Improvement of rainfall boundary treatment based on the diffusion wave approximation equation

WANG Xu; DONG Mei; KONG Meng-yue; DENG Yun-peng; XU Ri-qing; GONG Xiao-nan

doi:10.16285/j.rsm.2022.1104

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Improvement of rainfall boundary treatment based on the diffusion wave approximation equation

更新时间：2026-06-25

- Improvement of rainfall boundary treatment based on the diffusion wave approximation equation
- Vol. 44, Issue 6, Pages: 1761-1770(2023)
- 作者机构：
  
  1. 浙江大学滨海和城市岩土工程研究中心,浙江,杭州,310058
  2. 杭州良渚古城遗址世界遗产监测管理中心,浙江,杭州,311113
- 作者简介：
- 基金信息：
- DOI：10.16285/j.rsm.2022.1104
  CLC： TU43;P642.22
- Online First：17 June 2023，
  
  Published：2023
- 稿件说明：
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WANG Xu, DONG Mei, KONG Meng-yue, et al. Improvement of rainfall boundary treatment based on the diffusion wave approximation equation[J]. 2023, 44(6): 1761-1770.
DOI：

WANG Xu, DONG Mei, KONG Meng-yue, et al. Improvement of rainfall boundary treatment based on the diffusion wave approximation equation[J]. 2023, 44(6): 1761-1770. DOI： 10.16285/j.rsm.2022.1104.

摘要

在降雨入渗模拟中，传统的降雨边界不能准确地反映坡面积水深度变化对坡面实际入渗率的影响。基于扩散波近似方程改进了传统的降雨边界，使得在强降雨条件下坡面积水深度动态变化可以和实际入渗率进行耦合计算，并且通过两个经典试验验证了改进边界的准确性。后将该改进边界用于工程实例计算，结果表明：（1）改进的降雨边界可以实现集中型降雨条件下流量边界与压力水头边界的实时动态转换；（2）当降雨边界为压力水头边界时，改进边界计算出的理论上坡面积水深度最深的位置出现在坡趾处；在降雨后期坡面退水阶段，积水深度可忽略不计，理论上积水深度最深的位置出现在平坦坡面与陡峭坡面的交汇处。

Abstract

During the simulation of rainfall infiltration

the conventional rainfall boundary cannot accurately reflect the influence of the variation of ponding water depth on the actual rainfall infiltration calculation. To address this issue

the conventional rainfall boundary is improved by incorporating the diffusion wave approximation equation

which allows for the coupling of ponding water depth variations with actual infiltration during heavy rainfall events. To confirm the precision of the improved boundary

two classical experimental cases are tested. The improved boundary is subsequently applied to the simulation of an actual engineering scenario. It is revealed that: (1) the improved rainfall boundary is capable of achieving real-time dynamic conversion between flow and pressure boundaries; (2) when the rainfall boundary functions as the pressure head boundary

the location with the theoretically deepest ponding water depth on the slope surface

as calculated by the improved boundary

manifests at the slope toe. Conversely

when the rainfall boundary serves as the flow boundary during the later stages of rainfall

the ponding water depth becomes negligible

and the location with the theoretical deepest ponding water depth arises at the intersection of the flat slope surface and the steep surface.

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