Percolation in three-dimensional fracture networks for arbitrary size and shape distributions

Physical Review. E
J-F ThovertP M Adler

Abstract

The percolation threshold of fracture networks is investigated by extensive direct numerical simulations. The fractures are randomly located and oriented in three-dimensional space. A very wide range of regular, irregular, and random fracture shapes is considered, in monodisperse or polydisperse networks containing fractures with different shapes and/or sizes. The results are rationalized in terms of a dimensionless density. A simple model involving a new shape factor is proposed, which accounts very efficiently for the influence of the fracture shape. It applies with very good accuracy in monodisperse or moderately polydisperse networks, and provides a good first estimation in other situations. A polydispersity index is shown to control the need for a correction, and the corrective term is modelled for the investigated size distributions.

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Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·R RosenzweigP M Adler

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Citations

Feb 20, 2020·Physical Review. E·I LončarevićS B Vrhovac
Jan 11, 2020·Physical Review Letters·Jeffrey D HymanPeter K Kang
Feb 20, 2021·Physical Review. E·Junmo Lee, Jaewook Nam

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