云南西北部强震前地震活动空间关联维的降维过程
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摘要
采用标度变换法,对云南省西北部地区地震活动空间分布的关联维进行了计算,得到了云南西北部不同时段的地震活动空间分布关联维的等值线图.讨论了强震发生前后震中地区关联维演变过程和空间分布特征随时间变化,结果显示,M≥6.0强震发生前存在不同形式的降维过程.
The correlation dimension of space distribution of seismic activity in northwest of Yunnan is calculated by means of scale transformation.The contour map of spatial correlation dimension distribution at different periods in northwest of Yunnan are obtained.The evolving process of correlation dimension and the characteristics of space distribution variation with time before and after strong earthquakes are discussed.The results showed that there is a phenomenon of fractal dimension dropping before the occurring of M≥6.0 earthquakes.
The correlation dimension of space distribution of seismic activity in northwest of Yunnan is calculated by means of scale transformation.The contour map of spatial correlation dimension distribution at different periods in northwest of Yunnan are obtained.The evolving process of correlation dimension and the characteristics of space distribution variation with time before and after strong earthquakes are discussed.The results showed that there is a phenomenon of fractal dimension dropping before the occurring of M≥6.0 earthquakes.
引文
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[2]TURCOTTE D L.Fractals in geology and geophysics[J].Pure and Applied Geophysics,1989,131:171-196.
[3]陈禺页.分形与分维在地球科学中的应用[M].北京:学术期刊出版社,1988.
[4]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).
[5]BARTON CC,LA POINTE PR,EDITORS.Fractals inthe earth sciences[M].New York:Plenum Press,1995.
[6]HALLGASS R,LORETO V,MAZZELLA O,et al.Earthquake statistics and fractal faults[J].Phys Rev,1997,E56:1 346-1 356.
[7]DIMRI V P.In application of fractals in earth sciences[J].Balkema Rotterdam,2000,139-147.
[8]SORNETTE D,AND V PISARENKO.Fractal platetectonics[J].Geophys Res Lett,2003,30(3):1 105,doi:10.1029/2002GL015043.
[9]SHINJI NAKAYA.Fractal properties of seismicity inregions affected by large,shallow earthquakes in west-ern Japan:Implications for fault formation processesbased on a binary fractal fracture network model[J].JGeophys Res,2005,110,B01310,doi:10.1029/2004JB003097.
[10]WYSS M,SAMMIS C G,NADEAU R M,et al.Frac-tal dimension and b-value on creeping and lockedpatches of the San-Andreas fault near Parkfield,Cali-fornia[J].Bull Seism Soc Am,2004,94:410-421.
[11]SIGIT SUKMONO,ZEN M T,HENDRAJAYA L,etal.Fractal pattern of the Sumatra fault seismicity andits possible application to earthquake prediction[J].Bull Seism Soc Am,1997,87(6):1 685-1 690.
[12]HENDERSON J R,BARTON G J,FOULGER G R.Fractal clustering of induced seismicity in The Geysersgeothermal area California[J].Geophys J Int,1999,139:317-324.
[13]KIYASHCHENKO D,SMIRNOVA N,TROYAN V,et al.Dynamics of multifractal and correlation charac-teristics of the spatio-temporal distribution of regionalseismicity before the strong earthquakes[J].NaturalHazards and Earth System Sciences,2002,3(4):285-298.
[14]MANDAL P,RASTOGI B K.Self-organized fractalseismicity and b value of aftershocks of the 2001 Bhujearthquake in Kutch(India)[J].Pure Appl Geophys,2005,162:53-72.
[15]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,2002.
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