PMID: 15244726Jul 13, 2004Paper

Macroscopic permeability of three-dimensional fracture networks with power-law size distribution

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
V V MourzenkoP M Adler

Abstract

Fracture network permeability is investigated numerically by using a three-dimensional model of plane polygons uniformly distributed in space with sizes following a power-law distribution. Each network is triangulated via an advancing front technique, and the flow equations are solved in order to obtain detailed pressure and velocity fields. The macroscopic permeability is determined on a scale which significantly exceeds the size of the largest fractures. The influence of the parameters of the fracture size distribution--the power-law exponent and the minimal fracture radius--on the macroscopic permeability is analyzed. Eventually, a general expression is proposed, which is the product of a dimensional measure of the network density, weighted by the individual fracture conductivities, and of a fairly universal function of a dimensionless network density, which accounts for the influences of the fracture shapes and of the parameters of their size distribution. Two analytical formulas are proposed which successfully fit the numerical data over a wide range of network densities.

References

Dec 30, 1996·Physical Review Letters·T WalmannH H Hardy
Dec 2, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·J R de DreuzyO Bour
Mar 15, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Mahyar Madadi, Muhammad Sahimi
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I I BogdanovP M Adler

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Citations

Oct 26, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V V MourzenkoP M Adler
Jul 23, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M KhamforoushP M Adler
Nov 9, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V V MourzenkoP M Adler
Dec 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Anoosheh YazdiMuhammad Sahimi
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·V V MourzenkoP M Adler
Apr 28, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·H HamzehpourP M Adler
Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·I I BogdanovP M Adler
Apr 16, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hossein HamzehpourMuhammad Sahimi

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