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Statements

Subject Item
n2:RIV%2F49777513%3A23520%2F13%3A43919375%21RIV14-MZ0-23520___
rdf:type
skos:Concept n11:Vysledek
dcterms: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.
dcterms:title
Modeling flows in periodically heterogenous porous media with deformation-dependent permeability Modeling flows in periodically heterogenous porous media with deformation-dependent permeability
skos:prefLabel
Modeling flows in periodically heterogenous porous media with deformation-dependent permeability Modeling flows in periodically heterogenous porous media with deformation-dependent permeability
skos:notation
RIV/49777513:23520/13:43919375!RIV14-MZ0-23520___
n11:predkladatel
n12:orjk%3A23520
n4:aktivita
n21:P
n4:aktivity
P(ED1.1.00/02.0090), P(NT13326)
n4:dodaniDat
n14:2014
n4:domaciTvurceVysledku
n19:5644828 n19:1351958
n4:druhVysledku
n5:D
n4:duvernostUdaju
n17:S
n4:entitaPredkladatele
n20:predkladatel
n4:idSjednocenehoVysledku
88839
n4:idVysledku
RIV/49777513:23520/13:43919375
n4:jazykVysledku
n10:eng
n4:klicovaSlova
Poroelasticity, Homogenization, Nonlinear Biot Model, Sensitivity Analysis
n4:klicoveSlovo
n8:Poroelasticity n8:Nonlinear%20Biot%20Model n8:Homogenization n8:Sensitivity%20Analysis
n4:kontrolniKodProRIV
[31D20B6D8637]
n4:mistoKonaniAkce
Barcelona, Spain
n4:mistoVydani
Barcelona
n4:nazevZdroje
Computational Plasticity XII - Fundamentals and Applications
n4:obor
n9:JI
n4:pocetDomacichTvurcuVysledku
2
n4:pocetTvurcuVysledku
3
n4:projekt
n22:ED1.1.00%2F02.0090 n22:NT13326
n4:rokUplatneniVysledku
n14:2013
n4:tvurceVysledku
Rohan, Eduard Cimrman, Robert Lukeš, Vladimír
n4:typAkce
n7:WRD
n4:zahajeniAkce
2013-09-03+02:00
s:numberOfPages
12
n13:hasPublisher
CIMNE
n18:isbn
978-84-941531-5-0
n15:organizacniJednotka
23520