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An Zhenwen, Wang Linying, Zhu Chuanzhencom sh advance. 1989: THE CHARACTERISTICS OF FRACTAL DIMENSION IN THE TEMPORAL-SPATIAL DISTRIBUTION OF EARTHQUAKES BEFORE AND AFTER THE OCCURRENCE OF A LARGE EARTHQUAKE. Acta Seismologica Sinica, 11(3): 251-258.
Citation: An Zhenwen, Wang Linying, Zhu Chuanzhencom sh advance. 1989: THE CHARACTERISTICS OF FRACTAL DIMENSION IN THE TEMPORAL-SPATIAL DISTRIBUTION OF EARTHQUAKES BEFORE AND AFTER THE OCCURRENCE OF A LARGE EARTHQUAKE. Acta Seismologica Sinica, 11(3): 251-258.
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THE CHARACTERISTICS OF FRACTAL DIMENSION IN THE TEMPORAL-SPATIAL DISTRIBUTION OF EARTHQUAKES BEFORE AND AFTER THE OCCURRENCE OF A LARGE EARTHQUAKE

  • Institute of Geophysics, State Seismological Bureau

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  • Published Date: September 01, 2011
    Graphical Abstract
    • Abstract
  • Based on the fractal viewpoint suggested by Mandelbrot,seismic activities (ML3.0) are studied for the Haicheng,Tangshan and Songpan earthquakes respectively before and after the occurrence of the large earthquake. The results show that a property of temporal-spatial distribution of seismic activities in a one or two-dimension space has the quality of statistical self-similarity at different length scales. Especially,it has a noninteger fractal dimension less than one or two. And this property is similar to that of one-dimension Cantor set or one-dimes ion continuum Cantor set. In particular,it is found that the fractal dimension is obviously different before and after the occurrence of the large earthquake. In general,that fractal dimension is lower before the quake than after.In this paper,the fractal dimension is considered to be a good physical quantity for describing the complexity in temporal-spatial distribution of seismic activities. Perhaps,it will be of important help in the prediction of large earthquakes.
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    • References (1)
  • [1] Sander, L. M., 1986. Fractal growth proceses, Nature, 322, 789——793.

    [2] Mandelbrot, B. B., 1977. Fractals, Form, Chance and Dimension, W, H. Freeman, San Francisco, CA.

    [3] Ito, K., 1980. Periodicity and Chaos in great earthquake occurrence. J. Geophys. Res., 85, 1399——1408.

    [4] Ito, K., Oono, Y. Yamazaki, H., Hirakama, K., 1980. Chaos behavior in great earthquakes——Coupled re——laxation oscillator model, billiard model and electronic cirucit model. Journal of the Physical Society ofJapan, 49, 43——52.

    [5] Aviles, C. A., and Scholz, C. H., 1987. Fractal analysis applied to characteristic segments of the San And——teas fault. J. Geophys, Res., 92, 331——344.

    [6] Okubo, P. G. and Aki, K., 1987. Fractal geometry in the San Andreas fault system. J. Geophys. Rer, 92,345——355.

    [7] Lovejoy, S,Schertzer, D.&Ladoy, P., 1986. Fractal characterization of inhomogeneous geophysical measur——ing networks. Nature, 319, 43——44.

    [8] 洪时中、洪时明,1987.分数维及其在地震科学中的应用前景.四川地震,1:39——46,

    [9] 李海华,1985.南北地震带北段强震活动的有序性和层次性.四川地震,2: 1——9,

    [10] Batty, M., 1985. Fractals——geometry between d}rnensions, New Scientist, 105, 32——36.

    [11] 郝柏林,1986.分形和分维,科学杂志,38: 9——17.

    [12] 于渌、郝柏林,1980.相变和临界现象(III).物理,9,545——549.

    [1] Sander, L. M., 1986. Fractal growth proceses, Nature, 322, 789——793.

    [2] Mandelbrot, B. B., 1977. Fractals, Form, Chance and Dimension, W, H. Freeman, San Francisco, CA.

    [3] Ito, K., 1980. Periodicity and Chaos in great earthquake occurrence. J. Geophys. Res., 85, 1399——1408.

    [4] Ito, K., Oono, Y. Yamazaki, H., Hirakama, K., 1980. Chaos behavior in great earthquakes——Coupled re——laxation oscillator model, billiard model and electronic cirucit model. Journal of the Physical Society ofJapan, 49, 43——52.

    [5] Aviles, C. A., and Scholz, C. H., 1987. Fractal analysis applied to characteristic segments of the San And——teas fault. J. Geophys, Res., 92, 331——344.

    [6] Okubo, P. G. and Aki, K., 1987. Fractal geometry in the San Andreas fault system. J. Geophys. Rer, 92,345——355.

    [7] Lovejoy, S,Schertzer, D.&Ladoy, P., 1986. Fractal characterization of inhomogeneous geophysical measur——ing networks. Nature, 319, 43——44.

    [8] 洪时中、洪时明,1987.分数维及其在地震科学中的应用前景.四川地震,1:39——46,

    [9] 李海华,1985.南北地震带北段强震活动的有序性和层次性.四川地震,2: 1——9,

    [10] Batty, M., 1985. Fractals——geometry between d}rnensions, New Scientist, 105, 32——36.

    [11] 郝柏林,1986.分形和分维,科学杂志,38: 9——17.

    [12] 于渌、郝柏林,1980.相变和临界现象(III).物理,9,545——549.
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