Quasi-static deformation of a multilayered poroelastic half-space by two-dimensional buried sources

Abstract

The fully coupled Biot quasi-static theory of fluid-infiltrated porous materials is used to study the two-dimensional plane strain deformation of a multilayered poroelastic half-space by internal sources. Pure compliance formulation, in which the stresses and the pore pressure are taken as the basic state variables, is used. Displacements are then obtained by integrating the coupled constitutive relations and the fluid flux from the Darcy law. The problem is formulated in terms of the propagator matrices. Simplified explicit expressions for the elements of the 6 × 6 propagator matrix are obtained. The propagator matrix is also used to obtain explicit expressions for the surface displacements and fluid flow due to a line force and a fluid injection source buried in a poroelastic half-space.