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USGS Open-File Report 02-362


Changes from the original module are written in bold text

NAME

gwflow_prms_min.f

NAME-OLD

gwflow_prms.f

SPECIAL FEATURES

NONE

MODULE PROCESS (TYPE)

Ground-water Flow

DEFINITION

Sums inflow to ground-water reservoirs and computes outflow to streamflow and to a ground-water sink if specified. Includes a new parameter that specifies a minimum ground-water storage for each reservoir that is maintained at all times. If this parameter is set equal to zero then the module is the same as the original PRMS module.

KEYWORDS

CREATION DATE

March 2001

PARAMETERS DECLARED

gwflow_coef

Ground-water routing coefficient to obtain ground-water flow contribution to streamflow.

gwsink_coef

Ground-water sink coefficient to compute the seepage from each reservoir to a ground-water sink.

gwstor_init

Storage in each ground-water reservoir at beginning of run, in inches.

gwstor_min

Minimum storage in each ground-water reservoir, in inches.

hru_gwres

Index of ground-water reservoir receiving excess water from the HRU soil zone.

ssr_gwres

Index of the ground-water reservoir that will receive flow from each subsurface reservoir.

basin_area

Total basin area, in acres.

VARIABLES DECLARED

basin_gwflow

Weighted average ground-water contribution to streamflow for the basin, in inches.

basin_gwin

Weighted average of inflow to ground water for the basin, in inches.

basin_gwsink

Weighted average water being routed to a ground-water sink for the basin, in inches.

basin_gwstor

Weighted average for ground-water storage for the basin, in inches.

gw_in_soil

Sum of the ground-water inflow from soil water excess, in acre-inches.

gw_in_ssr

Sum of the ground-water inflow from subsurface reservoirs, in acre-inches.

gwres_area

Ground-water reservoir area, in acres.

gwres_flow

Ground-water contribution to streamflow from each ground-water reservoir, in inches.

gwres_in

Total inflow to each ground-water reservoir, in acre-inches.

gwres_sink

Amount of water being routed to a ground-water sink, in inches.

gwres_stor

Total storage in each ground-water reservoir, in inches

EXTERNAL VARIABLES USED

hru_perv

HRU pervious area, in acres. [basin]

soil_to_gw

The amount of water transferred from the soil zone to a ground-water reservoir for each HRU, in inches. [smbal]

ssres_area

Subsurface reservoir area, in acres. [ssflow]

ssr_to_gw

Flow from each subsurface reservoir to its associated ground-water reservoir, in inches. [ssflow]

DESCRIPTION

The ground-water system is conceptualized as a linear reservoir and is assumed to be the source of all baseflow. Inflow to the ground-water reservoir is from excess soil moisture, soil_to_gw , and from seepage from a subsurface reservoir, ssr_to_gw . The shape of the baseflow recession of the simulated hydrograph will be influenced by the relative proportion of ground-water recharge from the two sources. Recharge from soil_to_gw occurs only on days when soil_moist_max is exceeded by infiltration, while ssr_to_gw occurs at any time there is water available in the subsurface reservoir. Therefore, the use of ssr_to_gw to recharge ground-water preferentially over soil_to_gw could decrease subsurface flow and increase ground-water contributions to the simulated hydrograph.

One or more ground-water reservoirs can be delineated in a watershed. Using more than one reservoir requires sufficient data to estimate initial storage volumes and routing coefficients. On small watersheds, only one ground-water reservoir is normally specified.

The flow from each ground-water reservoir ( gwres_flow ) , expressed in acre-inches is computed by

 

gwres_flow equals gwflow_coef times gwres_stor ,

where

gwflow_coef is the ground-water routing coefficient to obtain ground-water flow contribution to streamflow, and

gwres_stor is the total storage in each ground-water reservoir.

 

gwflow_coef and the initial value of gwres_stor , gwstor_init , can be estimated from available streamflow records using the hydrograph separation technique described by Linsley, Kohler and Paulhus (1958). Integrating the characteristic depletion equation,

 

(q sub t) equals (q sub 0) times (K sub r, exponent t) ,

 

where

q t , q 0 are streamflow at times t and 0, and

K r is a recession constant,

 

shows a relationship between gwres_flow and gwres_stor that is expressed as

 

gwres_stor equals (negative) (gwres_flow) divided by (log base e of K sub r) ,

 

 

where

K r is the slope of the ground-water flow recession obtained from the semilog plot for discharge versus time.

Rewriting equation 3 as

 

gwres_flow equals (negative log base e of K sub r) times (gwres_stor)  

 

 

shows that -log e K r is equivalent to gwflow_coef in equation 1.

 

For each ground-water reservoir, after gwres_flow is calculated and gwres_stor is reduced by that amount, gwres_stor is checked to determine if it is less than gwstor_min. If it is less than that quantity, it is made equal to gwstor_min. This minimum quantity adds additional water to the water budget that is not accounted for by precipitation during the simulation period. In high-relief, mountainous terrain, much of the water stored in the rock materials is older water. Even if precipitation did not occur over several years, certain geologic materials have residual storage that can still provide water to a lower basin outflow point. For example, a larger basin with elevation differences of 1,000 to 7,000 feet may have an effective (low porosity) storage reservoir depth of 3,000 feet that was filled over millenia. This reservoir can drain to the basin outflow without any additional input from precipitation. This concept would also hold in wetter mountainous terrain over timescales of hundreds of years.

 

 

The movement of water through the ground-water reservoir to points beyond the area of interest or measurement is treated using a ground-water sink. The accretion to gwres_sink is computed by

 

gwres_sink equals (gwsink_coef) times (gwres_stor) .

 

For each ground-water reservoir, after gwres_sink is calculated and gwres_stor is reduced by that amount, gwres_stor is checked to determine if it is less than gwstor_min. If it is less than that quantity, it is made equal to gwstor_min.

 

One or more ground-water reservoirs can be delineated in a watershed. Using more than one reservoir requires sufficient data to estimate initial storage volumes and routing coefficients. On small watersheds, only one ground-water reservoir is normally specified.

This module also computes weighted averages for gwres_stor , gwres_flow and gwres_sink for the basin.

REFERENCES

Leavesley, G. H., Lichty, R. W., Troutman, B. M., and Saindon, L. G., 1983, Precipitation-runoff modeling system--User's manual: U. S. Geological Survey Water-Resources Investigations Report 83-4238, 207 p.

Linsley, R. K., JR., Kohler, M. A., and Paulhus, J. L., 1958, Hydrology for engineers: New York, McGraw-Hill, p.151-155.

 

DEVELOPER NAME AND ADDRESS

 

George H. Leavesley

U.S. Geological Survey, WRD

Box 25046, MS 412, DFC

Denver, CO 80225

 

Telephone: 303-236-5026

Fax: 303-236-5034

Email: george@usgs.gov

 

Modified by:

John J. Vaccaro

U.S. Geological Survey, WRD

1201 Pacific Ave., Suite 600

Tacoma, WA 98402

 

Telephone: 253-428-3600 x2620

Fax: 253-428-3614

Email: jvaccaro@usgs.gov

 


URL for this page is http://pubsdata.usgs.gov/pubs/of/2002/ofr02362/htdocs/gwflow/gwflow_prms_min.htm
Page contact: Mark Mastin (mcmastin@usgs.gov), 253-428-3600, ext. 2609
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