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Reports (Research Report) Year : 2004

Homogenization approach to filtration through a fibrous medium


We study the flow through fibrous media using homogenization techniques. The fiber network under study is the one already used by M. Briane in the context of heat conduction of biological tissues. We derive and justify the effective Darcy equation and the permeability tensor for such fibrous media. The theoretical results on the permeability are illustrated by some numerical simulations. Finally, the low solid fraction limit is considered. Applying results by G. Allaire to our setting, we justify rigorously the leading order term in the empirical formulas for the effective permeability used in engineering. The results are also confirmed by a direct numerical calculation of the permeability, in which the small diameter of the fibers requires high accuracy approximations.
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Dates and versions

inria-00071254 , version 1 (23-05-2006)


  • HAL Id : inria-00071254 , version 1


Mohamed Belhadj, Eric Cancès, Jean-Frédéric Gerbeau, Andro Mikelic. Homogenization approach to filtration through a fibrous medium. [Research Report] RR-5277, INRIA. 2004. ⟨inria-00071254⟩
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