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1991: A STUDY ON THE CHARACTERISTICS OF THE INFOR- MATION DIMENSION D1 OF THE TEMPORAL AND SPATIAL DISTRIBUTIONS OF EARTHQUAKES IN AN ACTIVE FAULT ZONE. Acta Seismologica Sinica, 13(3): 372-379.
Citation: 1991: A STUDY ON THE CHARACTERISTICS OF THE INFOR- MATION DIMENSION D1 OF THE TEMPORAL AND SPATIAL DISTRIBUTIONS OF EARTHQUAKES IN AN ACTIVE FAULT ZONE. Acta Seismologica Sinica, 13(3): 372-379.
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A STUDY ON THE CHARACTERISTICS OF THE INFOR- MATION DIMENSION D1 OF THE TEMPORAL AND SPATIAL DISTRIBUTIONS OF EARTHQUAKES IN AN ACTIVE FAULT ZONE

  • Seismalogical Bureau of Sichuan Province Chengdu 610041, China

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  • Published Date: September 01, 2011
    Graphical Abstract
    • Abstract
  • The research of the information dimension (D1) in an active fault zone considers the contribution of each seismic event to information and reflects the charact eristics of the temporal and spatial distributions of earthquakes from a new point of view, avoiding the shortcomings of the research about the fractal dimension of capacity (D0).The results of calcu ation show that the information dimension of the temporal distribution in the Xianshuihe active fault zone before the great Luhuo earthquake is D1 =0.1051. It is a consult creterion of large earthquakes in future in the fault zone. The information dimensions lof the temporal distribution of earthquakes about 17 years in the Anninghe active fault zone are respectively D1(tN) =0.1363 (for the north section )and A(ts) =0.06710 (for the south section ). The information dimensions of the spatial distribution are respectively D1(KN) = 1.053 (for the north section )and D1( Ks) = 0.7758 (for the south section ). The north section and the south section belong respectively to two self- similar systems with different information dimensions.The extent of the self- organization of seismic activity in the south section is higher than that in the north section. This is helpful for judging the major dangerous section in the key region of the seismic monitoring. The research about the information dimension of the temporal and spatial ditributions of earthquakes is significant for the exploration of active fault zones and seismisc prediction.
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    • References (1)
  • [1] Mandelblot, B. B., 1982 .The Frartul Georrmlry of Nature, 1——376. W. H. Freeman, New York.

    [2] 姚勇, 1987.嫡、分维、李雅普诺夫指数与混沌.自然杂志, 10, 5. 359——365.

    [3] 罗久里、韩渭宾、徐叶邦、刘冬燕、彭涛, 1989.地震前兆的动力学特征——是否存在着地震前兆吸引子?大自然探索, 8, 29, 21——27.

    [4] Kaga n, Y. Y.and Knopoff.L.,1980. Spatial distribution of earthquakes:the two——point correlation funstion .Gcoplys, J. R.ast..62—— ,303——320.

    [5] Sadovskiy, M. A.. Golubeva.T. V., Pisarenko . V. F. and Shni r man , M. G., 1984 Characteristic dimenlions of rock and hierachical properties of seismicity.T. V.Acucl . Sci. USSR Phys. Solid. Earth, Engl.Traps., 20, 87——96.

    [6] Kagan, Y. Y. and Knopoff, L..1978. Statistical study of the occurence of shallow earthquakes.J. RW u.str .Sm.55, 87——96.

    [7] Kagan, Y. Y. and Knopoff, L——1981 .Stochastic synthesis of earthquake catalog.J. Genplws.Res 86 2853——286?.

    [8] Smallev, Jr——R. F, Chatelain, J. L——Turcotte, D. L. and Prevot, 8.1987. A fractal approach to the clus tering of earthquakes applications to the seismicity of the New Hebrides.Bull. Selsm . Snc ..4nu r . ,77 1368——1381

    [9] 郝柏林, 1985.分形分维.科学杂志, 38 ,1 ,9——17

    [10] 程光主编1989.分形理论及其应用.全国分形理论及应川学术讨论会文集, 94一四川大学出版社, 成都

    [11] Jens Feder.1988 .lrcurul.88 .Plcnum Press、New York

    [12] Tamas, V19H9 Frc——l Grnwllr Plmrromercr.55 .World Scientific Publishing Co .Pte. Ltd——Singapore.

    [1] Mandelblot, B. B., 1982 .The Frartul Georrmlry of Nature, 1——376. W. H. Freeman, New York.

    [2] 姚勇, 1987.嫡、分维、李雅普诺夫指数与混沌.自然杂志, 10, 5. 359——365.

    [3] 罗久里、韩渭宾、徐叶邦、刘冬燕、彭涛, 1989.地震前兆的动力学特征——是否存在着地震前兆吸引子?大自然探索, 8, 29, 21——27.

    [4] Kaga n, Y. Y.and Knopoff.L.,1980. Spatial distribution of earthquakes:the two——point correlation funstion .Gcoplys, J. R.ast..62—— ,303——320.

    [5] Sadovskiy, M. A.. Golubeva.T. V., Pisarenko . V. F. and Shni r man , M. G., 1984 Characteristic dimenlions of rock and hierachical properties of seismicity.T. V.Acucl . Sci. USSR Phys. Solid. Earth, Engl.Traps., 20, 87——96.

    [6] Kagan, Y. Y. and Knopoff, L..1978. Statistical study of the occurence of shallow earthquakes.J. RW u.str .Sm.55, 87——96.

    [7] Kagan, Y. Y. and Knopoff, L——1981 .Stochastic synthesis of earthquake catalog.J. Genplws.Res 86 2853——286?.

    [8] Smallev, Jr——R. F, Chatelain, J. L——Turcotte, D. L. and Prevot, 8.1987. A fractal approach to the clus tering of earthquakes applications to the seismicity of the New Hebrides.Bull. Selsm . Snc ..4nu r . ,77 1368——1381

    [9] 郝柏林, 1985.分形分维.科学杂志, 38 ,1 ,9——17

    [10] 程光主编1989.分形理论及其应用.全国分形理论及应川学术讨论会文集, 94一四川大学出版社, 成都

    [11] Jens Feder.1988 .lrcurul.88 .Plcnum Press、New York

    [12] Tamas, V19H9 Frc——l Grnwllr Plmrromercr.55 .World Scientific Publishing Co .Pte. Ltd——Singapore.
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