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On the homogenization of the Buckley‐Leverett equation including trapping effects at the micro scale
Author(s) -
Schweizer Ben,
Pop Iuliu Sorin
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700804
Subject(s) - homogenization (climate) , porous medium , homogeneous , trapping , mechanics , scale (ratio) , materials science , thermodynamics , porosity , chemistry , physics , composite material , biodiversity , ecology , biology , quantum mechanics
Abstract We consider a simplified, one dimensional model for two‐phase (oil/water) flow in a porous medium. The medium consist of alternating homogeneous blocks separated by interfaces, where trapping effects may occur. Two effective models are derived in [2] and [7]. In this paper we show that the two models are equivalent. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)