Stream flow gauging, Applied Statistics

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(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 ?


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