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Robust iterative schemes for non-linear poromechanics
University of Bergen, Norway..
University of Bergen, Norway..
University of Bergen, Norway.
University of Bergen, Norway.; Princeton University, USA..
2018 (engelsk)Inngår i: Computational Geosciences, ISSN 1420-0597, E-ISSN 1573-1499, Vol. 22, nr 4, s. 1021-1038Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider a non-linear extension of Biot's model for poromechanics, wherein both the fluid flow and mechanical deformation are allowed to be non-linear. Specifically, we study the case when the volumetric stress and the fluid density are non-linear functions satisfying certain assumptions. We perform an implicit discretization in time (backward Euler) and propose two iterative schemes for solving the non-linear problems appearing within each time step: a splitting algorithm extending the undrained split and fixed stress methods to non-linear problems, and a monolithic L-scheme. The convergence of both schemes are shown rigorously. Illustrative numerical examples are presented to confirm the applicability of the schemes and validate the theoretical results.

sted, utgiver, år, opplag, sider
Dordrecht: Springer, 2018. Vol. 22, nr 4, s. 1021-1038
Emneord [en]
Biot's model, L-schemes, MFEM, Convergence analysis, Fixed-stress method, Coupled problems, Poromechanics
HSV kategori
Forskningsprogram
Materialteknik
Identifikatorer
URN: urn:nbn:se:kau:diva-69244DOI: 10.1007/s10596-018-9736-6ISI: 000438821700005OAI: oai:DiVA.org:kau-69244DiVA, id: diva2:1255368
Tilgjengelig fra: 2018-10-12 Laget: 2018-10-12 Sist oppdatert: 2018-11-05bibliografisk kontrollert

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