CAPE PENINSULA UNIVERSITY OF TECHNOLOGY
FACULTY OF ENGINEERING & THE BUILT ENVIRONMENT
DEPARTMENT OF CIVIL ENGINEERING AND GEOMATICS
HMG582S
HYDROLOGICAL ANALYSIS & MODELLING
TUTORIAL 2
Question 1
A reservoir has the following storage and spillway discharge characteristics:
Water level (H)
(m)
297.00
297.25
297.50
297.75
298.00
Spillway discharge (Q)
(m3/s)
0
140
520
810
1070
Storage (S) above spillway
(106 m3)
0
0.445
0.895
1.345
1.800
Assuming the water level is initially at 297.00, determine for the following inflow hydrograph the
peak spillway discharge and when it occurs. [40 marks]
Time
(h)
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
Inflow
(m3/s)
0
20
50
275
570
840
1000
880
680
500
350
Page 1 of 3
Question 2
a) The table below gives average daily discharges measured simultaneously at two sites some
distance apart on the same river. Determine the Muskingum K (in hours) and X. (Note, K and
t must be in same units) [30 marks]
Time
(h)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
Upstream Site
(m3/s)
0
60
120
180
240
300
364
446
530
613
696
776
855
932
948
932
914
911
921
941
958
975
982
980
969
Downstream Site
(m3/s)
0
0
13
42
81
127
178
231
293
363
437
514
593
672
757
822
861
879
888
897
910
924
940
954
964
Time
(h)
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
Upstream Site
(m3/s)
951
925
890
852
810
767
717
668
618
566
514
462
410
359
309
261
248
238
229
222
216
210
205
199
194
Downstream Site
(m3/s)
968
965
956
938
919
884
851
812
769
725
677
629
579
528
478
427
373
332
302
278
260
246
235
225
217
b) Using this information and Muskingum routing method, determine the average daily outflow
discharge (Q) hydrograph at the downstream site corresponding to the following inflow
sequence measured at the upstream site. Assume the initial outflow discharge (Q) is 100
m3/s. [30 marks]
Page 2 of 3
Time
(day)
1
2
3
4
5
6
7
8
9
10
11
12
13
Inflow Discharge
(m3/s)
121
217
316
474
611
593
752
1303
1698
1635
1359
976
613
Time
(day)
14
15
16
17
18
19
20
21
22
23
24
25
Inflow Discharge
(m3/s)
982
1279
1392
1169
958
581
417
324
263
222
176
172
Question 3
Discuss the following:
a)
b)
c)
d)
What is flow routing? [0 mark]
Why route flows? [0 mark]
Differentiate hydrologic routing from hydraulic routing [0 mark]
Differentiate river routing from reservoir routing [0 mark]
Page 3 of 3