Homogenization results for a coupled system modelling immiscible compressible two-phase flow in porous media by the concept of global pressure

DOI10.1080/00036811.2012.682059zbMath1271.35005OpenAlexW2061465387WikidataQ58251321 ScholiaQ58251321MaRDI QIDQ2844774

Anja Vrbaški, Mladen Jurak, Brahim Amaziane

Publication date: 19 August 2013

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

Full work available at URL: https://doi.org/10.1080/00036811.2012.682059

zbMATH Keywords

homogenizationtwo-phase flowheterogeneous porous mediawater-hydrogennuclear wasteglobal pressurecompressible immiscible

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Liquid-gas two-phase flows, bubbly flows (76T10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (9)

Homogenization of degenerate coupled fluid flows and heat transport through porous media ⋮ Homogenization of Richards' equations in multiscale porous media with soft inclusions ⋮ Upscaling a Navier-Stokes-Cahn-Hilliard model for two-phase porous-media flow with solute-dependent surface tension effects ⋮ An improved homogenization result for immiscible compressible two-phase flow in porous media ⋮ Homogenization of immiscible compressible two-phase flow in highly heterogeneous porous media with discontinuous capillary pressures ⋮ On existence, uniqueness and two-scale convergence of a model for coupled flows in heterogeneous media ⋮ Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media ⋮ Homogenization of coupled immiscible compressible two-phase flow with kinetics in porous media ⋮ Homogenization of compressible two-phase two-component flow in porous media

Cites Work

• Scaling up of source terms with random behavior for modelling transport migration of contaminants in aquifers
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• Weak solutions for immiscible compressible multifluid flows in porous media
• Homogenization of Immiscible Compressible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository
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• Modelling of an underground waste disposal site by upscaling
• Averaging of a Singular Random Source Term in a Diffusion Convection Equation
• A Homogenized Model of an Underground Waste Repository Including a Disturbed Zone

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