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Correlation of Occupation Profiles in Invasion Percolation

Journal Article · · Physical Review Letters; (United States)
; ;  [1]; ; ;  [2]
  1. Department of Chemical Engineering and Petroleum Engineering Program, University of Southern California, Los Angeles, California 90089-1211 (United States)
  2. Laboratoire d'Acoustique et Optique de la Matiere Condensee, Universite Pierre et Marie Curie, Tour 13, Boite 78, 75252 Paris Cedex 05 and Laboratoire Fluides Automatique et Systeme Thermique, Batiment 502, Campus Universitaire, 91405 Orsay Cedex (France)
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We study theoretically and by simulation the spatial correlation of the fluctuations of the transversely averaged fraction of the invading phase in [ital invasion] [ital percolation]. For an uncorrelated lattice, the profile has the correlation structure of the trace of [ital fractional] [ital Brownian] [ital motion] (FBM) with [ital Hurst] exponent [ital H]=[ital D][minus]2 for 3D percolation and [ital H]=[ital D][minus]1.5 for 2D percolation, where [ital D] is the fractal dimension of the percolation cluster. Extension to correlated percolation shows similar results, with the FBM signal displaying [ital persistent] correlations ([ital H][gt]0.5) in 3D and [ital antipersistent] correlations ([ital H][lt]0.5) in 2D percolation. Experiments of nonwetting fluid invasion in porous media confirm the theory in 3D.

DOE Contract Number:
FG22-90BC14600
OSTI ID:
6562608
Journal Information:
Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 74:5; ISSN 0031-9007; ISSN PRLTAO
Country of Publication:
United States
Language:
English

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Related Subjects

665000* -- Physics of Condensed Matter-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
BOUNDARY CONDITIONS
BROWNIAN MOVEMENT
CORRELATION FUNCTIONS
CRYSTAL LATTICES
CRYSTAL STRUCTURE
CUBIC LATTICES
DATA
DRAINAGE
EXPERIMENTAL DATA
FLUCTUATIONS
FLUID FLOW
FUNCTIONS
GLASS
GRAVITATION
INFORMATION
MATERIALS
NUMERICAL DATA
POROUS MATERIALS
RANDOMNESS
SATURATION
SIMULATION
SPHERES
THEORETICAL DATA
THREE-DIMENSIONAL CALCULATIONS
VARIATIONS
WETTABILITY