马斯京根法参数C0、C1、C2取值范围的确定

马斯京根法是一种应用较广的河道洪水流量演算方法,传统上是根据蓄量常数K、槽蓄系数x和计算时段Δt来计算马斯京根法参数C0、C1、C2,然后利用C0、C1、C2进行洪水流量演算。不过目前可以利用优化算法直接确定C0、C1、C2的取值,但是在确定C0、C1、C2的值之前需要给定C0、C1、C2的取值范围。因此首先确定蓄量常数K、槽蓄系数x和计算时段Δt的取值范围,再利用多元函数求极值的方法,首次给出了马斯京根法参数C0、C1、C2的取值范围。由于该取值范围较大,在实际应用中可根据x的取值范围来进一步缩小参数C0,C1,C2的取值范围。此方法在马斯京根法参数优化中具有重要的指导意义。

Determination of the value ranges of parameters C0,C1,and C2 of Muskingum Method

Muskingum method is widely used in the calculation of flood routing.The principle of this method is to use the parameters of storage constant K,storage coefficient x,and time step Δt to compute the Muskingum parameters C0,C1,and C2,and then to use the three parameters for the calculation of flood routing.Now,an optimization algorithm can be used to determine the parameters C0,C1,and C2,but the value ranges of the three parameters should be given first.In this paper,the value ranges of the parameters K,x,and Δt were designated first,and then the value ranges of the parameters C0,C1,and C2 of the Muskingum method were determined based on the method to obtain the extreme value of multivariable function.Due to the wide value ranges of the three parameters,the new value ranges were given for the practical applications based on x value range.The methed in this paper can provide instructive significance for the parameter optimization of the Muskingum method.