地电阻率的分数维结构

THE FRACTAL DIMENSION OF EARTH RESISTIVITY

摘要:

利用重建动力学相空间的方法,对唐山地震前后其周围几个台站及山丹地电台1990年的地电阻率观测资料进行了关联分维、李雅普诺夫指数及复杂度的计算,结果表明,地电阻率时间序列具有分维结构,在正常情况下,其吸引子维数在2.5左右。由复杂度的计算结果得知,地电阻率变化远比其它已知的标准奇怪吸引子复杂。

Abstract:

Based on the method of reconstructing dynamic phase space, this paper calculates the fractal dimension,Lyaponove index and complexity of the resistivity data gained from several stations around Tangshan area before and after the Tangshan earthquake and from Shandan station in 1990. The results show that the time sequence of ground resistivity is of fractal dimension structure,and under normal condition its attractor's dimension is about 2.5. The calculation of its complexity suggests that the change of ground resistivity is far more complicated than other standard attractors.