Numerical modelling of waves in double-porosity Biot medium

dc.contributor.authorRohan, Eduard
dc.contributor.authorNguyen, Vu-Hieu
dc.contributor.authorNaili, Salah
dc.date.accessioned2020-08-31T10:00:19Z
dc.date.available2020-08-31T10:00:19Z
dc.date.issued2020
dc.description.abstract-translatedWe consider acoustic waves in fluid-saturated periodic media with large contrasts in the permeability and other poroelastic coefficients, whereby some of the mesoscopic material parameters depend on the scale parameter. The effective behaviour is described by a model obtained using the homogenization of the heterogeneous Biot continuum relevant to the mesoscopic level at which the dual porosity is featured by low permeability, whereas the primary porosity is very compliant. All material coefficients of the homogenized model depend on the frequency of incident waves. The macroscopic fields can be employed to reconstruct solutions at the mesoscopic level relevant to the heterogeneities. To validate the model, we consider heterogeneous strips with a finite scale lattice defining the heterogeneity. For such structures, the recovered mesoscopic response computed using the numerical homogenization method is compared with direct numerical simulations for various contrasts. For media featured by large contrast the double porosity model provides much better estimates of the wavelengths and other dispersion properties than the standard single porosity homogenized model. Moreover, the performed tests show computational efficiency of the two-scale simulations using the homogenized model, while the direct simulations of a heterogeneous medium become unfeasible because of requirements on the finite element discretization.en
dc.format14 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationROHAN, E., NGUYEN, V., NAILI, S. Numerical modelling of waves in double-porosity Biot medium. Computers & Structures, 2020, č. 232, s. [1-13]. ISSN 0045-7949.en
dc.identifier.document-number528292700012
dc.identifier.doi10.1016/j.compstruc.2017.09.003
dc.identifier.issn0045-7949
dc.identifier.obd43920206
dc.identifier.uri2-s2.0-85030837928
dc.identifier.urihttp://hdl.handle.net/11025/39532
dc.language.isoenen
dc.project.IDLO1506/PUNTIS - Podpora udržitelnosti centra NTIS - Nové technologie pro informační společnostcs
dc.project.IDGA17-01618S/ Akustika kapalin v periodických mikroarchitekturáchcs
dc.publisherElsevieren
dc.relation.ispartofseriesComputers & Structuresen
dc.rights© Elsevieren
dc.rights.accessopenAccessen
dc.subject.translatedPoroelasticity, Biot model, Homogenization, Double-porosity, Wave propagation, Numerical simulationen
dc.titleNumerical modelling of waves in double-porosity Biot mediumen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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