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地震 ›› 1998, Vol. 18 ›› Issue (4): 417-422.

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1976年黑山、砣矶二次震群多分形特征研究①

赵兴兰, 刁守中, 郭爱香, 王红卫   

  1. 中国济南 250014 山东省地震局
  • 收稿日期:1997-10-05 修回日期:1998-02-03 发布日期:2022-09-23
  • 作者简介:赵兴兰,女,1946年8月出生,髙级工程师,主要从事地震学、地震预报及中长期地震预测等研究工作。

THE MULTIFRACTAL CHARACTERISTICS OF HEISHAN AND TUOJI EARTHQUAKE SWARMS IN 1976

Zhao Xinglan, Diao Shouzhong, Guo Aixiang, Wang Hcmgxvei   

  1. Seismological Bureau of Shandong Province,Jinan 250014,China
  • Received:1997-10-05 Revised:1998-02-03 Published:2022-09-23

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摘要： 依据“固定半径法”的定义及原理,对1976年黑山、砣肌震群的时间结构的广义维数Dq-q和标度指数谱f(a)-a曲线的特征进行了初步研究。结果表明二次前兆震群表现出各自的特征,即砣矶震群地震时间多分形结果出现剧变型异常,其表征为q为负值时Dq增大,q为正值时Dq减小且变化幅度大。与此同时,f(a)两端下降,a跨度也较大。而黑山震群地震时间多分形结构没有出现明显异常,Dq-q曲线平缓,f(a)-a谱曲线跨度较小。对两者差异的原因进行了讨论。

关键词: 震群, 多分形, 广义维数Dq, 标度指数谱f(a)

Abstract: Based on the principle of the “fixed radius method”,the temporal characteristics of Dq-q and f(a)-a spectra of the Heishan and Tuoji earthquake swarms have been preliminarily studied. The results show that two precursory swarms have different abnormal features. For Tuoji earthquake swarm, the value of Dq increases when q<0 and Dq value decreases when q>0. Meanwhile, the changing range of Dq value is wide and two ends of f(a) curve drop down, and the numerical distribution range of index a becomes wider and wider. The obvious abnormal precursors can not be found from temporal multifractal structure for Heishan earthquake swarm. The change of Dq-q curve is not obvious and distribution range of f(a)-a spectra is small. The reason of the difference between two earthquake swarms is also discussed in this paper.

Key words: Earthquake swarm, Multifractural, Dimension Dq, Scaling index spectra f(a)