Articles | Volume 49
https://doi.org/10.5194/adgeo-49-77-2019
https://doi.org/10.5194/adgeo-49-77-2019
03 Sep 2019
 | 03 Sep 2019

On the Density Variability of Poissonian Discrete Fracture Networks, with application to power-law fracture size distributions

Etienne Lavoine, Philippe Davy, Caroline Darcel, and Romain Le Goc

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Cited articles

Berkowitz, B. and Adler, P. M.: Stereological analysis of fracture network structure in geological formations, J. Geophys. Res.-Sol. Ea., 103, 15339–15360, https://doi.org/10.1029/98jb01072, 1998. 
Bogdanov, I. I., Mourzenko, V. V., Thovert, J. F., and Adler, P. M.: Effective permeability of fractured porous media with power-law distribution of fracture sizes, Phys. Rev. E, 76, 036309, https://doi.org/10.1103/PhysRevE.76.036309, 2007. 
Bonnet, E., Bour, O., Odling, N. E., Davy, P., Main, I., Cowie, P., and Berkowitz, B.: Scaling of fracture systems in geological media, Rev. Geophys., 39, 347–383, https://doi.org/10.1029/1999rg000074, 2001. 
Bour, O.: A statistical scaling model for fracture network geometry, with validation on a multiscale mapping of a joint network (Hornelen Basin, Norway), J. Geophys. Res., 107, ETG 4-1–ETG 4-12, https://doi.org/10.1029/2001jb000176, 2002. 
Bour, O. and Davy, P.: Connectivity of random fault networks following a power law fault length distribution, Water Resour. Res., 33, 1567–1583, https://doi.org/10.1029/96wr00433, 1997. 
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Short summary
In this study, we are interested in quantifying natural fracture density variability, at any scale. We develop and numerically validate analytical solutions considering stochastic Discrete Fracture Networks, with application to networks following power-law fracture size distributions. Particularly, we show that for this kind of networks, the scaling of three-dimensional fracture density variability clearly depends on the power-law exponent, but not on the orientation distribution.