Nonstationary two-phase flow through elastic porous 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 derive macroscopic equations governing the dynamic flow of two immiscible viscous fluids through an elastic microperiodic porous medium. To this end homogenization methods were employed. The procedure used can be justified by the method of two-scale convergence. Passage to the stationary case and illustrative example were also provided.

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