地震前兆序列分维的初步研究

PRELIMINARY STUDY ON PRECURSORY SEQUENCE ANALYSIS BY FRACTAL DIMENSION

摘要:

本文将分数维用于地震前兆序列的分析中,讨论了确定前兆序列分维数的方法,进而确定前兆序列最少的序参量的个数,并对黑孜水准前兆序列和库尔勒倾斜前兆序列进行了实际计算。结果表明,黑孜水准序列的分维数d=1.7,库尔勒倾斜序列的分维数d=2.1,同时得到了描述这两个序列的序参量均为3。本文还尝试用信息熵的方法提取有用的前兆信息,结果表明,在熵值下降的过程中,观测台站周围300km范围内有中强地震发生。

Abstract:

This paper introduces the fractal dimension into the analysis of seismic precursory sequence, discusses how the fraetal dimension of precursory sequence is determined and the minimum order parameter of the precursory sequence is determined further. Finally the authors discussed how useful information is obtained by the method of information entropy. The results show that the fractal dimension of water-level sequence(Heizi)is 1.7 and that of the crustal tilt sequence(Kuerle)is 2.1, meanwhile the three order parameters which describe the two sequences are 3. The results of information entropy show that in the range of 300km around the observation station some moderate-strong earthquakes occurred in the dropping process of entropy value.