Plane strain quasi-static deformation of a poroelastic half-space in welded contact with an elastic half-space due to tensile faulting

Abstract

An analytical solution is obtained of the problem of the plane strain quasi-static deformation of a composite consisting of a poroelastic half-space in welded contact with an elastic half-space caused by a long tensile fault located in the elastic half-space. The solution obtained is in the Fourier-Laplace transform domain. Two integrations are required to be performed to get the solution in the space-time domain. Schapery's formula is used for the Laplace inversion and extended Simpson's formula for the Fourier inversion. The diffusion of the pore pressure and the consolidation rate are studied numerically. It is found that the consolidation rate is not affected much by the compressibility of the fluid constituents of the poroelastic material.