Semi-analytical solution for a hyperbolic system modeling 1D polymer slug flow in porous media

Journal of Petroleum Science and Engineering ◽

10.1016/j.petrol.2014.02.005 ◽

2014 ◽

Vol 115 ◽

pp. 102-109 ◽

Author(s):

Bruno J. Vicente ◽

Viatcheslav I. Priimenko ◽

Adolfo P. Pires

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Hyperbolic System ◽

Slug Flow ◽

System Modeling ◽

Flow In Porous Media

Download Full-text

Classical solutions of a parabolic-hyperbolic system modeling a three-dimensional compressible miscible flow in porous media

Applicable Analysis ◽

10.1080/00036819908840734 ◽

1999 ◽

Vol 72 (1-2) ◽

pp. 155-168 ◽

Author(s):

Youcef Amirat ◽

Abdelhamid Ziani

Keyword(s):

Porous Media ◽

Hyperbolic System ◽

System Modeling ◽

Three Dimensional ◽

Flow In Porous Media ◽

Classical Solutions ◽

Download Full-text

Analytical solution for one-dimensional three-phase incompressible flow in porous media for concave relative permeability curves

International Journal of Non-Linear Mechanics ◽

10.1016/j.ijnonlinmec.2021.103792 ◽

2021 ◽

pp. 103792

Author(s):

Wagner Q. Barros ◽

Adolfo P. Pires ◽

Álvaro M.M. Peres

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Relative Permeability ◽

Incompressible Flow ◽

Flow In Porous Media ◽

One Dimensional ◽

Three Phase ◽

Relative Permeability Curves

Download Full-text

A new benchmark semi-analytical solution for density-driven flow in porous media

Advances in Water Resources ◽

10.1016/j.advwatres.2014.04.013 ◽

2014 ◽

Vol 70 ◽

pp. 24-35 ◽

Author(s):

Marwan Fahs ◽

Anis Younes ◽

Thierry Alex Mara

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Flow In Porous Media ◽

Density Driven Flow

Download Full-text

An Improved Semi-Analytical Solution for Verification of Numerical Models of Two-Phase Flow in Porous Media

Vadose Zone Journal ◽

10.2136/vzj2006.0024 ◽

2007 ◽

Vol 6 (1) ◽

pp. 93-104 ◽

Author(s):

Radek Fučík ◽

Jiří Mikyška ◽

Michal Beneš ◽

Tissa H. Illangasekare

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Two Phase Flow ◽

Numerical Models ◽

Flow In Porous Media ◽

Download Full-text

Analytical Solution to the Riemann Problem of Three-Phase Flow in Porous Media

Transport in Porous Media ◽

10.1023/b:tipm.0000007316.43871.1e ◽

2004 ◽

Vol 55 (1) ◽

pp. 47-70 ◽

Author(s):

Ruben Juanes ◽

Tadeusz W. Patzek

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Riemann Problem ◽

Flow In Porous Media ◽

Three Phase ◽

Three Phase Flow

Download Full-text

Analytical Solution of Viscous Flow in Porous Media Using ADM and Comparison with the Numerical Runge–Kutta Method

Transport in Porous Media ◽

10.1007/s11242-009-9421-2 ◽

2009 ◽

Vol 81 (3) ◽

pp. 527-546 ◽

Author(s):

Z. Z. Ganji ◽

D. D. Ganji

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Viscous Flow ◽

Flow In Porous Media ◽

Kutta Method ◽

Runge Kutta Method ◽

Download Full-text

An existence result for a coupled system modeling a fully equivalent global pressure formulation for immiscible compressible two-phase flow in porous media

Journal of Differential Equations ◽

10.1016/j.jde.2010.09.008 ◽

2011 ◽

Vol 250 (3) ◽

pp. 1685-1718 ◽

Author(s):

Brahim Amaziane ◽

Mladen Jurak ◽

Ana Žgaljić Keko

Keyword(s):

Porous Media ◽

Existence Result ◽

Two Phase Flow ◽

System Modeling ◽

Coupled System ◽

Flow In Porous Media ◽

Two Phase ◽

Pressure Formulation ◽

Global Pressure

Download Full-text

Global Weak Solutions for a Parabolic System Modeling a One-Dimensional Miscible Flow in Porous Media

Journal of Mathematical Analysis and Applications ◽

10.1006/jmaa.1997.5874 ◽

1998 ◽

Vol 220 (2) ◽

pp. 697-718 ◽

Author(s):

Youcef Amirat ◽

Abdelhamid Ziani

Keyword(s):

Porous Media ◽

Parabolic System ◽

Weak Solutions ◽

System Modeling ◽

Flow In Porous Media ◽

Global Weak Solutions ◽

One Dimensional ◽

Download Full-text

Improved Analytical Solution for Real Gas Flow in Porous Media

10.2118/27665-ms ◽

1994 ◽

Author(s):

Tony Chien ◽

S.H. Caudle

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Gas Flow ◽

Flow In Porous Media ◽

Download Full-text

Approximate analytical solution for MHD stagnation-point flow in porous media

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2008.02.007 ◽

2009 ◽

Vol 14 (4) ◽

pp. 1346-1354 ◽

Author(s):

S. Awang Kechil ◽

I. Hashim

Keyword(s):

Porous Media ◽

Analytical Solution ◽

Stagnation Point ◽

Approximate Analytical Solution ◽

Stagnation Point Flow ◽

Flow In Porous Media

Download Full-text