An analytical solution is presented for Biot’s consolidation induced by surface loading within a finite two-dimensional (2D)

isotropic

homogeneous and fluid-saturated poroelastic media. Here

the consolidation is assumed to be governed by the incompressible porous media model. The Dirichlet boundary conditions are adopted for the pore pressure field

and the displacements field on the upper and lower surfaces conforms to physical boundaries. However

the boundary conditions of the displacements field on the lateral sides are specifically given. Finite sine and cosine transforms

Laplace transforms and Laplace numerical inversions are implemented; and the analytical solutions in the closed-form of double summations of series are obtained. Finally

an example of plane strain consolidation is studied. The proposed exact solution is validated against the numerical solution by the finite element analysis software ABAQUS. And based on the presented analytical solution

the spatiotemporal evolution of the pore pressure field and the displacements field is briefly examined. The presented analytical solution can be of great potential to further understand the behavior of flow and deformation coupling in a finite 2D fluid-saturated porous medium.