The time of rise of flood hydrographs (Tr), defined as the time for a stream to rise from low water to maximum depth following a storm, is related to the stream length (L) and the average slope (S). From the information given below for 11 watersheds in Texas, New Mexico, and Oklahoma, derive a functional relation of the form Tr= aLbSc.
Watershed number | Tr (min) | L (1000 ft) | S (ft y 1000 ft) |
1 | 150 | 18.5 | 7.93 |
2 | 90 | 14.2 | 19.0 |
3 | 60 | 25.3 | 12.0 |
4 | 60 | 11.7 | 13.3 |
5 | 100 | 9.7 | 11.0 |
6 | 75 | 8.1 | 15.0 |
7 | 90 | 21.7 | 16.7 |
8 | 30 | 3.9 | 146.0 |
9 | 30 | 1.2 | 20.0 |
10 | 45 | 3.3 | 64.0 |
11 | 50 | 3.5 | 33.0 |
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