                           Spearfish, Unkpapa, Newcastle, and Pierre Formations. Mean annual total well withdrawals
                           ranged from about 45,000 acre-feet to about 52,800 acre-feet. Mean annual well withdrawals
                           were greatest, in descending order, for the Madison, alluvial, and Minnelusa aquifers.
                           Mean annual well withdrawals for all other aquifers were at or less than 5,000 acre-feet
                           per year.
Figure 12.

Total annual well withdrawals and annual well withdrawals for each aquifer for 2003–22.

Table 15.    

Summary statistics of total annual well withdrawals for each aquifer for 2003–22.
Aquifer Mean Standard deviation Minimum 25th percentile Median 75th percentile Maximum
Crystalline 4,949 151 4,621 4,902 4,944 5,071 5,153
Deadwood 1,311 59 1,230 1,254 1,305 1,340 1,444
Madison 16,534 2,292 12,139 14,720 16,651 18,289 20,047
Minnelusa 9,137 984 7,188 8,515 8,940 9,865 10,618
Minnekahta 1,268 63 1,136 1,230 1,280 1,308 1,384
Sundance 68 0 68 68 68 68 68
Inyan Kara 3,137 87 2,983 3,100 3,139 3,187 3,301
Other1 2,462 115 2,265 2,386 2,457 2,518 2,737
Alluvial 11,184 2,701 7,644 7,960 12,646 12,970 15,232
Total 49,982 2,124 45,128 48,389 50,137 51,620 52,837
Table 15.    Summary statistics of total annual well withdrawals for each aquifer for 2003–22.
1

Includes minor aquifers within the Opeche Shale, Spearfish Formation, Unkpapa Sandstone, Newcastle Sandstone, and Pierre Shale.

Annual well withdrawal variations and mean annual withdrawals were greatest for the Madison, Minnelusa, and alluvial aquifers (fig. 12; table 15). Annual withdrawal variations for the Madison and Minnelusa aquifers generally correlated with total annual withdrawals and annual climate variations except for a period of abnormally high withdrawals from the Madison aquifer from 2006 to 2012 (fig. 12). This period coincided with abnormally low withdrawals from alluvial aquifers (fig. 12). Water system operators for Rapid City, S. Dak., were performing maintenance on their system that withdraws water from an alluvial aquifer and were supplementing by withdrawing water from wells completed in the Madison aquifer (City of Rapid City, written commun., 2024). Other than 2006 to 2012, annual well withdrawals were relatively consistent for alluvial aquifers (fig. 12).

Mean annual withdrawals for the Madison and Minnelusa aquifers for 2003–22 were 16,500 and 9,100 acre-ft, respectively (table 15). Combined mean annual well withdrawals for the Madison and Minnelusa aquifers (25,600 acre-ft) accounted for 51 percent of the total mean annual withdrawals for aquifers in table 15. Carter and others (2001b) and Driscoll and Carter (2001) estimated well withdrawals totaling about 20,300 acre-feet per year from the Madison and Minnelusa aquifers, which was 5,300 acre-ft (or about 26 percent) less than estimates provided in this study (table 15). Mean annual withdrawals for alluvial aquifers were 11,200 acre-ft between 2003 and 2022 (table 15). Well withdrawals for alluvial aquifers were not previously estimated by the BHHS and, therefore, were not comparable to previous estimates.

Annual well withdrawals for the crystalline core, Deadwood, Minnekahta, Sundance, Inyan Kara, and “other” aquifers were relatively consistent from 2003 to 2022 (fig. 12). Withdrawals for these aquifers did not correlate with precipitation patterns or population increases in the study area because synthetic well withdrawal data were generated for more than one-half of the permits used to estimate well withdrawals. Mean annual well withdrawals for each of these aquifers were less than 5,000 acre-ft each (table 15). Well withdrawals in this study were 1.4, 1.3, 1.8, and 2.2 greater than withdrawals in Driscoll and Carter (2001) for the crystalline core, Deadwood, Minnekahta, and Inyan Kara aquifers, respectively. Withdrawals for the Sundance aquifer were 10.6 times smaller in this study than in Driscoll and Carter (2001).

Annual well withdrawal statistics also were computed for each aquifer in subareas 1–9 (table 16). Mean annual well withdrawals in subareas 1–9 ranged from about 600 acre-ft in subarea 9 (Jewel Cave area) to about 19,900 acre-ft in subarea 4 (Rapid City area; table 16). Generally, subareas 1–4, located in the northern and northeastern parts of the Black Hills, had the highest well withdrawals, whereas subareas 5–9 in the southern and southeastern Black Hills had the lowest well withdrawals. Mean annual well withdrawals were greatest in subareas 1 (Spearfish area) and 4 (Rapid City area), which corresponds with the relatively large population in both subareas (table 1). In contrast, rural subareas with smaller populations, such as subareas 6 (Custer area) and 9 (Jewel Cave area; table 1) reported the least annual well withdrawals.

The amount of water withdrawn from each aquifer varied by subarea but generally was highest for the crystalline core, Madison, Minnelusa, and alluvial aquifers (table 16). The crystalline core aquifer was most used in subareas 2 (Sturgis area) and 4 (Rapid City area), with mean annual withdrawals of about 900 and 2,000 acre-ft, respectively. The crystalline core aquifer contributed to about 53 and nearly 100 percent of the total withdrawals of all aquifers in subareas 5 (Keystone area) and 6 (Custer area; table 16). The Madison and Minnelusa aquifers were the most used in subarea 4, with mean annual withdrawals of about 8,100 acre-ft and 3,900 acre-ft, respectively (table 16). Well withdrawals also were relatively high for the Madison and Minnelusa aquifers in subarea 1, with mean withdrawals of about 5,200 and 3,000 acre-ft, respectively (table 16). Alluvial aquifers were most used in subareas 4 and 7 (Buffalo Gap area) with mean withdrawals of 4,400 and 4,000 acre-ft, respectively.

Table 16.    

Summary statistics for annual well withdrawals by subarea and aquifer for 2003–22.
Subarea Aquifer Summary statistic (acre-feet)
Mean Standard deviation Minimum 25th percentile Median 75th percentile Maximum Subarea total mean annual well withdrawals
1 Crystalline 239 0 239 239 239 239 239 14,549
Deadwood 497 21 484 484 484 515 540
Madison 5,240 334 4,641 5,022 5,265 5,483 5,770
Minnelusa 3,043 666 1,771 2,675 2,920 3,702 4,275
Minnekahta 965 61 843 938 975 993 1,091
Sundance 10 0 10 10 10 10 10
Inyan Kara 854 9 848 848 852 856 887
Other1 2,226 127 2,065 2,134 2,217 2,279 2,538
Alluvial 1,475 58 1,373 1,459 1,466 1,482 1,642
2 Crystalline 927 20 887 921 931 940 965 4,157
Deadwood 84 17 62 73 79 88 138
Madison 1,591 196 1,233 1,462 1,575 1,718 1,996
Minnelusa 796 110 585 714 785 878 953
Minnekahta 16 1 14 14 17 17 17
Sundance 58 0 58 58 58 58 58
Inyan Kara 518 34 456 500 513 529 592
Other1 29 0 29 29 29 29 29
Alluvial 138 13 132 133 133 138 191
3 Madison 192 74 126 147 161 195 366 2,084
Minnelusa 1,216 53 1,106 1,200 1,206 1,221 1,327
Minnekahta 44 0 44 44 44 44 44
Inyan Kara 383 54 214 384 398 411 447
Other1 115 41 80 80 80 159 159
Alluvial 134 0 134 134 134 134 135
4 Crystalline 1,996 89 1,862 1,938 1,970 2,060 2,200 19,912
Deadwood 681 37 621 645 691 699 769
Madison 8,053 2,164 4,339 6,477 7,538 10,201 11,499
Minnelusa 3,879 352 3,433 3,576 3,831 4,133 4,600
Minnekahta 227 3 223 224 227 229 233
Inyan Kara 647 31 616 625 637 654 718
Other1 22 0 22 22 22 22 22
Alluvial 4,407 2,813 807 819 5,956 6,383 8,258
5 Crystalline 707 24 668 696 710 721 752 1,343
Deadwood 35 0 35 35 35 35 35
Madison 340 56 206 326 358 378 404
Minnelusa 50 9 18 48 50 53 68
Inyan Kara 211 47 178 187 189 209 339
6 Crystalline 877 46 801 854 871 912 960 877
Madison 0 1 0 0 0 0 3
Minnelusa 0 0 0 0 0 0 1
Inyan Kara 0 0 0 0 0 0 0
7 Crystalline 150 7 136 154 154 154 154 4,300
Madison 50 73 9 12 41 53 342
Minnelusa 17 7 11 11 12 21 36
Inyan Kara 69 0 69 69 69 69 69
Alluvial 4,014 35 3,982 3,982 4,012 4,043 4,086
8 Crystalline 52 6 26 53 53 53 54 2,185
Madison 598 173 433 449 495 737 963
Minnelusa 136 24 107 116 131 147 197
Minnekahta 16 11 0 7 12 27 35
Inyan Kara 366 25 354 354 354 370 455
Other1 2 3 0 0 0 2 10
Alluvial 1,015 225 653 830 1,052 1,150 1,375
9 Deadwood 14 0 14 14 14 14 14 572
Madison 468 130 287 301 464 556 715
Inyan Kara 90 0 90 90 90 90 90
Table 16.    Summary statistics for annual well withdrawals by subarea and aquifer for 2003–22.
1

Includes minor aquifers within the Opeche Shale, Spearfish Formation, Unkpapa Sandstone, Newcastle Sandstone, and Pierre Shale.

Storage Considerations

To calculate net groundwater outflow (inflows minus outflows) in equation 2 like Carter and others (2001b), the assumption of a net zero change of storage was needed for the period of investigation from 1931 to 2022. Carter and others (2001b) used hydrographs of the Madison and Minnelusa aquifers and recharge estimates to assume zero storage change for their selected period of investigation from 1987 to 1996. Water-level datasets for hydrographs of the Madison and Minnelusa were not available before the 1960s and generally the datasets were most complete for 1990–2022; therefore, a different technique was needed to simulate water levels before the 1960s. Annual precipitation data for the study area was used to construct a curve representing the cumulative difference between each year’s annual precipitation value and the long-term mean annual precipitation from 1931 to 2022 (departure from mean annual precipitation; fig. 5). This curve can be used as a proxy for water-level changes in aquifers if correlation exists with hydrographs. Storage considerations were evaluated by comparing hydrographs to the cumulative departure from long-term mean annual precipitation curve (hereafter referred to as “cumulative departure curve”). Additionally, the cumulative departure curve was used to identify three time periods when recharge estimates were either decreasing, constant, or increasing that were evaluated to verify comparisons of hydrographs and the cumulative departure curve.

Observation wells used to evaluate correlation between water-level changes and the cumulative departure curve were selected based on several criteria. Observation well data were downloaded from the SDDANR (2024c) observation well database and the USGS NWIS database (USGS, 2024a). Wells were selected only if they were within subareas 1–9 and completed in the Deadwood, Madison, Minnelusa, Minnekahta, and Inyan Kara aquifers. Additionally, water-level records had to be 20 years or greater so that long-term comparisons could be made. In total, 72 observation wells met the selection criteria (table 17). Each observation well had continuous and (or) discrete water-level records with varying periods of record that ranged from 20 to 65 years (table 17). The oldest water-level records were from the 1960s; however, the completeness of water-level records varied by well. The mean annual water level (mean of water levels within a calendar year) was calculated for each observation well to show annual patterns that were compared to annual patterns for the cumulative departure curve.

Table 17.    

Observation wells within the study area selected for analysis with site information, length of the water-level record, and Pearson correlation coefficient.

[NAVD88; North American Vertical Datum of 1988; SDDANR, South Dakota Department of Agriculture and Natural Resources; USGS, U.S. Geological Survey]

Well name or site number Agency Aquifer Latitude (decimal degrees) Longitude (decimal degrees) Elevation (feet above NAVD88) Period of record Correlation coefficient
CU–83A SDDANR Minnelusa 43.838849 −103.266754 3,478.36 1983–84; 1990–2022 0.46
CU–83B SDDANR Inyan Kara 43.829935 −103.238026 3,368.43 1983–85; 1989–2022 −0.18
CU–83C SDDANR Inyan Kara 43.781713 −103.218623 3,507.15 1983–84; 1990–2022 0.31
CU–91A SDDANR Madison 43.520900 −103.421078 3,647.14 1991–2022 0.86
CU–91B SDDANR Minnelusa 43.520850 −103.421038 3,647.00 1991–2022 0.60
CU–93A SDDANR Madison 43.730877 −103.339034 3,860.00 1993–2022 0.26
CU–93B SDDANR Minnelusa 43.730869 −103.339038 3,860.00 1993–2022 0.24
CU–93C SDDANR Madison 43.781386 −104.039946 4,660.00 1994–2008; 2014–22 0.81
CU–93D SDDANR Minnelusa 43.783763 −104.037716 4,660.00 1994–2007; 2014–22 0.13
CU–95A SDDANR Madison 43.588131 −103.895091 4,250.00 1995–2022 0.78
CU–95B SDDANR Minnelusa 43.588133 −103.895094 4,250.00 1995–2022 0.80
CU–96A SDDANR Minnekahta 43.520924 −103.421046 3,640.00 1997–2022 0.50
FR–92A SDDANR Madison 43.447585 −103.642425 4,175.55 1992–2022 0.82
FR–94A SDDANR Minnelusa 43.429354 −103.697793 4,172.00 1995–2022 0.75
FR–95A SDDANR Madison 43.434152 −103.499670 3,730.00 1996–2022 0.76
FR–95B SDDANR Minnelusa 43.434153 −103.499660 3,730.00 1996–2022 0.86
FR–95C SDDANR Inyan Kara 43.298523 −103.392596 3,220.00 1995–2022 0.45
LA–62A SDDANR Minnelusa 44.574649 −103.846960 3,210.00 1962–2015; 2018–22 0.46
LA–63A SDDANR Minnelusa 44.395107 −103.587671 3,880.00 1963; 1969–2022 0.94
LA–86A SDDANR Minnelusa 44.518018 −103.910283 3,676.92 1990–2022 0.90
LA–86B SDDANR Minnekahta 44.518021 −103.910285 3,676.20 1990–2022 0.44
LA–86C SDDANR Minnelusa 44.429055 −103.577191 3,629.31 1990–2022 0.88
LA–87A SDDANR Madison 44.517789 −104.007069 3,669.68 1990–2022 0.73
LA–87B SDDANR Minnelusa 44.517778 −104.007103 3,668.50 1990–2022 0.55
LA–88A SDDANR Minnelusa 44.476353 −103.729516 3,678.00 1990–2022 0.90
LA–88B SDDANR Minnelusa 44.481719 −103.848504 3,725.00 1990–2022 0.81
LA–88C SDDANR Madison 44.481703 −103.848508 3,725.00 1990–2022 0.88
LA–90A SDDANR Madison 44.429052 −103.577190 3,630.00 1990–2022 0.88
LA–90B SDDANR Inyan Kara 44.553044 −103.729622 3,415.00 1991–2022 0.22
LA–94A SDDANR Minnekahta 44.517786 −104.007075 3,666.00 1994–2022 0.57
LA–94B SDDANR Deadwood 44.176096 −103.879654 6,460.00 1995–2022 0.62
LA–95A SDDANR Madison 44.476335 −103.729516 3,780.00 1995–2022 0.82
LA–95B SDDANR Madison 44.299234 −103.912716 6,180.00 1996–2022 0.26
LA–95C SDDANR Madison 44.409624 −103.953039 5,520.00 1995–2022 0.24
LA–96A SDDANR Deadwood 44.299235 −103.912718 6,180.00 1997–2022 0.74
LA–96B SDDANR Madison 44.466631 −103.913848 4,580.00 1997–2009; 2011–17 0.89
LA–96C SDDANR Minnelusa 44.475149 −103.913011 4,580.00 1997–2022 0.48
LA–96D SDDANR Madison 44.383554 −103.615573 4,080.00 1998–2022 0.73
MD–84A SDDANR Minnelusa 44.226481 −103.380910 3,480.00 1984; 1990–2022 0.79
MD–84B SDDANR Minnelusa 44.299947 −103.436731 3,638.00 1984–85; 1990–91; 1996–2009; 2013–22 0.51
MD–86A SDDANR Madison 44.393583 −103.519428 3,606.71 1991–2022 0.73
MD–89A SDDANR Inyan Kara 44.474240 −103.523069 3,265.00 1990–2022 −0.38
MD–90A SDDANR Madison 44.299922 −103.436723 3,630.00 1991; 1995–2010; 2013–22 0.43
MD–94A SDDANR Madison 44.226475 −103.380882 3,480.00 1994–2022 0.42
MD–95A SDDANR Minnekahta 44.299938 −103.436719 3,630.00 1995–2009; 2014–22 0.38
PE–64A SDDANR Minnelusa 44.092862 −103.271643 3,330.00 1990–2022 0.18
PE–64B SDDANR Minnelusa 44.061879 −103.255953 3,300.00 1964; 1966–77; 1990–2022 0.82
PE–65A SDDANR Madison 44.074475 −103.267973 3,300.00 1966–99; 2002–22 −0.25
PE–84A SDDANR Deadwood 44.014890 −103.302898 3,880.00 1984–2022 0.55
PE–84B SDDANR Minnelusa 44.138848 −103.302945 3,500.00 1984–2022 0.56
PE–86A SDDANR Madison 36.656291 −86.060500 3,510.00 1993–2022 0.41
PE–89A SDDANR Madison 44.060942 −103.292905 3,372.90 1990–2022 0.35
PE–89B SDDANR Minnelusa 44.060943 −103.292920 3,372.50 1989–91; 1994–2022 0.71
PE–89C SDDANR Madison 44.095436 −103.301466 3,493.70 1989–2022 0.62
PE–89D SDDANR Minnelusa 44.095446 −103.301469 3,493.94 1989–2003; 2005–11; 2013–22 0.67
PE–91A SDDANR Deadwood 44.107588 −103.976560 6,890.00 1991–2015 0.68
PE–94A SDDANR Minnelusa 43.987487 −103.272406 3,515.00 1994–2022 0.08
PE–95A SDDANR Madison 43.871888 −103.314595 3,928.00 1995–2022 0.48
PE–95B SDDANR Inyan Kara 44.056833 −103.210687 3,225.00 1996–2022 0.92
PE–95C SDDANR Madison 44.136349 −103.372684 4,050.00 1996–2022 0.42
PE–95E SDDANR Inyan Kara 44.129743 −103.211839 3,235.00 1995–2022 −0.13
PE–96A SDDANR Madison 44.052220 −103.313042 3,420.00 1996–2022 0.26
PE–96B SDDANR Deadwood 44.125971 −103.355294 4,050.00 1996–2022 −0.67
PE–96C SDDANR Madison 43.920836 −103.838597 6,696.28 1997–2022 0.38
440149103164901 USGS Minnelusa 44.03026577 −103.2807385 3,676.60 1996–2022 0.87
440326103180702 USGS Madison 44.05720999 −103.3024059 3,389.52 1999–2022 0.86
440430103160202 USGS Madison 44.07422220 −103.26805560 3,352.93 1990–2012; 2014–22 0.92
440544103180001 USGS Minnelusa 44.09544444 −103.30144440 3,493.78 1990–2022 0.92
440544103180002 USGS Madison 44.09544444 −103.30144440 3,493.78 1990–2022 0.92
441759103261201 USGS Minnelusa 44.30002778 −103.43677780 3,638.00 2000–2002; 2004–22 0.89
441759103261202 USGS Madison 44.29991667 −103.43672220 3,639.10 1991–2022 0.92
441759103261203 USGS Minnekahta 44.29997220 −103.43675000 3,639.20 1999–2022 0.86
440427103131701 USGS Madison 44.07405556 −103.22166670 3,397.44 1990–2022 0.92
Table 17.    Observation wells within the study area selected for analysis with site information, length of the water-level record, and Pearson correlation coefficient.

