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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

20302 - Applied mechanics

Projekt

Výsledek vznikl pri realizaci vícero projektů. Více informací v záložce Projekty.

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik

ISSN

0044-2267

e-ISSN

—

Svazek periodika

98

Číslo periodika v rámci svazku

9

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

35

Strana od-do

1699-1733

Kód UT WoS článku

000443716300012

EID výsledku v databázi Scopus

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