中峰型降雨条件下均质地基瞬态基质吸力解析解  

Analytical Solution of Transient Matrix Suction for Homogeneous Foundation Under Medium-Peak Rainfall Infiltration

作　　者：熊轩宇 秦卫星[1,2] 徐瑞麟 胡惠仁 陈检 吴亦晗 XIONG Xuanyu;QIN Weixing;XU Ruilin;HU Huiren;CHEN Jian;WU Yihan(School of Hydraulic and Environmental Engineering,Changsha University of Science&Technology,Changsha 410114,China;Key Laboratory of Water-Sediment Sciences and Water Disaster Prevention of Hunan Province,Changsha 410114,China;College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310056,China;School of Traffic&Transportation Engineering,Changsha University of Science&Technology,Changsha 410114,China;International College of Engineering,Changsha University of Science&Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学水利与环境工程学院,湖南长沙410114 [2]水沙科学与水灾害防治湖南省重点实验室,湖南长沙410114 [3]浙江大学建筑工程学院,浙江杭州310056 [4]长沙理工大学交通运输工程学院,湖南长沙410114 [5]长沙理工大学国际工学院,湖南长沙410114

出　　处：《吉首大学学报(自然科学版)》2025年第2期39-44,共6页Journal of Jishou University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(51208062,51508039);湖南省自然科学基金资助项目(2022JJ30601)。

摘　　要：为了揭示中峰型降雨入渗对地基基质吸力时空分布的影响,从瞬态非饱和渗流控制方程出发,引入Gardner水力特征函数,构建了降雨条件下地基水分迁移模型.利用Fourier积分变换法求解模型,获得了中峰型降雨入渗过程地基瞬态基质吸力解析解.该解析解建立了地基基质吸力与降雨特征参数之间的映射关系,通过其得到了中峰型降雨条件下地基任意位置的基质吸力演化规律.In order to reveal the influence of medium-peak rainfall infiltration on the spatial-temporal distribution of matrix suction,the Gardner soil-water characteristic function is introduced to simplify the Richards transient unsaturated seepage equation and to establish a water transport model for a homogeneous foundation under medium-peak rainfall infiltration.Fourier integral transform is used to obtain a analytical solution of the transient matric suction during rainwater infiltration under medium-peak rainfall.The analytical solution establishes the mapping relationship between the matric suction of unsaturated foundation and the rainfall characteristic parameters,which provides a theoretical method for quickly and accurately obtaining the matrix suction and its evolution law at any position of the foundation during the infiltration process of central-peaked pattern.

关 键 词：非饱和土 均质地基 瞬态基质吸力 降雨入渗 解析解 

分 类 号：TU43[建筑科学—岩土工程]