The Pearson correlation coefficient was calculated to evaluate the linear relation between each hydrograph and the cumulative departure curve. Additional information on the Pearson correlation coefficient, including mathematical derivations and descriptions of the method, are summarized in Helsel and others (2020). Correlation coefficients range from −1 (perfect negative correlation) to 1 (perfect positive correlation), where negative values indicate negative correlation, a value equal to 0 indicates no correlation, and positive values indicate positive correlation. Additionally, larger absolute values indicate stronger correlation and smaller absolute values indicate weaker correlation. Correlation was considered weak if correlation coefficients were less than 0.4 and moderate to strong if correlation coefficients were greater than or equal to 0.4. The mean correlation coefficient was greater than zero for all aquifers and ranged from 0.38 for the Deadwood aquifer to 0.64 for the Minnelusa aquifer (table 18). Correlation was moderate to strong for the Madison, Minnelusa, and Minnekahta aquifers and weak for the Deadwood and Inyan Kara aquifers (table 18).

Table 18.    

Summary statistics of Pearson correlation coefficient calculations for the Deadwood, Madison, Minnelusa, Minnekahta, and Inyan Kara aquifers.
Aquifer Number of wells Summary statistic, unitless Pearson correlation coefficient Wells with negative correlation coefficients Wells with weak correlation (coefficients less than 0.4)
Mean Standard deviation Minimum 25th percentile Median 75th percentile Maximum
Deadwood 5 0.38 0.59 −0.67 0.55 0.62 0.68 0.74 1 0
Madison 29 0.61 0.29 −0.25 0.41 0.73 0.86 0.92 1 6
Minnelusa 26 0.64 0.26 0.08 0.49 0.73 0.86 0.94 0 4
Minnekahta 5 0.55 0.19 0.38 0.44 0.50 0.57 0.86 0 1
Inyan Kara 7 0.17 0.44 −0.38 −0.15 0.22 0.38 0.92 3 2
Table 18.    Summary statistics of Pearson correlation coefficient calculations for the Deadwood, Madison, Minnelusa, Minnekahta, and Inyan Kara aquifers.

Hydrographs displaying the best correlation with the cumulative departure curve were selected for each aquifer to discuss general patterns for various timescales (fig. 13). Water-level records for most wells were most complete for 1990–2022 when water levels in all aquifers generally increased because of above normal precipitation. Similar patterns were observed for all aquifers—water levels increased during the 1990s, decreased during the early 2000s, and increased during the 2010s and 2020s (fig. 13). These patterns resembled the cumulative departure curve, which was expected because of the strong correlation coefficients (fig. 13). Some wells, such as LA–63A for the Minnelusa aquifer, had water-level records back to the 1960s, which were useful for determining patterns before 1990. Between 1969 and 1990 water levels at well LA–63A followed patterns of increasing and decreasing precipitation values from the cumulative departure curve (fig. 13C).

Water-level data for observation wells completed in the Deadwood, Madison, Minnelusa,
                        Minnekahta, and Inyan Kara aquifers compared to the cumulative departure from long-term
                        mean annual precipitation curve (departure curve; figure 5C). Water-level data for
                        each of the graphs shown correlated well with the departure curve, which indicated
                        storage in each aquifer correlated with the departure curve.
Figure 13.

Hydrographs for observation wells completed in the Deadwood, Madison, Minnelusa, Minnekahta, and Inyan Kara aquifers. A, Deadwood aquifer (observation well PE–84A). B, Madison aquifer (observation well LA–90A). C, Minnelusa aquifer (observation well LA–63A). D, Minnekahta aquifer (observation well CU–96A). E, Inyan Kara aquifer (observation well PE–95B). Observation well data were from the South Dakota Department of Agriculture and Natural Resources (2024c).

Of the 72 total wells evaluated, negative correlation coefficients were observed for 5 wells and weak correlation coefficients (values less than 0.4) were observed for 13 wells (table 18). Negative correlation was observed for wells with decreasing water levels during the 2010s and 2020s when the cumulative departure curve increased. It is possible water-level decreases were caused by nearby pumping wells, which was true for at least one well (PE–65A) completed in Madison aquifer that was within 1 mile of an active pumping well in Rapid City, S. Dak. Hydrographs for wells with weak correlation followed the same general increasing and decreasing patterns as the cumulative departure curve; however, the maximum water level for 11 of the 13 wells was greater in the early 2000s than in 2022, which did not match the cumulative departure curve. It is possible varying recharge mechanisms may be responsible for the discrepancy, such as a greater percentage of recharge coming from streamflow rather than precipitation or greater influences from regional groundwater flow.

Correlation between hydrographs and the cumulative departure curve were verified using combined recharge estimates for 1931–2022 (fig. 13). The cumulative departure curve was used to identify a period of decreasing water levels (decreasing storage) from 1931 to 1964, a period of relatively stable water levels (zero storage change) from 1965 to 1986, and a period of increasing water levels (increasing storage) from 1987 to 2022 (fig. 13). Recharge mechanisms likely have not changed since the 1930s, so it was assumed that recharge estimates for each period were comparable. The period from 1931 to 1964 was considered a deficit for recharge because the cumulative departure curve decreased throughout nearly the entire period (fig. 13). Near zero storage change was considered for the period from 1965 to 1986 when the cumulative departure curve was relatively stable with no long-term increasing or decreasing precipitation patterns. A surplus of recharge was observed for the period from 1987 to 2022, which was confirmed by hydrographs (fig. 13).

Combined mean annual recharge was calculated for each period and compared to combined mean annual recharge for 1931–2022. Combined mean annual recharge for 1965–86 was 220,861 acre-ft, which was about 7,890 acre-ft (or 3.5 percent) less than the combined mean annual recharge for 1931–2022 (228,751 acre-ft; table 1.3). The relatively small difference between the combined mean annual recharge for 1931–2022 and combined mean annual recharge for 1965–86 was expected because hydrographs showed that storage change was minimal. The absolute difference between combined mean annual recharge for 1931–2022 and combined mean annual recharge for 1931–64 (171,576 acre-ft) and 1987–2022 (287,571 acre-ft) were approximately equal at about 57,175 (deficit) and 58,820 (surplus) acre-ft, respectively. The combined mean annual recharge values for 1931–64 and 1987–2022 verified that storage change was minimal between 1931 and 2022 because their recharge values were nearly equal in magnitude but opposite in sign (negative for 1931–64 and positive for 1987–2022).

Discussion of Groundwater Budget and Availability

Groundwater budgets and availability are discussed for the Deadwood, Madison, Minnelusa, Minnekahta, Sundance, and Inyan Kara aquifers in subareas 1–9. Budget items for the Madison and Minnelusa aquifers were combined because streamflow recharge could not be differentiated for loss zones in many basins. Groundwater budgets were evaluated by calculating net groundwater flow (inflows minus outflows) for each aquifer in subareas 1–9. Net groundwater flow values are discussed by aquifer and subarea. Water availability is discussed by comparing inflows (recharge) to well withdrawals and total appropriations from water permits and by updating the volume of extractable water in storage for aquifers in the Black Hills region.

Table 19.    

Hydrologic budget including inflows from recharge and outflows from springs and well withdrawals for the Deadwood, Madison and Minnelusa, Minnekahta, Sundance, and Inyan Kara aquifers in subareas 1–9.
Subarea Aquifer Inflows (acre-feet) Outflows (acre-feet) Net groundwater flow (inflows−outflows) (acre-feet)
Precipitation Streamflow Total Artesian springflow Well withdrawals Total
1 Deadwood 2,622 0 2,622 0 497 497 2,125
Madison and Minnelusa 88,645 13,232 101,877 82,822 8,283 91,105 10,772
Minnekahta 12,452 0 12,452 0 965 965 11,487
Sundance 5,321 0 5,321 0 10 10 5,312
Inyan Kara 4,906 0 4,906 0 854 854 4,052
2 Deadwood 1,366 0 1,366 0 84 84 1,282
Madison and Minnelusa 8,303 14,244 22,547 0 2,387 2,387 20,160
Minnekahta 1,243 0 1,243 0 16 16 1,227
Sundance 580 0 580 0 58 58 522
Inyan Kara 2,311 0 2,311 0 518 518 1,793
3 Deadwood 1,276 0 1,276 0 0 0 1,276
Madison and Minnelusa 2,743 6,420 9,163 4,416 1,408 5,824 3,339
Minnekahta 395 0 395 0 44 44 351
Sundance 141 0 141 0 0 0 141
Inyan Kara 1,262 0 1,262 0 383 383 879
4 Deadwood 999 0 999 0 681 681 318
Madison and Minnelusa 5,069 23,825 28,894 21,357 11,932 33,289 −4,395
Minnekahta 569 0 569 0 227 227 342
Sundance 211 0 211 0 23 23 188
Inyan Kara 592 0 592 0 647 647 −55
5 Deadwood 293 0 293 0 35 35 258
Madison and Minnelusa 1,807 7,044 8,851 5,937 390 6,327 2,524
Minnekahta 227 0 227 0 0 0 227
Sundance 169 0 169 0 0 0 169
Inyan Kara 739 0 739 0 211 211 528
6 Deadwood 68 0 68 0 0 0 68
Madison and Minnelusa 527 5,056 5,583 0 0 0 5,583
Minnekahta 71 0 71 0 0 0 71
Sundance 92 0 92 0 0 0 92
Inyan Kara 407 0 407 0 0 0 407
7 Deadwood 66 0 66 0 0 0 66
Madison and Minnelusa 702 1,736 2,438 7,167 67 7,234 −4,797
Minnekahta 202 0 202 0 0 0 202
Sundance 73 0 73 0 0 0 73
Inyan Kara 456 0 456 0 69 69 387
8 Deadwood 157 0 157 0 0 0 157
Madison and Minnelusa 3,945 2,228 6,173 34,823 734 35,557 −29,384
Minnekahta 827 0 827 0 16 16 811
Sundance 355 0 355 0 0 0 355
Inyan Kara 2,642 0 2,642 0 366 366 2,276
9 Deadwood 11 0 11 0 14 14 −3
Madison and Minnelusa 43,324 0 43,324 9,556 468 10,024 33,299
Minnekahta 5,480 0 5,480 0 0 0 5,480
Sundance 410 0 410 0 0 0 410
Inyan Kara 1,090 0 1,090 0 90 90 1,000
Total for study area Deadwood 6,858 0 6,858 0 1,311 1,311 5,547
Madison and Minnelusa 155,064 73,785 228,849 166,078 25,669 191,747 37,102
Minnekahta 21,466 0 21,466 0 1,268 1,268 20,198
Sundance 7,353 0 7,353 0 90 90 7,263
Inyan Kara 14,406 0 14,406 0 3,138 3,138 11,268
Table 19.    Hydrologic budget including inflows from recharge and outflows from springs and well withdrawals for the Deadwood, Madison and Minnelusa, Minnekahta, Sundance, and Inyan Kara aquifers in subareas 1–9.

Mean values were used for inflows and outflows in the groundwater budget to calculate net groundwater flow. The time span from which mean values were calculated varied by budget item. Mean values were chosen so that budget estimates were as unbiased as possible to wet or dry periods that may skew long-term mean values. Mean precipitation and streamflow recharge were calculated for 1931–2022 using recharge estimates in table 19. The period of available data used for calculating artesian springflow varied by spring (table 12) but generally was from wetter periods from the 1970s to the 2020s. Therefore, the artesian springflow estimates provided in the groundwater budget (table 19) may be more biased toward wetter periods than other budget items. Mean well withdrawals were calculated for the shortest period (2003–22) but were considered adequate because the purpose of this study was to compare long-term budgets to modern well withdrawals. Mean values used for budget items were considered adequate representations of the long-term mean because storage change was estimated to be near zero with the study area experiencing both wet and dry periods.

