Computational Model for Compressible Two-Phase Flow in Deformed Porous Medium

Computational Model for Compressible Two-Phase Flow in Deformed Porous Medium Full article

Journal

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

Output data

Year: 2021, Volume: 12949 LNCS, Pages: 224-236 Pages count : 13 DOI: 10.1007/978-3-030-86653-2_16

Tags

Poroelasticity; Symmetric hyperbolic thermodynamically compatible model; Three-phase flow; Wave propagation

Authors

Romenski E. ¹ , Reshetova G. ^1,2 , Peshkov I. ^1,3

Affiliations

1	Sobolev Institute of Mathematics SB RAS, Novosibirsk, 630090, Russian Federation
2	Institute of Computational Mathematics and Mathematical Geophysics SB RAS, Novosibirsk, 630090, Russian Federation
3	Department of Civil, Environmental and Mechanical Engineering, University of Trento, Via Mesiano 77, Trento, Italy

A new three-phase model of compressible two-fluid flows in a deformed porous medium is presented. The derivation of the model is based on the application of the Symmetric Hyperbolic Thermodynamically Compatible (SHTC) systems theory to three-phase solid-fluid mixture. The resulting governing equations are hyperbolic and satisfy the laws of irreversible thermodynamics - conservation of energy and growth of entropy. Due to these properties, the formulated model is well suited for the straightforward application of advanced high accuracy numerical methods applicable to the solution of hyperbolic systems, and ensures the reliability of the numerically obtained solutions. On the basis of the formulated nonlinear model, the governing equations for the propagation of small-amplitude waves are obtained, allowing the use of an efficient finite-difference scheme on staggered grids for their numerical solution. Some numerical examples are presented showing the features of wave propagation in a porous medium saturated with a mixture of liquid and gas with their different ratios.

Romenski E. , Reshetova G. , Peshkov I.
Computational Model for Compressible Two-Phase Flow in Deformed Porous Medium
Lecture Notes in Computer Science. 2021. V.12949 LNCS. P.224-236. DOI: 10.1007/978-3-030-86653-2_16 Scopus OpenAlex

Scopus:	2-s2.0-85115426278
OpenAlex:	W3200723387

DB	Citing
Scopus	7
OpenAlex	5