A characterization of the coupled evolution of grain fabric and pore space using complex networks: Pore connectivity and optimized flows in the presence of shear bands |
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Institution: | 1. Université de Cergy-Pontoise, Géosciences & Environnement Cergy, 5 mail Gay-Lussac, F-95031 Cergy-Pontoise, France;2. CSIRO Earth Science and Resource Engineering, 26 Dick Perry Avenue, Kensington 6151 Western Australia, Australia;3. IFP Energies nouvelles, Direction Ingénierie de Réservoir, 1 et 4 avenue de bois préau, 92852 Rueil-Malmaison Cedex, France;4. Université de Bourgogne, UMR CNRS 6282 Biogéosciences, Bâtiment Sciences Gabriel, 6 Bd Gabriel, 21000 Dijon, France |
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Abstract: | A framework for the multiscale characterization of the coupled evolution of the solid grain fabric and its associated pore space in dense granular media is developed. In this framework, a pseudo-dual graph transformation of the grain contact network produces a graph of pores which can be readily interpreted as a pore space network. Survivability, a new metric succinctly summarizing the connectivity of the solid grain and pore space networks, measures material robustness. The size distribution and the connectivity of pores can be characterized quantitatively through various network properties. Assortativity characterizes the pore space with respect to the parity of the number of particles enclosing the pore. Multiscale clusters of odd parity versus even parity contact cycles alternate spatially along the shear band: these represent, respectively, local jamming and unjamming regions that continually switch positions in time throughout the failure regime. Optimal paths, established using network shortest paths in favor of large pores, provide clues on preferential paths for interstitial matter transport. In systems with higher rolling resistance at contacts, less tortuous shortest paths thread through larger pores in shear bands. Notably the structural patterns uncovered in the pore space suggest that more robust models of interstitial pore flow through deforming granular systems require a proper consideration of the evolution of in situ shear band and fracture patterns – not just globally, but also inside these localized failure zones. |
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Keywords: | Granular materials Dual graphs Pore space network Complex networks Permeability |
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