海南大学学报（自然科学版）2025，Vol.43Issue(4)：424-436,13.DOI:10.15886/j.cnki.hndk.2024111502
后峰型强降雨入渗解析解及斜坡稳定性分析
Analytical solution for delayed-peak heavy rainfall infiltration and slope stability assessment
摘要
Abstract
This study mechanistically investigats slope stability under delayed-peak heavy rainfall infiltration.We develop a theoretical framework for unsaturated soil seepage using the two-dimensional Richards equation,with exponential function models characterizing both soil-water characteristic curves and hydraulic conductivity functions.During intense rainfall events,flux boundary and constant pressure head boundary conditions were applied to simulate the complete infiltration and surface runoff phases,respectively.Through rigorous mathematical derivation,we obtained a spatiotemporal analytical solution for delayed-peak heavy rainfall infiltration that accounts for surface runoff dynamics.The proposed analytical solution was verified through finite element simulations using Geostudio-Seep/W software.Subsequently,the temporal-spatial evolution characteristics of slope stability under five distinct rainfall scenarios were systematically investigated employing Fredlund's dual-stress variable strength theory.The principal findings include:1)the initial rainfall phase significantly influences slope stability degradation;2)the runoff-to-total rainfall ratio positively correlates with rainfall intensity;and 3)the safety factor shows strong spatiotemporal coupling with pore water pressure distribution patterns.关键词
降雨入渗/后峰型强降雨/边坡稳定性/地表径流/解析解Key words
rainfall infiltration/delayed-peak heavy rainfall/slope stability/surface runoff/analytical solution分类
建筑与水利引用本文复制引用
范秋果,杨鑫,苏进臣,张友良,张海滨..后峰型强降雨入渗解析解及斜坡稳定性分析[J].海南大学学报（自然科学版）,2025,43(4):424-436,13.基金项目
国家自然科学基金项目(12262012) （12262012）
海南省院士创新平台项目(YSPTZX202320) （YSPTZX202320）
