用相空间重建法研究武定地震序列  

Using Reconstruction Method of Phase Space to Study the Wuding Earthquake Sequence

作　　者：虎雄林[1] 吴小平[1] 王彬[2] 胡家富[1] 

机构地区：[1]云南大学地球物理系,昆明650091 [2]云南省地震局,昆明650041

出　　处：《地震研究》2004年第3期225-229,共5页Journal of Seismological Research

基　　金：云南大学科研基础资金 ( 2 0 0 2T0 0 5 2H);云南省地震青年基金资助 ( 2 0 0 3 0 2 )

摘　　要：选取了两种方案得到武定地震序列 ,并利用相空间重建法重构武定地震序列 ,探讨其吸引子的存在性。结果表明第二种方案得到的武定地震序列不存在吸引子 ,而第一种方案得到的武定地震序列确实存在吸引子 ,它具有自相似分形几何结构 ,其分维数d =2 85 6 ,所以为奇异吸引子。根据奇异吸引子的性质 ,探讨了武定地震发生的整个过程。并且论证了用此法研究武定余震分维数时 ,所必须取的维数n的范围。The Wuding earthquake sequence obtained by two scenarios is selected, and the sequence is reconstructed by phase space method. We are trying to explore the existence of its attractive factor. The results show that there does not exist the attractive factor for the Wuding earthquake sequence obtained by the second scenario. And there does exist the attractive factor for Wuding earthquake sequence obtained by the first scenario, which has auto-similarity fractal geometry characteristics. Its fractal number d=2.856, therefore it is singular attractive factor. We have explored the whole process of Wuding earthquake occurrence according to the property of the singular attractive factor. Further, the range of fractal number n used in the study of Wuding aftershock sequence is discussed.

关 键 词：地震序列 吸引子 分数维 混沌 相空间重建 武定地震 

分 类 号：P315.7[天文地球—地震学]