Abstract:Base on the assumption of compressible skeleton,grain and water,the saturated governing equations are deduced. The governing equations are discredited by using Galerkin method,and the matrix for elastoplastic constitutive model is also deduced. With introduction of the fractal permeability model in coupled problem,a review of the advance on describing of the permeability by fractal method in fractal porous media and fracture media is made. Finally,a practical fractal permeability model to applied in consolidation analysis,the permeability model can simulate the permeability changing with the deformation of media. The numerical result shows good regularity,and can improve the understanding of observation made in coupled experiment.