基于改进二分法的马斯京根法入流过程反演分析

Inversion Analysis of Inflow Process Using Muskingum Method Based Improved Bisection Method

针对马斯京根法反演洪水过程中一般反演单峰洪水过程,较少考虑双峰或多峰洪水过程,在分析总结马斯京根法反演中存在锯齿状、正负交错甚至无法继续计算的问题及改进方法的基础上,提出改进的二分法以解决双峰甚至多峰的洪水过程反演,并将其应用于浙江省飞云江干流马屿站的洪水过程反演中。结果表明,除个别出流误差较大外(超过10%),大部分出流误差在5%以内,基本达到水文计算的精度要求,同时入流总量与出流总量近似相等,基本满足水量平衡,反演结果合理,可用于入流过程的反演计算。

For situations of double-peak or multi-peak flood process being considered little in the inflow process inversion based on Muskingum,the unreasonable phenomenon of serration,positive and negative cross and even unable to continue computing as well as corresponding improvement methods are analyzed.And then the improved bisection method applicable for the double-peak or the multi-peak flood process in the inflow process inversion is put forward and applied to the case of Mayu Station located on the main stream of Feiyun River in Zhejiang Province.The result of the case study shows that most errors of outflow are within 5%in spite of very few more than 10%,which basically meets precision requirement of hydrological computation.In addition,the amount of total inflow is approximately equal to that of outflow which reaches the water balance on the whole.Above all,the reasonable result implies that this method can be applied to the inversion analysis of inflow process.