Homogenization of fluid saturated double porosity media with a new type of the contrast in the Biot mesoscopic model

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F24%3A43970388" target="_blank" >RIV/49777513:23520/24:43970388 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0307904X23004481?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0307904X23004481?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.apm.2023.10.008" target="_blank" >10.1016/j.apm.2023.10.008</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Homogenization of fluid saturated double porosity media with a new type of the contrast in the Biot mesoscopic model

Popis výsledku v původním jazyce

This paper presents a mathematical model of a double poro-elastic medium derived by the homogenization of a two-component periodically heterogeneous Biot continuum characterized by strong heterogeneities in the permeability and poroelastic coefficients of mesoscopic structure. A new scaling of the mesoscopic material parameters with respect to the small parameter which is involved in the asymptotic analysis is introduced to capture this high contrast quality of the mesoscopic model. It is shown that such a scaling ansatz of the mesoscopic material parameters can be justified using different micromodels associated with the two mesoscopic components. While the “matrix” is a little permeable stiff phase, the “conductive channels” are made of a very soft fibrous structure equivalently represented by an network of helical springs. The unfolding method of the homogenization is employed to derive the macroscopic model involving the frequency-dependent effective parameters. Semipermeable interfaces between hard dual porosity and soft primary porosity are considered. The wave dispersion of two shear wave modes S1, S2, and two pressure wave modes P 1, P 2, is illustrated in an numerical example and validated, in a part, using the reference dispersion analysis based on the Bloch wave decomposition.

Název v anglickém jazyce

Homogenization of fluid saturated double porosity media with a new type of the contrast in the Biot mesoscopic model

Popis výsledku anglicky

This paper presents a mathematical model of a double poro-elastic medium derived by the homogenization of a two-component periodically heterogeneous Biot continuum characterized by strong heterogeneities in the permeability and poroelastic coefficients of mesoscopic structure. A new scaling of the mesoscopic material parameters with respect to the small parameter which is involved in the asymptotic analysis is introduced to capture this high contrast quality of the mesoscopic model. It is shown that such a scaling ansatz of the mesoscopic material parameters can be justified using different micromodels associated with the two mesoscopic components. While the “matrix” is a little permeable stiff phase, the “conductive channels” are made of a very soft fibrous structure equivalently represented by an network of helical springs. The unfolding method of the homogenization is employed to derive the macroscopic model involving the frequency-dependent effective parameters. Semipermeable interfaces between hard dual porosity and soft primary porosity are considered. The wave dispersion of two shear wave modes S1, S2, and two pressure wave modes P 1, P 2, is illustrated in an numerical example and validated, in a part, using the reference dispersion analysis based on the Bloch wave decomposition.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20302 - Applied mechanics

Projekt

<a href="/cs/project/GA21-16406S" target="_blank" >GA21-16406S: Nelineární akustika a transportní procesy v porézních periodických strukturách</a><br>

Návaznosti

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

Rok uplatnění

2024

Kód důvěrnosti údajů

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

Název periodika

APPLIED MATHEMATICAL MODELLING

ISSN

0307-904X

e-ISSN

1872-8480

Svazek periodika

125

Číslo periodika v rámci svazku

JAN 2024

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

28

Strana od-do

750-777

Kód UT WoS článku

001093508300001

EID výsledku v databázi Scopus

2-s2.0-85174628479