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Iterative Methods for Coupled Flow and Geomechanics in Unsaturated Porous Media
Univ Bergen, Dept Math, POB 7803, N-5020 Bergen, Norway..
Univ Bergen, Dept Math, POB 7803, N-5020 Bergen, Norway..
Univ Bergen, Dept Math, POB 7803, N-5020 Bergen, Norway.;Princeton Univ, Dept Civil & Environm Engn, E-208 E Quad, Princeton, NJ 08544 USA..
Univ Bergen, Dept Math, POB 7803, N-5020 Bergen, Norway..
2017 (English)In: Poromechanics VI: Proceedings Of The Sixth Biot Conference On Poromechanics / [ed] Vandamme, M Dangla, P Pereira, JM Ghabezloo, S, AMER SOC CIVIL ENGINEERS , 2017, p. 411-418Conference paper, Published paper (Refereed)
Abstract [en]

This work concerns the linearization of a three-field discretization of generalized Biot's equations describing coupled fluid flow and mechanical deformation in unsaturated porous media. The model of interest employs the effective stress based on the so-called equivalent pore pressure and can be interpreted as linear mechanics nonlinearly coupled with Richards' equation. As linearization, we apply simultaneously the L-scheme and the Fixed Stress Splitting scheme, which have been established and analyzed for Richards' equation and the linear Biot's equations, respectively. Numerical results demonstrate robustness and mesh independent convergence rates, whereas the popular, locally convergent Newton's method does not display robust convergence for the numerical examples we present.

Place, publisher, year, edition, pages
AMER SOC CIVIL ENGINEERS , 2017. p. 411-418
National Category
Physical Sciences Materials Engineering
Identifiers
URN: urn:nbn:se:kau:diva-69250ISI: 000426216300050ISBN: 9780784480779 (print)OAI: oai:DiVA.org:kau-69250DiVA, id: diva2:1255371
Conference
The Sixth Biot Conference on Poromechanics,Paris, France, July 9–13, 2017.
Available from: 2018-10-12 Created: 2018-10-12 Last updated: 2018-10-18Bibliographically approved

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Kumar, Kundan

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