(a) At a stream gauging station, the following discharges and stage measurements were taken for the purpose of the rating curve at that section:
|
Stage (m)
|
1.81
|
2.00
|
2.30
|
2.90
|
3.70
|
4.50
|
5.40
|
6.10
|
7.30
|
7.70
|
8.10
|
|
Discharge (m3/s)
|
1.00
|
1.50
|
2.55
|
5.60
|
11.70
|
20.20
|
32.50
|
44.50
|
70.00
|
80.00
|
90.00
|
Derive the stage-discharge relationship of the form, Q = K (h - a)n where Q is the discharge, h is the stage, K and n are parameters to be determined. From the derived rating curve calculate the discharge for the stages of 4.9 m and 11.5 m
(b) The following data were obtained by stream gauging of a river at another station that experiences rising and falling stages:
|
Main gauge staff reading (m)
|
11.00
|
11.00
|
|
Auxiliary gauge staff reading (m)
|
10.55
|
10.05
|
|
Discharge (m3 / s)
|
8.60
|
14.10
|
What should be the discharge when the main gauge reads 11 m and the auxiliary gauge reads 10.25 m ?