Very Compressible Fluid Flow through a Porous Medium with Double Porosity
Résumé
We investigate the macroscopic quasi-static description of a porous rigid medium with
a double porosity constituted by pores and fractures. We use an homogenization method which
allows the macroscopic modelling from the description at the pore and the fracture scales. The
macroscopic description is strongly dependent upon the ratios between the different scales l/l' and
l'/l" where l, l', l" are characteristic lengths for the pores, the fractures and the macroscopic
medium, respectively. We investigate here the case: l'/f' =0((l/l')² ). The macroscopic description
whlch is obtained is a mass balance equation with a classical Darcy's law. The interest of the
investigation lies in the source term that highlights the role of a compressible fluid reservoir played
by the microporous medium.
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