Modeling flows in periodically heterogenous porous media with deformation-dependent permeability
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F13%3A43919375" target="_blank" >RIV/49777513:23520/13:43919375 - isvavai.cz</a>
Alternative codes found
RIV/49777513:23640/13:43919375
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Modeling flows in periodically heterogenous porous media with deformation-dependent permeability
Original language 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 theassumption 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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
JI - Composite materials
OECD FORD branch
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Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Computational Plasticity XII - Fundamentals and Applications
ISBN
978-84-941531-5-0
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
1436-1447
Publisher name
CIMNE
Place of publication
Barcelona
Event location
Barcelona, Spain
Event date
Sep 3, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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