Homogenization approach and Floquet-Bloch theory for wave analysis in fluid-saturated porous media with mesoscopic heterogeneities
| dc.contributor.author | Rohan, Eduard | |
| dc.contributor.author | Nquyen, Vu-Hieu | |
| dc.contributor.author | Naili, Salah | |
| dc.date.accessioned | 2021-03-15T11:00:27Z | |
| dc.date.available | 2021-03-15T11:00:27Z | |
| dc.date.issued | 2021 | |
| dc.description.abstract-translated | Weconsiderfluid-saturatedporoelasticmediawhosethemechanicalresponseisgovernedbytheBiotmodelrelevanttoamesoscopicscale.Assumingthematerialpropertiesbeingdescribedbyperiodicfunctions,toanalyzewavepropagationinsuchheterogeneousandanisotropicmedia,wederiveaformulationbasedontheFloquet-Bloch(FB)wavedecom-positionwhichenablestoanalyzewaveswithinthewholefirstBrillouinzoneassociatedwiththeperiodicstructure.ThewavedispersionresultsobtainedbytheFBapproacharecomparedwiththosecomputedusingamodelderivedbythehomogenizationbasedontheasymptoticanalysiswithrespecttothescaleparameter.Asanothernewingredient,thehomogenizedmodelisextendedtodescribemediasaturatedsimultaneouslybymultipledifferentfluids,sothatthemodelinvolvesnewpermeabilitytensorsanddiffersinstruc-turefromthemodelderivedearlier.ThedispersionanalysisbytheFBapproachleadstoacumbersomequadraticeigenvalueproblemtobesolvedforcomplexwavenumbers.Wesuggestanefficientfiltrationstrategytoidentifytheprinciplepropagatingmodes(thefastandslowcompressionalwavesandtheshearwaves).ForcomparisonwithresultsoftheFBtransformationappliedatthemesoscopicheterogeneityscale,thehomogenizedmodelresponsesarereconstructedusingthecorrectorresultsofthehomogenizationwithfixingafinitescale.Numericalexamplesillustrateverygoodcorrespondenceofthedispersionresults,ascomputedbyboththeapproaches. | en |
| dc.format | 23 s. | cs |
| dc.format.mimetype | application/pdf | |
| dc.identifier.citation | ROHAN, E. NQUYEN, V. NAILI, S.Homogenization approach and Floquet-Bloch theory for wave analysis in fluid-saturated porous media with mesoscopic heterogeneities. Applied mathematical modelling, 2021, roč. 91, č. 28 September 2020, s. 1-23. ISSN 0307-904X. | cs |
| dc.identifier.document-number | 606310600001 | |
| dc.identifier.doi | 10.1016/j.apm.2020.08.044 | |
| dc.identifier.issn | 0307-904X | |
| dc.identifier.obd | 43930411 | |
| dc.identifier.uri | 2-s2.0-85092219509 | |
| dc.identifier.uri | http://hdl.handle.net/11025/42920 | |
| dc.language.iso | en | en |
| dc.project.ID | LO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnost | cs |
| dc.project.ID | GA17-01618S/Akustika kapalin v periodických mikroarchitekturách | cs |
| dc.project.ID | GA19-04956S/Dynamika a nelineární chování pokročilých kompozitních struktur | cs |
| dc.project.ID | EF17_048/0007280/Aplikace moderních technologií v medicíně a průmyslu | cs |
| dc.publisher | Elsevier | fr |
| dc.relation.ispartofseries | Applied Mathematical Modelling | hu |
| dc.rights | Plný text je přístupný v rámci univerzity přihlášeným uživatelům. | cs |
| dc.rights | © Elsevier | en |
| dc.rights.access | restrictedAccess | en |
| dc.subject.translated | Poroelasticity | hu |
| dc.subject.translated | Biot model | hu |
| dc.subject.translated | Floquet-Bloch waves | hu |
| dc.subject.translated | Wave dispersion | hu |
| dc.subject.translated | Periodic media | hu |
| dc.subject.translated | Homogenization | hu |
| dc.title | Homogenization approach and Floquet-Bloch theory for wave analysis in fluid-saturated porous media with mesoscopic heterogeneities | fr |
| dc.type | článek | cs |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
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