分维──评价矿井断裂复杂程度的综合性指标

Fractal Dimension---A Comprehensive Index for Evaluating the Complexity Degree of Mine Fault Network

矿井断裂网络是一种具有统计自相似性的分形体系．其复杂程度可以用描述几何不规则性的分维来定量评价。本文将分维指标与常用的断裂密度指标进行了对比分析，结果表明，前者不仅包含了断裂条数、组数和水平延伸长度的变化信息，而且包含了断裂分布的不均匀性和组合变化等信息．因此，分维是一种合理、准确评价断裂网络复杂程度的综合性指标．

Mine fault network is a fractal system with statistic self-similarity. Its complexity degree can be quantitatively evaluated using fractal dimension that can describe geometrical irregularity. The index of fractal dimension is analyzed and compared with the common index of fault density in this paper. The result shows that the index of fractal dimension contains not only changeable information on the horizontal extension length, number and sets of fault, but also information on the inhomogeneity of fault spacing and change of combination, etc. Thus the fractal dimension is a comprehensive index for reasonably and accurately evaluating fault network complexity degree.