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Generalization of rational formula method


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The current rational formula was generalized based on the assumption that both a unit hydrograph and a normalized rainfall hyetograph were approximated to the normal distribution. It was concluded that there were two cases of relation between the peak discharge and rainfall characteristics. The one is that the peak discharge is proportional to the maximum rainfall intensity when the drainage area is small; the other is that it is proportional to the total amounts of rainfall when the area is so large. In addition, under the condition that not only the rainfall but also the runoff coefficient are random variables, the frequency distribution of peak discharge was derived.



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