Upscaling multi-component two-phase flow in porous media with partitioning coefficient

This paper deals with the upscaling of multicomponents two-phase flow in porous media. In this paper, chemical potential equilibrium at the interface between both phases is assumed to be described by a linear partitioning relationship such as Raoult or Henry's law. The resulting macro-scale dispersion model is a set of two equations related by a mass transfer coefficient and which involves several effective coefficients. These coefficients can be evaluated by solving closure problems over a representative unit-cell. The proposed model is successfully validated through direct analytical and numerical calculations.

► Multicomponent two-phase flow pore scale problem is upscaled according to the volume averaging methodology. ► The resulting macroscopic system is a two-equations model linked by a mass transfer coefficient. ► All the effective coefficients are entirely determined through the computation of three closure problems. ► The proposed model is validated through direct analytical and numerical calculations.