dc.contributor.author | Borregales Reveron, Manuel Antonio | |
dc.contributor.author | Radu, Florin Adrian | |
dc.contributor.author | Kumar, Kundan | |
dc.contributor.author | Nordbotten, Jan Martin | |
dc.date.accessioned | 2020-05-06T07:59:36Z | |
dc.date.available | 2020-05-06T07:59:36Z | |
dc.date.issued | 2018 | |
dc.Published | Borregales Reveron MA, Radu FA, Kumar K, Nordbotten JM. Robust iterative schemes for non-linear poromechanics. Computational Geosciences. 2018;22(4):1021-1038 | eng |
dc.identifier.issn | 1420-0597 | en_US |
dc.identifier.issn | 1573-1499 | en_US |
dc.identifier.uri | https://hdl.handle.net/1956/22101 | |
dc.description.abstract | 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. | en_US |
dc.language.iso | eng | eng |
dc.publisher | Springer | en_US |
dc.title | Robust iterative schemes for non-linear poromechanics | en_US |
dc.type | Peer reviewed | |
dc.type | Journal article | |
dc.date.updated | 2019-12-17T13:30:20Z | |
dc.description.version | acceptedVersion | en_US |
dc.rights.holder | Copyright Springer International Publishing AG, part of Springer Nature 2018 | en_US |
dc.identifier.doi | https://doi.org/10.1007/s10596-018-9736-6 | |
dc.identifier.cristin | 1580096 | |
dc.source.journal | Computational Geosciences | |
dc.relation.project | Norges forskningsråd: 255426 | |
dc.relation.project | Norges forskningsråd: 250223 | |