Effective equations of two-phase flow in random media

DOI10.1007/BF01189397zbMath0824.35099MaRDI QIDQ1894807

Serguei M. Kozlov, Andro Mikelić, Alain Bourgeat

Publication date: 26 July 1995

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

strong convergencestochastic homogenizationincompressible two-phase flow in heterogeneous reservoirs with randomly placed heterogeneities

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Multiphase and multicomponent flows (76T99) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (9)

Boundary homogenization in domains with randomly oscillating boundary ⋮ Numerical strategy for unbiased homogenization of random materials ⋮ Homogenization of a stochastic nonlinear reaction-diffusion equation with a large reaction term: the almost periodic framework ⋮ Homogenization of immiscible compressible two-phase flow in random porous media ⋮ HOMOGENIZATION OF THE DEGENERATE TWO-PHASE FLOW EQUATIONS ⋮ Homogenization of a three-phase flow model in porous media ⋮ JHomogenizer: a computational tool for upscaling permeability for flow in heterogeneous porous media ⋮ A two level scaling-up method for multiphase flow in porous media; numerical validation and comparison with other methods ⋮ Taking into account general boundary conditions in upscaling absolute permeability

Cites Work

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• Homogenized behavior of two-phase flows in naturally fractured reservoirs with uniform fractures distribution
• Geometric aspects of averaging
• Stability of miscible displacements in porous media: Rectilinear flow
• A convergence theorem for homogenization of two-phase miscible flow through fractured reservoirs with uniform fracture distributions
• AVERAGING OF RANDOM OPERATORS

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