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Pré-Publication, Document De Travail Année : 2020

A thermodynamic formulation for multiphase compositional flows in porous media

Résumé

The main purpose of this work is to develop a practical and consistent model of multi-phase flow in porous media. The thermodynamics of irreversible processes is applied to the representative elementary volume of a porous medium filled with multiple com-positional fluids. The entropy production is derived and analyzed in order to establish phenomenological equations for the macroscopic fluxes and an equation of state for the matrix-fluids-interfaces system at equilibrium. The entropy dissipation due to the transformation of the interfaces is identified and its analysis gives a new model for capillarity with two phases or more. The physical model is formulated in a well-posed system of elliptic-parabolic differential equations based on a set of persistent primary variables. The formulation encompasses a wide range of classical models and extends them by handling an arbitrary number of phases and components.
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Dates et versions

hal-02925433 , version 1 (01-09-2020)

Identifiants

  • HAL Id : hal-02925433 , version 1

Citer

Farid F Smaï. A thermodynamic formulation for multiphase compositional flows in porous media. 2020. ⟨hal-02925433⟩

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