| Title: | Homogenization approach and Floquet-Bloch theory for wave analysis in fluid-saturated porous media with mesoscopic heterogeneities |
| Authors: | Rohan, Eduard Nquyen, Vu-Hieu Naili, Salah |
| 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. |
| Issue Date: | 2021 |
| Publisher: | Elsevier |
| Document type: | článek |
| URI: | 2-s2.0-85092219509 http://hdl.handle.net/11025/42920 |
| ISSN: | 0307-904X |
| Keywords in different language: | Poroelasticity;Biot model;Floquet-Bloch waves;Wave dispersion;Periodic media;Homogenization |
| Abstract in different language: | Weconsiderfluid-saturatedporoelasticmediawhosethemechanicalresponseisgovernedbytheBiotmodelrelevanttoamesoscopicscale.Assumingthematerialpropertiesbeingdescribedbyperiodicfunctions,toanalyzewavepropagationinsuchheterogeneousandanisotropicmedia,wederiveaformulationbasedontheFloquet-Bloch(FB)wavedecom-positionwhichenablestoanalyzewaveswithinthewholefirstBrillouinzoneassociatedwiththeperiodicstructure.ThewavedispersionresultsobtainedbytheFBapproacharecomparedwiththosecomputedusingamodelderivedbythehomogenizationbasedontheasymptoticanalysiswithrespecttothescaleparameter.Asanothernewingredient,thehomogenizedmodelisextendedtodescribemediasaturatedsimultaneouslybymultipledifferentfluids,sothatthemodelinvolvesnewpermeabilitytensorsanddiffersinstruc-turefromthemodelderivedearlier.ThedispersionanalysisbytheFBapproachleadstoacumbersomequadraticeigenvalueproblemtobesolvedforcomplexwavenumbers.Wesuggestanefficientfiltrationstrategytoidentifytheprinciplepropagatingmodes(thefastandslowcompressionalwavesandtheshearwaves).ForcomparisonwithresultsoftheFBtransformationappliedatthemesoscopicheterogeneityscale,thehomogenizedmodelresponsesarereconstructedusingthecorrectorresultsofthehomogenizationwithfixingafinitescale.Numericalexamplesillustrateverygoodcorrespondenceofthedispersionresults,ascomputedbyboththeapproaches. |
| Rights: | Plný text je přístupný v rámci univerzity přihlášeným uživatelům. © Elsevier |
| Appears in Collections: | Články / Articles (NTIS) OBD |
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