Through research conducted in this study, a network approach to the correlation patterns of void spaces in rough fractures (crack type II) was developed. We characterized friction networks with several networks characteristics. The correlation among network properties with the fracture permeability is the result of friction networks. The revealed hubs in the complex aperture networks confirmed the importance of highly correlated groups to conduct the highlighted features of the dynamical aperture field. We found that there is a universal power law between the nodes' degree and motifs frequency (for triangles it reads IT(k)/I ∝ Ik/Iβ (β ≈ 2 ± 0.3)). The investigation of localization effects on eigenvectors shows a remarkable difference in parallel and perpendicular aperture patches. Furthermore, we estimate the rate of stored energy in asperities so that we found that the rate of radiated energy is higher in parallel friction networks than it is in transverse directions. The final part of our research highlights 4 point sub-graph distribution and its correlation with fluid flow. For shear rupture, we observed a similar trend in sub-graph distribution, resulting from parallel and transversal aperture profiles (a superfamily phenomenon).
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机译：通过本研究的研究，开发了一种网络方法来处理粗糙裂缝（II型裂缝）中空隙空间的相关模式。我们用几个网络特征来表征摩擦网络。网络性质与裂缝渗透率之间的相关性是摩擦网络的结果。复杂光圈网络中揭示的中心证实了高度相关的群体进行动态光圈场突出特征的重要性。我们发现节点的度数和图案频率之间存在通用幂律（对于三角形，其读数为 T（k）＆propto; k ＆beta;（＆beta;＆approx; 2＆plusmn; 0.3））。对本征向量的定位影响的研究表明，平行和垂直孔径斑块存在显着差异。此外，我们估计了粗糙状态下的储能速率，因此我们发现平行摩擦网络中的辐射能量速率比横向方向的辐射能量速率高。我们研究的最后一部分重点介绍了四点子图分布及其与流体流动的相关性。对于剪切破裂，我们观察到子图分布的趋势类似，这是由于平行和横向孔径分布（超家族现象）引起的。
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