Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory | Zendy

Todd Arbogast | Zendy; Jim Douglas | Zendy; Ulrich Hornung | Zendy

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Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory

Author(s) -

Todd Arbogast,

Jim Douglas,

Ulrich Hornung

Publication year - 1990

Publication title -

siam journal on mathematical analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.882

H-Index - 92

eISSN - 1095-7154

pISSN - 0036-1410

DOI - 10.1137/0521046

Subject(s) - homogenization (climate) , mathematics , porosity , mathematical analysis , darcy's law , matrix (chemical analysis) , scaling , porous medium , geometry , materials science , biodiversity , ecology , composite material , biology

summary:We consider applications, illustration and concrete numerical treatments of some homogenization results on Stokes flow in porous media. In particular, we compute the global permeability tensor corresponding to an unidirectional array of circular fibers for several volume-fractions. A 3-dimensional problem is also considered

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