Buckley–Leverett Theory for Two-Phase Immiscible Fluids Flow Model with Explicit Phase-Coupling Terms Academic Article

abstract

• The theory of two-phase immiscible flow in porous media is based on the extension of single phase models through the concept of relative permeabilities. It mimics Darcy’s law for a fixed average saturation through the introduction of saturation-based permeabilities to model the momentum exchange between the phases. In this paper, we present a model of two-phase flow, based on the extension of Darcy’s law including the effect of capillary pressure, but considering in addition the coupling between the phases modeled through flow cross-terms. In this work, we extend the Buckley–Leverett theory to the subsequent model, and provide numerical experiments shading the light on the effect of the coupling cross-terms in comparison to the classical Darcy’s approach.

published proceedings

• WATER

author list (cited authors)

• Guérillot, D., Kadiri, M., & Trabelsi, S.

citation count

• 4

complete list of authors

• Guérillot, Dominique||Kadiri, Mostafa||Trabelsi, Saber

publication date

• October 2020

publisher

• MDPI  Publisher

published in

• Water (Switzerland)  Journal

keywords

• Buckley–
• Capillary Pressure
• Darcy’
• Fractional Flow
• Leverett Theory
• Phases Coupling
• S Law
• Two-phase Flows

Digital Object Identifier (DOI)

• 10.3390/w12113041

start page

• 3041

end page

• 3041

volume

• 12

issue

• 11

URL

• http://dx.doi.org/10.3390/w12113041