Abstract: Taking into account the behavior that the permeability of deformable porous media varies with their porosity, the liquid-solid problem of liquid flowing through porous media under general plain stress condition is discussed.First the goveming equations are published, then a decoupled method is proposed, and the fields of pore pressure, the stresses, strains and displacement of media are derived analytically.The computation of cases indicates that there are obviously difference between the coupled analysis and non-coupled analysis.