Analysis of Transient Ground Surface Displacements Due to a Point Sink in a Porous Elastic Half-Space

Based on Biot’s three-dimensional consolidation theory of porous media, analytical solutions of the transient consolidation deformation due to a point sink in saturated isotropic porous elastic half-space are presented. Using the Laplace and Hankel integral transform techniques, closed-form solutions of the horizontal and vertical displacements of the ground surface are obtained. In the analysis, case of permeable half-space boundary is studied. The consolidation as effected by the consolidation parameters are illustrated and discussed