Maximum rainfall and runoff depths (in cm) of a catchment spanning a period of 21 years are given below. Analyze the data to: Year Runoff cm 54 45 51 41 21 32 66 25 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 Rain cm 118 98 112 97 84 91 138 89 104 80 97 75 107 75 93 129 153 92 84 121 95 42 11 32 17 32 15 28 48 76 27 18 52 26 1) Calculate the exceedance probability, p and recurrence interval, Tp (years) of the observed data using Weibull distribution p = m/(n+1). 2) Develop a regression equation to estimate the return period for a given runoff and rainfall value. 3) Estimate the runoff and rainfall depth for 5, 10, 25, 100 and 500 return periods using the equations derived from question #2. NB Report your answers in three significant digits.

Maximum rainfall and runoff depths (in cm) of a catchment spanning a period of 21 years are given below. Analyze the data to: Year Runoff cm 54 45 51 41 21 32 66 25 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 1985 1986 1987 1988 1989 1990 1991 1992 1993 1994 1995 Rain cm 118 98 112 97 84 91 138 89 104 80 97 75 107 75 93 129 153 92 84 121 95 42 11 32 17 32 15 28 48 76 27 18 52 26 1) Calculate the exceedance probability, p and recurrence interval, Tp (years) of the observed data using Weibull distribution p = m/(n+1). 2) Develop a regression equation to estimate the return period for a given runoff and rainfall value. 3) Estimate the runoff and rainfall depth for 5, 10, 25, 100 and 500 return periods using the equations derived from question #2. NB Report your answers in three significant digits.

Fundamentals of Geotechnical Engineering (MindTap Course List)

5th Edition

ISBN:9781305635180

Author:Braja M. Das, Nagaratnam Sivakugan

Publisher:Braja M. Das, Nagaratnam Sivakugan

Chapter8: Stresses In A Soil Mass

Section: Chapter Questions

Problem 8.14P

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Concept explainers

Probability, risk and uncertainty analysis for hydrological design

It gives a framework that is financially critical for finding the exceptional designs of hydrological systems with a reduced cost in total inclusive of the project cost and the disaster mitigation cost. But there would be hardly any assessment of a decent quality damage function. Hence, errors in demonstrating the hydrologic events, incorrect model parameters, and so on may occur. Here, we will discuss a specific hydrological design that of a detention basin for studying and understanding the risk-based procedure, uncertainties, and probability analysis by following a systematic framework.

Question

Maximum rainfall and runoff depths (in cm) of a catchment spanning a period of 21 years are given below. Analyze the data to:
Year
Rain
Runoff
cm
cm
1975
118
54
1976
98
45
1977
112
51
1978
97
41
1979
84
21
1980
91
32
1981
138
66
1982
89
25
1983
104
42
1984
80
11
1985
97
32
1986
75
17
1987
107
32
1988
75
15
1989
93
28
1990
129
48
1991
153
76
1992
92
27
1993
84
18
1994
121
52
1995
95
26
1) Calculate the exceedance probability, p and recurrence interval, Tp (years) of the observed data using Weibull distributionp = m/(n+1).
2) Develop a regression equation to estimate the return period for a given runoff and rainfall value.
3) Estimate the runoff and rainfall depth for 5, 10, 25, 100 and 500 return periods using the equations derived from question #2.
NB Report your answers in three significant digits.

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