GATE CE 2019 Set 1 — Question 59
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Water Resources Engineering → Hydrology & Precipitation → Infiltration
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Question
The hyetograph of a storm event of duration 140 minutes is shown in the figure.
The infiltration capacity at the start of this event () is 17 , which linearly decreases to 10 after 40 minutes duration. As the event progresses, the infiltration rate further drops down linearly to attain a value of 4 at minutes and remains constant thereafter till the end of the storm event. The value of the infiltration index, (in , round off to 2 decimal places), is ________
Correct answer
7 to 7.3
Solution
1.Calculate Total Rainfall (P):
The rainfall intensities for 20-minute intervals are: 4, 8, 15, 10, 8, 3, 1 mm/hr.mm.
2.Calculate Actual Infiltration ():
Infiltration capacity decreases from 17 to 10 (0-40 min), then 10 to 4 (40-100 min), then constant 4 (100-140 min).Actual infiltration .
- 0-20 min: . Vol = mm.
- 20-40 min: . Vol = mm.
- 40-60 min: . Vol = mm.
- 60-80 min: . Vol = mm.
- 80-100 min: . Vol = mm.
- 100-120 min: . Vol = mm.
- 120-140 min: . Vol = mm.
3.Calculate Runoff (R):
mm.4.Find -index:
is the constant rate such that for .Assuming , the intensities above are 8, 15, 10, 8.
mm/hr.
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