Title: On approaches, methods and problems related to wave dispersion in porous media
Authors: Rohan, E.
Nguyen, V.-H.
Lukeš, V.
Cimrman, R.
Naili, S.
Citation: Computational mechanics 2018: book of extended abstracts: 34th conference with international participation, p. 91-92.
Issue Date: 2018
Publisher: Západočeská univerzita v Plzni
Document type: konferenční příspěvek
URI: http://hdl.handle.net/11025/30823
ISBN: 978-80-261-0819-1
Keywords: výpočetní modelování;měření vln;tekutinou nasycené porézní pevné látky;vlnová analýza
Keywords in different language: computational modelling;waves propagation;fluid-saturated porous solid;wave analysis
Abstract in different language: The paper is devoted to modelling of wave propagation in fluid saturated porous media. The aim is to compare two approaches suitable for wave analysis in periodic structures. The homogenization-based method provides macroscopic models and relies on scale separation, such that the wave length should be much longer than the heterogeneity size. The method based on the Bloch-Floquet theory is applicable for analyzing plane wave propagation in infinite continua only, but enables to capture also effects of Bragg?s scattering. Application of these two methods for computing the dispersion curves of the two-phase media with deformable and rigid skeletons is discussed in the context of two kinds of porous media: 1) deformable fluid-saturated porous media described by the Biot model at the mesoscopic scale, 2) waves in fluids saturating rigid porous structures. Computational studies based on the Bloch wave decomposition were performed for numerical models obtained using the finite element discretization of the corresponding problems imposed in the representative volume element. The results presented in terms of dispersion curves are compared with analogous results obtained using the homogenized models providing directly the shear and pressure wave responses.
Rights: Copyright © 2018 University of West Bohemia, Plzeň, Czech Republic
Appears in Collections:Konferenční příspěvky / Conference papers (NTIS)
Computational mechanics 2018
Computational mechanics 2018

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