An analytical solution is proposed for the Biot’s consolidation theory within a finite two-dimensional (2D)

isotropic

homogeneous

and fluid-saturated poroelastic media due to a point sink when the pore pressure is prescribed on the boundary. The analysis is based on compressible porous media models. Fourier and Laplace transforms and related inversions are implemented; and the exact solutions in the form of double summations of infinite series are obtained. In particular

the steady-state analytical solution due to a point sink of constant pumping rate is presented and validated by the exact solution available in the literature. The proposed analytical solution is applicable for testing the accuracy of numerical schemes; and it also can be used to further understand the behaviour of flow and deformation coupling in a finite 2D domain.