onlinerouting07:   Clark unit hydrograph 


Formulas

Q = Ij * Ak             Convolution (See text example).

O2 = C0I2 + C1I1 + C2O1        C0 = (Δt/K)/[2+(Δt/K)]

C1 = C0        C2 = [2-(Δt/K)]/[2+(Δt/K)]

Reference


INPUT DATA:

Unit hydrograph duration tr (hr):     2          Time interval Δt (hr):     1          Storage constant K (hr):     2

Number of increments of [watershed] drainage area:     4

Increments of [watershed] drainage area Ak (km2):     10,30,20,40


SAMPLE OUTPUT:

Time interval"; Time (hr)"; Outflow
(km2-cm/hr)
";
Outflow
(m3/s)
";
0 0 0 0
1 1 1 2.778
2 2 5.6 15.556
3 3 12.36 34.333
4 4 18.416 51.156
5 5 21.05 58.471
6 6 16.63 46.194
7 7 9.978 27.716
8 8 5.987 16.63
9 9 3.592 9.978
10 10 2.155 5.987
11 11 1.293 3.592
12 12 0.776 2.155
13 13 0.466 1.293
14 14 0.279 0.776
15 15 0.168 0.466
16 16 0.101 0.279
17 17 0.06 0.168
18 18 0.036 0.101
19 19 0.022 0.06
20 20 0 0


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