onlinerouting03:   Storage-indication reservoir routing    ⇒   S = K On


Formulas

(2S2/Δt) + O2 = I1 + I2 + (2S1/Δt) - O1                   S = K On

Storage indication variable = [(2Si/Δt) + Oi]

Reference


INPUT DATA:

Number of corresponding sets of elevation-storage-outflow (E-S-O) array m:     7

Elevation Ei (m):     1070,1071,1072,1073,1074,1075,1076

Storage Si (m3):     0,1000000,2000000,3000000,4000000,5000000,6000000

Outflow Oi (m3/s):     0,17,48.08,88.33,136,190.07,249.85

Time interval Δt (hr):     1            Number of inflow hydrograph ordinates n:     14

Inflow hydrograph ordinates Ii:     17,20,50,100,130,150,140,110,90,70,50,30,20,17


SAMPLE OUTPUT:

Time
interval
Time
(hr)
Inflow
(m3/s)
2S/Δt - O 2S/Δt + O Outflow
(m3/s)
Elevation
(m)
0 0 17 538.556 572.556 17 1071.
1 1 20 541.238 575.556 17.159 1071.005
2 2 50 573.139 611.238 19.049 1071.066
3 3 100 673.183 723.139 24.978 1071.257
4 4 130 834.15 903.183 34.517 1071.564
5 5 150 1022.762 1114.15 45.694 1071.923
6 6 140 1195.853 1312.762 58.455 1072.258
7 7 110 1310.962 1445.853 67.446 1072.481
8 8 90 1367.274 1510.962 71.844 1072.59
9 9 70 1381.382 1527.274 72.946 1072.618
10 10 50 1358.988 1501.382 71.197 1072.574
11 11 30 1305.024 1438.988 66.982 1072.47
12 12 20 1232.405 1355.024 61.31 1072.329
13 13 17 1158.354 1269.405 55.526 1072.185
14 14 17 1091.713 1192.354 50.32 1072.056
15 15 17 1033.101 1125.713 46.306 1071.943
16 16 17 980.698 1067.101 43.201 1071.843
17 17 17 933.849 1014.698 40.425 1071.754
18 18 17 891.964 967.849 37.943 1071.674
19 19 17 854.516 925.964 35.724 1071.602
20 20 17 821.037 888.516 33.74 1071.539
21 21 17 791.105 855.037 31.966 1071.482
22 22 17 764.345 825.105 30.38 1071.431
23 23 17 740.42 798.345 28.962 1071.385
24 24 17 719.031 774.42 27.695 1071.344


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