Abstract: The primary equations for deformable porous media, including the effects of fluid-solid coupling and infiltration, are derived on the basis of Biot theory. The hydrodynamic dispersion distribution probability and coefficient expressions are presented. The displacement field for the liquid in the porous medium is given. The hydrodynamic dispersion effect on the boundary of porous media is discussed. The moving boundary equation for porous media is established and four types of boundary conditions are studied.