Incorporation of the effect of concentration of flow into the kinematic wave equations and its applications to runoff system lumping

Incorporation of the effect of concentration of flow into the kinematic wave equations and its applications to runoff system lumping
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将流量集中效应纳入运动学波动方程及其在径流系统集总中的应用

DOI:
10.1016/0022-1694(88)90104-7
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发表时间:
1988
影响因子:
6.4
通讯作者:
M. Shiiba
M. Shiiba
中科院分区:
地球科学1区
文献类型:
--
作者:
T. Takasao;M. Shiiba

文献摘要

被引文献

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本文对通常的运动学波动方程进行了修正,以考虑具有均匀厚度A层覆盖曲面的山区流域地表流和地下流之间的相互作用。本文在运动波模型的基本方程中引入了一个表征流域地表几何形态的函数--几何模式函数,导出了地表-地下水流系统的深度-流量关系方程。当流域面呈线性收敛或发散时,其几何模式函数具有线性形式,本文给出了这种情况下的数值模拟,如果将几何模式函数作为运动波模型的一个新参数,则运动波模型将变得非常灵活。实际上,当横向入流在空间上是均匀的时,该模型可以作为一个简单的水系模型,利用这个简化模型,本文提出了一种将水系运动波流模型转化为集总径流模型的方法,我们称之为“水库梯级”模型。
The usual kinematic wave equations are revised to consider the interaction between surface flow and subsurface flow in mountainous watersheds having curved surfaces covered with A-layers of uniform thickness. A function which represents watershed surface geometry, which is called the geometric pattern function in the paper, is incorporated into the basic equations of the kinematic wave model, and the depth-flow relation equation for the surface-subsurface flow system is derived. When the watershed surface is linearly converging or diverging, its geometric pattern function has a linear form, and numerical simulations for such cases are given here.If the geometric pattern function is regarded as a new parameter of the kinematic wave model, then the kinematic wave flow model becomes very flexible. In fact, when the lateral inflow is spatially uniform, the model may be used as a simple model of a stream network system.Using this simplified model, a method of transformation of the kinematic wave flow model of a stream system into a lumped runoff model, which we call a “reservoir cascade” model, is developed.