CIV E 445 - APPLIED HYDROLOGY
SPRING 2003
DR. VICTOR M. PONCE
HOMEWORK 12, CHAPTER 10

Problem 12-1

A 85-km2 catchment has a 4-h concentration time, with isochrones at 1-h intervals resulting in the following time-area histogram:

Time (h) 0-1 1-2 2-3 3-4
Area (km2) 17 21 31 16

Use the time-area method to calculate the outflow hydrograph from the following storm pattern:

Time (h) 0-1 1-2 2-3 3-4 4-5 5-6
Total rainfall (cm/h) 1 2 5 4 3 1

The runoff curve number is CN = 81.

Problem 12-2

Use the Clark method to derive a 2-h unit hydrograph for a catchment with the following time-area diagram:

Time (h) 0-1 1-2 2-3 3-4 4-5 5-6
Area (km2) 20 40 60 40 24 16

Use Δt = 1 h and K = 3 h.

Problem 12-3

Use Example 10-3 in the text (cascade of linear reservoir) to test program EH1000A. Then route the effective rainfall hyetograph of Example 10-3 (with time interval Δt = 6 h) using: (a) K = 12 h and N = 4 and (b) K = 18 h and N = 5.

Problem 12-4

Use program EH1000A to route the following storm hyetograph through a 485-km2catchment.

Time (h) 0-6 6-12 12-18 18-24
Effective rainfall depth (cm) 0.75 1.0 2.0 1.0

Set K = 10 h and N = 4. Report peak outflow and time-to-peak.