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Microcrack connectivity in rocks: a real-space renormalization group approach for 3D anisotropic bond percolation

发表日期:2016-09-28YaPu Zhao来源:放大 缩小

The onset of microcrack conductivity in anisotropic rocks, which is a concern in hydraulic fracturing, was treated as a three-dimensional (3D) bond percolation problem where the bonds in the three orthogonal directions are presented with different probabilities. A real-space renormalization group (RNG) approach was expanded to calculate the critical behavior in this percolation problem, which was demonstrated to have improved accuracy for estimating critical points. A 3D phase diagram for the anisotropic percolation problem was obtained to present the relation between rock permeability and crack density, which is suitable for the needs of engineering for its accuracy and visualization.

http://dx.doi.org/10.1088/1742-5468/2016/01/013205T

his work was jointly supported by the National Natural Science Foundation of China (Grant Nos. U1562105 and 11372313) and CAS Interdisciplinary Innovation Team Project.

Zhao, YP; Chen, JC; Yuan, QZ; Cheng, CM. Microcrack connectivity in rocks: a real-space renormalization group approach for 3D anisotropic bond percolation.JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, 2016, : 13205.