Approximate computation of unsteady moving-boundary flows in a porous medium

The approximate method of integral relations is used to compute two problems of unsteady moving-boundary flow in a porous medium in the cases of linear parallel and plane radial motion. The problems are associated with the design and operation of underground gas storage facilities in horizontal and slightly sloping aquifers. It is assumed that the process is isothermal and the gas is ideal. Numerical results obtained in various approximations are described and analyzed. The results are presented as plots.