Homogenization of a double porosity model in deformable media

The article addresses the homogenization of a family of micro-models for the flow of a slightly compressible fluid in a poroelastic matrix containing periodically distributed poroelastic inclusions, with low permeabilities and with imperfect contact on the interface. The micro-models are based o...
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Autor*in:	Abdelhamid Ainouz [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2013

Schlagwörter:	Poroelasticity equations homogenization two-scale convergence

Übergeordnetes Werk:	In: Electronic Journal of Differential Equations - Texas State University, 2003, (2013), 90,, Seite 18
Übergeordnetes Werk:	year:2013 ; number:90, ; pages:18

Links:	Link aufrufen Link aufrufen Journal toc

Katalog-ID:	DOAJ065753763

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allfieldsSound	(DE-627)DOAJ065753763 (DE-599)DOAJ162e03326fac49adb87ecbee1a666fcc DE-627 ger DE-627 rakwb eng QA1-939 Abdelhamid Ainouz verfasserin aut Homogenization of a double porosity model in deformable media 2013 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The article addresses the homogenization of a family of micro-models for the flow of a slightly compressible fluid in a poroelastic matrix containing periodically distributed poroelastic inclusions, with low permeabilities and with imperfect contact on the interface. The micro-models are based on Biot's system for consolidation processes in each phase, with interfacial barrier formulation. Using the two-scale convergence technique, it is shown that the derived system is a general model of that proposed by Aifantis, plus an extra memory term. Poroelasticity equations homogenization two-scale convergence Mathematics In Electronic Journal of Differential Equations Texas State University, 2003 (2013), 90,, Seite 18 (DE-627)320518205 (DE-600)2014226-2 10726691 nnns year:2013 number:90, pages:18 https://doaj.org/article/162e03326fac49adb87ecbee1a666fcc kostenfrei http://ejde.math.txstate.edu/Volumes/2013/90/abstr.html kostenfrei https://doaj.org/toc/1072-6691 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2031 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2061 GBV_ILN_2111 GBV_ILN_2190 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 2013 90, 18
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callnumber-first	Q - Science
author	Abdelhamid Ainouz
spellingShingle	Abdelhamid Ainouz misc QA1-939 misc Poroelasticity equations misc homogenization misc two-scale convergence misc Mathematics Homogenization of a double porosity model in deformable media
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topic_title	QA1-939 Homogenization of a double porosity model in deformable media Poroelasticity equations homogenization two-scale convergence
topic	misc QA1-939 misc Poroelasticity equations misc homogenization misc two-scale convergence misc Mathematics
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title	Homogenization of a double porosity model in deformable media
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title_full	Homogenization of a double porosity model in deformable media
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title_sort	homogenization of a double porosity model in deformable media
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title_auth	Homogenization of a double porosity model in deformable media
abstract	The article addresses the homogenization of a family of micro-models for the flow of a slightly compressible fluid in a poroelastic matrix containing periodically distributed poroelastic inclusions, with low permeabilities and with imperfect contact on the interface. The micro-models are based on Biot's system for consolidation processes in each phase, with interfacial barrier formulation. Using the two-scale convergence technique, it is shown that the derived system is a general model of that proposed by Aifantis, plus an extra memory term.
abstractGer	The article addresses the homogenization of a family of micro-models for the flow of a slightly compressible fluid in a poroelastic matrix containing periodically distributed poroelastic inclusions, with low permeabilities and with imperfect contact on the interface. The micro-models are based on Biot's system for consolidation processes in each phase, with interfacial barrier formulation. Using the two-scale convergence technique, it is shown that the derived system is a general model of that proposed by Aifantis, plus an extra memory term.
abstract_unstemmed	The article addresses the homogenization of a family of micro-models for the flow of a slightly compressible fluid in a poroelastic matrix containing periodically distributed poroelastic inclusions, with low permeabilities and with imperfect contact on the interface. The micro-models are based on Biot's system for consolidation processes in each phase, with interfacial barrier formulation. Using the two-scale convergence technique, it is shown that the derived system is a general model of that proposed by Aifantis, plus an extra memory term.
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title_short	Homogenization of a double porosity model in deformable media
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Homogenization of a double porosity model in deformable media

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