Groundwater Budgets

Net groundwater flow was calculated using equation 2 for each aquifer in subareas 1–9 based on the assumption of zero storage change for aquifers in the study area (table 19). Net groundwater flow included inflows and outflows from regional groundwater in and out of subarea boundaries and for leakage between adjacent aquifers occurring within subareas. Vertical leakage to and from adjacent aquifers could not be distinguished from groundwater inflow or outflows. Driscoll and Carter (2001) considered vertical leakage a relatively small component of the budget and, therefore, included it with net groundwater flow. Aquifers with positive net groundwater flow values (inflows greater than outflows) likely had a surplus of groundwater that contributed to regional groundwater flow out of a subarea. Aquifers with negative net groundwater flow values (outflows greater than inflows) likely had a deficit of groundwater and relied on inflows from regional groundwater flow to account for the deficit. Carter and others (2001b) used potentiometric contours of the Madison and Minnelusa aquifers to determine the direction of regional groundwater flow in and out of subareas. Potentiometric contours for the study area were available only for the Madison and Minnelusa aquifers, and, therefore, are not discussed for other aquifers.

Net groundwater flow was positive for most aquifers in subareas 1–9 with exceptions for the Madison and Minnelusa aquifers in subareas 4, 7, and 8 and for the Deadwood and Inyan Kara aquifers in subareas 9 and 4 respectively (table 19). Negative net groundwater flow for the Madison and Minnelusa aquifers in subareas 7 and 8 can be accounted for by inflows from regional groundwater flow across subarea boundaries and from outside the study area. Based on generalized potentiometric contours of the Madison and Minnelusa aquifers from Carter and others (2001b; figs. 14 and 15), subarea 8 receives regional groundwater flow from subarea 9 and from outside the study area, which then flows into subarea 7. The groundwater deficit for the Madison and Minnelusa aquifers in subarea 8 (about −29,400 acre-ft; table 19) was accounted for by the surplus in subarea 9 (about 33,300 acre-ft); however, it is possible subarea 8 also receives additional inflows from regional groundwater flow of the Madison and Minnelusa aquifers that is recharged outside of the study area. The Madison and Minnelusa aquifers in subarea 7 also had a groundwater deficit (−4,800 acre-ft) but likely received inflows from subareas 6 and 8 based on potentiometric contours of the Madison and Minnelusa aquifers (figs. 14 and 15; table 19). The combined surplus of groundwater for the Madison and Minnelusa aquifers in subareas 6 (5,600 acre-ft) and 8 after receiving inflows from subarea 9 (3,900 acre-ft; totaling 9,500 acre-ft; table 19) accounted for the groundwater deficit in subarea 7 (about −4,800 acre-ft) and likely contributed to regional groundwater flow east of the study area. Negative net groundwater flow in subarea 9 was −3 acre-ft, which was within the margin of error for estimates of inflows and outflows and, therefore, may not actually be negative.

Potentiometric contours of the Madison aquifer in the Black Hills region of South
                        Dakota and Wyoming. Groundwater flow direction for the Madison aquifer varies for
                        subareas 1 through 9. In subarea 1 (Spearfish area), groundwater flows northwest in
                        the western part of the subarea before turning back to the east in the north and eastern
                        parts of the subarea. In subareas 2 through 7 (eastern flank of the Black Hills),
                        groundwater flow direction is to the east. Groundwater in subarea 9 (Jewel Cave area)
                        flows to the southwest before turning back to the east and flowing into subarea 8.
                        Groundwater in subarea 8 (Hot Springs area) flows to the east.
Figure 14.

Generalized potentiometric contours of the Madison aquifer in the study area from Strobel and others (2000a) and modified by Carter and others (2001b).

Potentiometric contours of the Minnelusa aquifer in the Black Hills region of South
                        Dakota and Wyoming. Groundwater flow direction of the Minnelusa aquifer closely resembles
                        that of the Madison aquifer. In subarea 1 (Spearfish area), groundwater flows northwest
                        in the western part of the subarea before turning back to the east in the north and
                        eastern parts of the subarea. In subareas 2 through 7 (eastern flank of the Black
                        Hills), groundwater flow direction is to the east. Groundwater in subarea 9 (Jewel
                        Cave area) flows to the southwest before turning back to the east and flowing into
                        subarea 8. Groundwater in subarea 8 (Hot Springs area) flows to the east.
Figure 15.

Generalized potentiometric contours of the Minnelusa aquifer in the study area from Strobel and others (2000b) and modified by Carter and others (2001b).

In subarea 4, the net groundwater flow for the Madison and Minnelusa aquifers was negative (about −4,400 acre-ft; table 19). Based on potentiometric contours of the Madison and Minnelusa aquifers (figs. 14 and 15), relatively large inflows from other subareas and (or) regional groundwater flow were unlikely; however, potentiometric contours are generalized and may not accurately represent localized flow across subarea boundaries. It is also possible that leakage from adjacent aquifers, such as the Deadwood aquifer, may contribute water that was not accounted for in the hydrologic budget. Aquifer exchange is difficult to quantify and, therefore, was included in net groundwater flow. Budget uncertainty also may be a factor when considering net groundwater flow because outflows (artesian springflow and well withdrawals) could be overestimated, or inflows (recharge from precipitation and streamflow losses) could be underestimated. It is likely that one or more of the possible explanations discussed contribute to the negative net groundwater flow calculated for subarea 4 (table 19).

Hydrographs for wells completed in the Madison and Minnelusa aquifers in subarea 4 were evaluated to determine if storage in both aquifers was decreasing near Rapid City, S. Dak., because it was the largest water user in subarea 4 and, on average, accounted for about 49 percent of the mean annual well withdrawals from the Madison and Minnelusa aquifers. In total, five wells completed in the Madison or Minnelusa aquifers near Rapid City, S. Dak., with greater than 20 years of water-level data were evaluated (fig. 16). Hydrographs for observation wells near or downgradient of pumping wells in Rapid City, S. Dak., generally show similar annual water-level increases and decreases as other wells in the study area that correlate with precipitation patterns (fig. 13); however, water levels in 2022 were similar or lower than water levels in the late 1990s for wells near and downgradient of pumping wells (fig. 16). Water levels were greater in 2022 than in the late 1990s for most observation wells away from pumping, which correlated with the cumulative departure curve for precipitation (fig. 13). Well withdrawals at pumping wells may be responsible for water-level discrepancies and it is possible that pumping may have reduced the amount of water added to storage in the Madison aquifer in subarea 4. Additional observation wells downgradient of pumping wells in subarea 4 could help further determine the influence of pumping wells on the aquifers, such as the Madison aquifer.

Water-level data for observation wells completed in the Madison and Minnelusa aquifers
                        near active pumping wells. Water-level data were compared to the cumulative departure
                        from long-term mean annual precipitation curve (departure curve; figure 5C) to show
                        differences caused by pumping signals. Water-level data for each of the graphs shown
                        mostly correlated well with the departure curve; however, the strength of the correlation
                        was weaker than for wells not affected by pumping.
Figure 16.

Hydrographs of wells completed in the Madison and Minnelusa aquifers near Rapid City, South Dakota (shown in figs. 14 and 15). A, Madison aquifer (observation well PE–89A). B, Madison aquifer (observation well 440430103160202). C, Madison aquifer (observation well 440427103131701). D, Minnelusa aquifer (observation well PE–64A). E, Minnelusa aquifer (observation well PE–64B).

Groundwater Availability

Groundwater availability in the study area is affected by many factors and varies spatially. Aquifer-related factors affecting groundwater availability include location, local recharge, groundwater flow conditions, historical well withdrawals, and structural features (Carter and others, 2003). Other factors affecting groundwater availability are the laws governing entities use to issue water rights or manage aquifers and the water quality of groundwater resources. Previous sections of this report discussed aquifer-related factors affecting groundwater availability, but not State laws or groundwater quality. Therefore, discussions of groundwater availability in this section are focused on relevant State laws and groundwater quality. Carter and others (2003) provide a detailed summary of groundwater availability in the Black Hills area of South Dakota and some parts of their analysis are either used or updated in this section.

Water availability for aquifers in the study area was evaluated for subareas 1–9 by comparing estimated mean annual recharge to estimated mean annual well withdrawals. According to South Dakota State Codified Law 46–6–3.1 (South Dakota State Legislature, 2024b), applications to appropriate groundwater cannot be approved if the proposed quantity of water withdrawn annually would exceed the quantity of estimated mean annual recharge to an aquifer; however, applications can be approved for instances where appropriations exceed mean annual recharge for withdrawals from formations older than or stratigraphically lower than the Cretaceous Greenhorn Formation for water distribution systems, such as municipalities or rural water systems. The State codified law does not divide mean annual recharge into the subareas used in this report, so water availability estimates (“Total annual appropriations as a percentage of mean annual recharge” in table 20) do not indicate compliance or noncompliance with codified laws. Annual appropriations generally are greater than actual well withdrawals because most water users do not use the total annual amount appropriated by permits. Total annual appropriations (excluding appropriations for future use) and mean and maximum annual well withdrawals for 2003–22 are included in table 20 for comparison with mean annual recharge for 1931–2022 for each aquifer in subareas 1–9. It should be noted that artesian springflow was the greatest outflow component for Madison and Minnelusa aquifers but was not included as an outflow in table 20.

Table 20.    

Total mean annual recharge (table 11), mean annual well withdrawals (table 15), maximum annual well withdrawals (table 15), and total annual appropriations (as of 2022) for aquifers in subareas 1–9.
Subarea Aquifer Total mean annual recharge,
in acre-ft (1931–2022)1
Mean annual well withdrawals,
in acre-ft
(2003–22; table 16)
Maximum annual well withdrawals, in acre-ft (year varies; table 16) Total annual appropriated volume as of 2022, in acre-ft2 Total annual appropriations as a percentage of mean annual recharge3
1 Deadwood 2,622 497 540 1,014 38.7
Madison and Minnelusa 101,877 8,283 10,045 34,536 33.9
Minnekahta 12,452 965 1,091 3,219 25.9
Sundance 5,321 10 10 69 1.3
Inyan Kara 4,906 854 887 2,862 58.3
2 Deadwood 1,366 84 138 263 19.2
Madison and Minnelusa 22,547 2,387 2,949 9,298 41.2
Minnekahta 1,243 16 17 34 2.7
Sundance 580 58 58 116 20.0
Inyan Kara 2,311 518 592 1,869 80.9
3 Deadwood 1,276 0 0 0 0.0
Madison and Minnelusa 9,163 1,408 1,693 5,722 62.4
Minnekahta 395 44 44 88 22.3
Sundance 141 0 0 0 0.0
Inyan Kara 1,262 383 447 1,473 116.7
4 Deadwood 999 681 769 1,826 182.8
Madison and Minnelusa 28,894 11,932 16,099 32,480 112.4
Minnekahta 569 227 233 470 82.6
Sundance 211 0 0 0 0.0
Inyan Kara 592 647 718 2,828 477.5
5 Deadwood 293 35 35 71 24.2
Madison and Minnelusa 8,851 390 472 1,465 16.6
Minnekahta 227 0 0 0 0.0
Sundance 169 0 0 0 0.0
Inyan Kara 739 211 339 1,533 207.3
6 Deadwood 68 0 0 0 0.0
Madison and Minnelusa 5,583 0 4 618 11.1
Minnekahta 71 0 0 0 0.0
Sundance 92 0 0 0 0.0
Inyan Kara 407 0 0 0 0.0
7 Deadwood 66 0 0 0 0.0
Madison and Minnelusa 2,438 67 378 790 32.4
Minnekahta 202 0 0 0 0.0
Sundance 73 0 0 0 0.0
Inyan Kara 456 69 69 138 30.2
8 Deadwood 157 0 0 0 0.0
Madison and Minnelusa 6,173 734 1,160 6,065 98.3
Minnekahta 827 16 35 15 1.8
Sundance 355 0 0 0 0.0
Inyan Kara 2,642 366 455 1,191 45.1
9 Deadwood 11 14 14 29 261.5
Madison and Minnelusa 43,324 468 715 2,400 5.5
Minnekahta 5,480 0 0 0 0.0
Sundance 410 0 0 0 0.0
Inyan Kara 1,090 90 90 180 16.5
Table 20.    Total mean annual recharge (table 11), mean annual well withdrawals (table 15), maximum annual well withdrawals (table 15), and total annual appropriations (as of 2022) for aquifers in subareas 1–9.
1

Includes precipitation and streamflow recharge for the Madison and Minnelusa aquifers.

2

Excludes future use appropriations.

3

Calculated by dividing the total annual appropriations by the mean annual recharge for each aquifer.

Mean annual recharge was not exceeded by mean annual well withdrawals, maximum annual well withdrawals, or total annual appropriations in subareas 1, 2, and 6–8 for all aquifers. Total annual appropriations as a percentage of mean annual recharge was calculated for each aquifer to assess the approximate availability of each aquifer in subareas 1–9 by dividing mean annual recharge by total annual appropriations (as of 2022). More than 50 percent was available for all aquifers in subareas 1 and 2 except for the Inyan Kara aquifer (table 20). In subarea 6 (Custer area), the percentage of mean annual recharge was near zero for all aquifers except for the Madison and Minnelusa aquifers. Percentage of mean annual recharge was greater than 30 percent for the Madison and Minnelusa and Inyan Kara aquifers in subarea 7 (Wind Cave area) but was near zero for other aquifers. Total appropriations in subarea 8 (Hot Springs area) were less than 50 percent for all aquifers except for the Madison and Minnelusa aquifers, which were nearly equal to the total recharge and differed by about 100 acre-ft (table 20). As stated previously, subarea 8 receives regional groundwater flow from subarea 9 (Jewel Cave area) and, therefore, availability may be slightly underestimated in subarea 8.

Total annual appropriations, mean annual well withdrawals, and (or) maximum annual well withdrawals exceeded mean annual recharge for various aquifers in 4 of the 9 subareas (table 20). In subarea 3 (Piedmont area), total annual appropriations for the Inyan Kara aquifer exceeded mean annual recharge by about 200 acre-ft. Mean and maximum well withdrawals, however, did not exceed mean annual recharge for the Inyan Kara aquifer in subarea 3. Mean annual recharge was exceeded by total appropriations in subarea 4 for the Madison and Minnelusa aquifers and the Inyan Kara aquifer (table 20). Total appropriations for the Madison and Minnelusa aquifers exceeded mean annual recharge by about 3,600 acre-ft. Mean and maximum annual well withdrawals for the Madison and Minnelusa aquifers were about 41 and 56 percent, respectively, of mean annual recharge in subarea 4. Total appropriations, mean annual well withdrawals, and maximum annual well withdrawals all exceeded mean annual recharge for the Inyan Kara aquifer in subarea 4 (Rapid City area; table 20). In subarea 5 (Hermosa area), mean annual recharge for the Inyan Kara aquifer was nearly two times less than total annual appropriations but was greater than mean and maximum well withdrawals. Total annual appropriations for the Deadwood aquifer were more than two times greater than mean annual recharge in subarea 9 (Jewel Cave area) and mean and maximum annual well withdrawals were nearly equal to recharge.

In addition to recharge, water availability also includes the water stored in pore spaces of aquifer materials. It is important to note that not all water stored in aquifers can be removed, so Carter and others (2003) used effective porosity values for each aquifer from Rahn (1985) to estimate the volume of recoverable water in six major aquifers in the Black Hills area (table 21). Effective porosity was multiplied by the area encompassed by each aquifer and the mean or maximum saturated thickness of each aquifer depending on whether the aquifers were unconfined or confined to calculate the volume of recoverable water. Estimates of total volume of recoverable water were updated as part of this study to include areas in Wyoming and used the same saturated thickness and effective porosity estimates as Carter and others (2003). Estimates of total recoverable volume were not provided by Carter and others (2003) for the Sundance aquifer and the total volume of recoverable water was not calculated in this report because the information needed for calculations was unavailable.

Table 21.    

Aquifer characteristics, including area, maximum thickness, mean saturated thickness, and effective porosity, and the estimated total amount of recoverable water in storage.

[--, not applicable]

Aquifer Area
(square miles)
Maximum formation thickness
(feet)
Mean saturated thickness
(feet)
Effective porosity1 Estimated amount of recoverable water in storage2
(million acre-feet)
Precambrian 35,041 -- 1500 0.01 2.6
Deadwood 4,216 500 226 0.05 39.6
Madison 4,113 1,000 4521 0.05 583.6
Minnelusa 3,623 1,175 6736 0.05 596.9
Minnekahta 3,082 65 50 0.05 6.9
Inyan Kara 2,512 900 310 0.17 127.2
Combined storage for major aquifers -- -- -- -- 356.9
Table 21.    Aquifer characteristics, including area, maximum thickness, mean saturated thickness, and effective porosity, and the estimated total amount of recoverable water in storage.
1

From Rahn (1985).

