地球科学进展 ›› 1997, Vol. 12 ›› Issue (6): 535 -540. doi: 10.11867/j.issn.1001-8166.1997.06.0535

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地震的多重分形统计特征研究
汪秉宏 1,郑兆苾 2,李东升 2,张军 2   
  1. 1.中国科学技术大学近代物理系 合肥 230026;2.安徽省地震局 合肥 230031
  • 收稿日期:1997-02-24 修回日期:1997-04-01 出版日期:1997-12-01
  • 通讯作者: 汪秉宏,男,1944年10月出生,教授,主要从事理论物理及非线性科学的研究。
  • 基金资助:

    国家自然科学基金项目“时间序列的非线性分析研究及在地球科学中的应用”(项目编号:49474216)及国家地震局地震科学联合基金“八五”攻关项目“地震时间序列的译解及预测算法研究”(编号:85-09-02)资助。

RESEARCH ON EARTHQUAKE MULTI-FRACTAL STATISTICAL CHARACTERISTICS

WANG Binghong 1,ZHENG Zhaobi 2,LI Dongsheng 2,ZHANG Jun 2   

  1. 1.Department of Modern Physics,University of Science and Technology of China,Hefei 230026;
    2.Seismological Bureau of Anhui Province,Hefei 230031
  • Received:1997-02-24 Revised:1997-04-01 Online:1997-12-01 Published:1997-12-01

 讨论了地震分布的多重分形统计特征。研究了地震多重分形性质的计算方法及其应用于地震预报的可能性。采用推广Grassberger-Procaccia(G-P)算法从典型震区的地震数据计算地震多重分形分布的广义维数谱以确立较敏感的强震前兆,讨论了该算法的精度、数据量要求及适用范围。研究结果表明,地震分布的多重分形维数谱对于一些典型震区的强震发生具有中期预报价值。 

 In this paper,the multi fractal statistical characteristics of earthquake distribution are summarized.The calculation method of earthquake multi fractal features are presented and the possibility of its application in earthquake prediction research is studied.The fixed radius algorithum,the fixed mass algorithum,and the generalized Grassberger Procaccia algorithum are used to calculate generalized dimension spectrum of earthquake spatial distribution multi fractal from the seismological record data in typical earthquake region in order to catch out the sensitive sighs of strong earthquake occourance.The above three methods are compared to each other for calculation precission,the demand of data amount,and the adaptable area.The extended G P algorithum is first applied and tested in calculation of the spectra D q of some theoretical models ,e.g.Henon map,random distribution.The effects of the quantity of the data sample and the scaling region determination on the calculation results are analyzed.It is concluded that the scaling radius should be less than 1/4 of the diameter of the considered fractal object in order to avoid boundary effect.The D q~t curves observed from the Eastern China,especially the variations of D q (q<0),show clearly feature of dimensioin reducing before the occurrence of strong earthquakes These results demonstrate that the intermediate term symptoms of the approach of a strong earthquake in some regions can be singled out from the multi fractal dimension spectrum of earthquake distribution.

中图分类号: 

1 Kellis-Borok V I.Symptoms of instability in a system of earthquake-prone faults,Physica D,1994,77(1-3):193-199.
2 汪秉宏.混沌动力学引论.国家地震局地震科学联合基金会,地壳应力研究所,1992.
3 汪秉宏.地震时间序列的非线性分析.见:陈禺页等编.非线性科学在地震预报中的应用.北京:地震出版社1992.11-31.
4 Grassberger P,Badii R,Politi A.Scaling laws for invariant measures on hyperbolic and nonhyperbolic attractors.J Stat Phys,1988,51,(1/2):135-178.
5 Li D,Zheng Z,Zhang J,Wang B H.Researches on the multifractals of earthquake spatial distribution.Journal of Seismological Research,1993,16(3):321-328.
6 李东生,郑兆苾,汪秉宏.地震空间分布多分维谱的计算与分析.地震学报,1993,15:565-571.
7 Li D,Zheng Z,Wang B H.Research into the multifractal of earthquake spatial distribution.Tectonophysics,1994,233:91-97.
8 李东升,郑兆艹必,汪秉宏.地震空间分布多分维数的计算及初步应用.地震,1995,(2):143-149.
9 汪秉宏,李东升,郑兆苾.用推广G-P法计算唐山震区震中分布的多重分形模式.见:陈禺页等编.非线性科学在地震预报中的应用.北京:地震出版社,1992.105-111.
10  汪秉宏,李东升,郑兆苾.唐山1976年大地震震中分布多重分形维数谱的变化特征.见:辛厚文主编.分形理论及其应用.第三届全国分形理论及其应用学术讨论会论文集.合肥:中国科技大学出版社,1993.416-417.

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