onlinerouting08:   Cascade of linear reservoirs basin routing 


Formulas

C = Δt/K          C1 = C/(2+C)           C2 = (2-C)/(2+C)

Qj+1n+1 = 2C1(Qaverage)j + C2Qj+1n

Reference


INPUT DATA:

Basin area A (km2):     1000         Time interval Δt (hr):     6         Storage constant K (hr):     12         Number of reservoirs n:     3

Number of increments of [effective] rainfall intensity:     4

Increments of [effective] rainfall intensity Ij (cm/hr):     0.2,1.0,0.8,0.4


SAMPLE OUTPUT:

Time interval Time (hr) Outflow
(km2-cm/hr)
Outflow
(m3/s)
0 0 0 0
1 6 3.2 8.889
2 12 28.16 78.222
3 18 95.232 264.533
4 24 189.696 526.933
5 30 270.285 750.791
6 36 308.611 857.253
7 42 304.567 846.019
8 48 273.302 759.171
9 54 229.671 637.975
10 60 184.028 511.189
11 66 142.239 395.109
12 72 106.889 296.915
13 78 78.532 218.145
14 84 56.641 157.337
15 90 40.228 111.744
16 96 28.2 78.334
17 102 19.549 54.303
18 108 13.421 37.281
19 114 9.136 25.379
20 120 6.173 17.148
21 126 4.143 11.51
22 132 2.765 7.68
23 138 1.835 5.097
24 144 1.212 3.366
25 150 0.797 2.214
26 156 0.522 1.45
27 162 0.341 0.946
28 168 0.221 0.615


            


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