2

Storage estimated by multiplying area times mean saturated thicknesses times effective porosity.

3

The area used in storage calculation was the area of the exposed Precambrian rocks, which is 825 square miles.

4

Mean saturated thickness of the confined area of the Madison aquifer. The unconfined area had a mean saturated thickness of 300 feet.

5

Storage values are the summation of storage in the confined and unconfined areas.

6

Mean saturated thickness of the confined area of the Minnelusa aquifer. The unconfined area had a mean saturated thickness of 142 feet.

In total, the estimated total amount of recoverable water in storage in the study area was 356.9 million acre-ft for six major aquifers in the Black Hills area of South Dakota and Wyoming (table 21), which is more than 15 times greater than the maximum storage capacity of Oahe Reservoir on the Missouri River (23,137,000 acre-ft; U.S. Army Corps of Engineers, 2012) east of the Black Hills in South Dakota (not shown). Estimates provided in this study were about 40 percent greater than in Carter and others (2003) because of the additional area added in Wyoming. The largest storage volume was for the Inyan Kara aquifer (127.2 million acre-ft) because of its relatively large effective porosity (0.17). Estimated storage volumes for the Madison (83.6 million acre-ft) and Minnelusa (96.9 million acre-ft) aquifers were the third and second largest, respectively, because of the relatively large saturated thickness of both aquifers (table 21). The Precambrian, Deadwood, and Minnekahta aquifers had the smallest estimated storage volumes of all major aquifers because of relatively small areas, saturated thicknesses, and (or) low effective porosity.

The estimated volume of recoverable water in storage in the study area was large; however, water quality varies throughout the study area and, in some areas, may not be suitable for all types of water use. Water quality is an important consideration because the desired quality varies depending on the type of use. For example, water systems supplying drinking water require greater water quality than systems used for industrial and irrigation purposes. Groundwater quality can be affected by many factors and can contain numerous constituents from natural and (or) human sources. Natural sources primarily are introduced from the geologic materials within aquifers and the length of time water is in contact with geological materials, which can increase the concentration of constituents (Winter and others, 1998). Human-related constituents can be introduced to groundwater from many sources, such as chemicals used in agricultural practices leaching into the groundwater table or biologic constituents leaking into aquifers from septic tanks or sewer systems. In the Black Hills area, groundwater quality is affected by natural and human sources and heavily affected by interactions between groundwater and surface water. Williamson and Carter (2001) provide a detailed overview of groundwater quality for aquifers in the Black Hills area.

Carter and others (2003) evaluated the spatial variability of groundwater quality in the Black Hills area of South Dakota. In general, water quality was best within and near outcrop areas of aquifers and decreased downgradient of outcrop areas as aquifer depth increased. Groundwater quality varied by aquifer but in most cases physical properties (temperature, specific conductance, and hardness) and chemical constituents (arsenic, iron, manganese, sodium, sulfate) that could require water treatment increased downgradient. Radionuclide concentrations also were relatively high for some aquifers, such as the Deadwood and Inyan Kara aquifers, and exceeded U.S. Environmental Protection Agency standards in some areas (Carter and others, 2003). Municipal pumping wells completed in the Madison aquifer for the cities of Hot Springs, Rapid City, Spearfish, Sturgis, and Whitewood generally were within 20 miles of outcrops and had adequate groundwater quality for drinking water. Conversely, water was relatively hot and salty for municipal wells completed in the Madison aquifer for the cities of Box Elder and Edgemont, which were farther than 20 miles from outcrops. Therefore, the amount of recoverable water in storage adequate for drinking water systems without treatment likely is considerably less than estimates provided in table 21.

Limitations

Limitations affecting the datasets and methods used in this study were identified and are discussed in this section. Limitations are discussed for the various inflow and outflows of the hydrologic budget and groundwater availability. Carter and others (2001a), Carter and others (2001b), and Driscoll and Carter (2001) each provide discussions of limitations and uncertainty for their studies, which also apply to this study because many of the same methods and datasets were used. Uncertainty was not quantified for any of the results presented in this study but is discussed in general terms by evaluating datasets and methods used to construct hydrologic budgets and estimate water availability.

Precipitation recharge estimates were limited by the data and methods used to estimate recharge. Older precipitation datasets, especially records before the 1950s, have greater uncertainty than more recent datasets because fewer climate stations were available with complete records (Driscoll and others, 2000). Uncertainty was also introduced by interpolation of precipitation data between climate station locations. Inherently, precipitation data for areas with sparse climate stations have higher uncertainty than areas with dense climate station distributions.

The recharge calculation for this study simplified a complex system of evapotranspiration and precipitation infiltration that is affected by many variables including land cover, soil permeability and thicknesses, temperature, soil saturation, precipitation intensities, and so forth, into a simple equation with annual precipitation, mean annual precipitation, and mean annual yield efficiency as the only variables. The use of the annual yield equation (eq. 3) was based on multiple assumptions that make the quantification of uncertainty difficult. The assumption that equation 3 was sufficient in estimating annual yield efficiency was based on regressions between yield efficiency and precipitation from different streamgages with varying amounts of data (Carter and others, 2001a). The recharge factor used to estimate how much precipitation from the yield equation becomes groundwater recharge was also a simplifying factor that increased uncertainty of the recharge estimates. The infiltration rates of soil horizons and hydrologic units of the study area likely vary spatially with higher infiltration rates in some areas. Although many assumptions and simplifications were made, the general estimates of the groundwater recharge were reasonable and close to estimates made in previous studies.

Streamflow recharge estimates had fewer limitations and less uncertainty than precipitation recharge because estimates were based on measured values of streamflow and loss thresholds for most basins; however, the data and methods used to calculate streamflow recharge presented limitations that varied by site. Streamflow records and loss thresholds were available for most basins in the study area, but the length and completeness of streamflow records varied by streamgage. In general, streamflow records were sparse before 1990 for most streamgages and only a few streamgages had records back to the 1950s. Some streamgages had relatively long streamflow records but were not complete because streamflow was not measured for some years. The period from 1990 to 2022 had the most complete streamflow records and the least uncertainty.

Streamgages with relatively long streamflow records had the least uncertainty, whereas sites with short streamflow records and (or) no measured loss thresholds presented the greatest uncertainty and required additional methods to estimate streamflow recharge. The synthetically generated streamflow records and loss thresholds from representative basins used to estimate recharge for some basins may not accurately represent true basin conditions; however, no additional information was available and, therefore, these estimates were considered adequate for calculating streamflow recharge. Statistical linear regression techniques were used to lengthen streamflow records and (or) estimate annual recharge for various basins and time periods, such as 1931–50 when almost no streamflow records were available. Linear regression techniques inherently introduced uncertainty because relations among sites were not perfect, and the variability of natural systems, such as streams, cannot be captured by linear regression. The best regression equation with the highest coefficient of determination value was used to reduce uncertainty as much as possible.

Uncertainty in estimates of headwater and artesian springflow were from the method used to estimate precipitation recharge, which was used to estimate headwater springflow, and the varying data available for estimating artesian springflow. Headwater springflow was assumed to equal the recharge from infiltration of precipitation in the part of the Limestone Plateau east of the groundwater divide. The accuracy of the estimates depends on the accuracy of the yield efficiencies used to estimate precipitation recharge, which was discussed earlier in this section. Jarrell (2000) compared headwater springflow estimates using yield efficiency to the measured runoff or base flow at several springs with multiple years of discharge records. Differences in the annual values for the period of record between the estimated basin yield and the measured discharge ranged from 1 percent to about 70 percent of the measured discharge (Carter and others, 2001b). However, all but one site had differences less than 22 percent. This range of differences likely represents the uncertainty of headwater springflow estimates. Uncertainty for artesian springflow estimates varied for each site based on the availability of discharge measurements at each site. Sites with more discharge data had more accurate annual mean estimates; however, sites with few discharge measurements, such as the springs near Cascade Springs (432013103332200 and 432012103331100) in the southern Black Hills had more uncertainty and less accurate annual mean estimates.

The data and methods used to estimate well withdrawals had several limitations. The water rights dataset (SDDANR, 2024a) used in this study likely was not complete for 1931–2022. Only water rights active as of 2022 were included in the dataset and all cancelled permits were excluded. It is probable that some permits cancelled before 2022 were active for some time between 1931 and 2022 and exclusions of these permits would underestimate the true number of permits and appropriations for years spanning the active period of cancelled permits. Another limitation was that some permits were for two or more aquifers, which made differentiating appropriations difficult for each aquifer. Only one permit for multiple aquifers was identified, so this limitation likely did not have a large effect on the results of this study; however, it is possible more permits with two or more aquifers were missed. In addition to multiple aquifers, some permits specified one or more types of water use. Permits with several water-use types were simplified to one type—the inferred major type of water use—to evaluate how water was used in the study area because permits do not specify appropriations for each type of water use. The simplification likely either underestimated or overestimated the number of permits and (or) appropriations for the various water use types.

Well withdrawal estimates for 2003–22 were affected by the same limitations as water rights data but also by inherent uncertainty of well withdrawal datasets and the methods used to estimate well withdrawals if well withdrawal data were unavailable. Estimating annual well withdrawals involved matching reported annual water-use data from the SDDANR (Adam Mathiowetz, SDDANR, written commun., 2024), WYSEO (2024b), or provided by water users to permit information. Therefore, the same limitations regarding cancelled permits, permits with two or more aquifers, and simplification of water use types for permits apply to the spatial and temporal evaluations of groundwater. Well withdrawal datasets were provided by either State agencies in South Dakota and Wyoming or from individual water users. Water users are responsible for tracking and reporting well withdrawals, which involves installing devices that measure withdrawals. The devices used by water users to track water usage can break, causing a data gap, or can give erroneous readings that may underestimate or overestimate withdrawals. The uncertainty of well withdrawals measured by these devices was acknowledged but likely was relatively small compared to other sources of uncertainty in the following paragraphs.

Annual well withdrawal data were unavailable for many permits because State agencies in South Dakota and Wyoming did not require water users to report their withdrawals until the 2000s. Water users for some permits still are not required to report their use as of 2022 and some users did not report withdrawals despite requirements. Additionally, well withdrawal estimates for certain types of water use were more uncertain than others. For example, many commercial and industrial permits did not require users to report water usage, whereas most municipal and irrigation permits required annual reporting. The most complete dataset was for 2003–22 when the greatest number of permits had available well withdrawal data. Before 2003, annual well withdrawal data were sparse and, therefore, withdrawals were not estimated. The scope of this study was to compare modern well withdrawals to long-term recharge, so the lack of well withdrawal data before 2003 did not affect the objectives of this study.

Missing well withdrawal data between 2003 and 2022 were estimated using three methods that all introduced various degrees of uncertainty. The first method involved determining permits with zero well withdrawals based on information provided in permits and (or) by water users. Many water systems have backup systems that are used when a primary system goes offline or when water demand exceeds the maximum capacity of the primary system. Unless well withdrawal data were provided by water systems, well withdrawals for permits for backup systems were assumed to be zero, which may have underestimated the true withdrawals. The second method consisted of calculating annual well withdrawals using mean daily withdrawal rates. Daily rates were calculated from annual well withdrawal data collected by State agencies for an unspecified year. The mean daily withdrawal rate represents well withdrawals for only 1 year and likely either underestimates or overestimates well withdrawals for a different year. The third method involved multiplying maximum annual diversion volumes by a ratio of 0.5 to determine annual well withdrawals, which was based on permits that were required to report withdrawals. Estimates derived using the third method (ratio) had the greatest uncertainty and estimated the same annual well withdrawals every year, which is not realistic because well withdrawals vary annually.

In general, well withdrawal data had the least uncertainty relative to other budget items because the data were based on recorded numbers provided by water users. Additionally, most of the largest water users in the study area, such as municipalities, were required to report water usage, which made estimates of annual well withdrawals more accurate. Domestic well withdrawals for smaller users were not considered and, therefore, the annual total well withdrawal estimates provided in this study may be slightly underestimated for each aquifer. Domestic well withdrawals are difficult to quantify because users are not required to report withdrawals and the true number of wells actively being used is unknown.

Groundwater availability presented in this report included discussion of the volume of recoverable water in storage for major bedrock aquifers. The data and methods used to estimate the volume of recoverable water in storage had several limitations. Storage calculations were based on generalized aquifer properties that may not accurately represent true conditions throughout the study area. The area encompassed by aquifers in the study area is not known and the estimates provided in this study were derived from spatial datasets of bedrock geology covering a large area. The uncertainty of geologic maps generally increases as the size of the mapped area increases. Despite the uncertainty associated with geologic maps, the size of each aquifer relative to one another likely was adequate for calculations. Greater uncertainty for storage calculations was from the other aquifer properties used in storage calculations—including maximum aquifer thickness, mean saturated thickness, and effective porosity values. Aquifer properties are known to vary considerably over short distances in the study area based on well drilling logs and aquifer tests (Carter and others, 2003).

Summary

Population growth and recurring droughts in the Black Hills region can affect water resources and future availability. Drought conditions in the late 1980s and the early 2000s stressed local water systems that relied heavily on surface water as the population of the region was increasing. The Black Hills hydrology study (BHHS) was initiated in the early 1990s to inventory and assess the region's water resources, focusing on the quantity, quality, and distribution of surface water and groundwater. The population of the Black Hills region increased by about 39 percent since completion of the BHHS in 2000 compared to 2022, which has renewed interest in future water demand and availability in the Black Hills. Historical well withdrawal patterns and availability estimates can inform effective resource management. The U.S. Geological Survey (USGS) has not comprehensively collected or analyzed detailed well withdrawal data and hydrologic budgets for aquifers in the Black Hills region since completion of the BHHS.

The USGS, in cooperation with the Western Dakota Regional Water System, completed a study to (1) update hydrologic budgets from the BHHS for six of the most used aquifers in the Black Hills and (2) to evaluate water availability by comparing results from hydrologic budgets to modern well withdrawals and water rights information from State agencies and (or) water systems. Key updates to the BHHS budgets include (1) adding available data from 1999 to 2022 and (2) dividing hydrologic budgets for each aquifer into subareas. The aquifers included in this study were the Deadwood, Madison, Minnelusa, Minnekahta, Sundance, and Inyan Kara. Hydrologic budgets consisted of various budget components including inflows and outflows. Inflows included recharge, leakage from adjacent (underlying or overlying) aquifers, and groundwater inflows across the study area boundary (regional groundwater flow). Outflows included springflow, well withdrawals, leakage to adjacent aquifers, and regional groundwater flow out of the study area. Leakage to and from adjacent aquifers was difficult to quantify, so previous studies and this study included leakage with groundwater flows for budgeting purposes.

Recharge included infiltration of precipitation on outcrops of geologic units and streamflow recharge where streams cross outcrops and lose all or part of their flow. Total mean annual recharge for all aquifers in the study area was estimated at 278,900 acre-feet (acre-ft), with 205,100 acre-ft from precipitation recharge and 73,800 acre-ft from streamflow recharge. Mean annual precipitation recharge for the Madison and Minnelusa aquifers together accounted for 76 percent of the total mean annual precipitation recharge, with the Madison aquifer contributing 57,000 acre-ft and the Minnelusa aquifer contributing 98,100 acre-ft. Mean annual precipitation recharge for the Madison (57,000 acre-ft) and Minnelusa (98,100 acre-ft) aquifers for 1931–2022 from this study were 34 and 7 percent, respectively, greater than estimates from Carter and others (2001a). Mean annual streamflow recharge for 1931–2022 was about 73,800 acre-ft, which was 9 percent greater than estimates for 1931–98 (67,500 acre-ft) and 4 percent greater than estimates for 1950–98 (70,900 acre-ft). Mean annual precipitation recharge for the Deadwood, Minnekahta, Sundance, and Inyan Kara aquifers combined accounted for 24 percent (or 50,100 acre-ft) of the total mean annual precipitation recharge.

