Coupled diffusion and seepage problem in porous media

Based on mass conservation law a coupled scheme of diffusion and seepage is given for porous media saturated with a multi-component solution. Note that both phenomena have independently treated in the classical theory of porous materials. In the seepage problem we shed light on a physical implication of seepage velocity. In the diffusion problem we show sorption can be introduced on concepts of a source term, a distribution factor or an equation of adsorption isotherm. A practical procedure to evaluate diffusion coefficient is also shown.