Liquid seeping into porous medium

A mathematical model is presented to describe the hydrodynamics behavior of liquid seeping into porous medium. The model takes into account the inerti a and the evaporation effects, analytical solution is obtained for the hydr odynamics behavior of the seeping process when the inertia effects are excl uded and numerical solutions are obtained when these effects are included. It is found that both evaporation and inertia have significant effects on t he seeping process. These effects are investigated qualitatively and quanti tatively.