Precipitation recharge generally was greatest in the northern and western Black Hills (subareas 1–4 and 9) where mean annual precipitation was relatively high and outcrop areas were extensive for many aquifers. Mean annual precipitation recharge in subareas 1 (Spearfish area) and 9 (Jewel Cave area) combined accounted for about 80 percent of the precipitation recharge in the study area. In contrast, precipitation recharge was lowest in the southern and eastern Black Hills (subareas 5–8) because of lower mean annual precipitation and, except for subarea 8 (Hot Springs area), limited outcrops of aquifers. Streamflow recharge also generally was greatest for subareas in the northern and western Black Hills except in subarea 9 (Jewel Cave area) where a previous study noted precipitation predominantly infiltrates the extensive outcrops of the Madison and Minnelusa aquifers or evaporates before reaching any streams. Streamflow recharge was greatest in subarea 4 (Rapid City area) and contributed to about 76 percent of total recharge in the subarea. Similarly, most of the total recharge was streamflow recharge for subareas along the eastern flank of the Black Hills (subareas 2–7).

Outflow components estimated for the hydrologic budget include artesian springflow and well withdrawals. Artesian springflow was estimated only for the Madison and Minnelusa aquifers. Total mean annual artesian springflow in the study area was estimated as 229 cubic feet per second (ft3/s; or 166,100 acre-ft) for the Madison and Minnelusa aquifers. Artesian springflow estimated in this study (166,100 acre-ft) was about 21 and 36 percent greater than mean annual artesian springflow estimated for 1987–96 (136,800 acre-ft) and 1950–98 (122,400 acre-ft), respectively. Outflows from artesian springflow also were estimated for each subarea. Artesian springflow was observed in all subareas except subarea 2 (Sturgis area). Springflow ranged from 6.1 ft3/s in subarea 3 (Piedmont area) to 114.5 ft3/s in subarea 1 (Spearfish area). Mean annual artesian springflow was highest in subareas 1 (Spearfish area), 4 (Rapid City area), and 8 (Hot Springs area) where large artesian springs contribute to streamflow in the largest perennial streams in the study area. Mean annual artesian springflow was lowest in subareas 3 (Piedmont area), 5 (Hermosa area), and 7 (Wind Cave area) where springs contribute to relatively small streams.

Mean total annual well withdrawals for 2003–22 in the study area were about 50,000 acre-ft, which was about 33 percent higher than groundwater-withdrawal estimates from 1995 and 2000 during the BHHS. Annual well withdrawal estimates ranged from about 45,100 acre-ft in 2019 to about 52,800 acre-ft in 2017. No increased well withdrawal patterns corresponding to population increases were observed between 2003 and 2022 despite the study area population increasing by about 39 percent from 2000 to 2022. Mean annual withdrawals for the Madison and Minnelusa aquifers for 2003–22 were 16,500 and 9,100 acre-ft, respectively. Mean annual withdrawals for alluvial aquifers were 11,200 acre-ft. Annual well withdrawals for the crystalline core, Deadwood, Minnekahta, Sundance, Inyan Kara, and “other” aquifers were each less than 5,000 acre-ft.

Mean annual well withdrawals in subareas 1–9 ranged from about 600 acre-ft in subarea 9 (Jewel Cave area) to about 19,900 acre-ft in subarea 4 (Rapid City area). Generally, subareas 1–4, located in the northern and northeastern parts of the Black Hills, had the highest well withdrawals, whereas subareas 5–9 in the southern and southeastern Black Hills had lower withdrawals. Well withdrawals were greatest in subareas 1 and 4 because of the relatively large municipal use for the cities of Rapid City and Spearfish, South Dakota, respectively. The amount of water withdrawn from each aquifer varied by subarea but generally was highest for the crystalline core, Madison, Minnelusa, and alluvial aquifers. The crystalline core aquifer contributed to about 53 and nearly 100 percent of the total withdrawals of all aquifers in subareas 5 (Keystone area) and 6 (Custer area). The Madison and Minnelusa aquifers were the most used in subarea 4, with mean annual withdrawals of about 8,100 acre-ft and 3,900 acre-ft, respectively. Well withdrawals also were relatively high for the Madison and Minnelusa aquifers in subarea 1, with mean withdrawals of about 5,200 and 3,000 acre-ft, respectively. Alluvial aquifers were most used in subareas 4 and 7 (Buffalo Gap area) with mean withdrawals of 4,400 and 4,000 acre-ft, respectively.

Net groundwater flow included inflows and outflows from regional groundwater in and out of subarea boundaries and for leakage between adjacent aquifers occurring within subareas. Net groundwater was positive for most aquifers in subareas 1–9 with exceptions for the Madison and Minnelusa aquifers in subareas 4, 7, and 8 and for the Deadwood and Inyan Kara aquifers in subareas 9 and 1, respectively. Negative net groundwater flow for the Madison and Minnelusa aquifers in subareas 7 and 8 can be accounted for by inflows from regional groundwater flow across subarea boundaries and from outside the study area. Negative net groundwater flow in subarea 9 was −3 acre-ft, which was within the margin of error for estimates of inflows and outflows and, therefore, may not actually be negative.

Based on potentiometric contours of the Madison and Minnelusa aquifers in subarea 4, relatively large inflows from other subareas and (or) regional groundwater flow were unlikely; however, potentiometric contours are generalized and may not accurately represent localized flow across subarea boundaries. It is also possible that leakage from adjacent aquifers in subarea 4, such as the Deadwood aquifer, may contribute water that was not accounted for in the hydrologic budget. Hydrographs for wells completed in the Madison and Minnelusa aquifers in subarea 4 were evaluated to determine if storage in both aquifers was decreasing near Rapid City, S. Dak., because it was the largest water user in subarea 4 and, on average, accounted for about 49 percent of the mean annual well withdrawals from the Madison and Minnelusa aquifers.

Hydrographs for observation wells near or downgradient of pumping wells in Rapid City, S. Dak., generally show similar annual water-level increases and decreases as other wells in the study area that correlate with precipitation patterns; however, water levels in 2022 were similar or lower than water levels in the late 1990s for wells near and downgradient of pumping wells. Water levels were greater in 2022 than in the late 1990s for most observation wells away from pumping, which correlated with the cumulative departure curve for precipitation. Well withdrawals at pumping wells may be responsible for water-level discrepancies and it is possible that pumping may have reduced the amount of water added to storage in the Madison aquifer in subarea 4.

Aquifer-related factors affecting groundwater availability include location, local recharge, groundwater flow conditions, historical well withdrawals, and structural features. Other factors affecting groundwater availability are the laws governing entities’ use to issue water rights or manage aquifers and the water quality of groundwater resources. Total annual appropriations (excluding appropriations for future use) and mean and maximum annual well withdrawals for 2003–22 were compared to mean annual recharge for 1931–2022 for each aquifer in subareas 1–9. Mean annual recharge was not exceeded by mean annual well withdrawals, maximum annual well withdrawals, and total annual appropriations in subareas 1, 2, and 6–8 for all aquifers.

In subarea 3 (Piedmont area), total annual appropriations for the Inyan Kara aquifer exceeded mean annual recharge by about 200 acre-ft. Mean and maximum well withdrawals, however, did not exceed mean annual recharge for the Inyan Kara aquifer in subarea 3. Mean annual recharge was exceeded by total appropriations in subarea 4 for the Madison and Minnelusa aquifers and the Inyan Kara aquifer. Total appropriations for the Madison and Minnelusa aquifers exceeded mean annual recharge by about 3,600 acre-ft. Mean and maximum annual well withdrawals for the Madison and Minnelusa aquifers were about 41 and 56 percent, respectively, of mean annual recharge in subarea 4. Total appropriations, mean annual well withdrawals, and maximum annual well withdrawals all exceeded mean annual recharge for the Inyan Kara aquifer in subarea 4 (Rapid City area). In subarea 5 (Hermosa area), mean annual recharge for the Inyan Kara aquifer was nearly two times less than total annual appropriations but was greater than mean and maximum well withdrawals. Total annual appropriations for the Deadwood aquifer were more than two times greater than mean annual recharge in subarea 9 (Jewel Cave area) and mean and maximum annual well withdrawals were nearly equal to recharge.

In addition to recharge, water availability also includes the water stored in pore spaces of aquifer materials. Estimates of total volume of recoverable water were updated as part of this study to include areas in Wyoming and used the same saturated thickness and effective porosity estimates as a previous study. In total, the estimated total amount of recoverable water in storage in the study area was 356.9 million acre-ft for six major aquifers in the Black Hills area of South Dakota. The largest storage volume was for the Inyan Kara aquifer (127.2 million acre-ft) because of its relatively large effective porosity (0.17). Estimated storage volumes for the Madison (83.6 million acre-ft) and Minnelusa (96.9 million acre-ft) aquifers were the third and second largest, respectively, because of the relatively large saturated thickness of both aquifers. The Precambrian, Deadwood, and Minnekahta aquifers had the smallest estimated storage volumes of all major aquifers because of relatively small areas, saturated thicknesses, and (or) low effective porosity.

The estimated volume of recoverable groundwater in storage in the study area was large; however, water quality varies throughout the study area and, in some areas, may not be suitable for all types of water use. In the Black Hills area, groundwater quality is affected by natural and human sources and heavily affected by interactions between groundwater and surface water. In general, water quality was best within and near outcrop areas of aquifers and decreased downgradient of outcrop areas as aquifer depth increased. Therefore, the amount of recoverable water in storage adequate for drinking water systems without treatment likely is considerably less than estimates provided in this study.

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Appendix 1. Streamflow Recharge Extrapolation Methods

Additional methods were needed to extrapolate streamflow recharge estimates. Carter and others (2001) extrapolated recharge estimates for streams with miscellaneous-record streamgages and ungaged streams for water years 1950–91 using available data, which was updated in this study using additional data for water years 1999–2022. The percentage of combined recharge for each type of basin (continuous, miscellaneous, ungaged) was calculated by Carter and others (2001) for each year from 1992 to 1998 by dividing the subtotal for each type of basin by the total combined recharge of all basins.
Streamflow recharge estimates for water years 1999–2022 were combined with estimates for 1992–98 and mean annual percentages were recalculated. The updated percentages for water years 1992–2022 (table 1.1) for each type of basin rounded to the same values reported by Carter and others (2001) and, therefore, estimates for water years 1950–91 for basins with miscellaneous-record streamgages and ungaged basins were unchanged. Additional details regarding calculation of recharge estimates for water years 1950–91 for basins with miscellaneous-record streamgages and ungaged basins are provided in Carter and others (2001) and are not further discussed. Annual recharge for 1950–2022 for continuous-record, miscellaneous-record, and ungaged streams are provided in table 1.2.

Table 1.1.    

Estimated streamflow recharge for selected continuous-record, miscellaneous-record, and ungaged basins, water years 1992–2022.

[ft3/s, cubic feet per second]

Water year Continuous record1 Miscellaneous record Ungaged Combined recharge (ft3/s)
Annual recharge
(ft3/s)
Percent
of combined recharge2
Annual recharge
(ft3/s)
Percent
of combined recharge2
Annual recharge
(ft3/s)
Percent
of combined recharge2
1992 36.55 70.95 6.5 12.62 8.47 16.44 51.52
1993 74.66 65.74 14.49 12.76 24.42 21.5 113.57
1994 68.75 66.5 13.05 12.62 21.58 20.88 103.38
1995 91.7 55.57 21.98 13.32 51.33 31.11 165.01
1996 103.07 64.31 21.45 13.38 35.76 22.31 160.28
1997 132.89 66.24 23.36 11.64 44.38 22.12 200.63
1998 106.61 68.7 18.45 11.89 30.12 19.41 155.18
1999 143.86 65.28 26.61 12.07 49.90 22.64 220.37
2000 80.17 68.47 14.52 12.4 22.40 19.13 117.09
2001 62.85 67.89 12.11 13.08 17.62 19.03 92.58
2002 34.39 68.07 6.78 13.43 9.35 18.5 50.52
2003 45.15 66.53 9.20 13.56 13.51 19.9 67.86
2004 19.73 63.85 4.75 15.38 6.42 20.77 30.90
2005 22.02 60.86 5.85 16.17 8.31 22.98 36.18
2006 36.62 58.02 9.74 15.44 16.75 26.54 63.12
2007 40.69 57.76 10.96 15.55 18.81 26.69 70.46
2008 68.92 61.6 15.06 13.46 27.91 24.94 111.89
2009 84.59 63.88 18.00 13.59 29.83 22.53 132.42
2010 92.32 63.03 18.72 12.78 35.44 24.19 146.48
2011 87.99 63.59 17.64 12.75 32.73 23.66 138.37
2012 38.34 67.79 7.70 13.61 10.52 18.6 56.55
2013 41.62 62.43 9.58 14.37 15.47 23.2 66.67
2014 125.80 63.29 25.72 12.94 47.24 23.77 198.76
2015 116.98 61.33 24.06 12.61 49.69 26.05 190.72
2016 61.83 69.89 11.30 12.77 15.34 17.34 88.47
2017 42.26 70.28 7.96 13.24 9.91 16.48 60.13
2018 72.64 66 13.96 12.68 23.46 21.32 110.07
2019 116.22 59.62 24.72 12.68 54.01 27.7 194.95
2020 106.91 66.79 20.03 12.51 33.14 20.7 160.08
2021 52.37 68.57 9.89 12.95 14.12 18.48 76.37
2022 49.84 64.95 10.60 13.82 16.29 21.23 76.74
Mean3 87.75 65.43 17.04 12.6 30.87 21.97 135.66
Mean 72.85 64.77 14.67 13.29 25.62 21.94 113.14
Table 1.1.    Estimated streamflow recharge for selected continuous-record, miscellaneous-record, and ungaged basins, water years 1992–2022.
1

Excludes recharge from Rapid Creek and Spearfish Creek.

2

Individual values may not sum to 100 percent because of independent rounding.

Table 1.2.    

Estimated total streamflow recharge, in cubic feet per second, from all sources, water years 1950–2022.

