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地震 ›› 2000, Vol. 20 ›› Issue (z1): 70-75.

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地震分布非点集分形理论探讨

张晓东   

  1. 中国地震局分析预报中心 ,北京 100036
  • 收稿日期:2000-05-29 修回日期:2000-06-22 出版日期:2000-09-30 发布日期:2022-09-23
  • 作者简介:张晓东 (1962-) ,男 ,北京市人,研究员, 1988年获硕士学位 ,主要从事地震预报研究。

Discussion on non-point-set fractal of earthquakes distribution

Zhang Xiao-dong   

  1. Central for Analysis and Prediction, CSB, Beijing 100036, China
  • Received:2000-05-29 Revised:2000-06-22 Online:2000-09-30 Published:2022-09-23

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摘要： 首先研究了地震空间分布在考虑震源为点源、线源、面源、体源破裂时的地震空间分维计算方法。在此基础上推广了震源只能为点源、线源、面源、体源破裂的情形 ,而将震源的破裂假设为介于点源、线源、面源、体源破裂之间的分形破裂 (这样更接近实际地震破裂情况), 并且研究了地震震源破裂在分形破裂前提下的地震空间分布的分维计算方法, 推导了有关的计算公式, 较详细地研究了地震破裂分维同 f [T(q) ]的关系。找到了 Dq -q中的 q(阶数) 在非点集地震空间分布上的物理含义 ,从理论上导出了非点集高阶分维的计算公式。

关键词: 地震时空分布, 非点集, 分形

Abstract: Generally speaking, we assume a seismic source would be a point source (point set) in study on space distribution of earthquakes. An earthquake source rupture region has a certain scale. It is a li near focus in one-dimension space. It is an area focus and a body focus in two -dimensional and three-dimensional space. In this paper, we researched the acco unt method of seismic space fractal dimension in consideration of the point, li near, a rea and body foci. We developed these concepts and idea that the earthquake source is f ractal rupture. We calculated and studied the fractal dimensional of earthquake space distribution based on that seismic focal considered fractal rupture. We researched relationship between the fractal dimension of earthquake fracture and f [T(q) ]. And the physical meaning regarding q of Dq -q in no n-point-set of earthquake space distribution was also discussed.

Key words: Earthquake, Space and time distribution, No n-point-setfractal

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