Thovert J-F, Mourzenko V V, Adler P M
Institut Pprime - CNRS, SP2MI, BP 30179, 86962 Futuroscope Chasseneuil Cedex, France.
UPMC METIS. Boîte 105, 4 place Jussieu, 75252 Paris Cedex 05, France.
Phys Rev E. 2017 Apr;95(4-1):042112. doi: 10.1103/PhysRevE.95.042112. Epub 2017 Apr 7.
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.
通过广泛的直接数值模拟研究了裂缝网络的渗流阈值。裂缝在三维空间中随机定位和定向。考虑了非常广泛的规则、不规则和随机裂缝形状，包括单分散或多分散网络，其中包含不同形状和/或尺寸的裂缝。结果根据无量纲密度进行了合理化分析。提出了一个涉及新形状因子的简单模型，该模型非常有效地考虑了裂缝形状的影响。它在单分散或中等多分散网络中具有非常高的精度，并且在其他情况下提供了良好的初步估计。结果表明，多分散指数控制了校正的必要性，并针对所研究的尺寸分布对校正项进行了建模。
