Détermination de la distribution de tailles de pores d'un milieu poreux

Abstract : In this work, we present two new methods to characterize the topological properties of porous media and more precisely their pore size distribution. The first method is based on the rheological properties of yield-stress fluids (such as Bingham or Casson fluids) flowing through the porous sample. The pore size distribution can be obtained from the measurement of the total flow rate of fluid as a function of the imposed pressure gradient provided an assumption is made on the general shape of the pores. In this work, we consider the simple and well-know Carman-Kozeny model. This technique is successfully tested both analytically and numerically for classical pore size distributions such as unimodal and multimodal Gaussian distributions and is extended to more realistic viscoplastic fluids (Herschel-Bulkley model). The second method is based on the dynamical analysis of the oscillatory flow of a Newtonian or non-Newtonian fluid through the porous medium. It consists in using the hydrodynamic transfer function of the porous sample and more particularly in the characterization of its complex admittance because the penetration depth and thus the pore size is related to the pulsation frequency of the imposed pressure gradient. The same capillary bundle model (Carman-Kozeny) is used here. This technique is tested and validated on several distributions for Newtonian and power-law fluids. In order to solve this problem, we introduce the notion of " complex inconsistency ". Compared to the existing methods, the simplicity, non-toxicity and cheapness of these two new techniques make them potentially interesting.
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Aimad Oukhlef. Détermination de la distribution de tailles de pores d'un milieu poreux. Mécanique des fluides [physics.class-ph]. Arts et Métiers ParisTech, 2011. Français. ⟨NNT : 2011ENAM0047⟩. ⟨pastel-00657616v2⟩

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