[--, not computed]

Water year Annual recharge Moving means for total streamflow recharge
Continuous-record streams Miscellaneous-record
streams
Ungaged streams Total2 3-year mean 5-year mean 10-year mean
Rapid Creek Spearfish Creek Others1
1950 10 5.14 44.5 9.59 10.27 79.5 -- -- --
1951 9.96 4.65 39.96 7.99 13.53 76.09 -- -- --
1952 9.98 5.58 63.67 12.73 21.55 113.52 89.7 -- --
1953 10 5.83 52.51 10.5 17.77 96.62 95.41 -- --
1954 10 4.84 33.32 6.66 11.28 66.1 92.08 86.37 --
1955 10 5.48 32.21 6.44 10.9 65.04 75.92 83.47 --
1956 9.97 4.71 33.29 6.66 11.27 65.9 65.68 81.43 --
1957 9.02 4.95 67.05 13.41 22.69 117.12 82.68 82.15 --
1958 8.65 4.81 38.83 7.77 13.14 73.2 85.41 77.47 --
1959 9.45 4.38 30.35 6.07 10.27 60.53 83.61 76.36 81.36
1960 8.71 4.08 30.41 6.08 10.29 59.57 64.43 75.26 79.37
1961 9.67 3.7 27.04 5.41 9.15 54.97 58.36 73.08 77.26
1962 7.82 4.78 71.45 14.29 24.18 122.52 79.02 74.16 78.16
1963 7.78 6.45 58.12 11.62 19.67 103.64 93.71 80.25 78.86
1964 10 6.64 51.24 10.25 17.34 95.48 107.21 87.24 81.8
1965 10 8.19 79.7 15.94 26.97 140.8 113.31 103.48 89.37
1966 10 6.56 53.08 10.62 17.97 98.23 111.5 112.13 92.61
1967 10 6.44 67.97 13.59 23 121 120.01 111.83 92.99
1968 10 5.84 43.57 8.71 14.75 82.87 100.7 107.68 93.96
1969 9.99 6.15 37.76 7.55 12.78 74.24 92.7 103.43 95.33
1970 10 8.26 56.5 11.3 19.12 105.19 87.43 96.31 99.89
1971 10 8.02 68.68 13.74 23.24 123.68 101.03 101.4 106.76
1972 9.86 8.01 70.89 14.18 23.99 126.93 118.6 102.58 107.2
1973 10 8.72 68.29 13.66 23.11 123.78 124.79 110.76 109.22
1974 10 6.63 24.35 4.87 8.24 54.09 101.6 106.73 105.08
1975 9.99 6.55 51.69 10.34 17.5 96.06 91.31 104.91 100.61
1976 10 6.59 62.67 12.53 21.21 113.01 87.72 102.77 102.08
1977 10 6.72 45.18 9.04 15.29 86.23 98.43 94.63 98.61
1978 9.99 7.67 59.14 11.83 20.02 108.65 102.63 91.61 101.19
1979 10 6.28 44.64 8.93 15.11 84.96 93.28 97.78 102.26
1980 10 5.59 28.98 5.8 9.81 60.17 84.59 90.6 97.76
1981 10 5.03 29.8 5.96 10.09 60.88 68.67 80.18 91.48
1982 9.9 6.3 47.32 9.46 16.02 89 70.02 80.73 87.68
1983 10 7.82 63.42 12.68 21.46 115.39 88.42 82.08 86.84
1984 10 8.03 67.92 13.58 22.99 122.53 108.97 89.59 93.69
1985 10 5.48 22.36 4.47 7.57 49.88 95.93 87.54 89.07
1986 10 5.65 49.97 9.99 16.91 92.52 88.31 93.86 87.02
1987 10 4.83 60.82 12.16 20.59 108.41 83.6 97.74 89.24
1988 10 4.92 15.25 3.05 5.16 38.38 79.77 82.34 82.21
1989 10 5.03 16.46 3.29 5.57 40.36 62.38 65.91 77.75
1990 10 5.04 39.8 7.96 13.47 76.27 51.67 71.19 79.36
1991 9.99 4.94 57.32 11.46 19.4 103.11 73.25 73.3 83.58
1992 10 4.78 36.55 6.5 8.47 66.3 81.89 64.88 81.31
1993 10 5.26 74.66 14.49 24.42 128.83 99.42 82.97 82.66
1994 10 6.78 68.75 13.05 21.58 120.16 105.1 98.93 82.42
1995 10 8.56 91.7 21.98 51.33 183.57 144.18 120.39 95.79
1996 10 9.2 103.07 21.45 35.76 179.48 161.07 135.67 104.49
1997 10 10.92 132.89 23.36 44.38 221.55 194.87 166.72 115.8
1998 10 9.59 106.61 18.45 30.12 174.77 191.93 175.9 129.44
1999 10 10.82 143.86 26.61 49.90 241.19 212.5 200.11 149.52
2000 10 9.72 80.17 14.52 22.40 136.81 184.26 190.76 155.58
2001 10 8.08 62.85 12.11 17.62 110.66 162.89 177 156.33
2002 10 6.76 34.39 6.78 9.35 67.28 104.92 146.14 156.43
2003 10 6.89 45.15 9.20 13.51 84.75 87.56 128.14 152.02
2004 10 6.05 19.73 4.75 6.42 46.95 66.33 89.29 144.7
2005 10 5.86 22.02 5.85 8.31 52.04 61.25 72.34 131.55
2006 10 6.42 36.62 9.74 16.75 79.53 59.51 66.11 121.55
2007 10 6.76 40.69 10.96 18.81 87.22 72.93 70.1 108.12
2008 10 8.49 68.92 15.06 27.91 130.38 99.04 79.22 103.68
2009 10 9.47 84.59 18.00 29.83 151.89 123.16 100.21 94.75
2010 10 9.97 92.32 18.72 35.44 166.45 149.57 123.09 97.72
2011 10 10.79 87.99 17.64 32.73 159.15 159.16 139.02 102.56
2012 10 9.04 38.34 7.70 10.52 75.60 133.73 136.69 103.4
2013 10 8.56 41.62 9.58 15.47 85.23 106.66 127.66 103.44
2014 10 11.54 125.80 25.72 47.24 220.30 127.04 141.35 120.78
2015 10 11.51 116.98 24.06 49.69 212.24 172.59 150.5 136.8
2016 10 9.6 61.83 11.30 15.34 108.07 180.2 140.29 139.65
2017 10 7.37 42.26 7.96 9.91 77.50 132.6 140.67 138.68
2018 10 6.92 72.64 13.96 23.46 126.98 104.18 149.02 138.34
2019 10 8.51 116.22 24.72 54.01 213.46 139.31 147.65 144.5
2020 10 9.13 106.91 20.03 33.14 179.21 173.22 141.04 145.77
2021 10 7.63 52.37 9.89 14.12 94.01 162.23 138.23 139.26
2022 10 7.41 49.84 10.60 16.29 94.14 122.45 141.56 141.11
Mean (1950–1998)3 9.81 6.25 53.5 10.64 18.18 98.39 -- -- --
Mean (1950–2022) 9.87 6.98 58.44 11.74 20.12 107.15 -- -- --
Table 1.2.    Estimated total streamflow recharge, in cubic feet per second, from all sources, water years 1950–2022.
1

Other streams with minimal regulation, including Battle Creek, Boxelder Creek, Grace Coolidge Creek, French Creek, Spring Creek, Bear Butte Creek, Bear Gulch, Beaver Creek, and Elk Creek.

2

Values may not exactly sum to total due to independent rounding.

Carter and others (2001) also extrapolated annual streamflow recharge estimates for water years 1931–49 using statistical regression techniques. Linear regression of annual precipitation and streamflow recharge estimates from 1989 through 1998 from Carter and others (2001) yielded a coefficient of determination value of 0.81 and the regression equation: Streamflow Recharge=(0.294 × Precipitation Recharge)+21.319. As part of this study, linear regression was updated to include additional years of precipitation and streamflow data collection. Linear regression was performed using annual precipitation recharge and annual streamflow recharge for water years 1989 through 2022. The resulting equation yielded a coefficient of determination value of 0.57 and the regression equation: Streamflow Recharge=(0.327 × Precipitation Recharge)+33.791. Additional data for water years 1999–2022 lowered the coefficient of determination value of the linear regression; however, this result was expected because the updated regression consisted of climatic conditions with a greater range of annual precipitation and streamflow recharge values than those in Carter and others (2001). Additionally, streamflow data were scarce before the 1980s except for a few major streams, which made estimating streamflow recharge difficult. The updated regression equation was chosen to recalculate annual streamflow recharge estimates for 1931–49 (table 1.3). Updated annual streamflow recharge estimates generally were greater than estimates from Carter and others (2001) but the differences varied by year. Percent difference of estimates from Carter and others (2001) and the result computed in this study ranged from −17.3 to 44.0 percent, with a mean of 9.3 percent.

Table 1.3.    

Summary of streamflow, precipitation, and combined recharge, water years 1931–2022.

[ft3/s, cubic feet per second; --, not applicable]

Water year Streamflow recharge Precipitation recharge Combined recharge
Total
(ft3/s)
Total
(acre-feet)
Rank Total
(ft3/s)
Total
(acre-feet)
Rank Total1
(ft3/s)
Total
(acre-feet)
Rank
1931 250.99 236,915 86 52.61 38,091 90 103.60 75,007 90
1932 2102.66 274,322 39 210.66 152,512 35 313.32 226,835 40
1933 296.81 270,087 42 192.78 139,563 45 289.59 209,651 43
1934 249.71 235,988 88 48.69 35,250 91 98.40 71,238 91
1935 268.35 249,483 68 105.71 76,534 75 174.06 126,017 73
1936 243.84 231,739 90 30.73 22,247 92 74.57 53,985 92
1937 263.5 245,972 77 90.88 65,791 84 154.38 111,763 81
1938 266.82 248,375 70 101.04 73,148 78 167.86 121,524 77
1939 266.66 248,260 71 100.56 72,802 79 167.22 121,062 78
1940 260.45 243,764 80 81.56 59,048 86 142.01 102,812 86
1941 2118.14 285,529 26 258.02 186,801 28 376.16 272,331 26
1942 298.81 271,535 40 198.89 143,991 40 297.70 215,527 41
1943 281.41 258,938 58 145.67 105,459 59 227.08 164,398 62
1944 276.84 255,630 62 131.70 95,348 68 208.54 150,978 69
1945 2115.04 283,285 29 248.53 179,929 30 363.57 263,215 30
1946 2156.75 2113,482 12 376.14 272,313 11 532.89 385,795 11
1947 289.81 265,019 49 171.35 124,052 53 261.16 189,072 52
1948 281.89 259,286 57 147.15 106,532 58 229.04 165,818 61
1949 265.84 247,666 75 98.03 70,970 81 163.87 118,636 79
1950 79.5 57,555 60 135.78 98,298 64 215.28 155,854 65
1951 76.09 55,087 64 126.71 91,737 70 202.80 146,824 70
1952 113.52 82,185 30 135.45 98,063 65 248.97 180,248 55
1953 96.62 69,950 43 135.43 98,047 66 232.05 167,997 60
1954 66.1 47,854 73 77.52 56,125 87 143.62 103,980 85
1955 65.04 47,087 76 192.71 139,515 46 257.75 186,602 53
1956 65.9 47,709 74 106.71 77,258 74 172.61 124,967 74
1957 117.12 84,791 27 201.42 145,825 39 318.54 230,616 37
1958 73.2 52,994 67 142.08 102,862 61 215.28 155,857 64
1959 60.53 43,822 79 110.35 79,886 73 170.88 123,708 76
1960 59.57 43,127 82 89.60 64,871 85 149.17 107,998 83
1961 54.97 39,796 83 60.24 43,614 88 115.21 83,410 88
1962 122.52 88,700 23 347.87 251,845 17 470.39 340,546 16
1963 103.64 75,032 37 290.45 210,274 25 394.09 285,307 24
1964 95.48 69,124 45 310.64 224,891 20 406.12 294,016 23
1965 140.8 101,934 14 354.36 256,546 15 495.16 358,481 15
1966 98.23 71,115 41 112.12 81,171 72 210.35 152,286 67
1967 121 87,600 24 230.01 166,516 33 351.01 254,117 32
1968 82.87 59,995 56 180.99 131,029 49 263.86 191,025 51
1969 74.24 53,747 66 159.11 115,187 55 233.35 168,935 58
1970 105.19 76,154 36 211.30 152,972 34 316.49 229,127 38
1971 123.68 89,540 21 258.15 186,891 27 381.83 276,432 25
1972 126.93 91,893 19 291.90 211,325 24 418.83 303,219 21
1973 123.78 89,613 20 207.97 150,564 38 331.75 240,178 35
1974 54.09 39,159 84 102.19 73,980 76 156.28 113,140 80
1975 96.06 69,544 44 137.26 99,374 62 233.32 168,919 59
1976 113.01 81,815 31 260.38 188,507 26 373.39 270,323 29
1977 86.23 62,428 52 194.47 140,787 44 280.70 203,215 47
1978 108.65 78,659 33 238.21 172,453 32 346.86 251,113 34
1979 84.96 61,508 54 172.69 125,019 51 257.65 186,528 54
1980 60.17 43,561 81 91.66 66,361 83 151.83 109,922 82
1981 60.88 44,075 78 156.05 112,974 57 216.93 157,049 63
1982 89 64,433 50 353.38 255,834 16 442.38 320,268 20
1983 115.39 83,538 28 198.15 143,451 42 313.54 226,990 39
1984 122.53 88,708 22 240.74 174,287 31 363.27 262,995 31
1985 49.88 36,111 87 59.84 43,319 89 109.72 79,430 89
1986 92.52 66,981 48 370.56 268,270 12 463.08 335,253 17
1987 108.41 78,485 34 134.34 97,256 67 242.75 175,741 57
1988 38.38 27,786 92 94.88 68,693 82 133.26 96,479 87
1989 40.36 29,219 91 131.00 94,840 69 171.36 124,060 75
1990 76.27 55,217 63 136.68 98,949 63 212.95 154,167 66
1991 103.11 74,648 38 304.27 220,282 21 407.38 294,931 22
1992 66.3 47,999 72 182.45 132,084 48 248.75 180,084 56
1993 128.83 93,269 17 429.40 310,873 7 558.23 404,143 10
1994 120.16 86,992 25 198.49 143,698 41 318.65 230,691 36
1995 183.57 132,898 6 426.87 309,039 8 610.44 441,938 7
1996 179.48 129,937 7 384.97 278,709 10 564.45 408,647 9
1997 221.55 160,395 2 437.89 317,017 6 659.44 477,413 4
1998 174.77 126,528 9 335.32 242,758 18 510.09 369,287 13
1999 241.19 174,613 1 478.18 346,183 4 719.37 520,797 2
2000 136.81 99,046 15 145.40 105,263 60 282.21 204,310 46
2001 110.66 80,114 32 177.96 128,837 50 288.62 208,952 44
2002 67.28 48,708 69 122.55 88,719 71 189.83 137,428 71
2003 84.75 61,356 55 208.65 151,058 37 293.40 212,415 42
2004 46.95 33,990 89 98.93 71,624 80 145.88 105,615 84
2005 52.04 37,675 85 158.04 114,413 56 210.08 152,088 68
2006 79.53 57,577 59 296.13 214,387 23 375.66 271,965 28
2007 87.22 63,144 51 189.72 137,354 47 276.94 200,499 48
2008 130.38 94,391 16 495.58 358,782 2 625.96 453,174 6
2009 151.89 109,963 13 303.07 219,409 22 454.96 329,373 18
2010 166.45 120,504 10 329.85 238,801 19 496.30 359,306 14
2011 159.15 115,219 11 486.87 352,481 3 646.02 467,701 5
2012 75.60 54,732 65 101.70 73,628 77 177.30 128,361 72
2013 85.23 61,704 53 359.15 260,011 13 444.38 321,716 19
2014 220.30 159,490 3 500.43 362,294 1 720.73 521,785 1
2015 212.24 153,655 5 358.81 259,766 14 571.05 413,422 8
2016 108.07 78,239 35 166.04 120,206 54 274.11 198,446 49
2017 77.50 56,107 61 209.23 151,473 36 286.73 207,581 45
2018 126.98 91,929 18 389.67 282,111 9 516.65 374,041 12
2019 213.46 154,538 4 461.12 333,832 5 674.58 488,371 3
2020 179.21 129,742 8 196.66 142,377 43 375.87 272,120 27
2021 94.01 68,060 47 171.95 124,484 52 265.96 192,545 50
2022 94.14 68,154 46 254.63 184,344 29 348.77 252,499 33
Statistics for 1931–2022; includes updated annual streamflow recharge for 1931–49
Number 92 92 -- 92 92 -- 92 92 --
Minimum 38.38 27,786 -- 30.73 22,247 -- 74.57 53,985 --
Maximum 241.19 174,613 -- 500.43 362,294 -- 720.73 521,785 --
Mean 101.92 73,785 -- 214.04 154,960 -- 315.96 228,746 --
Table 1.3.    Summary of streamflow, precipitation, and combined recharge, water years 1931–2022.
1

Individual recharge estimates may not sum to total because of independent rounding.

2

Updated annual streamflow recharge values differ from Carter and others (2001).

