Macroscopic equations for nonstationary flow of Stokesian fluid through porous elastic medium

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Authors

  • W. Bielski Institute of Geophysics, Poland
  • J.J. Telega Institute of Fundamental Technological Research, Polish Academy of Sciences, Poland
  • R. Wojnar Institute of Fundamental Technological Research, Polish Academy of Sciences, Poland

Abstract

The aim of this contribution is to apply homogenization methods in order to describe the nonstationary flow of a viscous fluid through a microperiodic porous elastic medium. By using the method of two-scale asymptotic expansions, the macroscopic phenomenological equations describing such a two-phase structure are derived and the formulae for the effective mechanical coefficients are given. The asymptotic approach is justified by the two-scale convergence. It is shown that Darcy's law is noulocal in time.

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