地震时空丛集的多重分形研究
|
摘要
为探索大地震发生的可预测性，应用分形理论并根据标准数盒子的数值计算方法，研究了华北地区历史地震和唐山地区地震活动的空间分布特征，估算了地震活动能量的分维值并研究了其多重分形谱的几何结构．初步结果显示出大地震发生前，广义维值有明显的下降过程，分形谱ｆ（α）结构有右偏现象．在低于上述时空层次的唐山地区，孕震系统也有类似特征出现．这些异常现象揭示出孕震动力系统的物理机理和激变前的某些不稳定性．
In order to explore the predictability of earthquakes, the distributioncharacteristics of seismic activity in time and space for Huabei and Tangshan area arestudied by multifractal theory and box-counting method. The generalized dimensionsD(q) of seismic achvity energy are estimated, and the geometry structure of theirmultifractal spectrum is also analyzed. The results show that the values of thegeneralized dimensions are obviously low, and there is a low value process before thelarge earthquake occurrence and the f(α) spectrum is partial to right. A similarcharacteristic is found in Tangshan area. The anomalous phenamena revealed thephysical essence and some instability before interior crisis of seismogenic system.
In order to explore the predictability of earthquakes, the distributioncharacteristics of seismic activity in time and space for Huabei and Tangshan area arestudied by multifractal theory and box-counting method. The generalized dimensionsD(q) of seismic achvity energy are estimated, and the geometry structure of theirmultifractal spectrum is also analyzed. The results show that the values of thegeneralized dimensions are obviously low, and there is a low value process before thelarge earthquake occurrence and the f(α) spectrum is partial to right. A similarcharacteristic is found in Tangshan area. The anomalous phenamena revealed thephysical essence and some instability before interior crisis of seismogenic system.
引文
[1] Godano C, Alonzo M L, Vilardo G. Mulifractal approach to time clustering of earthquakes. Pure. Appl.Geophys. 1997, 149:375-390.
[2] Barreira L, Pesin Y, Scheming J. On a general concept of multifractality: multifractal spectra fordimensions, entropies, and lyapunov exponents. Multijtactal rigidity, 1997, 7(1):27-38.
[3] Katzen D, Procaccia 1. Phase transitions in the thermodynamic formation of Multifractals. Phys. Rev. Lett.1987, 58: 1169-1172.
[4] Schmittbul J, Schmitt F, Scholz C H. Scaling invariance of crack surface. J Geophys. Res., 1995, 100:5953-5973.
[5]安镇文,叶正仁, 滕春凯等,孕震系统中的1/f噪声行为.地球物理学报, 1997, 40(3):380-386。AN Zhen-Wen, YE Zheng-Ren, TENG Chun-Kai et al. The 1 / f noise behavior in a seismogenic system.Chinese J. Geophys. (in Chinese), 1997, 40(3):380-386.
[6]朱令人,周仕勇.地震多重分形标度指数谱f(α)的研究.西北地震学报, 1992. 14(2):30-35ZHU Ling-Ren, ZHOU Shi-Yong. Study on the crowding index spectrum f(α) of seismic multifractal.Northwestern Seismological Journal (in Chinese), 1992, 14(2): 30-35.
[7] Flohr P, Olivari D. Fractal and multifractal chalacteristics of a scalar dispersed in a turbulent jet. Physica1994, D76: 278-290.
[8] Halsey T C, Jensen M H, Kadanoff L P, et al. Fractal measures and their sigularities: The characterizationof strange sets. Phes. Rev, 1986, A33(2): 1141-1151.
[9] Chhabra A B, Menevean C, Jensen R V, et al. Direct detennination of the f(α) singularity spectrum andits application to fully developed turbulance. Phys. Rev. 1989, A40:5284-5294.
[10]黄纬琼,李文香,曹学锋.中国大陆北部地震资料完整性研究之一.地震学报,1994,16(3):273-280HUANG Wei-Qiong, LI Wen-Xiang, CAO Xue-Feng. Research on the completeness of earthquake dataabout the Chinese mainland (1) North China. Acta Seismologia Sinica (in Chinese) 1994, 16(3): 273-280.
[2] Barreira L, Pesin Y, Scheming J. On a general concept of multifractality: multifractal spectra fordimensions, entropies, and lyapunov exponents. Multijtactal rigidity, 1997, 7(1):27-38.
[3] Katzen D, Procaccia 1. Phase transitions in the thermodynamic formation of Multifractals. Phys. Rev. Lett.1987, 58: 1169-1172.
[4] Schmittbul J, Schmitt F, Scholz C H. Scaling invariance of crack surface. J Geophys. Res., 1995, 100:5953-5973.
[5]安镇文,叶正仁, 滕春凯等,孕震系统中的1/f噪声行为.地球物理学报, 1997, 40(3):380-386。AN Zhen-Wen, YE Zheng-Ren, TENG Chun-Kai et al. The 1 / f noise behavior in a seismogenic system.Chinese J. Geophys. (in Chinese), 1997, 40(3):380-386.
[6]朱令人,周仕勇.地震多重分形标度指数谱f(α)的研究.西北地震学报, 1992. 14(2):30-35ZHU Ling-Ren, ZHOU Shi-Yong. Study on the crowding index spectrum f(α) of seismic multifractal.Northwestern Seismological Journal (in Chinese), 1992, 14(2): 30-35.
[7] Flohr P, Olivari D. Fractal and multifractal chalacteristics of a scalar dispersed in a turbulent jet. Physica1994, D76: 278-290.
[8] Halsey T C, Jensen M H, Kadanoff L P, et al. Fractal measures and their sigularities: The characterizationof strange sets. Phes. Rev, 1986, A33(2): 1141-1151.
[9] Chhabra A B, Menevean C, Jensen R V, et al. Direct detennination of the f(α) singularity spectrum andits application to fully developed turbulance. Phys. Rev. 1989, A40:5284-5294.
[10]黄纬琼,李文香,曹学锋.中国大陆北部地震资料完整性研究之一.地震学报,1994,16(3):273-280HUANG Wei-Qiong, LI Wen-Xiang, CAO Xue-Feng. Research on the completeness of earthquake dataabout the Chinese mainland (1) North China. Acta Seismologia Sinica (in Chinese) 1994, 16(3): 273-280.
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