Solutions of the Model of Liquid and Gas Filtration in the Elastic Mode with Dynamic Filtration Law

  • S. I. Skurativskyi S.I. Subbotin Institute of Geophysics, Explosion Geodynamics Section, Nat. Acad. of Sci. of Ukraine
  • I. A. Skurativska S.I. Subbotin Institute of Geophysics, Explosion Geodynamics Section, Nat. Acad. of Sci. of Ukraine
Keywords: porous medium, generalized Darcy’s law, invariant solutions, relaxation

Abstract

A filtration model with the generalized Darcy’s law making allowance for nonlocal and nonlinear effects has been developed. The expression for the law was derived within the relaxation formalizm of nonequilibrium thermodynamics. The developed model is applied to analyze the influence of relaxation effects on the phase velocity of small wave-like perturbations. The character of nonlinear traveling waves is determined. The properties of polynomial and self-similar solutions are analyzed.

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Published
2019-01-30
How to Cite
Skurativskyi, S., & Skurativska, I. (2019). Solutions of the Model of Liquid and Gas Filtration in the Elastic Mode with Dynamic Filtration Law. Ukrainian Journal of Physics, 64(1), 19. https://doi.org/10.15407/ujpe64.1.19
Section
General physics