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Tracer Dispersion in Rough Open Cracks

Roux, Stéphane and Plouraboué, Franck and Hulin, Jean-Pierre Tracer Dispersion in Rough Open Cracks. (1998) Transport in Porous Media, 32 (1). 97-116. ISSN 0169-3913

(Document in English)

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Official URL: http://dx.doi.org/10.1023/A:1006553902753


Tracer dispersion is studied in an open crack where the two rough crack faces have been translated with respect to each other. The different dispersion regimes encountered in rough-wall Hele-Shaw cell are first introduced, and the geometric dispersion regime in the case of self-affine crack surfaces is treated in detail through perturbation analysis. It is shown that a line of tracer is progressively wrinkled into a self-affine curve with an exponent equal to that of the crack surface.This leads to a global dispersion coefficient which depends on the distance from the tracer inlet, but which is still proportional to the mean advection velocity. Besides, the tracer front is subjected to a local dispersion (as could be revealed by point measurements or echo experiments) very different from the global one. The expression of this anomalous local dispersion coefficient is also obtained.

Item Type:Article
Additional Information:Thanks to Springer. The original publication is available at www.springerlink.com
HAL Id:hal-03607677
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 > Saint-Gobain (FRANCE)
Other partners > Université Pierre et Marie Curie, Paris 6 - UPMC (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Other partners > Université Paris-Sud 11 (FRANCE)
Laboratory name:
Deposited On:10 May 2012 09:17

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