Quasi-static deformation caused by a long tensile dislocation in an elastic half-space in welded contact with a poroelastic half-space

Abstract

An analytical solution of the plane strain problem of a long tensile fault embedded in an elastic half-space in welded contact with a poroelastic half-space is obtained. The tensile fault is horizontal with dislocation in the vertical direction. The solution obtained is in the Laplace−Fourier transform domain. Stehfest’s formula is used for the Laplace inversion and the extended Simpson’s formula for the Fourier inversion. Diffusion of the pore pressure and the consolidation rate are studied numerically. It is found that an increase in the rigidity ratio of the poroelastic/elastic half-spaces results in an increase in the pore pressure at the interface. The compressibility of the fluid constituents of the poroelastic half-space diminishes the amplitude of vertical displacement. However, it has no effect on the consolidation rate. Similarly, a change in the rigidity ratio of the poroelastic/elastic half-spaces has no effect on the consolidation rate.