广义地震应变能释放的多重分形特征
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摘要
利用基于小波变换的多重分形谱估计方法,研究了以中国东西部地区为代表的板内地震活动和以新西兰、日本为代表的板缘地震活动广义应变能释放的多重分形特征。结果表明,中国东、西部地震活动广义应变能释放的多重分形特征有明显差别,新西兰与日本的地震活动广义应变能释放的多重分形特征也有明显不同;地震活动的多重分形特征与构造的复杂程度有关。
Using rnultifractal spectrum estimating method based on the wavelet, the multi fractal characteristics of GSR of earthquakes in China, Japan and New Zealand regions have been studied. It is shown that the rnultifractal spectra of GSR are obviously different in inter-and intra-plate regions. Moreover, though Japan and New Zealand are all located at the boundary of plates, West and East China are all characterized of continental tectonic structure, the rnultifractal spectra of GSR for both the two regions are also different. Further analysis shows that the natures of rnultifractal spectra of GSR are somehow related to the complexity of tectonics.
Using rnultifractal spectrum estimating method based on the wavelet, the multi fractal characteristics of GSR of earthquakes in China, Japan and New Zealand regions have been studied. It is shown that the rnultifractal spectra of GSR are obviously different in inter-and intra-plate regions. Moreover, though Japan and New Zealand are all located at the boundary of plates, West and East China are all characterized of continental tectonic structure, the rnultifractal spectra of GSR for both the two regions are also different. Further analysis shows that the natures of rnultifractal spectra of GSR are somehow related to the complexity of tectonics.
引文
安镇文,杨翠华,王琳瑛,等.2000． 地震时空丛集的多重分形研究[J].地球物理学报,43(1) :74～80
朱令人,周仕勇.1992． 地震多重分形标度指数谱f(α)的研究[J].西北地震学报,14(2) :30～35
Bacy E, Muzy J, Arneodo A. 1993． Singularity spectrum of fractal singals from wavelet analysis: Exact results[J]. J Stat Phys, 70: 635～674
Ben-Zion Y, Lyakhovsky V. 2002． Accelerated seismic release and related aspects of seismicity patterns on earthquakes faults[J]. Pure Appl Geophys, 159: 2385～2412
Godano C, Alonzo M L, Vilardo G. 1997． Multifractal approach to time clustering of earthquakes[J]. Pure Appl Geophys, 149: 375～390
Harte D. 2001． Multifractals-Theory and Application [M]. New York: Chapman & Hall/CRC, 127～194
Harte D. 2000． Document for the Statistical Seismological Library [M]. Wellington: Victoria University of Wellington,77～151
Heinzn-Ottto P, Hutmart J, Dietmar S. 1997． Chaos and Fractal-New Frontiers of Science[M]. New York: Springer Velay, Hamilton Printing Co. Rennselaer, 921～954
Hirata H T. 1991． Multifractal analysis of spatial distribution of microearthquakes in the Kanto region[J]. Geophys J Int,107: 155～162
Hooge C, Schertzer D, Malouin J F, et al. 1994． Multifractal phase transition: the origion of self-organized criticality in earthquakes[J]. Nonlin Proc Geophys, 1: 191～197
Muzy J,Bacy E,Arneodo A.1994． The multifractal formulism revisited with wavelets[J].International Journal of Bi furcation and Chaos,4:245～302
Schmitt F. Schertzer D, Lovejoy S, et al. 1994． Empirical study of multifractal phase transition in atmospheric turbu lence[J]. Nonlin Proc Geophys, 1: 95～104
Schertzer D, Lovejoy S. 1994． Multifractal generation of self-organized criticality[A]. In: Miroslav M N ed. Fractals in the Natural and Applied Sciences: Proceedings of the Second IFIP Working Conference on Fractals in the Natural and Applied Sciences [C]. London: Elsevier Science, 325～339
Schertzer D, Lovejoy S. Lavallee D. 1993． Generic multifractal phase transitions and self-organized criticality[A]. In:Lejecune A. Perdang J eds. Cellular auotumata: Prospects in Astrophysical Applications [C]. Singapore: World Scientific. 216～217
Wang J H. Lee C. W. 1997． Multifractal measures of time series of earthquakes[J]. J Phys Earth, 45:331～345
朱令人,周仕勇.1992． 地震多重分形标度指数谱f(α)的研究[J].西北地震学报,14(2) :30～35
Bacy E, Muzy J, Arneodo A. 1993． Singularity spectrum of fractal singals from wavelet analysis: Exact results[J]. J Stat Phys, 70: 635～674
Ben-Zion Y, Lyakhovsky V. 2002． Accelerated seismic release and related aspects of seismicity patterns on earthquakes faults[J]. Pure Appl Geophys, 159: 2385～2412
Godano C, Alonzo M L, Vilardo G. 1997． Multifractal approach to time clustering of earthquakes[J]. Pure Appl Geophys, 149: 375～390
Harte D. 2001． Multifractals-Theory and Application [M]. New York: Chapman & Hall/CRC, 127～194
Harte D. 2000． Document for the Statistical Seismological Library [M]. Wellington: Victoria University of Wellington,77～151
Heinzn-Ottto P, Hutmart J, Dietmar S. 1997． Chaos and Fractal-New Frontiers of Science[M]. New York: Springer Velay, Hamilton Printing Co. Rennselaer, 921～954
Hirata H T. 1991． Multifractal analysis of spatial distribution of microearthquakes in the Kanto region[J]. Geophys J Int,107: 155～162
Hooge C, Schertzer D, Malouin J F, et al. 1994． Multifractal phase transition: the origion of self-organized criticality in earthquakes[J]. Nonlin Proc Geophys, 1: 191～197
Muzy J,Bacy E,Arneodo A.1994． The multifractal formulism revisited with wavelets[J].International Journal of Bi furcation and Chaos,4:245～302
Schmitt F. Schertzer D, Lovejoy S, et al. 1994． Empirical study of multifractal phase transition in atmospheric turbu lence[J]. Nonlin Proc Geophys, 1: 95～104
Schertzer D, Lovejoy S. 1994． Multifractal generation of self-organized criticality[A]. In: Miroslav M N ed. Fractals in the Natural and Applied Sciences: Proceedings of the Second IFIP Working Conference on Fractals in the Natural and Applied Sciences [C]. London: Elsevier Science, 325～339
Schertzer D, Lovejoy S. Lavallee D. 1993． Generic multifractal phase transitions and self-organized criticality[A]. In:Lejecune A. Perdang J eds. Cellular auotumata: Prospects in Astrophysical Applications [C]. Singapore: World Scientific. 216～217
Wang J H. Lee C. W. 1997． Multifractal measures of time series of earthquakes[J]. J Phys Earth, 45:331～345
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