强震前后广义地震应变释放过程的丛集特征
|
摘要
利用基于小波变换的多重分形奇异谱估计方法,研究了部分强震前后地震活动广义应变释放过程的多重分形特征。结果表明,震中区附近一定范围内地震活动广义应变释放过程具有多重分形特征,但多重分形维数谱随η变化复杂,在强震发生前多重分形维数谱没有明显的变化。广义地震应变释放过程的多重分形奇异谱形态和Hausdorff奇异指数范围能提供更多关于地震活动过程的信息,特别当η取较大值时Hausdorff奇异指数范围在强震前明显变窄。研究还表明深源地震和浅源地震发生前广义应变释放过程多重分形特征存在明显不同。
By using the wavelet transition-based multifractal spectrum estimation method, the multifractal characteristics of generalized seismic strain release process before and after strong earthquake occurrence have been discussed. The results show that the multifractal dimension spectrum varies seriously with the changes of the parameter.It is also found that the multi-fractal dimension spectrum doesn't change obviously before and after strong earthquake occurrence. The multifractal singular spectrum and the range of Hausdorff singular index could provide more information on seismically active process, especially when the parameter is higher (e. g. larger than 1). The range of Hausdorff singular index is obviously going narrower before strong earthquake occurrence. Also, the multifractal characteristics of generalized seismic stress release process are apparently different for deep and shallow strong events.
By using the wavelet transition-based multifractal spectrum estimation method, the multifractal characteristics of generalized seismic strain release process before and after strong earthquake occurrence have been discussed. The results show that the multifractal dimension spectrum varies seriously with the changes of the parameter.It is also found that the multi-fractal dimension spectrum doesn't change obviously before and after strong earthquake occurrence. The multifractal singular spectrum and the range of Hausdorff singular index could provide more information on seismically active process, especially when the parameter is higher (e. g. larger than 1). The range of Hausdorff singular index is obviously going narrower before strong earthquake occurrence. Also, the multifractal characteristics of generalized seismic stress release process are apparently different for deep and shallow strong events.
引文
[1] 安镇文,杨翠华,王琳英,等.地震时空丛集的多重分形研究[J].地球物理学报,2000,43(1) :74-80．
[2] 朱令人,周仕勇.地震多重分形标度指数谱f(α)的研究[J].西北地震学报,1992,14(2) :30-35．
[3] Godano C, Alonzo M L, Vilardo G. Multifractal approach to time clustering of earthquakes[J]. Pure Appl Geophys, 1997, 149: 375-390．
[4] Harte D. Multifractals-theory and application[M]. New York: Chapman & Hall/CRC, 2001． 127-194．
[5] Hooge C, Schertzer D, Malouin J F, et al. Multifractal phase transition: the origion of self-organized criticality in earthquakes[J]. Nonlin Proc Geophys, 1994, 1: 191-197．
[6] Heinz-Ottto P, Hutmart J, Dietmar S. Chaos and fractal-New frontiers of science[M]. New York: Springer Velay, Hamilton Printing Co. Rennselaer, 1997． 921-954．
[7] Muzy J, Bacy E, Arneodo A. The multifractal formulism revisited with wavelets[J]. International Journal of Bifurcation and Chaos, 1994, 4: 245-302．
[8] Bacy E, Muzy J, Arneodo A. Singularity spectrum of fractal signals from wavelet analysis: Exact results[J]. J Stat Phys, 1993, 70: 635-674．
[9] Ben-Zion Y, Lyakhovsky V. Accelerated seismic release and related aspects of seismicity patterns on earthquakes faults[M]. Submitted to Pure Appl Geophys, (in press) 2002． 1-26．
[10] Harte D. Document for the statistical seismological library[M]. Wellington: Victoria University of Wellington, 2000． 77-151．
[11] Schmitt F, Schertzer D, Lovejoy S, et al. Empirical study of multifractal phase transition in atmospheric turbulence[J]. Nonlin Proc Geophys, 1994, 1: 95-104．
[12] Hirata H T. Multifractal analysis of spatial distribution of microearthquakes in the Kanto region[J].Geophys J Int, 1991, 107: 155-162．
[13] WANG Jeen Hwa, LEE Chung Wein. Multifractal measures of time series of earthquakes[J]. J Phys Earth, 1997, 45: 331-345．
[2] 朱令人,周仕勇.地震多重分形标度指数谱f(α)的研究[J].西北地震学报,1992,14(2) :30-35．
[3] Godano C, Alonzo M L, Vilardo G. Multifractal approach to time clustering of earthquakes[J]. Pure Appl Geophys, 1997, 149: 375-390．
[4] Harte D. Multifractals-theory and application[M]. New York: Chapman & Hall/CRC, 2001． 127-194．
[5] Hooge C, Schertzer D, Malouin J F, et al. Multifractal phase transition: the origion of self-organized criticality in earthquakes[J]. Nonlin Proc Geophys, 1994, 1: 191-197．
[6] Heinz-Ottto P, Hutmart J, Dietmar S. Chaos and fractal-New frontiers of science[M]. New York: Springer Velay, Hamilton Printing Co. Rennselaer, 1997． 921-954．
[7] Muzy J, Bacy E, Arneodo A. The multifractal formulism revisited with wavelets[J]. International Journal of Bifurcation and Chaos, 1994, 4: 245-302．
[8] Bacy E, Muzy J, Arneodo A. Singularity spectrum of fractal signals from wavelet analysis: Exact results[J]. J Stat Phys, 1993, 70: 635-674．
[9] Ben-Zion Y, Lyakhovsky V. Accelerated seismic release and related aspects of seismicity patterns on earthquakes faults[M]. Submitted to Pure Appl Geophys, (in press) 2002． 1-26．
[10] Harte D. Document for the statistical seismological library[M]. Wellington: Victoria University of Wellington, 2000． 77-151．
[11] Schmitt F, Schertzer D, Lovejoy S, et al. Empirical study of multifractal phase transition in atmospheric turbulence[J]. Nonlin Proc Geophys, 1994, 1: 95-104．
[12] Hirata H T. Multifractal analysis of spatial distribution of microearthquakes in the Kanto region[J].Geophys J Int, 1991, 107: 155-162．
[13] WANG Jeen Hwa, LEE Chung Wein. Multifractal measures of time series of earthquakes[J]. J Phys Earth, 1997, 45: 331-345．
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心