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Book Chapter

Flow in multiscale fractal fracture networks

By
P. Davy
P. Davy
1
Géosciences Rennes
UMR 6118 CNRS, Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex, France
Philippe.Davy@univ-rennesl.fr
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;
O. Bour
O. Bour
1
Géosciences Rennes
UMR 6118 CNRS, Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex, France
Philippe.Davy@univ-rennesl.fr
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;
J.-R. De Dreuzy
J.-R. De Dreuzy
1
Géosciences Rennes
UMR 6118 CNRS, Université de Rennes I, Campus de Beaulieu, 35042 Rennes Cedex, France
Philippe.Davy@univ-rennesl.fr
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C. Darcel
C. Darcel
2
ITASCA Consultants SA 64, chemin des Mouilles
69130 Ecully, France
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Published:
January 01, 2006

Abstract

The paper aims at defining the flow models, including equivalent permeability, that are appropriate for multiscale fracture networks. As a prerequisite of the flow analysis, we define the scaling nature of fracture networks that is likely quantified by power-law length distributions whose exponent fixes the contribution of large fractures versus small ones. Despite the absence of any characteristic length scale of the power-law model, the flow structure appears to contain three length scales at the very maximum: the connecting scale, the channelling scale, and the homogenization scale, above which the equivalent permeability tends to a constant value. These scales, including their existence, depend on the fracture length distribution and on the transmissivity distribution per fracture. They are basic in defining the flow properties of fracture networks.

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Contents

Geological Society, London, Special Publications

Fractal Analysis for Natural Hazards

G. Cello
G. Cello
University of Camerino, Italy
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B. D. Malamud
B. D. Malamud
King's College London, UK
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Geological Society of London
Volume
261
ISBN electronic:
9781862395091
Publication date:
January 01, 2006

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