Exact solutions to one-dimensional transient response of incompressible fluid-saturated single-layer porous media  

作　　者：单振东 凌道盛 丁皓江 

机构地区：[1]Ministry of Education Key Laboratory of Soft Soils and Geoenvironmental Engineering,Zhejiang University [2]Institute of Engineering Mechanics,China Earthquake Administration

出　　处：《Applied Mathematics and Mechanics(English Edition)》2013年第1期75-84,共10页应用数学和力学（英文版）

基　　金：Project supported by the Earthquake Administration Foundation for Seismological Researches of China(No.200808022);the National Natural Science Foundation of China(Nos.50778163 and 50708095);the National Basic Research Program of China(No.2007CB714200)

摘　　要：Based on the Biot theory of porous media, the exact solutions to one- dimensional transient response of incompressible saturated single-layer porous media un- der four types of boundary conditions are developed. In the procedure, a relation between the solid displacement u and the relative displacement ＇w is derived, and the well-posed initial conditions and boundary conditions are proposed. The derivation of the solution for one type of boundary condition is then illustrated in detail. The exact solutions for the other three types of boundary conditions are given directly. The propagation of the compressional wave is investigated through numerical examples. It is verified that only one type of compressional wave exists in the incompressible saturated porous media.Based on the Biot theory of porous media, the exact solutions to one- dimensional transient response of incompressible saturated single-layer porous media un- der four types of boundary conditions are developed. In the procedure, a relation between the solid displacement u and the relative displacement ＇w is derived, and the well-posed initial conditions and boundary conditions are proposed. The derivation of the solution for one type of boundary condition is then illustrated in detail. The exact solutions for the other three types of boundary conditions are given directly. The propagation of the compressional wave is investigated through numerical examples. It is verified that only one type of compressional wave exists in the incompressible saturated porous media.

关 键 词：transient response incompressible porous medium exact solution saturated 

分 类 号：TU43[建筑科学—岩土工程]