广东省主要活动断裂的分形特征及其与区域历史地震活动的关系

以分形理论为基础,采用网格覆盖法,对广东省主要活动断裂进行分形研究。研究结果表明,广东省内主要活动断裂在分形标度区间12.5~100 km具有较好的统计自相似性,断裂分布的分形维数有效地描述了断裂的空间展布特征,全部断裂分形维数为1.582 3,北东向断裂为1.434 2,北西向断裂为1.115 7和近东西向断裂1.039 4,并且北东向断裂与北西向断裂的分布呈现一定的互补性。结合断裂分形维数等值线与历史地震活动,初步探讨了断裂分形维数与地震活动的耦合关系。

Fractal Analysis of the Main Active Faults and Its Relationship with Regional Historical Seismic Activities in Guangdong Province

Based on the fractal theory, the fractal geometry is applied to studying the active faults system in Guangdong Province. Results indicate that the spatial distribution of all faults in Guangdong Province is a distinct fractal set with self similarity in the non scale range of 12.5-100 km, and the fractal dimension, obtained by the box counting method, interprets well the characteristics of the spatial distribution of faults. The fractal dimension of all faults in the study area is 1.582 3, that of the NE faults 1.434 2 and that of the NW faults 1.115 7 and EW faults 1.039 4. The densities of spatial distribution of the NE and the NW faults supplement to each other, indicating the inter-restraint properties of these two groups of faults. Eventually, correlating the isoline maps of fractal dimensions and historical earthquake distribution, it is tried to find out the relationship between the fractal characteristics and seismic activities.