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dc.contributor.authorBrun, Mats Kirkesæther
dc.contributor.authorBerre, Inga
dc.contributor.authorNordbotten, Jan Martin
dc.contributor.authorRadu, Florin Adrian
dc.date.accessioned2019-08-09T07:35:34Z
dc.date.available2019-08-09T07:35:34Z
dc.date.issued2018-08
dc.identifier.issn0169-3913
dc.identifier.urihttp://hdl.handle.net/1956/20656
dc.description.abstractWe undertake a formal derivation of a linear poro-thermo-elastic system within the framework of quasi-static deformation. This work is based upon the well-known derivation of the quasi-static poroelastic equations (also known as the Biot consolidation model) by homogenization of the fluid-structure interaction at the microscale. We now include energy, which is coupled to the fluid-structure model by using linear thermoelasticity, with the full system transformed to a Lagrangian coordinate system. The resulting upscaled system is similar to the linear poroelastic equations, but with an added conservation of energy equation, fully coupled to the momentum and mass conservation equations. In the end, we obtain a system of equations on the macroscale accounting for the effects of mechanical deformation, heat transfer, and fluid flow within a fully saturated porous material, wherein the coefficients can be explicitly defined in terms of the microstructure of the material. For the heat transfer we consider two different scaling regimes, one where the Péclet number is small, and another where it is unity.We also establish the symmetry and positivity for the homogenized coefficients.eng
dc.language.isoengeng
dc.publisherSpringereng
dc.relation.ispartof<a href="http://hdl.handle.net/1956/20657" target="blank">Upscaling, analysis, and iterative numerical solution schemes for thermo-poroelasticity</a>
dc.rightsAttribution CC BYeng
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/eng
dc.subjectHomogenizationeng
dc.subjectTwo-scale expansionseng
dc.subjectPorous mediaeng
dc.subjectThermoelasticityeng
dc.titleUpscaling of the Coupling of Hydromechanical and Thermal Processes in a Quasi-static Poroelastic Mediumeng
dc.typeJournal articleeng
dc.rights.holderCopyright 2018 The Authorseng
dc.type.versionpublishedVersioneng
bora.peerreviewedPeer reviewedeng
bora.journalTitleTransport in Porous Mediaeng
bibo.volume124eng
bibo.issue1eng
bibo.pageStart137eng
bibo.pageEnd158eng
dc.identifier.cristinID1601329
dc.identifier.doi10.1007/s11242-018-1056-8eng


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Attribution CC BY
Except where otherwise noted, this item's license is described as Attribution CC BY