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Modeling of fluid diffusion in layers with double porosity using homogenization

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F10%3A00503909" target="_blank" >RIV/49777513:23520/10:00503909 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Modeling of fluid diffusion in layers with double porosity using homogenization

  • Original language description

    The paper deals with the perfusion in hierarchically arranged double porous media constituted by transversely periodic layers. In each layer the reference periodic cell is composed of several compartments comprising the matrix, featured by permeability decreasing with the scale parameter, and several disconnected channels where the permeability is scale independent. Homogenization of the steady Darcy flow in such medium is performed by the method of periodic unfolding. The limit model involves the homogenized permeabilities associated with the channels and the transmission and drainage coefficients associated with the mass redistribution between the microstructural compartments. The diffusion problem in 3D heterogeneous body can be replaced by a finitenumber of 2D problems describing the homogenized fluid redistribution in each homogenized layer. For such decomposition, coupling conditions governing the fluid exchange between the layers can be derived.

  • Czech name

  • Czech description

Classification

  • Type

    O - Miscellaneous

  • CEP classification

    BK - Liquid mechanics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA106%2F09%2F0740" target="_blank" >GA106/09/0740: Microstructure oriented hierarchical modeling of brain perfusion for CT based cerebral blood flow evaluation</a><br>

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2010

  • Confidentiality

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