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

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

Research output: Contribution to journalArticlepeer-review


The evolution and spatial structure of displacement fronts in fractures with self-affine rough walls are studied by numerical simulations. The fractures are open and the two faces are identical but shifted along their mean plane, either parallel or perpendicular to the flow. An initially flat front advected by the flow is progressively distorted into a self-affine front with a Hurst exponent equal to that of the fracture walls. The lower cutoff of the self-affine regime depends only on the aperture, while the upper cutoff grows with the lateral shift and linearly with the width of the front.

Original languageEnglish (US)
Pages (from-to)4
Number of pages1
JournalPhysical review letters
Issue number1
StatePublished - 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)


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