Modelling Flows in Multi-Porous Media using Homogenization with application to Liver Lobe Perfusion

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F15%3A43926227" target="_blank" >RIV/49777513:23520/15:43926227 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Modelling Flows in Multi-Porous Media using Homogenization with application to Liver Lobe Perfusion
Original language description
The paper deals with modelling the flow of viscous incompressible fluid in multiporous media using the homogenization method. The double-porous structures are described at two characteristic scales: the higher level porosity associated with the mesoscopic structure is constituted by channels in a skeleton structure which is made of a microporous material. Alternatively, the mesoscopic pores are populated by another porous material. In this case the homogenization leads to the mesoscopic Darcy flow model with large contrasts in the permeability coefficients. Its upscaling has been previously treated for two different topologies of the mesoscopic structure taking into account skeleton poroelasticity. The present paper is focused on the two-level upscaling of the flow in the rigid double-porous structure. The mesoscopic model is identical one previously proposed by others. The second-level upscaling leading to a macroscopic flow model is the new result of this paper. Its application to modelling perfusion of the liver tissue is discussed.
Czech name
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Czech description
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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
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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