用Gumbel方法和Log-Pearson III型方法分析洪水历史和模拟未来洪水的性质:以印度Mayurakshi河流域为例

Pub Date : 2020-12-01 DOI:10.2478/bgeo-2020-0009
A. Islam, B. Sarkar
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引用次数: 12

摘要

自1860年以来,Mayurakshi河流域(MRB)的洪水就有了历史记载。后坝时期,特别是20世纪50年代后,三峡库区主要土木工程(Massanjore坝、Tilpara坝、Brahmani坝、Deucha坝和Bakreshwar堰)建成后,高震级、低频率洪水事件急剧转变为低震级、高频率洪水事件。本研究拟采用Gumbel和Log-Pearson III型(LP-III)极值法找出洪水频率的性质。结果表明:1957—2009年,蒂尔帕拉坝汛期洪级最高,为11327 m3 s−1,重现概率为1.85%;1956—1977年,巴克雷什瓦尔坝汛期洪级最低,为708 m3 s−1,重现概率为4.55%。在目前的努力中,我们计算了不同回归期的预测流量,如2年、5年、10年、25年、50年、100年和200年。分位数-分位数图显示,LP-III法计算的期望放电比Gumbel法更符合正态分布。此外,Kolmogorov-Smirnov (KS)检验、Anderson-Darling (AD)检验和x2分布表明,在0.01显著水平上,LP-III分布比Gumbel分布更符合正态分布,表明其在MRB洪水模拟中具有更高的可靠性和可接受性。
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Analysing flood history and simulating the nature of future floods using Gumbel method and Log-Pearson Type III: the case of the Mayurakshi River Basin, India
Abstract Floods of the Mayurakshi River Basin (MRB) have been historically documented since 1860. The high magnitude, low-frequency flood events have drastically changed to low magnitude, high-frequency flood events in the post-dam period, especially after the 1950s, when the major civil structures (Massanjore dam, Tilpara barrage, Brahmani barrage, Deucha barrage, and Bakreshwar weir) were constructed in the MRB. The present study intends to find out the nature of flood frequency using the extreme value method of Gumbel and Log-Pearson type III (LP-III). The results show that the highest flood magnitude (11,327 m3 s−1) was observed during 1957–2009 for the Tilpara barrage with a return probability of 1.85% and the lowest (708 m3 s−1) recorded by the Bakreshwar weir during 1956–77 with a return probability of 4.55%. In the present endeavour, we have computed the predicted discharge for the different return periods, like 2, 5, 10, 25, 50,100, and 200 years. The quantile-quantile plot shows that the expected discharge calculated using LP-III is more normally distributed than that of Gumbel. Moreover, Kolmogorov–Smirnov (KS) test, Anderson–Darling (AD), and x2 distribution show that LP-III distribution is more normally distributed than the Gumbel at 0.01 significance level, implying its greater reliability and acceptance in the flood simulation of the MRB.
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