Avancement de la méthode de saturations négatives pour les écoulements multi-composants multi-phasiques avec gravité et diffusion

Abstract : In this thesis, two problems related to compositional multiphase flow in porous media have been treated. The first part is devoted to develop a new approach which gives a form of equilibrium equations which can be solved analytically even for multi-component non ideal systems and even in the presence of capillary effects, which reduce significantly computational time. In this approach, separate behaviors of gas, liquid and two phase fluid may be described using very simple equations of state (EOS). Capacity of EOS?s to capture two phase state is called: consistency conditions. These conditions are formulated in this part for multi-components systems. The second part is devoted to develop the negative saturations method which was proposed earlier by our group for the case of two-phase binary mixtures. First, we have developed the mathematical theory of the method for ideal mixtures in 1D case. Next, we have generalized the method for the case of any number of phases and chemical components. We have obtained the new equivalent uniform multi-phase equations which contain additional non-classical terms responsible of diffusion and gravity across the interfaces of phase transition
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Mohammed Ghesmoune. Avancement de la méthode de saturations négatives pour les écoulements multi-composants multi-phasiques avec gravité et diffusion. Autre. Université de Lorraine, 2013. Français. ⟨NNT : 2013LORR0031⟩. ⟨tel-01749562⟩

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