Combined annual streamflow recharge estimates in table 1.3 were used to determine streamflow recharge for each basin or group of basins for 1931–2022 so that streamflow recharge estimates could be calculated for subareas 1–9. Streamflow recharge values were determined for 1931–49 for basins with continuous-record streamgages and for 1931–91 for basins with miscellaneous-record streamgages and ungaged basins. In some instances, two or more basins were combined for streamflow recharge estimates, which were kept for extrapolation recharge estimates for consistency with previous calculations. Most drainage basins were completely within subarea boundaries with some exceptions. Parts of basins 14 and 16 west of the subarea 4 boundary were in subareas 1 and 9, but all recharge estimates were assumed to be within subarea 4. This assumption was considered valid because the major loss zones for both basins were within subarea 4 (Hortness and Driscoll, 1998) and recharge occurring in basins 14 and 16 east of subarea 4 mostly were east of the groundwater divide, which discharged at headwater springs that supplied base flow to Rapid and Spring Creeks. Recharge from streamflow losses in basins 14 and 16 west of the groundwater divide was likely but was considered negligible compared to the total streamflow recharge occurring in subarea 4 and, therefore, was not calculated. Groups of ungaged basins in table 10 (in main report; basins 40–50; basins 51–55) also crossed two or more subarea boundaries. Recharge estimates were determined for the larger group and then scaled using drainage areas so that recharge estimates could be determined for the subarea containing each basin.
Annual streamflow recharge values for 1950–2022 in table 1.2 were used to determine the mean annual percent contribution for basins with continuous-record streamgages, basins with miscellaneous-record streamgages, and ungaged basins. Percent contribution was calculated for each year from 1950 to 2022 by dividing the annual streamflow recharge for each dataset (continuous, miscellaneous, ungaged) by the total annual streamflow recharge of all datasets. For example, in 1950, the annual streamflow recharge for basins with continuous-record streamgages was 59.64 cubic feet per second (ft3/s; table 5 in main report) and the total annual streamflow for all basins was 79.5 ft3/s. Dividing 59.64 ft3/s by 79.5 ft3/s yielded a percent contribution of 75 percent for basins with continuous-record streamgages. Mean percent contribution was calculated for 1950–2022 and was 71.3 percent for basins with continuous-record streamgages, 10.7 percent for basins with miscellaneous-record streamgages, and 18.0 percent for ungaged basins. Mean percent contribution for each type of dataset was applied to annual streamflow recharge values for 1931–49 in table 1.3 to determine the total annual recharge for each type of dataset.
Annual streamflow estimates were then calculated for each basin using the total annual recharge for each type of dataset for 1931–49. Percent contribution of each basin or group of basins within each type of dataset (continuous, miscellaneous, ungaged) was calculated by dividing available annual streamflow recharge values by the total streamflow recharge for each year. For example, the streamflow recharge for Rapid Creek in 1950 (10 ft3/s; table 1.2) was divided by the total streamflow recharge of all basins with continuous record streamgages in 1950 (sum of Rapid Creek, Spearfish Creek and “Others” in table 1.2; 59.64 ft3/s), which yielded a percent contribution of about 16.8 percent. The mean percent contribution was then calculated for each basin or group of basins within each type of dataset and applied to the total annual recharge estimates for each type of dataset for 1931–49 to determine the recharge in each basin. Basins were then grouped into subareas and annual recharge values were summed by year for 1931–2022 (table 1.4).

Table 1.4.    

Extrapolated streamflow recharge to the Madison and Minnelusa aquifers for subareas 1–9 for 1931–2022 with minimum, maximum, mean, and median annual streamflow.
Water year Recharge, in cubic feet per second
Subarea 1 Subarea 2 Subarea 3 Subarea 4 Subarea 5 Subarea 6 Subarea 7 Subarea 8 Subarea 9 Total
1931 9.42 9.61 4.52 16.74 4.72 3.42 1.12 1.44 0.00 50.99
1932 18.97 19.35 9.09 33.71 9.50 6.89 2.25 2.89 0.00 102.66
1933 17.89 18.24 8.58 31.79 8.96 6.50 2.13 2.73 0.00 96.81
1934 9.18 9.37 4.40 16.32 4.60 3.34 1.09 1.40 0.00 49.71
1935 12.63 12.88 6.06 22.44 6.33 4.59 1.50 1.93 0.00 68.35
1936 8.10 8.26 3.88 14.39 4.06 2.94 0.96 1.24 0.00 43.84
1937 11.73 11.97 5.63 20.85 5.88 4.26 1.39 1.79 0.00 63.50
1938 12.35 12.59 5.92 21.94 6.18 4.49 1.47 1.88 0.00 66.82
1939 12.32 12.56 5.91 21.89 6.17 4.48 1.46 1.88 0.00 66.66
1940 11.17 11.39 5.36 19.85 5.59 4.06 1.33 1.70 0.00 60.45
1941 21.83 22.26 10.47 38.79 10.93 7.93 2.59 3.33 0.00 118.14
1942 18.26 18.62 8.75 32.44 9.15 6.64 2.17 2.79 0.00 98.81
1943 15.04 15.34 7.21 26.73 7.53 5.47 1.79 2.30 0.00 81.41
1944 14.20 14.48 6.81 25.23 7.11 5.16 1.69 2.17 0.00 76.84
1945 21.25 21.68 10.19 37.77 10.65 7.72 2.53 3.24 0.00 115.04
1946 28.96 29.54 13.89 51.47 14.51 10.53 3.44 4.42 0.00 156.75
1947 16.59 16.92 7.96 29.49 8.31 6.03 1.97 2.53 0.00 89.81
1948 15.13 15.43 7.25 26.89 7.58 5.50 1.80 2.31 0.00 81.89
1949 12.16 12.41 5.83 21.62 6.09 4.42 1.45 1.86 0.00 65.84
1950 12.96 14.48 8.77 26.84 6.97 5.31 2.58 1.59 0.00 79.50
1951 13.27 14.18 8.02 24.53 7.09 4.94 1.97 2.10 0.00 76.10
1952 19.09 19.89 8.79 42.46 11.19 6.75 2.01 3.34 0.00 113.53
1953 17.06 17.27 8.98 34.08 7.93 5.73 2.80 2.76 0.00 96.61
1954 12.09 12.85 7.59 19.85 5.97 4.20 1.80 1.75 0.00 66.09
1955 12.51 13.00 7.92 17.70 5.70 4.39 2.12 1.69 0.00 65.03
1956 11.94 12.38 7.31 20.75 6.20 4.10 1.49 1.75 0.00 65.91
1957 19.14 20.98 8.80 42.79 12.81 7.43 1.66 3.52 0.00 117.12
1958 13.18 13.75 7.58 23.17 7.27 4.67 1.54 2.04 0.00 73.20
1959 10.98 11.11 6.55 19.98 5.99 3.45 0.86 1.59 0.00 60.52
1960 10.70 11.16 6.63 19.24 5.85 3.44 0.97 1.60 0.00 59.59
1961 9.61 9.93 5.99 19.11 5.53 2.86 0.51 1.42 0.00 54.96
1962 19.92 24.03 10.18 41.92 11.45 8.27 2.99 3.75 0.00 122.52
1963 18.83 21.60 9.86 27.04 12.73 7.62 2.90 3.05 0.00 103.63
1964 17.63 18.39 9.76 27.13 9.98 6.54 3.36 2.69 0.00 95.47
1965 25.07 30.03 12.44 39.69 14.09 10.71 4.58 4.18 0.00 140.79
1966 17.93 18.17 9.62 32.02 8.10 6.27 3.34 2.79 0.00 98.24
1967 20.86 22.89 9.38 40.56 11.87 8.86 3.00 3.57 0.00 120.99
1968 15.18 16.08 7.10 27.42 8.32 5.38 1.09 2.29 0.00 82.86
1969 14.29 13.57 6.03 25.87 6.75 4.82 0.91 1.98 0.00 74.22
1970 20.30 18.27 7.47 36.95 9.03 7.65 2.56 2.97 0.00 105.19
1971 22.59 22.64 9.19 41.75 11.61 9.10 3.20 3.61 0.00 123.68
1972 23.03 24.23 9.96 41.05 12.73 9.13 3.07 3.72 0.00 126.93
1973 23.21 23.76 9.87 39.32 12.56 8.68 2.78 3.59 0.00 123.77
1974 11.98 8.62 4.06 20.66 3.81 3.22 0.46 1.28 0.00 54.09
1975 17.59 17.02 7.07 34.18 8.42 6.93 2.15 2.71 0.00 96.07
1976 19.90 21.99 9.23 36.65 11.59 7.94 2.40 3.29 0.00 113.00
1977 16.41 14.38 5.97 32.92 5.77 6.41 1.99 2.37 0.00 86.23
1978 20.25 19.92 8.25 36.53 10.42 7.72 2.45 3.11 0.00 108.65
1979 15.84 16.86 7.48 26.79 9.34 5.33 0.97 2.34 0.00 84.97
1980 11.90 11.33 5.33 21.08 4.90 3.56 0.55 1.52 0.00 60.17
1981 11.51 12.06 5.71 19.65 6.50 3.34 0.56 1.57 0.00 60.89
1982 16.42 17.33 7.57 28.50 9.67 5.76 1.25 2.49 0.00 88.99
1983 21.30 19.21 7.53 43.25 8.49 8.74 3.51 3.33 0.00 115.37
1984 22.45 22.25 9.00 42.12 11.22 8.67 3.25 3.57 0.00 122.53
1985 10.42 7.03 3.27 20.62 2.82 4.13 0.42 1.17 0.00 49.88
1986 16.32 18.14 7.86 32.69 8.09 4.96 1.81 2.62 0.00 92.50
1987 17.75 23.97 10.53 32.36 11.82 7.12 1.65 3.19 0.00 108.40
1988 8.39 4.90 2.52 17.07 1.90 2.52 0.29 0.80 0.00 38.38
1989 8.74 8.22 2.70 15.39 2.66 1.46 0.31 0.86 0.00 40.34
1990 13.61 13.19 8.59 23.46 9.87 4.71 0.75 2.09 0.00 76.27
1991 17.09 20.51 9.09 32.87 12.06 7.16 1.31 3.01 0.00 103.10
1992 10.47 8.69 5.57 25.69 7.80 5.53 0.99 1.57 0.00 66.31
1993 19.16 23.83 10.05 42.53 17.76 9.21 2.18 4.12 0.00 128.84
1994 20.54 26.45 10.87 40.06 10.08 7.44 2.29 2.42 0.00 120.15
1995 30.94 43.80 12.00 45.99 19.81 12.99 6.12 11.92 0.00 183.56
1996 30.20 35.97 13.91 54.97 18.42 13.87 6.08 6.04 0.00 179.46
1997 31.95 46.69 16.80 68.01 26.05 16.83 6.73 8.48 0.00 221.54
1998 26.72 27.16 14.92 58.58 19.50 15.33 5.85 6.70 0.00 174.76
1999 35.89 44.00 18.88 72.42 31.79 19.48 8.28 11.23 0.00 241.99
2000 24.96 21.74 12.86 44.96 12.64 12.14 4.61 4.28 0.00 138.19
2001 19.76 17.52 9.58 37.10 12.27 9.32 2.57 3.09 0.00 111.20
2002 13.96 8.90 5.38 24.31 6.33 5.69 1.63 1.67 0.00 67.86
2003 17.21 13.84 7.96 29.10 7.54 6.03 1.51 1.88 0.00 85.08
2004 12.17 6.65 4.33 17.20 2.43 2.92 0.92 0.81 0.00 47.43
2005 12.69 9.28 4.46 16.98 4.37 2.61 0.77 0.74 0.00 51.88
2006 17.36 22.69 7.81 21.88 3.92 2.74 0.72 0.77 0.00 77.88
2007 19.90 25.76 10.34 23.36 2.75 2.16 0.44 0.64 0.00 85.35
2008 24.10 35.77 11.21 39.07 8.99 6.34 1.16 2.54 0.00 129.19
2009 27.51 38.02 14.14 46.13 13.41 7.72 1.30 2.55 0.00 150.77
2010 27.64 35.30 13.85 49.37 17.74 11.39 4.00 6.64 0.00 165.92
2011 28.10 32.74 13.57 46.92 14.33 12.06 4.81 5.99 0.00 158.52
2012 18.66 9.65 7.71 26.47 4.21 6.03 2.11 1.70 0.00 76.55
2013 19.59 20.00 9.23 26.58 4.26 3.03 1.16 0.84 0.00 84.70
2014 36.97 57.18 18.47 65.63 18.54 12.22 3.96 5.07 0.00 218.03
2015 34.44 44.22 17.83 60.67 24.07 14.20 6.38 9.74 0.00 211.54
2016 21.91 13.33 11.31 36.51 10.73 9.14 3.59 2.62 0.00 109.13
2017 16.10 8.57 8.03 28.49 7.50 6.51 2.05 1.88 0.00 79.13
2018 20.35 17.98 11.28 41.54 15.78 11.20 4.08 5.96 0.00 128.16
2019 29.47 50.77 14.97 57.57 22.36 15.68 7.48 12.50 0.00 210.80
2020 28.62 34.05 17.86 56.76 15.12 13.72 6.13 5.72 0.00 177.99
2021 17.99 14.20 8.34 32.42 7.45 7.88 3.55 2.57 0.00 94.39
2022 18.61 19.77 8.61 30.13 5.67 6.31 2.71 1.83 0.00 93.63
Minimum 8.10 4.90 2.52 14.39 1.90 1.46 0.29 0.64 0.00 38.38
Maximum 36.97 57.18 18.88 72.42 31.79 19.48 8.28 12.50 0.00 241.99
Mean 18.26 19.66 8.86 32.89 9.72 6.98 2.40 3.08 0.00 101.85
Median 17.69 17.75 8.46 30.96 8.37 6.32 2.00 2.54 0.00 94.01
Table 1.4.    Extrapolated streamflow recharge to the Madison and Minnelusa aquifers for subareas 1–9 for 1931–2022 with minimum, maximum, mean, and median annual streamflow.

References Cited

Carter, J.M., Driscoll, D.G., and Hamade, G.R., 2001, Estimated recharge to the Madison and Minnelusa aquifers in the Black Hills area, South Dakota and Wyoming, water years 1931–98: U.S. Geological Survey Water Resources Investigations Report 00–4278, 66 p., accessed August 2024 at https://doi.org/10.3133/wri004278.

Hortness, J.E., and Driscoll, D.G., 1998, Streamflow losses in the Black Hills of western South Dakota: U.S. Geological Survey Water-Resources Investigations Report 98–4116, 99 p., accessed August 2024 at https://doi.org/10.3133/wri984116.

Appendix 2. Headwater Springflow Estimates, 1931–2022

Headwater springflow is discharged from aquifers to the land surface upstream from the aquifer loss zones in the Madison and Minnelusa outcrops (fig. 7 in main report). This type of springflow originates at the Limestone Plateau area of the western Black Hills (fig. 7 in main report), which is comprised of outcrops of the Deadwood Formation, Madison Limestone, and Minnelusa Formation. The Limestone Plateau is a significant recharge area because of its large relative size compared to other outcrop areas in the Black Hills and because of the relatively high permeability of the rock. Additionally, the plateau is the headwater origin of most major streams discharging from the Black Hills.
A groundwater divide splits the direction of groundwater flow in the plateau (fig. 7 in main report). Precipitation on the east part of the divide infiltrates into the outcrops and recharges groundwater in the aquifers which then flows to the east. At the contact between the Madison Limestone and the underlying geologic units along the eastern fringe of the plateau, the groundwater discharges to the surface forming headwater springs. Springflow from individual headwater spring areas ranged from less than 1 to more than 30 cubic feet per second (ft3/s; Carter and others, 2001) and provided the headwaters for many of the streams flowing to the north and east in the Black Hills.
Although the Limestone Plateau provides a source of groundwater for springflow, direct surface runoff from the outcrops of the plateau is rare and peak flows following heavy rain at streams in the plateau are subdued compared to other stream sites in the Black Hills (Bunkers and others, 2015). The absence of runoff is the basis of the assumption by Carter and others (2001) that the efficiency of recharge from infiltration of precipitation approximates the yield efficiencies of nearby basins. The application of this assumption was used to estimate headwater springflow.
Quantifying headwater springflow was accomplished using methods and assumptions described by Carter and others (2001) but with yield efficiency values gridded for the study area and updated precipitation data from 1981–2022. Assuming that direct surface runoff from outcrops of the Madison Limestone and Minnelusa Formation is uncommon (Miller and Driscoll, 1998), headwater springflow was assumed equal to the recharge from infiltration of precipitation in the part of the Limestone Plateau east of the groundwater divide (fig. 7 in main report). Recharge from precipitation infiltration was approximated by the yield equation (eq. 3 in main report), and yield was estimated as described in the “Precipitation Recharge” section in the main report. The gridded recharge resulting from equation 3 was clipped to the Madison Limestone and Minnelusa and Deadwood Formations outcrops east of the groundwater divide (fig. 7 in main report) in the Limestone Plateau.
Estimated mean annual recharge to contributing areas for headwater springs for 1931–2022 is listed in table 2.1. Mean annual headwater springflow was 69.7 ft3/s for 1931–2002, the minimum was 8.4 ft3/s (1936), and the maximum was 191.6 ft3/s (2014). Carter and others (2001) estimated mean annual headwater springflow at 65.6 ft3/s for 1931–98, which was 6-percent less than estimates provided in this study. The higher mean annual headwater springflow estimate was expected because the mean annual precipitation was greater in this study for 1931–2022 than in Carter and others (2001) for 1931–98.

