Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2009032 ◽

2009 ◽

Vol 43 (5) ◽

pp. 973-1001 ◽

Author(s):

Clément Cancès

Keyword(s):

Porous Media ◽

Capillary Pressure ◽

Finite Volume ◽

Heterogeneous Porous Media ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Two Phase ◽

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A Convergent Finite Volume Scheme for Two-Phase Flows in Porous Media with Discontinuous Capillary Pressure Field

Finite Volumes for Complex Applications VI Problems & Perspectives - Springer Proceedings in Mathematics ◽

10.1007/978-3-642-20671-9_20 ◽

2011 ◽

pp. 185-193 ◽

Author(s):

K. Brenner ◽

C. Cancès ◽

D. Hilhorst

Keyword(s):

Porous Media ◽

Capillary Pressure ◽

Finite Volume ◽

Pressure Field ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Two Phase ◽

Volume Scheme ◽

Flows In Porous Media

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Positivity-preserving finite volume scheme for compressible two-phase flows in anisotropic porous media: The densities are depending on the physical pressures

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109233 ◽

2020 ◽

Vol 407 ◽

pp. 109233 ◽

Author(s):

Mustapha Ghilani ◽

El Houssaine Quenjel ◽

Mazen Saad

Keyword(s):

Porous Media ◽

Finite Volume ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Positivity Preserving ◽

Two Phase ◽

Anisotropic Porous Media ◽

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A Finite Volume Scheme for Darcy-Brinkman’s Model of Two-Phase Flows in Porous Media

Progress in Industrial Mathematics at ECMI 2016 - Mathematics in Industry ◽

10.1007/978-3-319-63082-3_104 ◽

2017 ◽

pp. 695-703

Author(s):

Houssein Nasser El Dine ◽

Mazen Saad ◽

Raafat Talhouk

Keyword(s):

Porous Media ◽

Finite Volume ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Two Phase ◽

Volume Scheme ◽

Flows In Porous Media

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Hybrid finite volume scheme for a two-phase flow in heterogeneous porous media

ESAIM Proceedings ◽

10.1051/proc/201235016 ◽

2012 ◽

Vol 35 ◽

pp. 210-215 ◽

Author(s):

Konstantin Brenner

Keyword(s):

Porous Media ◽

Finite Volume ◽

Two Phase Flow ◽

Heterogeneous Porous Media ◽

Finite Volume Scheme ◽

Two Phase ◽

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Convergence of a finite volume scheme for immiscible compressible two-phase flow in porous media by the concept of the global pressure

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113728 ◽

2021 ◽

pp. 113728

Author(s):

Brahim Amaziane ◽

Mladen Jurak ◽

Ivana Radišić

Keyword(s):

Porous Media ◽

Finite Volume ◽

Two Phase Flow ◽

Flow In Porous Media ◽

Finite Volume Scheme ◽

Two Phase ◽

Volume Scheme ◽

Global Pressure

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A Finite Volume Scheme for Two-Phase Immiscible Flow in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142900382739 ◽

2003 ◽

Vol 41 (4) ◽

pp. 1301-1317 ◽

Author(s):

Anthony Michel

Keyword(s):

Porous Media ◽

Finite Volume ◽

Flow In Porous Media ◽

Finite Volume Scheme ◽

Immiscible Flow ◽

Two Phase ◽

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Finite Volume Scheme for Coupling Two–Phase Flow with Reactive Transport in Porous Media

Springer Proceedings in Mathematics & Statistics - Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems ◽

10.1007/978-3-319-57394-6_43 ◽

2017 ◽

pp. 407-415

Author(s):

E. Ahusborde ◽

B. Amaziane ◽

M. El Ossmani

Keyword(s):

Porous Media ◽

Finite Volume ◽

Reactive Transport ◽

Two Phase Flow ◽

Finite Volume Scheme ◽

Two Phase ◽

Volume Scheme ◽

Transport In Porous Media

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Numerical simulation of two-phase flows in 2-D petroleum reservoirs using a very high-order CPR method coupled to the MPFA-D finite volume scheme

Journal of Petroleum Science and Engineering ◽

10.1016/j.petrol.2020.107220 ◽

2020 ◽

Vol 192 ◽

pp. 107220

Author(s):

G. Galindez-Ramirez ◽

F.R.L. Contreras ◽

D.K.E. Carvalho ◽

P.R.M. Lyra

Keyword(s):

Numerical Simulation ◽

Finite Volume ◽

Petroleum Reservoirs ◽

Finite Volume Scheme ◽

Two Phase Flows ◽

Two Phase ◽

Volume Scheme ◽

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Convergence of an MPFA finite volume scheme for a two‐phase porous media flow model with dynamic capillarity

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx078 ◽

2018 ◽

Author(s):

X Cao ◽

S F Nemadjieu ◽

I S Pop

Keyword(s):

Porous Media ◽

Finite Volume ◽

Porous Media Flow ◽

Finite Volume Scheme ◽

Two Phase ◽

Volume Scheme ◽

Dynamic Capillarity

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Study of Full Implicit Petroleum Engineering Finite-Volume Scheme for Compressible Two-Phase Flow in Porous Media

SIAM Journal on Numerical Analysis ◽

10.1137/120869092 ◽

2013 ◽

Vol 51 (1) ◽

pp. 716-741 ◽

Author(s):

Bilal Saad ◽

Mazen Saad

Keyword(s):

Porous Media ◽

Finite Volume ◽

Two Phase Flow ◽

Flow In Porous Media ◽

Petroleum Engineering ◽

Finite Volume Scheme ◽

Two Phase ◽

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