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

DOI10.1080/00036810310001643194zbMath1152.76460OpenAlexW2060999440WikidataQ58158127 ScholiaQ58158127MaRDI QIDQ4818341

Catherine Choquet

Publication date: 28 September 2004

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810310001643194

zbMATH Keywords

porous mediumhomogenizationdouble porositymiscible compressible displacement

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Compressible fluids and gas dynamics (76N99) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (10)

A new multicontinuum model for advection-diffusion process of single-phase nonlinear flow in a multiscale fractured porous media ⋮ Some remarks on the homogenization of immiscible incompressible two-phase flow in double porosity media ⋮ Homogenization of the Landau-Lifshitz-Gilbert equation in a contrasted composite medium ⋮ Some remarks on simplified double porosity model of immiscible incompressible two-phase flow ⋮ Homogenization of Kondaurov’s non-equilibrium two-phase flow in double porosity media ⋮ Homogenization of a model for water-gas flow through double-porosity media ⋮ Nonlinear flow through double porosity media in variable exponent Sobolev spaces ⋮ Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media ⋮ A fully homogenized model for incompressible two-phase flow in double porosity media ⋮ On the homogenization of some double-porosity models with periodic thin structures

Cites Work

• A dual-porosity model for waterflooding in naturally fractured reservoirs
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Derivation of the Double Porosity Model of Single Phase Flow via Homogenization Theory
• An extension theorem from connected sets, and homogenization in general periodic domains
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Convergence of the Homogenization Process for a Double-Porosity Model of Immiscible Two-Phase Flow
• MATHEMATICAL ANALYSIS FOR COMPRESSIBLE MISCIBLE DISPLACEMENT MODELS IN POROUS MEDIA

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