Section 378.APPENDIX C
Discharge and Travel Time Estimation
The Illinois State Water Survey,
in a publication entitled, "Hydraulic Geometry of Illinois Streams,"
(by J.B. Stall and Y.S. Fok, WRC Research Report 15, 1968) provides a method of
predicting discharge and average stream velocity in stream basins as a function
of drainage area. The equations are listed below. Where an equation is not
listed for the basin of interest, the statewide composite equations may be
used. Drainage areas can be obtained from the U.S. Geological Survey report
entitled "River Mileages and Drainage Areas for Illinois Streams - Volumes
1 and 2," (by R. W. Healy, Water Resources Investigation 79-110 and
79-111, 1979).
Hydraulic
Geometry Equations for Illinois River Basins
Description of Units
Q = discharge in cubic feet per second (cfs)
V = average velocity in feet per second (fps)
Ad = drainage area in square miles
F = frequency in percent of days, as a decimal
1n denotes that all logarithms are natural logarithms to the base
e = 2.718
Statewide Composite Equations
1n Q = 1.176 - 5.22 F + 0.984
1n Ad (cfs)
1n V = 0.103 - 1.81 F + 0.158
1n Ad (fps)
|
|
Rock River
|
Des Plaines River
|
1n Q = 0.24 - 3.50 F + 1.03 1n
Ad
1n V = 0.20 - 1.50 F + 0.13 1n
Ad
|
1n Q = 1.78 - 4.98 F + 0.90 1n
Ad
1n V = 0.26 - 1.31 F + 0.08 1n
Ad
|
Galena River
|
Kankakee River
|
1n Q = 0.13 - 2.27 F + 0.96 1n
Ad
1n V =-0.06 - 0.81 F + 0.06 1n
Ad
|
1n Q = 1.41 - 5.12 F + 0.96 1n
Ad
1n V =-0.38 - 1.19 F + 0.17 1n
Ad
|
Fox River
|
Vermilion River (Illinois
River Basin)
|
1n Q =-0.24 - 3.33 F + 1.13 1n
Ad
1n V = 0.11 - 1.39 F + 0.16 1n
Ad
|
1n Q = 0.97 - 6.28 F + 1.01 1n
Ad
1n V =-0.20 - 2.19 F + 0.17 1n
Ad
|
Mackinaw River
|
Kaskaskia River
|
1n Q = 1.39 - 7.52 F + 1.00 1n
Ad
1n V = 0.38 - 2.26 F + 0.09 1n
Ad
Henderson Creek
|
1n Q = 0.95 - 5.88 F + 1.02 1n
Ad
1n V =-0.26 - 1.28 F + 0.14 1n
Ad
Vermilion River (Wabash River
Basin)
|
1n Q = 1.44 - 5.00 F + 0.89 1n
Ad
1n V = 0.58 - 1.76 F + 0.01 1n
Ad
|
1n Q = 1.11 - 4.96 F + 0.98 1n
Ad
1n V =-0.81 - 2.20 F + 0.29 1n
Ad
|
Spoon River
|
Embarras River
|
1n Q = 0.86 - 4.82 F + 1.00 1n
Ad
1n V = 0.52 - 1.63 F + 0.08 1n
Ad
|
1n Q = 0.04 - 5.61 F + 1.17 1n
Ad
1n V =-0.92 - 1.62 F + 0.26 1n
Ad
|
LaMoine River
|
Little Wabash River
|
1n Q = 1.03 - 5.60 F + 0.92 1n
Ad
1n V =-0.13 - 1.16 F + 0.11 1n
Ad
|
1n Q = 1.91 - 7.90 F + 0.96 1n
Ad
1n V =-1.38 - 1.18 F + 0.30 1n
Ad
|
Sny River
|
Big Muddy River
|
1n Q =-2.27 - 5.87 F + 1.63 1n
Ad
1n V =-1.29 - 1.06 F + 0.39 1n
Ad
|
1n Q = 1.26 - 8.50 F + 1.09 1n
Ad
1n V =-0.75 - 1.47 F + 0.18 1n
Ad
|
Sangamon River
|
Big Bay Creek
|
1n Q = 0.65 - 4.93 F + 1.03 1n
Ad
1n V =-1.01 - 0.95 F + 0.26 1n
Ad
|
1n Q = 1.48 - 7.90 F + 1.05 1n
Ad
1n V =-0.53 - 0.41 F + 0.14 1n
Ad
|