Modeling water-surface elevations and virtual shorelines for the Colorado River in Grand Canyon, Arizona

Scientific Investigations Report 2008-5075
Prepared in cooperation with the Grand Canyon Monitoring and Research Center
By: , and 



Using widely-available software intended for modeling rivers, a new one-dimensional hydraulic model was developed for the Colorado River through Grand Canyon from Lees Ferry to Diamond Creek. Solving one-dimensional equations of energy and continuity, the model predicts stage for a known steady-state discharge at specific locations, or cross sections, along the river corridor. This model uses 2,680 cross sections built with high-resolution digital topography of ground locations away from the river flowing at a discharge of 227 m3/s; synthetic bathymetry was created for topography submerged below the 227 m3/s water surface. The synthetic bathymetry was created by adjusting the water depth at each cross section up or down until the model?s predicted water-surface elevation closely matched a known water surface. This approach is unorthodox and offers a technique to construct one-dimensional hydraulic models of bedrock-controlled rivers where bathymetric data have not been collected. An analysis of this modeling approach shows that while effective in enabling a useful model, the synthetic bathymetry can differ from the actual bathymetry. The known water-surface profile was measured using elevation data collected in 2000 and 2002, and the model can simulate discharges up to 5,900 m3/s. In addition to the hydraulic model, GIS-based techniques were used to estimate virtual shorelines and construct inundation maps. The error of the hydraulic model in predicting stage is within 0.4 m for discharges less than 1,300 m3/s. Between 1,300-2,500 m3/s, the model accuracy is about 1.0 m, and for discharges between 2,500-5,900 m3/s, the model accuracy is on the order of 1.5 m. In the absence of large floods on the flow-regulated Colorado River in Grand Canyon, the new hydraulic model and the accompanying inundation maps are a useful resource for researchers interested in water depths, shorelines, and stage-discharge curves for flows within the river corridor with 2002 topographic conditions.

Study Area

Publication type Report
Publication Subtype USGS Numbered Series
Title Modeling Water-Surface Elevations and Virtual Shorelines for the Colorado River in Grand Canyon, Arizona
Series title Scientific Investigations Report
Series number 2008-5075
DOI 10.3133/sir20085075
Year Published 2008
Language English
Publisher U.S. Geological Survey
Contributing office(s) U.S. Geological Survey, Rocky Mountain Regional Office
Description vi, 32 p.
Country United States
State Arizona
Other Geospatial Colorado River, Grand Canyon
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