Численное решение задачи переноса растворенного вещества в пороупругом глинистом сланце

Translated title of the contribution: Numerical solution of the solute transfer problem in porous elastic clay shale

Bunyod Kholmatzhonovich Imomnazarov, Aleksander Anatolievich Mikhailov, Ilkhom Qudratovich Khaydarov, Abdulkhamid Erkinovich Kholmurodov

Research output: Contribution to journalArticlepeer-review

Abstract

This paper considers the solution to the problem of the transport of solvent and solute in a chemically inert elastically deformable rock, for which only changes in stress and pore pressure are taken into account. The chemistry of the saturating pore fluid has no direct effect on the rock deformation. Chemical effects are taken into account by changing the pore pressure and deformation of rocks in the transport equations. The numerical algorithm for solving the problem under consideration is based on a combination of the Laguerre integral transform and the finite difference method. The paper presents the results of numerical calculations for the model of the transport of a solute through a semipermeable shale.

Translated title of the contributionNumerical solution of the solute transfer problem in porous elastic clay shale
Original languageRussian
Article number48
Pages (from-to)694-702
Number of pages9
JournalSiberian Electronic Mathematical Reports
Volume18
Issue number1
DOIs
Publication statusPublished - 2021

Keywords

  • chemical potential
  • elastic parameters
  • partial density
  • permeability
  • porous medium
  • saturated fluid
  • stress tensor

OECD FOS+WOS

  • 1.01 MATHEMATICS

State classification of scientific and technological information

  • 27 MATHEMATICS

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