As a widely used measurement technique in rock mechanics, spatial correlation modeling of acoustic emission (AE) scattering signals is attracting increasing focus for describing mechanical behavior quantitatively. Unlike the statistical description of the spatial distribution of randomly generated AE signals, spatial correlation modeling is based mainly on short-range correlation considering the interrelationship of adjacent signals. As a new idea from percolation models, the covering strategy is used to build the most representative cube cluster, which corresponds to the critical scale at peak stress. Its modeling process of critical cube cluster depends strongly on the full connection of the main fracture network, and the corresponding cube for coverage is termed the critical cube. The criticality pertains to not only the transition of local-to-whole connection of the fracture network but also the increasing-to-decreasing transition of the deviatoric stress with an obvious stress drop in the brittle failure of granite. Determining a reasonable critical cube guarantees the best observation scale for investigating the failure process. Besides, the topological connection induces the geometric criticality of three descriptors, namely anisotropy, pore fraction, and specific surface area, which are evaluated separately and effectively. The results show that cluster modeling based on the critical cube is effective and has criticality in both topology and geometry, as well as the triaxial behavior. Furthermore, the critical cube length presents a high confidence probability of being correlated to the mineral particle size. Besides, its pore fraction of cube cluster is influenced strongly by the critical cube length and confining pressure.

作为岩石力学中广泛使用的测量技术，声发射（AE）散射信号的空间相关性建模越来越吸引人们关注，以定量描述力学行为。与对随机生成的AE信号的空间分布进行统计描述不同，空间相关性建模主要基于考虑了相邻信号之间的相互关系的短程相关性。作为渗流模型的新思路，覆盖策略用于构建最具代表性的多维数据集簇，它对应于峰值应力下的临界尺度。它的关键立方体簇的建模过程在很大程度上取决于主裂缝网络的完整连接，并且相应的覆盖立方体被称为关键立方体。临界不仅与裂缝网络的局部到整体连接的过渡有关，而且还与偏斜应力的增加到减少的过渡有关，花岗岩的脆性破坏中应力下降明显。确定合理的临界立方体可确保调查故障过程的最佳观察尺度。此外，拓扑连接还引发了各向异性，孔隙率和比表面积这三个描述子的几何临界度，它们分别被有效地评估。结果表明，基于临界立方体的聚类建模是有效的，并且在拓扑和几何形状以及三轴行为方面均具有临界性。此外，临界立方长度呈现出与矿物粒度相关的高置信度。除了，