Homework 1

Due on February 16

Jorge A. Ramirez

1. The following is the observed effective rainfall hyetograph from a given basin:

Time (h)

0 - 6

6 - 12

12 - 18

18 - 24

Average Intensity (cm/h)

1.0

2.0

3.0

4.0

The corresponding direct runoff discharge hydrograph is:

Time (h)

6

12

18

24

30

36

42

48

54

Direct Runoff (m3/s)

1916

5995

11633

17513

13836

7113

1235

384

371

 

  1. Use the Least-Squares approach to estimate the U.H. corresponding to this situation.
  2. Use the Method of Moments to estimate the parameters of the Nash model for this situation.
  3. Use the Method of Moments to estimate the parameters of the Linear Reservoir - Linear Channel model for this situation.
  4. Derive a 6-h unit hydrograph from the results obtained in part b).
  5. Compare the hydrographs that would be predicted with b) and c) for the rainfall hyetograph tabulated below.
  6. Compare results a) and e) both in terms of the U.H. and the predicted hydrograph.
  7. What is the surface area of this basin?

Time (h)

0 - 6

6 - 12

12 - 18

Average Intensity (cm/h)

1.5

1.0

0.5