About: Modeling flows in periodically heterogenous porous media with deformation-dependent permeability

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We adapt the classical Biot model of poroelastic media for situations when the deformation has a significant influence on the permeability tensor controlling the seepage flow and on the other poroelastic coefficients. The Biot model is derived under the assumption of small strains using the homogenization of the fluid-structure interaction problem for a periodic medium involving elastic skeleton with pore fluid, whereby the Darcy flow law is obtained by homogenizing the Stokes flow. To derive the extended theory involving solution-dependent coefficients, the sensitivity computations are performed w.r.t. the microscopic field of displacements associated with the solid skeleton. By virtue of the homogenization scheme, this field can be expressed as a linear function of the macroscopic strain and pore pressure. As the result, the homogenized model of the poroelastic medium is modified by using effective coefficients which are linear functions of the macroscopic response. We adapt the classical Biot model of poroelastic media for situations when the deformation has a significant influence on the permeability tensor controlling the seepage flow and on the other poroelastic coefficients. The Biot model is derived under the assumption of small strains using the homogenization of the fluid-structure interaction problem for a periodic medium involving elastic skeleton with pore fluid, whereby the Darcy flow law is obtained by homogenizing the Stokes flow. To derive the extended theory involving solution-dependent coefficients, the sensitivity computations are performed w.r.t. the microscopic field of displacements associated with the solid skeleton. By virtue of the homogenization scheme, this field can be expressed as a linear function of the macroscopic strain and pore pressure. As the result, the homogenized model of the poroelastic medium is modified by using effective coefficients which are linear functions of the macroscopic response. (en)
Title	Modeling flows in periodically heterogenous porous media with deformation-dependent permeability Modeling flows in periodically heterogenous porous media with deformation-dependent permeability (en)
skos:prefLabel	Modeling flows in periodically heterogenous porous media with deformation-dependent permeability Modeling flows in periodically heterogenous porous media with deformation-dependent permeability (en)
skos:notation	RIV/49777513:23520/13:43919375!RIV14-MZ0-23520___
http://linked.open...avai/predkladatel	Fakulta aplikovaných věd
http://linked.open...avai/riv/aktivita	P
http://linked.open...avai/riv/aktivity	P(ED1.1.00/02.0090), P(NT13326)
http://linked.open...vai/riv/dodaniDat	2014
http://linked.open...aciTvurceVysledku	Rohan, Eduard Lukeš, Vladimír
http://linked.open.../riv/druhVysledku	D - Článek ve sborníku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Západočeská univerzita v Plzni / Fakulta aplikovaných věd
http://linked.open...dnocenehoVysledku	88839
http://linked.open...ai/riv/idVysledku	RIV/49777513:23520/13:43919375
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Poroelasticity, Homogenization, Nonlinear Biot Model, Sensitivity Analysis (en)
http://linked.open.../riv/klicoveSlovo	Homogenization Poroelasticity Sensitivity Analysis Nonlinear Biot Model
http://linked.open...ontrolniKodProRIV	[31D20B6D8637]
http://linked.open...v/mistoKonaniAkce	Barcelona, Spain
http://linked.open...i/riv/mistoVydani	Barcelona
http://linked.open...i/riv/nazevZdroje	Computational Plasticity XII - Fundamentals and Applications
http://linked.open...in/vavai/riv/obor	JI
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	NTIS - New Technologies for Information Society Improvement of resecability of the malignant processes using the more accurate methods for measuring parametres of the remnant liver parenchyma – computer asisted diagnostic and software modeling
http://linked.open...UplatneniVysledku	2013
http://linked.open...iv/tvurceVysledku	Lukeš, Vladimír Rohan, Eduard Cimrman, Robert
http://linked.open...vavai/riv/typAkce	WRD - Světová
http://linked.open.../riv/zahajeniAkce	2013-09-03 (xsd:date)
number of pages	12 (xsd:int)
http://purl.org/ne...btex#hasPublisher	CIMNE
https://schema.org/isbn	978-84-941531-5-0
http://localhost/t...ganizacniJednotka	23520

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