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The 4-hr unit hydrograph for a watershed is given as below. Time (hr) 2 4 6 8 10 12 14 Unit hydrograph (m3/s/10 mm) A design

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The 4 - hr unit hydrograph for a watershed is given.

A design storm has 1.5 cm/hr in first 2 hr and 1.0 cm/hr in the second 2 hr. The abstraction rate is 0.5 cm/hr. Base flow is 10 m3/s.

Time (hr) 4 hr \mho H 4 hr logged Unit hydrograph sum
0 0 0
2 15 15
4 45 0 45
6 65 15 80
8 50 45 0 95
10 25 65 15 105
12 10 50 45 0 105
14 0 25 65 15 105
10 50 45 105
0 25 65
10 50
0 25
10
0
Time (hr) S-Curve ordinate S-Curve lagged 2 hr Difference 2HR UH
0 0 0 0 30
2 15 15 15 60
4 45 45 30 70
6 80 80 35 30
8 95 95 15 20
10 105 105 10 0
12 105 105 0 0
14 105 105 0

Calculate the total runoff hydrograph.

Given R1 = 2 \times 1 cm/hr = 2 cm = 20 mm

R2 = 2 \times 0.5 cm\hr = 1 cm = 10 mm

Time (hr) UH R1\mho 2x\mho R2\mho R1\mho+ R2\mho Base flow + R1\mho+ R2\mho
0 0 0 0 0 10
2 15 30 0 30 40
4 45 90 15 105 115
6 65 130 45 175 185
8 50 100 65 165 175
10 25 50 50 100 110
12 10 20 25 50 60
14 0 0 10 10 20
0 0 10

Coordinates of total run off hydrograph = flood hydrograph.

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