Next Article in Journal
Study of the Sediment Transport Law in a Reverse-Slope Section of a Pressurized Pipeline
Previous Article in Journal
Adsorption of Organic Pollutants from Cold Meat Industry Wastewater by Electrochemical Coagulation: Application of Artificial Neural Networks
Article

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

by 1,†, 2,† and 2,*,†
1
Department of Petroleum Engineering, Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar
2
Science program, Texas A&M University at Qatar, P.O. Box 23874 Doha, Qatar
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Water 2020, 12(11), 3041; https://doi.org/10.3390/w12113041
Received: 12 September 2020 / Revised: 11 October 2020 / Accepted: 22 October 2020 / Published: 29 October 2020
(This article belongs to the Section Hydraulics and Hydrodynamics)
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. View Full-Text
Keywords: Darcy’s law; two-phase flows; phases coupling; fractional flow; Buckley–Leverett theory; capillary pressure Darcy’s law; two-phase flows; phases coupling; fractional flow; Buckley–Leverett theory; capillary pressure
Show Figures

Figure 1

MDPI and ACS Style

Guérillot, D.; Kadiri, M.; Trabelsi, S. Buckley–Leverett Theory for Two-Phase Immiscible Fluids Flow Model with Explicit Phase-Coupling Terms. Water 2020, 12, 3041. https://doi.org/10.3390/w12113041

AMA Style

Guérillot D, Kadiri M, Trabelsi S. Buckley–Leverett Theory for Two-Phase Immiscible Fluids Flow Model with Explicit Phase-Coupling Terms. Water. 2020; 12(11):3041. https://doi.org/10.3390/w12113041

Chicago/Turabian Style

Guérillot, Dominique; Kadiri, Mostafa; Trabelsi, Saber. 2020. "Buckley–Leverett Theory for Two-Phase Immiscible Fluids Flow Model with Explicit Phase-Coupling Terms" Water 12, no. 11: 3041. https://doi.org/10.3390/w12113041

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop