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Using Remote Sensing to Estimate Water Resources from Glacial Melt Prof. Kenneth L. Verosub Dept of Geology University of California, Davis,
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Santiago and its mountains
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Rivers of Central Chile
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Glacial and Snow Melt
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Rivers and glaciers
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Rio Cruces discharge record
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Center of Volume Sierra Nevada (Calif.)
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Spring Fraction of Runoff Sierra Nevada (Calif.)
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Basic Hypothesis: Riverflows can be measured using only geospatial imagery.
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River Gauge
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Rating Curve
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An Alternate Approach Measure the width
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River Profile Use width to determine height from topographic profile. An Alternate Approach (con’t)
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Q = v A v = c (RS) 1/2 Basic flow equation: where Q is discharge, v is velocity and A is area Chezy equation: where c is a constant, R is hydraulic radius and S is the slope of the channel. Hydraulic radius is the area divided by the wetted perimeter.
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c = (1/n) R 1/6 Q = (1/n) A R 2/3 S 1/2 Manning Chezy equation: Manning equation: where n is the roughness coefficient. Note: A, R, and S can be determined from detailed topography or a DEM, and n can be estimated visually.
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GeoEye-1 5 spectral bands 40 cm resolution (visible) Commercial
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GeoEye: Coliseum in Rome
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GeoEye: Kansas City Airport
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Obtain topographic maps or DEMs (at low flow) from stereo image pairs, SRTM and/or Lidar. Determine topographic profile and slope for target site. Calculate other geometric parameters from width vs. depth relationship. Use Manning-Chezy Equation (and others) to calculate discharge as a function of width. Use regular imagery to determine flows at other dates/times. Basic Methodology
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Width vs. Depth
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Area (A) Perimeter Hydraulic Radius (R) Mean Depth (Ym) Width (W) vs. Depth Numerical integration of to obtain for any given depth.
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Half-width vs. Depth
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Q = (1/n) A R 0.67 S 0.5 Q = 7.1 A Y m 0.67 S 0.33 Q = 7.22 W 1.02 Y m 1.74 S 0.33 Q = 4.62 W 1.17 Y m 1.57 S 0.34 Bjerklie et al. equation: Dingman and Sharma equation: Manning (Bjerklie) equation: Manning Chezy equation:
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Mississippi at Thebes
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Width vs. Discharge Curve
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6/25/2006 12/27/2003 6/01/2007 3/8/2009 3/18/2006 a 6/4/2010 Cosumnes at Michigan Bar (CA) – Chronological
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6/25/2006 12/27/2003 6/01/2007 3/8/2009 3/18/2006 a 6/4/2010 Cosumnes at Michigan Bar (CA) – Sequential
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6/4/2010 32 6/25/2006 6.4 12/27/2003 9.7 6/01/2007 2.7 3/8/2009 29 3/18/2006 66 a Cosumnes at Michigan Bar (CA) – Sequential (II)
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a Cosumnes at Michigan Bar (CA) – Match-ups
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Increase spatial resolution of current monitoring efforts. Application – Monitoring Rivers
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April 2011 precipitation
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Measuring flows on the Mississippi River
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Increase spatial resolution of current monitoring efforts. Determine flows for critical times for sites where gauging stations have been lost or abandoned. Application – Monitoring Rivers
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Gauging stations are few and far between
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Increase spatial resolution of current monitoring efforts. Determine flows for critical times for sites where gauging stations have been lost or abandoned. Obtain new flow data from physically inaccessible areas, such as high mountains and deserts. Obtain new flow data from restricted areas, such as military bases and wilderness areas. Application – Monitoring Rivers
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Mountain runoff is poorly understood.
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Increase spatial resolution of current monitoring efforts. Determine flows for critical times for sites where gauging stations have been lost or abandoned. Obtain new flow data from physically inaccessible areas, such as high mountains and deserts. Obtain new flow data from restricted areas, such as military bases and wilderness areas. Combine with Lidar for total “state of the river” analysis. Application – Monitoring Rivers
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“State of the River” Murray-Darling Basin, Australia
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“State of the River” Murray-Darling Basin Commission website
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“State of the River” Yellowstone River Basin Lidar
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“State of the River” Yellowstone River Lidar corridor
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Application to Chile
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Gauging stations in Bio Bio province
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Period of dicharge record.
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Gracias.
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