Considering the variations of porosity and permeability of rapeseed cake and rapeseed dehulled cake in pressing, one-dimensional partial differential equation for fluids in porous media of rapeseed cake and rapeseed dehulled cake was developed on the basis of theory of fluid-solid interaction, in which the cake is deformable and the permeability is variable. An analytic solution for problem of fluid-solid interaction of one-dimensional steady flow in porous media was proposed. The parameter inversion problems of permeability model of rapeseed cake and rapeseed dehulled cake, by using improved ...