Asymptotic Behavior of Two-Phase Flows in Heterogeneous Porous Media for Capillarity Depending Only on Space. II. Nonclassical Shocks to Model Oil-Trapping

SIAM Journal on Mathematical Analysis ◽

10.1137/090747993 ◽

2010 ◽

Vol 42 (2) ◽

pp. 972-995 ◽

Author(s):

Clément Cancès

Keyword(s):

Porous Media ◽

Asymptotic Behavior ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

Two Phase ◽

Download Full-text

Asymptotic Behavior of Two-Phase Flows in Heterogeneous Porous Media for Capillarity Depending Only on Space. I. Convergence to the Optimal Entropy Solution

SIAM Journal on Mathematical Analysis ◽

10.1137/090747981 ◽

2010 ◽

Vol 42 (2) ◽

pp. 946-971 ◽

Author(s):

Clément Cancès

Keyword(s):

Porous Media ◽

Asymptotic Behavior ◽

Entropy Solution ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

Download Full-text

Two-phase ﬂows involving capillary barriers in heterogeneous porous media

Interfaces and Free Boundaries ◽

10.4171/ifb/210 ◽

2009 ◽

pp. 239-258 ◽

Author(s):

Clément Cancès ◽

Thierry Gallouët ◽

Alessio Porretta

Keyword(s):

Porous Media ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

Two Phase ◽

Capillary Barriers

Download Full-text

Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2009.12.014 ◽

2010 ◽

Vol 199 (23-24) ◽

pp. 1491-1501 ◽

Author(s):

A. Ern ◽

I. Mozolevski ◽

L. Schuh

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

Two Phase ◽

Capillary Pressures

Download Full-text

Corrigendum to “Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures” [Comput. Methods Appl. Mech. Engrg. 199 (2010) 1491–1501]

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2012.05.011 ◽

2012 ◽

Vol 245-246 ◽

pp. 348-349 ◽

Author(s):

A. Ern ◽

I. Mozolevski ◽

L. Schuh

Keyword(s):

Porous Media ◽

Discontinuous Galerkin ◽

Galerkin Approximation ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

Two Phase ◽

Capillary Pressures

Download Full-text

Quasi-Characteristics Scheme with Parallel Facilities for Computations of Two-Phase Flows in Heterogeneous Porous Media

Parallel Processing and Applied Mathematics - Lecture Notes in Computer Science ◽

10.1007/3-540-48086-2_58 ◽

2002 ◽

pp. 526-534

Author(s):

Mikhail P. Levin

Keyword(s):

Porous Media ◽

Heterogeneous Porous Media ◽

Two Phase Flows ◽

Download Full-text

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 ◽

Download Full-text

A hybridizable discontinuous Galerkin method for two-phase flow in heterogeneous porous media

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5919 ◽

2018 ◽

Vol 116 (3) ◽

pp. 161-177 ◽

Author(s):

Maurice S. Fabien ◽

Matthew G. Knepley ◽

Béatrice M. Rivière

Keyword(s):

Porous Media ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Phase Flow ◽

Heterogeneous Porous Media ◽

Two Phase ◽

Hybridizable Discontinuous Galerkin ◽

Hybridizable Discontinuous Galerkin Method

Download Full-text

Gradient discretization of two-phase flows coupled with mechanical deformation in fractured porous media

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.06.017 ◽

2021 ◽

Vol 98 ◽

pp. 40-68

Author(s):

Francesco Bonaldi ◽

Konstantin Brenner ◽

Jérôme Droniou ◽

Roland Masson

Keyword(s):

Porous Media ◽

Mechanical Deformation ◽

Fractured Porous Media ◽

Two Phase Flows ◽

Download Full-text

GENERALIZED MODEL OF TWO-PHASE FLOWS IN POROUS MEDIA

Oilfield Engineering ◽

10.33285/0207-2351-2021-9(633)-30-36 ◽

2021 ◽

pp. 30-36

Author(s):

V.M. Maksimov ◽

◽

D.Yu. Semiglasov ◽

Keyword(s):

Porous Media ◽

Two Phase Flows ◽

Two Phase ◽

Generalized Model ◽

Flows In Porous Media

Download Full-text

A new model for two-phase flows at high velocities through porous media and fractures

Journal of Petroleum Science and Engineering ◽

10.1016/s0920-4105(01)00109-7 ◽

2001 ◽

Vol 30 (2) ◽

pp. 121-127 ◽

Author(s):

M. Fourar ◽

R. Lenormand

Keyword(s):

Porous Media ◽

Two Phase Flows ◽

Two Phase ◽

Download Full-text