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Numerical study of geometrical dispersion in self-affine rough fractures

Plouraboué, Franck and Hulin, Jean-Pierre and Roux, Stéphane and Koplik, Joel Numerical study of geometrical dispersion in self-affine rough fractures. (1998) Physical Review E, 58 (3). 3334-3346. ISSN 1063-651X

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Official URL: http://dx.doi.org/10.1103/PhysRevE.58.3334


We report a numerical study of passive tracer dispersion in fractures with rough walls modeled as the space between two complementary self-affine surfaces rigidly translated with respect to each other. Geometrical dispersion due to the disorder of the velocity distribution is computed using the lubrication approximation. Using a spectral perturbative scheme to solve the flow problem and a mapping coordinate method to compute dispersion, we perform extensive ensemble averaged simulations to test theoretical predictions on the dispersion dependence on simple geometrical parameters. We observe the expected quadratic dispersion coefficient dependence on both the mean aperture and the relative shift of the crack as of well as the anomalous dispersion dependence on tracer traveling distance. We also characterize the anisotropy of the dispersion front, which progressively wrinkles into a self-affine curve whose exponent is equal to that of the fracture surface.

Item Type:Article
Additional Information:Thanks to APS editor. The original PDF is available at http://pre.aps.org/
HAL Id:hal-03607686
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Other partners > Université Pierre et Marie Curie, Paris 6 - UPMC (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > City University of New-York - CUNY (USA)
Other partners > Université Paris-Sud 11 (FRANCE)
Laboratory name:
Deposited On:10 May 2012 08:58

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