dc.contributor.author | Both, Jakub Wiktor | |
dc.contributor.author | Pop, Iuliu Sorin | |
dc.contributor.author | Yotov, Ivan | |
dc.date.accessioned | 2022-03-07T07:34:49Z | |
dc.date.available | 2022-03-07T07:34:49Z | |
dc.date.created | 2021-12-13T12:02:06Z | |
dc.date.issued | 2021 | |
dc.identifier.issn | 0764-583X | |
dc.identifier.uri | https://hdl.handle.net/11250/2983272 | |
dc.description.abstract | We study unsaturated poroelasticity, i.e., coupled hydro-mechanical processes in variably saturated porous media, here modeled by a non-linear extension of Biot’s well-known quasi-static consolidation model. The coupled elliptic-parabolic system of partial differential equations is a simplified version of the general model for multi-phase flow in deformable porous media, obtained under similar assumptions as usually considered for Richards’ equation. In this work, existence of weak solutions is established in several steps involving a numerical approximation of the problem using a physically-motivated regularization and a finite element/finite volume discretization. Eventually, solvability of the original problem is proved by a combination of the Rothe and Galerkin methods, and further compactness arguments. This approach in particular provides the convergence of the numerical discretization to a regularized model for unsaturated poroelasticity. The final existence result holds under non-degeneracy conditions and natural continuity properties for the constitutive relations. The assumptions are demonstrated to be reasonable in view of geotechnical applications. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | EDP Sciences | en_US |
dc.rights | Navngivelse 4.0 Internasjonal | * |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/deed.no | * |
dc.title | Global existence of weak solutions to unsaturated poroelasticity | en_US |
dc.type | Journal article | en_US |
dc.type | Peer reviewed | en_US |
dc.description.version | publishedVersion | en_US |
dc.rights.holder | Copyright The Authors | en_US |
cristin.ispublished | true | |
cristin.fulltext | original | |
cristin.qualitycode | 1 | |
dc.identifier.doi | 10.1051/m2an/2021063 | |
dc.identifier.cristin | 1967700 | |
dc.source.journal | Mathematical Modelling and Numerical Analysis | en_US |
dc.source.pagenumber | 2849-2897 | en_US |
dc.relation.project | Norges forskningsråd: 250223 | en_US |
dc.relation.project | Norges forskningsråd: Akademia project FracFlow | en_US |
dc.identifier.citation | Mathematical Modelling and Numerical Analysis. 2021, 55 (6), 2849-2897. | en_US |
dc.source.volume | 55 | en_US |
dc.source.issue | 6 | en_US |