Preliminary Analysis of Effects of IWHR Rational Formula on Data Error Propagation
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Abstract:
In order to analyze the transmission function of the rational formula on the substituting data error, the principles and methods of error analysis in numerical analysis were applied to derive the condition numbers of the confluence parameter, river longitudinal slope, loss parameter, and rainstorm parameter when the IWHR? rational formula was used to calculate the design peak flow of small watershed. The magnitudes of these condition numbers can characterize the intensity of transmission function of the rational formula on the data error in computing the design peak flow. In this paper, three practical examples were introduced to obtain the variation curves of each condition number with the disturbance of substituting data. The results showed that: 1) the accuracies of rainstorm parameter n and confluence parameter m have large effects on the accuracy of the results of peak flow; and 2) the accuracies of loss parameter μ and river longitudinal slope I have low impacts on the accuracy of the results of peak flow.
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