Abstract
A study is made of the problem of taking account of the compressibility of the solid phase at high pressures in problems of gas flow through porous media for linear filtration and nonlinear filtration alike. For this purpose, the problems of one-dimensional steady-state gas flow through a porous medium have been solved and analyzed for a compressible and an incompressible solid porous skeleton at a known pressure difference. It has been shown that in taking account of the compressibility, the maximum relative deviations of the sought quantities from the value calculated disregarding it depend linearly, as a rule, on the compressibility factor and the pressure of the gas at entry into the porous medium. However in the case of nonlinear filtration, in media with a high permeability, taking account of the compressibility is also influenced by the filtration coefficient and by the inertial coefficient of drag of the porous medium. Nonlinear dependences of the maximum relative changes in the sought quantities on the problem’s parameters arise.
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