HOMOGENIZATION OF TWO-PHASE FLOW IN FRACTURED MEDIA

DOI10.1142/S0218202506001650zbMath1112.35018MaRDI QIDQ3422228

Li-Ming Yeh

Publication date: 9 February 2007

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

capillary pressuretwo-scale convergencedual-porosity model

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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Cites Work

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• A dual-porosity model for waterflooding in naturally fractured reservoirs
• A parallelizable method for two-phase flows in naturally-fractured reservoirs
• Flow of oil and water in a porous medium
• 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
• The existence of weak solutions to single porosity and simple dual-porosity models of two-phase incompressible flow
• Convergence of the Homogenization Process for a Double-Porosity Model of Immiscible Two-Phase Flow
• ON TWO-PHASE FLOW IN FRACTURED MEDIA