楚雄地震带上的地震时间分布容量维和信息维变化特征
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摘要
对云南楚雄地震带1992~2002年期间地震活动的时间分形特征进行了研究.计算了地震时间分布的容量维和信息维,得到了容量维和信息维随时间变化的曲线.结果显示,楚雄地震带上的地震活动时间分布具有分形结构,地震活动的时间分维数无论是容量维还是信息维均反映出较大地震发生前存在着降维现象.
Temporal fractal characteristic of seismic activity during 1992—2002 in Yunnan Chuxiong seismic zone is studied.The capacity dimension and information dimension of seismic temporal distribution are calculated,and temporal variation curves of capacity dimension and information dimension are obtained.The results show that there is a temporal fractal structure in seismic activity in Chuxiong seismic zone.Capacity dimension and information dimension of temporal fractals of seismic activity all show a dimension-descending phenomenon before strong earthquake occurring.
Temporal fractal characteristic of seismic activity during 1992—2002 in Yunnan Chuxiong seismic zone is studied.The capacity dimension and information dimension of seismic temporal distribution are calculated,and temporal variation curves of capacity dimension and information dimension are obtained.The results show that there is a temporal fractal structure in seismic activity in Chuxiong seismic zone.Capacity dimension and information dimension of temporal fractals of seismic activity all show a dimension-descending phenomenon before strong earthquake occurring.
引文
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[2]辛厚文.分形理论及其应用[M].合肥:中国科技大学出版社,1993.
[3]Nakaya Shinji,Hashimoto Takeshi.Temporal variationof multifractal properties of seismicity in the region af-fected by the mainshock of the October 6,2000 WesternTottori Prefecture,Japan,earthquake(M=7.3)[J].Geophysical Research Letters,2002,29(10),133-134.
[4]KIYASHCHENKO D,SMIRNOVA N,TROYAN V,etal.Dynamics of multifractal and correlation characteris-tics of the spatio-temporal distribution of regional seis-micity before the strong earthquakes[J].Natural Haz-ards and Earth System Sciences,2002,3(4):285-298.
[5]LEGRAND D.Fractal dimensions of small,intermedi-ate,and large earthquakes[J].Bull Seism Soc Am,2002,92:3 318-3 320.
[6]MANDAL P,MABAWONKU A O,DIMRI V P.Self-organized fractal seismicity of reservoir triggered earth-quakes in the Koyna-Warna seismic zone,western India,Pure appl[J].Geophys,2005,162:73-90.
[7]阎春恒,吴小平.云南西北部强震前地震活动空间关联维的降维过程[J].云南大学学报:自然科学版,2007,29(3):266-271.
[8]龚凯虹,吴云,周硕愚,等.大震前小震活动的时空分形特征[J].地壳形变与地震,1997,17(2):82-86.
[9]秦嘉政,钱晓东.丽江地震余震序列分维的时间活动图象[J].中国地震,1997,13(3):297-300.
[10]蔡静观,唐进,许昭永.地震空间分数维及其在地震预报中的应用[J].地震学报,1992,14(3):289-295.
[11]朱令人,周仕勇,王海涛,等.地震活动信息维研究[J].地震学报,1992,14(4):385-390.
[12]刘祖荫,苏有锦,秦嘉政,等.20世纪云南地震活动[M].北京:地震出版社,2005.
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