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Renard, Philippe

Nom
Renard, Philippe
Affiliation principale
Site web
Fonction
Directeur de Recherche
Email
Philippe.Renard@unine.ch
Identifiants
https://libra.unine.ch/handle/123456789/150
_
0000-0003-4504-435X

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  • Publication
    Accès libre
    Impact of a stochastic sequential initiation of fractures on the spatial correlations and connectivity of discrete fracture networks
    (2016)
    Bonneau, F
    ;
    Caumon, G
    ;
    Renard, Philippe 
    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.
  • Publication
    Accès libre
    Fractal Dimension, Walk Dimension and Conductivity Exponent of Karst Networks around Tulum
    (2016)
    Hendrick, M
    ;
    Renard, Philippe 
    Understanding the complex structure of karst networks is a challenge. In this work, we characterize the fractal properties of some of the largest coastal karst network systems in the world. They are located near the town of Tulum (Quintana Roo, Mexico). Their fractal dimension df, conductivity exponent μ∼ and walk dimension dw are estimated using real space renormalization and numerical simulations. We obtain the following values for these exponents: df ≈ 1.5, dw ≈ 2.4, μ∼ ≈ 0.9. We observe that the Einstein relation holds for these structures μ∼ ≈ −df + dw. These results indicate that coastal karst networks can be considered as critical systems and this provides some foundations to model them within this framework.