Question
Download Solution PDFA direct runoff hydrograph of triangular shape, caused by a storm, has a time base of 100 hours and the peak flow of 50 cumec occurring at 30 hours from the start. If the catchment area is 150 km2, the rainfall excess of the storm was _____________.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFExplanation:
Given Data:
Time base of the hydrograph (): 100 hours = 360,000 seconds
Peak flow (Qp): 50 cumecs (cubic meters per second)
Time to peak (Tp): 30 hours from the start.
Catchment area (A): 150 km² = 150 x 106m²
Calculation:
1. Volume of Direct Runoff (V):
The volume of direct runoff can be calculated by finding the area under the triangular hydrograph using the formula:
\(V = \frac{1}{2} \times Q_p \times T_b \)
\(V = \frac{1}{2} \times 50 \times 360000 \) = 9,000,000 m3
2. Rainfall Depth ( h):
The rainfall depth h in meters is calculated using the formula:
\(h = \frac{V}{A} \)
\(h = \frac{9,000,000}{150 \times 10^6} = 0.06 \, \text{m} = 6 \, \text{cm} \)
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