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Theses

Modèle macroscopique de la dispersion diphasique en milieux poreux et fracturés

Abstract : The objective of the thesis is to develop the homogenized model of a two-phase flow through a porous and fractured medium by highlighting the dynamic mixing between the phases, caused by the medium heterogeneity. Attention is focused on the influence of the capillarity. The two-scale homogenization is applied. The mixing is manifested in form of the hydrodynamic dispersion and renormalized advection. The dispersion tensor, determined by the cell problem, is a nonlinear function of saturation, flow velocity, viscosity ratio and capillary number. For a fractured medium the method of streamline configurations was advanced for a two- phase case. This method enables to obtain the dispersion tensor and the effective permeability in analytical form for periodic fractured networks or in semi-analytical form for random networks. The simulation of two- phase displacement based on the new model is performed
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Sergey Skachkov. Modèle macroscopique de la dispersion diphasique en milieux poreux et fracturés. Autre. Institut National Polytechnique de Lorraine, 2006. Français. ⟨NNT : 2006INPL064N⟩. ⟨tel-01752763⟩

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