Diffuse interface approach to modeling wavefields in a saturated porous medium | Sciact - Система учета научной деятельности ИМ СО РАН

Diffuse interface approach to modeling wavefields in a saturated porous medium Научная публикация

Журнал

Applied Mathematics and Computation
ISSN: 0096-3003 , E-ISSN: 1873-5649

Вых. Данные

Год: 2021, Том: 398, Номер статьи : 125978, Страниц : DOI: 10.1016/j.amc.2021.125978

Ключевые слова

Diffuse interface; Finite difference scheme; Staggered grid; Two-phase model; Waves in saturated porous medium

Авторы

Reshetova G. ^1,2 , Romenski E. ²

Организации

1	Institute of Computational Mathematics and Mathematical Geophysics, 6 Pr. Akademika Lavrentjeva, Novosibirsk, 630090, Russian Federation
2	Sobolev Institute of Mathematics, 4 Acad. Koptyug Avenue, Novosibirsk, 630090, Russian Federation

We present a model and numerical technique method for simulation a small-amplitude wave propagation in the fluid-saturated porous medium in regions with different porosity, including domains with pure fluid and pure solid. The governing equations are derived from the general hyperbolic thermodynamically compatible model of compressible fluid flow in a deformed porous medium. The resulting linear partial differential equations (PDE) form the symmetric hyperbolic system written for velocities, relative velocities, pressure and shear stress, which ensures application of a high order finite difference scheme on a staggered grid. A diffuse interface approach is applied to simulate wavefields in regions with interfaces between media with different porosity, including pure phases. The latter allows computations with the use of a single PDE system on rectangular grids without cumbersome interface tracking. Numerical experiments confirming the efficiency of the proposed approach are presented.

Reshetova G. , Romenski E.
Diffuse interface approach to modeling wavefields in a saturated porous medium
Applied Mathematics and Computation. 2021. V.398. 125978 . DOI: 10.1016/j.amc.2021.125978 WOS Scopus OpenAlex

Web of science:	WOS:000615983200008
Scopus:	2-s2.0-85100054218
OpenAlex:	W3122449586

БД	Цитирований
Scopus	9
OpenAlex	6
Web of science	5