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Real gas flow through heterogeneous porous media: Theoretical aspects of upscaling. (English) Zbl 0991.76086

The author discusses the problem of upscaling transient real gas flow through heterogeneous bounded reservoirs. Instead of stochastic averaging of nonlinear flow equations, Kirchhoff transformation is used to linearize the governing equations. It is pointed out that the linearized stochastic differential equations are similar to those used for the description of groundwater flows in heterogeneous formations. Thus, an upscaled gas permeability has the same qualities as an upscaled hydraulic conductivity. The author also discusses an extension of the results obtained by means of small perturbation analysis to highly heterogeneous porous formations.
Reviewer: Y.N.Gaur (Jaipur)

MSC:

76S05 Flows in porous media; filtration; seepage
76M35 Stochastic analysis applied to problems in fluid mechanics
86A05 Hydrology, hydrography, oceanography
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