CIV E 634 - SURFACE WATER HYDROLOGY
SPRING 2003
HOMEWORK 3: RUNOFF CURVE NUMBER
For the attached measured precipitation-runoff data (in) (series of annual maxima) for watershed 68013 (WS-13) in
Reynolds, Idaho, develop a computer program or spreadsheet to calibrate the runoff curve number, i.e., to find the runoff curve
number that best fits the data.
- The criterion to choose the curve number should be the minimum root mean square (rms), i.e., the value of curve number (in the
possible range 1 ≤ CN ≤ 100) which minimizes the root mean square of the deviations between calculated and measured runoff.
- The rms of the deviations is obtained by squaring the deviations, finding the mean of the squares, and taking the root of the
mean of the squares.
- Use Eq. 5-8 of the text to calculate runoff.
- Generate a table of curve numbers, from 1 to 100, and corresponding values of rms.
- Identify and print the minimum rms and corresponding CN.
Event | Precipitation (in) | Runoff (in) |
01 | 0.980 | 0.0139 |
02 | 0.842 | 0.1162 |
03 | 0.220 | 0.0117 |
04 | 1.720 | 0.1614 |
05 | 0.300 | 0.0180 |
06 | 0.570 | 0.0758 |
07 | 0.571 | 0.1060 |
08 | 0.910 | 0.3275 |
09 | 0.070 | 0.0471 |
10 | 0.210 | 0.0714 |
11 | 0.220 | 0.1649 |
12 | 0.080 | 0.0121 |
13 | 0.760 | 0.0761 |
14 | 0.160 | 0.0047 |
15 | 0.150 | 0.0051 |
16 | 0.360 | 0.0074 |
17 | 0.360 | 0.0366 |
18 | 0.690 | 0.0620 |
|