Please use this identifier to cite or link to this item: https://doi.org/10.1002/nag.286
Title: Numerical solutions for flow in porous media
Authors: Wang, JG 
Leung, CF 
Chow, YK 
Keywords: Science & Technology
Technology
Engineering, Geological
Materials Science, Multidisciplinary
Mechanics
Engineering
Materials Science
homogenization method
characteristic flow
penalty method
permeability
constraint water film
two-dimensional effect
anisotropy
STOKES-FLOW
HOMOGENIZATION
EQUATIONS
Issue Date: 1-Jun-2003
Publisher: JOHN WILEY & SONS LTD
Citation: Wang, JG, Leung, CF, Chow, YK (2003-06-01). Numerical solutions for flow in porous media. INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS 27 (7) : 565-583. ScholarBank@NUS Repository. https://doi.org/10.1002/nag.286
Abstract: A numerical approach is proposed to model the flow in porous media using homogenization theory. The proposed concept involves the analyses of micro-true flow at pore-level and macro-seepage flow at macro-level. Macro-seepage and microscopic characteristic flow equations are first derived from the Navier-Stokes equation at low Reynolds number through a two-scale homogenization method. This homogenization method adopts an asymptotic expansion of velocity and pressure through the microstructures of porous media. A slightly compressible condition is introduced to express the characteristic flow through only characteristic velocity. This characteristic flow is then numerically solved using a penalty FEM scheme. Reduced integration technique is introduced for the volumetric term to avoid mesh locking. Finally, the numerical model is examined using two sets of permeability test data on clay and one set of permeability test data on sand. The numerical predictions agree well with the experimental data if constraint water film is considered for clay and two-dimensional cross-connection effect is included for sand. © 2003 John Wiley and Sons, Ltd.
Source Title: INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
URI: https://scholarbank.nus.edu.sg/handle/10635/211376
ISSN: 03639061
10969853
DOI: 10.1002/nag.286
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