scholarly journals Two Phase Immiscible Fluids Flow Through A Porous Media: Finite Volume Approach

2021 ◽  
Vol 11 (12) ◽  
pp. 460-469
Author(s):  
Flomena Jeptanui ◽  
Jacob Bitok ◽  
Titus Rotich
Keyword(s):  
Porous Media ◽  
Finite Volume ◽  
Immiscible Fluids ◽  
Two Phase ◽  
Flow Through ◽  
Finite Volume Approach

scholarly journals Convergence of nonlinear finite volume schemes for two-phase porous media flow on general meshes

2020 ◽  
Author(s):  
Léo Agélas ◽  
Martin Schneider ◽  
Guillaume Enchéry ◽  
Bernd Flemisch
Keyword(s):  
Porous Media ◽  
Finite Volume ◽  
A Priori ◽  
Porous Media Flow ◽  
Finite Volume Schemes ◽  
Two Phase ◽  
Finite Volume Discretization ◽  
Flux Approximation ◽  
Specific Scheme ◽  
Flow Through

Abstract In this work we present an abstract finite volume discretization framework for incompressible immiscible two-phase flow through porous media. A priori error estimates are derived that allow us to prove the existence of discrete solutions and to establish the proof of convergence for schemes belonging to this framework. In contrast to existing publications the proof is not restricted to a specific scheme and it assumes neither symmetry nor linearity of the flux approximations. Two nonlinear schemes, namely a nonlinear two-point flux approximation and a nonlinear multipoint flux approximation, are presented, and some properties of these schemes, e.g. saturation bounds, are proven. Furthermore, the numerical behavior of these schemes (e.g. accuracy, coercivity, efficiency or saturation bounds) is investigated for different test cases for which the coercivity is checked numerically.

Numerical study on two-phase flow through fractured porous media

2011 ◽  
Vol 54 (9) ◽  
pp. 2412-2420 ◽  
Author(s):  
ZhaoQin Huang ◽  
Jun Yao ◽  
YueYing Wang ◽  
Ke Tao
Keyword(s):  
Porous Media ◽  
Two Phase Flow ◽  
Numerical Study ◽  
Fractured Porous Media ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Through

scholarly journals Pressure drop and average void fraction measurements for two-phase flow through highly permeable porous media

2016 ◽  
Vol 94 ◽  
pp. 422-432 ◽  
Author(s):  
N. Chikhi ◽  
R. Clavier ◽  
J.-P. Laurent ◽  
F. Fichot ◽  
M. Quintard
Keyword(s):  
Porous Media ◽  
Pressure Drop ◽  
Void Fraction ◽  
Two Phase Flow ◽  
Phase Flow ◽  
Two Phase ◽  
Flow Through
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