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Dynamics of porous saturated media, checking of the generalized law of Darcy

Abstract : The homogenization process applied to fine periodic deformable saturated porous medium under dynamic solicitations leads to the macroscopic description. This method enables us to perform a complete calculation of the effective parameters. The main fact is that the formulation so obtained-similar to Biot's results-exhibits a generalized example of Darcy's law which contains all the dynamic couplings between the two phases. After recalling the main facts of the subject this work presents some properties of the generalized Darcy coefficient and an experimental checking. An agreement between experimental and numerical results using the homogenization process is obtained.
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https://hal.archives-ouvertes.fr/hal-02424934
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Jean-Louis Auriault, Lionel Borne, René Chambon. Dynamics of porous saturated media, checking of the generalized law of Darcy. Journal of the Acoustical Society of America, 1985, 77 (5), pp.1641-1650. ⟨10.1121/1.391962⟩. ⟨hal-02424934⟩

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