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Applicable Analysis
An International Journal
Volume 95, 2016 - Issue 10: Mathematical & Numerical Analysis of Flow and Transport in Porous Media
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Original Articles

A fully homogenized model for incompressible two-phase flow in double porosity media

Mladen JurakFaculty of Science, Department of Mathematics, University of Zagreb, Bijenička 30, 10000Zagreb, Croatia.View further author information
,
Leonid PankratovLaboratory of Fluid Dynamics and Seismics, Moscow Institute of Physics and Technology, 9 Institutskiy per., Dolgoprudny, Moscow Region, 141700Russian Federation.;Department of Mathematics, B. Verkin Institute for Low Temperature Physics and Engineering, 47, av. Lenin, 61103Kharkov, Ukraine.View further author information
&
Anja VrbaškiFaculty of Science, Department of Mathematics, University of Zagreb, Bijenička 30, 10000Zagreb, Croatia.Correspondence[email protected]
View further author information
Pages 2280-2299 | Received 17 Jan 2015, Accepted 16 Mar 2015, Published online: 13 Apr 2015

Citations (10)

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Read on this site (3)

B. Amaziane & L. Pankratov. (2022) Homogenization of coupled immiscible compressible two-phase flow with kinetics in porous media. Applicable Analysis 101:1, pages 241-262.
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Anton Voloshin, Leonid Pankratov & Andrey Konyukhov. (2019) Homogenization of Kondaurov’s non-equilibrium two-phase flow in double porosity media. Applicable Analysis 98:8, pages 1429-1450.
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Andrey Konyukhov & Leonid Pankratov. (2016) Upscaling of an immiscible non-equilibrium two-phase flow in double porosity media. Applicable Analysis 95:10, pages 2300-2322.
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Articles from other publishers (7)

M Jurak, L Pankratov & A Vrbaški. (2024) Discretization schemes for the two simplified global double porosity models of immiscible incompressible two-phase flow. Journal of Physics: Conference Series 2701:1, pages 012077.
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M. Jurak, L. Pankratov & A. Vrbaški. (2023) Some remarks on simplified double porosity model of immiscible incompressible two-phase flow. Asymptotic Analysis 135:3-4, pages 581-594.
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B. Amaziane, M. Jurak, L. Pankratov & A. Piatnitski. (2021) Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media. Nonlinear Analysis: Real World Applications 61, pages 103323.
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A. Konyukhov, L. Pankratov & A. Voloshin. (2021) Appearance of the instability from the inhomogeneity in two-phase flow with gas-producing reaction in fractured porous medium. Physics of Fluids 33:1.
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B. Amaziane, M. Jurak, L. Pankratov & A. Piatnitski. (2018) Homogenization of nonisothermal immiscible incompressible two-phase flow in porous media. Nonlinear Analysis: Real World Applications 43, pages 192-212.
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Andrey Konyukhov & Leonid Pankratov. (2016) New non-equilibrium matrix imbibition equation for double porosity model. Comptes Rendus. Mécanique 344:7, pages 510-520.
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Brahim Amaziane, Mikhail Panfilov & Leonid Pankratov. (2016) Homogenized Model of Two-Phase Flow with Local Nonequilibrium in Double Porosity Media. Advances in Mathematical Physics 2016, pages 1-13.
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