地震工程学报2025，Vol.47Issue(3)：522-528,7.DOI:10.20000/j.1000-0844.20230914001
单层非饱和不可压缩多孔介质一维瞬态响应精确解
Exact solution for the one-dimensional transient response of single-layer incompressible unsaturated porous media
摘要
Abstract
The exact solution for incompressible and unsaturated porous media has not been pro-vided in the current literature.Thus,an exact solution was derived in the present study for the transient response of single-layer,incompressible,and unsaturated porous media in one-dimen-sion conditions with typical boundary conditions based on the wave equations for unsaturated por-ous media proposed by Zienkiewicz.The inertial,viscous,and mechanical couplings were consid-ered in the proposed solution.Taking the relative displacement of the liquid phase fluid as an in-dependent variable,the dimensionless governing equations were first derived,and the eigenvalue and eigenfunction of the undamped system were given.Then,the original problem was trans-formed into the initial value problem for a set of second-order ordinary differential equations based on the constant-transform method and the orthogonality of eigenfunctions.The resulting problem was then solved using the state-space approach.Through this process,the exact solu-tions for displacement and stress of the original problem were obtained.The correctness of the so-lutions was verified by comparing them with the existing analytical and numerical results.Specif-ically,the analytical results indicate that only one type of compression wave exists in the incom-pressible unsaturated porous media.The compression wave with an opposite phase to the incident wave was generated at the fixed displacement boundary,whose response amplitude revealed a decreasing tendency with the increase of porous medium saturation.关键词
非饱和多孔介质/不可压缩/瞬态响应/精确解Key words
unsaturated porous media/incompressible/transient response/exact solution分类
土木建筑引用本文复制引用
杨相如,陈雪梅,赵云..单层非饱和不可压缩多孔介质一维瞬态响应精确解[J].地震工程学报,2025,47(3):522-528,7.基金项目
福建省自然科学基金(2021J01338) （2021J01338）
河南工业大学创新基金支持计划专项资助(2022ZKCJ07) （2022ZKCJ07）
