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Applicable Analysis
An International Journal
Volume 83, 2004 - Issue 5
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Original Articles

Derivation of the Double Porosity Model of a Compressible Miscible Displacement in Naturally Fractured Reservoirs

C. Choquet LMA, CNRS UMR 6620, Université Blaise Pascal, 63177 Aubière, France
Pages 477-499 | Received 04 May 2003, Accepted 03 Jun 2003, Published online: 07 Oct 2011

Citations (14)

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Read on this site (3)

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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Mladen Jurak, Leonid Pankratov & Anja Vrbaški. (2016) A fully homogenized model for incompressible two-phase flow in double porosity media. Applicable Analysis 95:10, pages 2280-2299.
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B. Amaziane, L. Pankratov & V. Rybalko. (2009) On the homogenization of some double-porosity models with periodic thin structures. Applicable Analysis 88:10-11, pages 1469-1492.
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Articles from other publishers (11)

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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Mukesh Kumar PalAnil Negi & Abhishek Kumar Singh. (2022) Propagation of Love-Type Wave in an Imperfectly Bonded Double-Porous Composite Rock Structure Impacted by Liquid Loading. International Journal of Geomechanics 22:12.
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Richard Owusu, Adu Sakyi, Isaac Kwame Dontwi & Peter Amoako-Yirenkyi. (2022) A new macro-scale volume averaged transport model for diffusive dominated non-Darcian flow problem in multi-scaled naturally fractured reservoirs. Journal of Petroleum Exploration and Production Technology 12:9, pages 2511-2522.
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Richard Owusu, Adu Sakyi, Peter Amoako-Yirenkyi & Isaac Kwame Dontwi. (2022) A New Multicontinuum Model for Advection-Diffusion Process of Single-Phase Nonlinear Flow in a Multiscale Fractured Porous Media. Journal of Applied Mathematics 2022, pages 1-14.
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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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Andrey Konyukhov, Leonid Pankratov & Anton Voloshin. (2019) The homogenized Kondaurov type non-equilibrium model of two-phase flow in multiscale non-homogeneous media. Physica Scripta 94:5, pages 054002.
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Catherine Choquet, Mohammed Moumni & Mouhcine Tilioua. (2018) Homogenization of the Landau-Lifshitz-Gilbert equation in a contrasted composite medium. Discrete & Continuous Dynamical Systems - S 11:1, pages 35-57.
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Andrea Braides, Valeria Chiadò Piat & Margherita Solci. (2016) Discrete double-porosity models for spin systems. Mathematics and Mechanics of Complex Systems 4:1, pages 79-102.
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Brahim Amaziane & Leonid Pankratov. (2016) Homogenization of a model for water-gas flow through double-porosity media. Mathematical Methods in the Applied Sciences 39:3, pages 425-451.
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Catherine Choquet & Leonid Pankratov. (2009) Nonlinear double porosity models with non-standard growth. Comptes Rendus Mécanique 337:9-10, pages 659-666.
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B. Amaziane, L. Pankratov & A. Piatnitski. (2009) Nonlinear flow through double porosity media in variable exponent Sobolev spaces. Nonlinear Analysis: Real World Applications 10:4, pages 2521-2530.
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