On the Density Variability of Poissonian Discrete Fracture Networks, with application to power-law fracture size distributions
<p>This paper presents analytical solutions to estimate at any scale the fracture density variability associated to stochastic Discrete Fracture Networks. These analytical solutions are based upon the assumption that each fracture in the network is an independent event. Analytical solutions ar...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Copernicus Publications
2019-09-01
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| Series: | Advances in Geosciences |
| Online Access: | https://www.adv-geosci.net/49/77/2019/adgeo-49-77-2019.pdf |
| Summary: | <p>This paper presents analytical solutions to estimate at
any scale the fracture density variability associated to stochastic Discrete
Fracture Networks. These analytical solutions are based upon the assumption
that each fracture in the network is an independent event. Analytical
solutions are developed for any kind of fracture density indicators. Those
analytical solutions are verified by numerical computing of the fracture
density variability in three-dimensional stochastic Discrete Fracture
Network (DFN) models following various orientation and size distributions,
including the heavy-tailed power-law fracture size distribution. We show
that this variability is dependent on the fracture size distribution and the
measurement scale, but not on the orientation distribution. We also show
that for networks following power-law size distribution, the scaling of the
three-dimensional fracture density variability clearly depends on the
power-law exponent.</p> |
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| ISSN: | 1680-7340 1680-7359 |