Modelling of waves in fluid‐saturated porous media with high contrast heterogeneity: homogenization approach

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43952349" target="_blank" >RIV/49777513:23520/18:43952349 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1002/zamm.201700062" target="_blank" >http://dx.doi.org/10.1002/zamm.201700062</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/zamm.201700062" target="_blank" >10.1002/zamm.201700062</a>

Result language

angličtina

Original language name

Modelling of waves in fluid‐saturated porous media with high contrast heterogeneity: homogenization approach

Original language description

The paper deals with homogenization of a double porosity fluid‐saturated periodic medium. At the mesoscopic level, dynamic behaviour of the medium is described by the Biot model featured by high contrasts in the permeability and the poroelastic coefficients. The fluid flow is governed by the Darcy flow model extended by inertia terms and by the mass conservation equation. To respect the high contrasts, some of the material properties are scaled by the small parameter which characterizes the size of the heterogeneities being subject of the asymptotic analysis. The macroscopic model of the medium is obtained using the two‐scale homogenization based on the periodic unfolding method. For this, the Laplace transformation in time is used to introduce the local autonomous problems for characteristic responses defining the effective medium properties. In comparison with the low contrast heterogeneous medium, the microflow in the double porosity gives rise to the fading memory effects involved also in the macroscopic poroviscoelastic constitutive law. The problem treated in the paper is an extension of previously studied problems with either rigid skeleton part, or deformable Biot ‘medium without high contrasts in material properties. Numerical illustrations of the homogenized effective model parameters are given. The derived two‐scale model is a convenient tool for studying wave propagation in many natural media and provides a basis for material research.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20302 - Applied mechanics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

ISSN

0044-2267

e-ISSN

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Volume of the periodical

98

Issue of the periodical within the volume

9

Country of publishing house

DE - GERMANY

Number of pages

35

Pages from-to

1699-1733

UT code for WoS article

000443716300012

EID of the result in the Scopus database

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