On a Double Porosity Model of Fractured-Porous Reservoirs Based on a Hybrid Flow Function

A. V. Grigoriev, Yu M. Laevsky, P. G. Yakovlev

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, a model of double porosity for a fractured porous medium using a combination of classical and gradient functions of mass transfer between the cracks and porous blocks in a weakly compressible single-phase fluid flow is considered. As compared to the wellknown models, the model with such a mass transfer function allows one to take into account the anisotropic properties of filtration in a more general form. The results of numerical tests for two- and three-dimensional model problems are presented. The computational algorithm is based on a finite element approximation with respect to space and a completely implicit approximation with respect to time.

Original languageEnglish
Pages (from-to)121-133
Number of pages13
JournalNumerical Analysis and Applications
Volume11
Issue number2
DOIs
Publication statusPublished - 1 Apr 2018

Keywords

  • a priori estimation
  • double porosity model
  • filtration
  • finite element method
  • flow function
  • fractured-porous media
  • implicit scheme
  • weakly compressible fluid

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