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Num. Meth. Prog., 2019, Volume 20, Issue 4, Pages 457–470 (Mi vmp981)  

Numerical modeling of chemical interaction between a fluid and rocks

K. A. Gadylshina, T. S. Khachkova, V. V. Lisitsa

A. A. Trofimuk Institute of Petroleum Geology and Geophysics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: A new algorithm for the numerical modeling of chemical fluid-rock interaction at the pore scale is proposed. The algorithm is based on splitting the problem into physical processes. It is assumed that the fluid rate is low and the fluid flow is stabilized almost instantly in the case of small changes in the pore space geometry. In the pore space, thus, the fluid flow is modeled using the Stokes equation for steady flows. The chemical reactant transport is described by the convection-diffusion equation with Robin boundary conditions at the fluid-rock interface. The pore space boundary changes with time and is implicitly given by a level-set function. We use finite-difference schemes with immersed boundary conditions to solve the Stokes and convection-diffusion equations

Keywords: level-set function method, immersed boundary method, chemical dissolution.

DOI: https://doi.org/10.26089/NumMet.v20r440

Full text: PDF file (658 kB)

UDC: 550.341
Received: 04.10.2019

Citation: K. A. Gadylshina, T. S. Khachkova, V. V. Lisitsa, “Numerical modeling of chemical interaction between a fluid and rocks”, Num. Meth. Prog., 20:4 (2019), 457–470

Citation in format AMSBIB
\Bibitem{GadKhaLis19}
\by K.~A.~Gadylshina, T.~S.~Khachkova, V.~V.~Lisitsa
\paper Numerical modeling of chemical interaction between a fluid and rocks
\jour Num. Meth. Prog.
\yr 2019
\vol 20
\issue 4
\pages 457--470
\mathnet{http://mi.mathnet.ru/vmp981}
\crossref{https://doi.org/10.26089/NumMet.v20r440}


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