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

doi:10.13438/j.cnki.jdzk.2025.02.005

Journal of Jishou University(Natural Sciences Edition) ›› 2025, Vol. 46 ›› Issue (2): 39-44.DOI: 10.13438/j.cnki.jdzk.2025.02.005

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

XIONG Xuanyu,QIN Weixing,XU Ruilin,HU Huiren,CHEN Jian,WU Yihan

(1.School of Hydraulic and Environmental Engineering,Changsha University of Science & Technology,Changsha 410114,China;2.Key Laboratory of Water-Sediment Sciences and Water Disaster Prevention of Hunan Province,Changsha 410114,China;3.College of Civil Engineering and Architecture,Zhejiang University,Hangzhou 310056,China;4.School of Traffic & Transportation Engineering,Changsha University of Science & Technology,Changsha 410114,China;5.International College of Engineering,Changsha University of Science & Technology,Changsha 410114,China)

Online:2025-03-25 Published:2025-04-30

Abstract

Abstract: 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.

Key words: unsaturated soil, homogeneous foundation, transient matrix suction, rainfall infiltration, analytical solution

XIONG Xuanyu, QIN Weixing, XU Ruilin, HU Huiren, CHEN Jian, WU Yihan. Analytical Solution of Transient Matrix Suction for Homogeneous Foundation Under Medium-Peak Rainfall Infiltration[J]. Journal of Jishou University(Natural Sciences Edition), 2025, 46(2): 39-44.

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

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