Fractal fronts in fractal fractures: large and small-scale structure

Details Fractal fronts in fractal fractures: large and small-scale structure Fractal fronts in fractal fractures: large and small-scale structure

2003-07-22

arxiv.org/abs/cond-mat/0307545v1

Phys. Rev. Lett. 92, 014501 (2004)

Physics

Condensed Matter

Statistical Mechanics

Submitted to Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.92.014501

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 Hurst exponent equal to that of the fracture walls. The lower cutoff of the self-affine regime depends on the aperture and lateral shift, while the upper cutoff grows linearly with the width of the front.

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