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.


  1. 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.

  2. 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.

  3. Use Eq. 5-8 of the text to calculate runoff.

  4. Generate a table of curve numbers, from 1 to 100, and corresponding values of rms.

  5. Identify and print the minimum rms and corresponding CN.

 

EventPrecipitation (in)Runoff (in)
010.9800.0139
020.8420.1162
030.2200.0117
041.7200.1614
050.3000.0180
060.5700.0758
070.5710.1060
080.9100.3275
090.0700.0471
100.2100.0714
110.2200.1649
120.0800.0121
130.7600.0761
140.1600.0047
150.1500.0051
160.3600.0074
170.3600.0366
180.6900.0620