地震活动性的多重分维特征

CHARACTERISTICS OF MULTIFRACTAL DIMENSIONS OF SEISMIC ACTIVITY

摘要:

本文根据多重分维的定义,研究了华北和西北地区地震的空间和时间分布的多重分维特征。结果表明,地震时空分布的多重分维特征能较好地描述地震时空分布的有序性。一般在地震活动性较强的阶段,多重分维D_q,尤其是高阶的D_q有明显的异常变化,其D_q-q曲线较陡;而D_q-q曲线变化较平缓的阶段,统计区内一般无大震发生。

Abstract:

The multifractal dimensions of spatial and temporal distribution of earthquakes in North China area and Northwest China area are calculated in this paper according to the definition of multifractal dimensions. The results show that the multifractal dimensions of seismic space and time distribution can describe the orderliness of spatial and temoporal distributin of earthquakes satisfactorily. Generally, obviously anomalous changes of multifractal dimension D_q, especially of high order, are found, and the curve D_q-q is very steep during the process when the seismic activity is strong. But very few stronger earthquakes took place in the statistical region when the curve of D_q-q is flat.