Table 2.1.    

Estimated mean annual recharge to contributing areas for headwater springs, water years 1931–2022.

[ft3/s, cubic feet per second]

Water year Headwater springflow
(ft3/s)
1931 14.1
1932 64.8
1933 56.6
1934 15.4
1935 36.4
1936 8.4
1937 26.0
1938 30.8
1939 33.3
1940 23.1
1941 73.8
1942 56.6
1943 51.2
1944 39.9
1945 77.5
1946 117.0
1947 54.4
1948 48.9
1949 29.2
1950 44.7
1951 36.9
1952 46.4
1953 49.5
1954 27.3
1955 63.6
1956 34.0
1957 62.1
1958 43.8
1959 34.7
1960 36.0
1961 18.4
1962 101.1
1963 92.5
1964 109.1
1965 103.8
1966 29.6
1967 67.7
1968 57.9
1969 51.3
1970 65.1
1971 77.1
1972 84.1
1973 59.7
1974 32.4
1975 42.8
1976 75.3
1977 61.9
1978 70.8
1979 53.2
1980 28.4
1981 46.5
1982 113.7
1983 77.4
1984 85.7
1985 23.0
1986 118.3
1987 50.4
1988 38.4
1989 47.6
1990 45.0
1991 99.0
1992 58.8
1993 130.0
1994 71.0
1995 142.0
1996 129.0
1997 165.4
1998 119.2
1999 128.4
2000 55.4
2001 50.2
2002 35.2
2003 78.8
2004 33.4
2005 55.4
2006 113.4
2007 66.0
2008 183.4
2009 102.6
2010 101.6
2011 160.4
2012 39.6
2013 127.2
2014 191.6
2015 132.4
2016 53.2
2017 68.1
2018 103.9
2019 123.5
2020 77.5
2021 65.5
2022 89.8
Mean annual 69.7
Minimum (1936) 8.4
Maximum (2014) 191.6
Table 2.1.    Estimated mean annual recharge to contributing areas for headwater springs, water years 1931–2022.

References Cited

Bunkers, M.J., Smith, M., Driscoll, D., and Hoogestraat, G., 2015, Hydrologic response for a high-elevation storm in the South Dakota Black Hills: Rapid City, South Dakota, National Oceanic and Atmospheric Administration/National Weather Service Internal Report 2015-01, 21 p., accessed September 2024 at www.weather.gov/media/unr/soo/reports/2015-01/NWSUNR-Report-2015-01.pdf.

Carter, J.M., Driscoll, D.G., Hamade, G.R., and Jarrell, G.J., 2001, Hydrologic budgets for the Madison and Minnelusa aquifers, Black Hills of South Dakota and Wyoming, water years 1987–96: U.S. Geological Survey Water-Resources Investigations Report 01–4119, 51 p., accessed August 2024 at https://doi.org/10.3133/wri014119.

Miller, L.D., and Driscoll, D.G., 1998, Streamflow characteristics for the Black Hills of South Dakota, through water year 1993: U.S. Geological Survey Water-Resources Investigations Report 97–4288, 322 p., accessed August 2024 at https://doi.org/10.3133/wri974288.

Appendix 3. Artesian Springflow Estimates, 1931–2022

Artesian springflow was estimated for several sites in the Black Hills area of South Dakota and Wyoming for 1931–2022. Artesian springflow was considered only for the Madison and Minnelusa aquifers. The period of record and method(s) used to estimate mean annual artesian springflow varied for each site (table 12 in main report). The mean annual artesian springflow estimates from this study also were compared to results from Carter and others (2001).
The Redwater River, measured at streamgage 06433000 (table 12 in main report), often includes flow from several large artesian springs. Streamflow in the Redwater River also is influenced by surface runoff and diversions during irrigation seasons (Carter and others, 2001). Although continuous streamflow records exist for several spring areas contributing to the Redwater River, the records are insufficient to estimate all contributing artesian springflow. Annual total springflow contributing to the Redwater River was estimated by Carter and others (2001) using monthly differences in streamflow between sites 06431500 and 06433000 (table 12 in main report). Artesian springflow for each water year was assumed equal to the median of streamflow difference values from November through February when irrigation and surface runoff were minor. Estimates from Carter and others (2001) were updated by adding additional years of discharge measurements. Monthly differences in streamflow between sites 06431500 and 06433000 for water years 1947–2022 are provided in the data release accompanying this report (Medler and others, 2025). For water years 1947–2022, the mean annual artesian springflow contributing to the Redwater River was estimated at 103.6 cubic feet per second (ft3/s), which is about 15-percent higher than Carter and others (2001) estimate of 90.3 ft3/s that used data from 1987 to 1996.
Mean annual artesian springflow along Spearfish Creek between sites 06431500 and 06432020 was estimated and included in the accompanying data release (Medler and others, 2025). Irrigation diversions also are part of the reach between the sites; therefore, a method like that used for the Redwater River was used to estimate artesian springflow. Artesian springflow was assumed equal to the median of monthly differences in measured streamflow between sites 06431500 and 06432020 from November through February. For 1989–98, the mean artesian springflow contribution to Spearfish Creek was estimated at 10.9 ft3/s, which is about 9-percent higher than Carter and others (2001) estimate of 10 ft3/s from 1989 to 1996.
Artesian springflow along Elk Creek is variable and occurs mostly within a short reach upstream from the confluence with Little Elk Creek (Carter and others, 2001). Annual and mean annual artesian springflow was estimated from the available period of record (1992–2020) by using the daily base flow index (BFI) estimated flow for site 06425100 when streamflow at site 06424000 was less than the loss threshold of 19 ft3/s estimated by Hortness and Driscoll (1998). Daily BFI was aggregated into monthly values and then water years. The mean annual artesian springflow was estimated at 6.1 ft3/s, which is about 3.2 times greater than the Carter and others (2001) estimate of 1.9 ft3/s.
Several artesian springs in the Rapid City area contribute to streamflow in Rapid Creek. The method used to estimate artesian springflow from Jackson and Cleghorn Springs was like that used by Anderson and others (1999) but updated to include data from additional water years that were not part of the original estimate. Anderson and others (1999) used a control volume analysis that included inflows and outflows in an area between streamgages 06412500 and 06412900. Inflows included streamflow from Rapid Creek at streamgage 06412500, tributary inflow, precipitation, and alluvial inflow. Mean annual inflow from streamflow was updated to include data from 1988 to 1994 (31.5 ft3/s), and annual precipitation was updated to 0.3 inch based on data from 1931 through 1994. Tributary and alluvial inflows remained the same as Anderson and others (1999). Outflows were updated to include annual mean data from streamgage 06412900 from 1988 through 1994 (47.2 ft3/s) and mean annual withdrawals from 1986 through 2006 and 2013 through 2022 (7.6 ft3/s). Evapotranspiration and alluvial outflows remained the same as the estimates from Anderson and others (1999). With updated data, the estimated Jackson and Cleghorn Spring artesian springflow was 23.6 ft3/s, which was a 9-percent increase from the original estimate of 21.6 ft3/s.
Springflow from other Rapid City springs was estimated by adding the mean annual springflow at City Springs (06413600), Lime Creek (06413650), and Deadwood Avenue Spring (06413800). Additional data from water years not included in the estimate by Anderson and others (1999) were included. The total mean annual artesian springflow from these springs was 5.4 ft3/s, which was an increase of 26-percent from the estimate by Anderson and others (1999) of 4.3 ft3/s.
Most of the reach of Boxelder Creek where stream losses occur are likely not in artesian conditions. However, artesian springflow could occur at the lower end of the reach upstream from site 06423010. Artesian springflow was estimated using the same method as Carter and others (2001) but with additional data from water years not included in the Carter and others (2001) study. Artesian springflow for Boxelder Creek was estimated by calculating the annual mean of base flow at site 06423010 using BFI only on days when the streamflow at site 06422500 was less than the loss threshold determined by Hortness and Driscoll (1998), which was assumed as 25 ft3/s. Artesian springflow was estimated as 0.5 ft3/s, which was a small increase from the Carter and others (2001) estimate of 0.3 ft3/s.
The method for estimating artesian springflow at Battle Creek was like that used by Carter and others (2001) but with additional water years of data not included in the previous study. Artesian springflow at Battle Creek (site 06406000) was estimated by calculating the annual mean of base flow at the site using BFI only on days when the streamflow at Battle Creek (site 06404000) and Grace Coolidge Creek (site 06404998) were less than the loss thresholds determined by Hortness and Driscoll (1998), which were 14 ft3/s and 21 ft3/s, respectively. The daily BFI values were used to estimate the mean annual springflow of 8.2 ft3/s, which was about 17 percent higher than Carter and others (2001) estimate of 7 ft3/s.
Streamflow at Beaver Creek above Buffalo Gap (06402470), Fall River at Hot Springs (06402000), and Stockade Beaver Creek near Newcastle, Wyoming (06392950) is dominated by artesian springflow (Carter and others, 2001). Artesian springflow was estimated using the same method as Carter and others (2001) by applying the BFI to measured daily flows but with additional daily values from years not included in the Carter and others (2001) study. The values were used to estimate annual mean BFI, which was then averaged to estimate the mean annual BFI for each site. Estimated mean annual artesian springflow was 9.9, 24.4, and 13.2 ft3/s for Beaver Creek above Buffalo Gap, Fall River at Hot Springs, and Stockade Beaver Creek near Newcastle, Wyoming, respectively (table 12 in main report). The values were about 3, 13, and 38 percent higher than values reported by Carter and others (2001) of 9.6, 21.5, and 9.6 ft3/s, respectively.
Springflow at Cascade Springs (06400497) and nearby springs (between sites 432013103332200 and 432012103331100) were assumed to consist entirely of artesian springflow. Mean annual springflow at Cascade Springs was measured at 19.4 ft3/s (USGS, 2024) for the period of record in this study, which was 4 percent higher than the value reported by Carter and others (2001) of 18.7 ft3/s for water years 1987 through 1995. Artesian springflow from springs nearby Cascade Springs were estimated by the difference of measurements at sites 432013103332200 (Cascade Springs below Alabaugh Creek) and 432012103331100 (Cascade Springs above Alabaugh Creek). These two sites are between springs that provide tributary flow to Alabaugh Creek. Carter and others (2001) estimated springflow from the springs nearby to Cascade Springs with measurements in 1996 with a difference of 3.9 ft3/s. The measurements were completed again in 2024 with a difference of 4.3 ft3/s, or about a 10-percent increase.

References Cited

Anderson, M.T., Driscoll, D.G., and Williamson, J.E., 1999, Ground-water and surface-water interactions along Rapid Creek near Rapid City, South Dakota: U.S. Geological Survey Water-Resources Investigations Report 98–4214, 99 p., accessed April 2025 at https://pubs.usgs.gov/publication/wri984214.

Carter, J.M., Driscoll, D.G., Hamade, G.R., and Jarrell, G.J., 2001, Hydrologic budgets for the Madison and Minnelusa aquifers, Black Hills of South Dakota and Wyoming, water years 1987–96: U.S. Geological Survey Water-Resources Investigations Report 01–4119, 51 p., accessed August 2024 at https://doi.org/10.3133/wri014119.

Hortness, J.E., and Driscoll, D.G., 1998, Streamflow losses in the Black Hills of western South Dakota: U.S. Geological Survey Water-Resources Investigations Report 98–4116, 99 p., accessed August 2024 at https://doi.org/10.3133/wri984116.

Medler, C.J., Anderson, T.M., and Eldridge, W.G., 2025, Datasets used in constructing hydrologic budgets for six bedrock aquifers in the Black Hills area of South Dakota and Wyoming, 1931–2022: U.S. Geological Survey data release, https://doi.org/10.5066/P1QWKUKP.

U.S. Geological Survey [USGS], 2024, USGS water data for the Nation: U.S. Geological Survey National Water Information System database, accessed August 2024 at https://doi.org/10.5066/F7P55KJN.

Conversion Factors

U.S. customary units to International System of Units

Multiply By To obtain
inch (in.) 2.54 centimeter (cm)
inch (in.) 25.4 millimeter (mm)
foot (ft) 0.3048 meter (m)
mile (mi) 1.609 kilometer (km)
acre 4,047 square meter (m2)
acre 0.4047 hectare (ha)
acre 0.4047 square hectometer (hm2)
acre 0.004047 square kilometer (km2)
square mile (mi2) 259.0 hectare (ha)
square mile (mi2) 2.590 square kilometer (km2)
gallon (gal) 3.785 liter (L)
gallon (gal) 0.003785 cubic meter (m3)
gallon (gal) 3.785 cubic decimeter (dm3)
acre-foot (acre-ft) 1,233 cubic meter (m3)
acre-foot (acre-ft) 0.001233 cubic hectometer (hm3)
acre-foot per year (acre-ft/yr) 1,233 cubic meter per year (m3/yr)
acre-foot per year (acre-ft/yr) 0.001233 cubic hectometer per year (hm3/yr)
cubic foot per second (ft3/s) 0.02832 cubic meter per second (m3/s)
gallon per minute (gal/min) 0.06309 liter per second (L/s)
inch per year (in/yr) 25.4 millimeter per year (mm/yr)
foot squared per day (ft2/d) 0.09290 meter squared per day (m2/d)

International System of Units to U.S. customary units

Multiply By To obtain
kilometer (km) 0.6214 mile (mi)
kilometer (km) 0.5400 mile, nautical (nmi)

Temperature in degrees Fahrenheit (°F) may be converted to degrees Celsius (°C) as follows:

°C = (°F – 32) / 1.8.

Datums

Vertical coordinate information is referenced to the North American Vertical Datum of 1988 (NAVD 88).

Horizontal coordinate information is referenced to the North American Datum of 1983 (NAD 83).

Altitude, as used in this report, refers to distance above the vertical datum.

Abbreviations

BFI

base flow index

BHHS

Black Hills hydrology study

GW

groundwater

IDW

inverse distance weighting

NAD 83

North American Datum of 1983

NAVD 88

North American Vertical Datum of 1988

NGVD 29

National Geodetic Vertical Datum of 1929

NWIS

National Water Information System

R2

coefficient of determination

SDDANR

South Dakota Department of Agriculture and Natural Resources

USGS

U.S. Geological Survey

WYSEO

Wyoming State Engineer’s Office

For more information about this publication, contact:

Director, USGS Dakota Water Science Center

821 East Interstate Avenue, Bismarck, ND 58503

1608 Mountain View Road, Rapid City, SD 57702

605–394–3200

For additional information, visit: https://www.usgs.gov/centers/dakota-water

Publishing support provided by the

Rolla and Sacramento Publishing Service Centers

Disclaimers

Any use of trade, firm, or product names is for descriptive purposes only and does not imply endorsement by the U.S. Government.

Although this information product, for the most part, is in the public domain, it also may contain copyrighted materials as noted in the text. Permission to reproduce copyrighted items must be secured from the copyright owner.

Suggested Citation

Medler, C.J., Anderson, T.M., and Eldridge, W.G., 2025, Hydrologic budgets and water availability of six bedrock aquifers in the Black Hills area, South Dakota and Wyoming, 1931–2022: U.S. Geological Survey Scientific Investigations Report 2025–5067, 87 p., https://doi.org/10.3133/sir20255067.

ISSN: 2328-0328 (online)

Study Area

Publication type Report
Publication Subtype USGS Numbered Series
Title Hydrologic budgets and water availability of six bedrock aquifers in the Black Hills area, South Dakota and Wyoming, 1931–2022
Series title Scientific Investigations Report
Series number 2025-5067
DOI 10.3133/sir20255067
Publication Date July 30, 2025
Year Published 2025
Language English
Publisher U.S. Geological Survey
Publisher location Reston, VA
Contributing office(s) Dakota Water Science Center
Description Report: ix, 87 p.; Data Release
Country United States
State South Dakota, Wyoming
Other Geospatial Black Hills area
Online Only (Y/N) Y
Additional Online Files (Y/N) N
Additional publication details