Homogenization of fluid saturated double porosity media with a new type of the contrast in the Biot mesoscopic model
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Homogenization of fluid saturated double porosity media with a new type of the contrast in the Biot mesoscopic model
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
20302 - Applied mechanics
Result continuities
Project
<a href="/en/project/GA21-16406S" target="_blank" >GA21-16406S: Nonlinear Acoustics and Transport Processes in Porous Periodic Structures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
APPLIED MATHEMATICAL MODELLING
ISSN
0307-904X
e-ISSN
1872-8480
Volume of the periodical
125
Issue of the periodical within the volume
JAN 2024
Country of publishing house
US - UNITED STATES
Number of pages
28
Pages from-to
750-777
UT code for WoS article
001093508300001
EID of the result in the Scopus database
2-s2.0-85174628479