Journal "Computational Technologies"

Article information

2022 , Volume 27, № 6, p.4-18

Virts R.A., Papin A.A.

Modelling the storage of carbon dioxide in viscoelastic porous medium

Purpose. This paper presents a model that describes gas filtration in a poroelastic medium. The initial-boundary problem describing carbon dioxide injection into a geological environment is formulated. The purpose of the research is numerical solution of the initial-boundary value problem and the analysis of results of the presented numerical simulation.

Methodology. The assumption that the solid phase velocity is small allows reducing the original system of constitutive two-dimensional equations to two equations for the effective pressure and porosity. For numerical implementation, the scheme of alternating directions and the Runge – Kutta method of the fourth order of accuracy are used. A parabolic equation for the effective pressure was solved using the stabilizing correction scheme and the explicit scheme for the heat equation. Grid convergence is tested by a series of computational experiments on sequences of refined grids.

Findings. Several options for gas injection are considered. Optimal parameters for storing carbon dioxide in geological formations in the long term have been found.

Originality/value. Taking into account the poroelastic properties and the assumption of the deformability of the solid phase of the medium allows making new predictions of the distribution of carbon dioxide in geological media. The research results can be useful for improving existing carbon dioxide storage models and for developing new ones.

[full text]
Keywords: porosity, filtration, poroelasticity, carbon dioxide, injection, numerical solution

doi: 10.25743/ICT.2022.27.6.002

Author(s):
Virts Rudolf Aleksandrovich
Position: Student
Office: Altai State University
Address: 656049, Russia, Barnaul, Lenina avenue, 61
Phone Office: (3852) 298156
E-mail: virtsrudolf@gmail.com
SPIN-code: 9089-2912

Papin Aleksander Alekseevich
Dr. , Professor
Position: Head of Chair
Office: Altai State University
Address: 656049, Russia, Barnaul, Lenina avenue, 61
Phone Office: (3852) 298156
E-mail: papin@math.asu.ru
SPIN-code: 9089-2912

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Bibliography link:
Virts R.A., Papin A.A. Modelling the storage of carbon dioxide in viscoelastic porous medium // Computational technologies. 2022. V. 27. № 6. P. 4-18