Numerical Homogenization of 2D Heterogeneous Anisotropic Porous Medium Based on a Hyperbolic Thermodynamically Compatible Model

Numerical Homogenization of 2D Heterogeneous Anisotropic Porous Medium Based on a Hyperbolic Thermodynamically Compatible Model Full article

Conference

The 26th International Conference on Computational Science and Its Applications
30 Jun - 3 Jul 2026 , Braga, University of Minho

Journal

Lecture Notes in Computer Science
ISSN: 0302-9743 , E-ISSN: 1611-3349

Output data

Year: 2026, Volume: 16761, Pages: 84-97 Pages count : 14 DOI: 10.1007/978-3-032-30527-5_6

Authors

Reshetova Galina ¹ , Romenski Evgeniy ²

Affiliations

1	Trofimuk Institute of Petroleum Geology and Geophysics SB RAS, Novosibirsk, 630090, Russia
2	Sobolev Institute of Mathematics SB RAS, Novosibirsk, 630090, Russia

Funding (1)

Russian Science Foundation

26-11-00165

For the numerical homogenization of a heterogeneous porous medium, a method based on strain energy is proposed in combination with a hyperbolic thermodynamically compatible model of a saturated porous medium. The solution of stationary equilibrium problems, necessary for calculating the effective compliance moduli by comparing the energy of an inhomogeneous medium with the equivalent elastic energy, is obtained by the time-marching to a stationary solution method. A number of numerical examples for calculating the effective moduli of macroscopically anisotropic heterogeneous porous samples are presented and discussed.

Reshetova G. , Romenski E.
Numerical Homogenization of 2D Heterogeneous Anisotropic Porous Medium Based on a Hyperbolic Thermodynamically Compatible Model
Lecture Notes in Computer Science. 2026. V.16761. P.84-97. DOI: 10.1007/978-3-032-30527-5_6 OpenAlex

Published online:

Jul 3, 2026

≡ OpenAlex:

W7167011288