ABSTRACT

Muskingum models are a type of hydrological flood routing approach and vary only in the form of storage relationship. The storage relationship was first established based on the weighted arithmetic mean. The weighted arithmetic averaging used in the classical linear Muskingum models is not the only way to express the storage in the river reach. This study proposes a generalized Muskingum model by establishing the storage using the weighted power mean between the storage volumes due to the inflow and outflow. All traditional models are special cases of the proposed model. The proposed model reduces to four novel storage equations that have not been reported before. The results show the proposed models (a) effectively capture the characteristics of the flood wave, (b) lead to results with higher efficiency compared to the traditional Muskingum models and (c) make it possible to select the most efficient model for a given river.

摘要

Muskingum 模型是一种水文洪水演算方法，仅在存储关系的形式上有所不同。首先根据加权算术平均值建立存储关系。经典线性 Muskingum 模型中使用的加权算术平均并不是表示河段蓄水量的唯一方法。本研究通过使用流入和流出存储量之间的加权功率平均值来建立存储，提出了广义 Muskingum 模型。所有传统模型都是所提出模型的特例。提出的模型减少到四个以前没有报道过的新存储方程。结果表明，所提出的模型（a）有效地捕捉了洪水波的特征，