In reservoir engineering and environmental engineering, people are con- cerned about poroelasticity, the modeling of coupled fluid-solid processes. The Biot model is one important mathematical model of coupled fluid-solid processes. This model involves the coupling between a transport law and a balance law, and thus it can model the fluid transport in porous media and predict the deformation of the solid. This work provides a theoretical analysis of a new numerical method for solving the poroelasticity equations. We approximate the pressure, displacement and dilatation by the discontinuous Galerkin method, which includes symmetric, nonsymmetric and incomplete interior penalty Galerkin cases. We show convergence of the mathod by deriving error estimates. Numerical examples are given.
