Impact of a stochastic sequential initiation of fractures on the spatial correlations and connectivity of discrete fracture networks

Abstract : Stochastic discrete fracture networks (DFNs) are classically simulated using stochastic point processes which neglect mechanical interactions between fractures and yield a low spatial correlation in a network. We propose a sequential parent-daughter Poisson point process that organizes fracture objects according to mechanical interactions while honoring statistical characterization data. The hierarchical organization of the resulting DFNs has been investigated in 3D by computing their correlation dimension. Sensitivity analysis on the input simulation parameters shows that various degrees of spatial correlation emerge from this process. A large number of realizations has been performed in order to statistically validate the method. The connectivity of these correlated fracture networks has been investigated at several scales and compared to those described in the literature. Our study quantitatively confirms that spatial correlations can affect the percolation threshold and the connectivity at a particular scale.
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Journal of Geophysical Research : Solid Earth, American Geophysical Union, 2016, 121 (8), pp.5641-5658. 〈10.1002/2015JB012451〉
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François Bonneau, Guillaume Caumon, Philippe Renard. Impact of a stochastic sequential initiation of fractures on the spatial correlations and connectivity of discrete fracture networks. Journal of Geophysical Research : Solid Earth, American Geophysical Union, 2016, 121 (8), pp.5641-5658. 〈10.1002/2015JB012451〉. 〈hal-01492512〉

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