Impact of a stochastic sequential initiation of fractures on the spatial correlations and connectivity of discrete fracture networks
| Autor: | Guillaume Caumon, François Bonneau, Philippe Renard |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Correlation dimension
Spatial correlation 010504 meteorology & atmospheric sciences Scale (ratio) Computer science Percolation threshold 010502 geochemistry & geophysics 01 natural sciences Point process Geophysics Space and Planetary Science Geochemistry and Petrology Statistics Poisson point process Earth and Planetary Sciences (miscellaneous) Fracture (geology) Sensitivity (control systems) Statistical physics 0105 earth and related environmental sciences |
| Zdroj: | Journal of Geophysical Research: Solid Earth. 121:5641-5658 |
| ISSN: | 2169-9313 |
| DOI: | 10.1002/2015jb012451 |
| Popis: | 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 3-D 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 have 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Plný text