gas filtration

The process of gas filtration in a porous medium depending on its structure is modeled in the paper.  The presence of pores of various sizes leads to the formation of flow and stagnation zones, which affect both the pressure distribution in the medium and the active gas mass.  The obtained results make it possible to determine the proportion of the flow zones volume and the exchange coefficient between the flow and stagnant zones.

The mathematical model of nonstationary gas filtration in porous plane layer under small perturbations of gas pressure is considered. We have obtained the linearized filtration equation with the coefficients depending on the parameters of the porous medium, the thermodynamic characteristics of gas and the value of unperturbed pressure in the layer. A problem of kinetics of equalization of pressure in the layer in the case of small local perturbations was formulated. Using the Green function, we have obtained an analytical solution of the problem.