Analytic solution of poro-mechanical problems in a hollow axisymmetric domain

摘要

An analytic solution of the coupled poro-mechanical problem in a finite hollow axisymmetric elastic medium is derived. According to Biot theory, we have derived rigorously the coupled elastic poro-mechanical equations and demonstrated that in the axisymmetric problems the diffusion equation can be uncoupled. In the problem of infinite domain the uncoupled diffusion equation is homogeneous and only the diffusion coefficient is changed. In the problem of finite domain the uncoupled equation is non-homogeneous. In fact, it is a linear differential-integral equation. We solve it using the variable separation method in time domain.