✦ LIBER ✦

Dynamics of two immiscible fluids flowing through deformable porous media

✍ Scribed by J.-L. Auriault; O. Lebaigue; G. Bonnet

Publisher: Springer Netherlands
Year: 1989
Tongue: English
Weight: 945 KB
Volume: 4
Category: Article
ISSN: 0169-3913
DOI: 10.1007/bf00134993

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✦ Synopsis

The macroscopic description of the dynamics of two immiscible fluids flowing through a deformable porous medium is obtained from the description of the pore scale using the homogenization theory of periodic structures. The result is a generalization of the description of saturated porous media with a BIOT structure. The homogenization process permits the complete determination of the effective parameters and the clarification of the couplings between the different phases. Two simple examples are presented for the generalized Darcy flows. Special care is taken concerning the significance of the volume averaged stress, as provided by the homogenization process. It is shown that the physical stress is different from the volume averaged stress.

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