Homework No. 8

CE322 Basic Hydrology
Jorge A. Ramirez
Homework No. 8
Due on Wednesday, May 3, 2000

Problem 1. Use the Level-Pool (storage-indication) Method to route the Input hydrograph tabulated below.

Time (h)	Input Hydrograph (m³/s)	Time (h)	Input Hydrograph (m³/s)
0	0	90	450
6	50	96	330
12	120	102	280
18	225	108	210
24	300	114	160
30	525	120	110
36	700	126	90
42	1100	132	50
48	1500	138	30
54	1475	144	20
60	1300	150	15
66	1100	156	10
72	900	162	0
78	750
84	600

This hydrograph flows into a reservoir whose storage and discharge characteristics are as presented in the following table. The initial storage in the system is 1'000,000 m³, and the initial outflow is 20 m³/s.

H (m)	O (m3/s)	S (m3)
130	20	1000000
131	39	2150000
132	76	4300000
133	148	8450000
134	289	16600000
135	561	33000000
136	1092	64500000
137	2127	129000000
138	4143	257000000

Problem 2. Using the information tabulated below for a river reach, estimate the Muskingum parameters k and x. The initial storage in the reach is 6'000,000 m³.

Time (d)	Inflow (m³/s)	Output (m³/s)

1	180.	160.
2	270.	200.
3	420.	280.
4	650.	415.
5	890.	590.
6	1100.	770.
7	1270.	950.
8	1360.	1090.
9	1380.	1180.
10	1390.	1250.
11	1370.	1280.
12	1350.	1290.
13	1310.	1300.
14	1260.	1280.
15	1210.	1250.
16	1160.	1220.
17	1100.	1190.
18	1000.	1150.
19	950.	1100.
20	900.	1040.
21	790.	980.
22	710.	920.
23	650.	860.
24	590.	790.
25	510.	710.
26	450.	650.
27	380.	590.
28	300.	510.

Using the estimated parameters and using a Dt of 1 day, estimate C_o, C₁, and C₂, and then route the original inflow hydrograph. Compare the observed outflow with that predicted using the Muskingum method..