Self-Affine Fronts in Self-Affine Fractures: Large and Small-Scale Structure

G. Drazer, H. Auradou, J. Koplik, J. P. Hulin

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24 Scopus citations


The distortions of an initially flat front of tracer particles advected through a single fracture were analyzed using Lattice-Boltzmann (LB) numerical simulations. A self-affine surface was generated numerically using a Fourier synthesis method. The fracture pore space was taken as the region between one such surface and a suitable shifted replica. The two surfaces were separated by a fixed distance, in the direction normal to the mean plane of the fracture, and then a lateral shift of the upper surface was introduced. The results show that the upper cutoff of the self-affine regime grows with the lateral shift and linearly with the width of the front.

Original languageAmerican English
Article number014501
Pages (from-to)145011-145014
Number of pages4
JournalPhysical review letters
Issue number1
StatePublished - Jan 9 2004
Externally publishedYes

ASJC Scopus subject areas

  • General Physics and Astronomy

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