信息量与分维在地震预报中的应用
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AN APPLICATION OF INFORMATION VALUE AND FRACTION DIMENSION IN SEISMIC PREDICTION
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    摘要:

    本文从C.E.Shannon的信息量公式出发,定义了地震序列信息量公式,推导了关于b值的地震序列信息量公式,並以门源地震的余震序列为例,计算了余震的实际信息量和理论信息量,同时将二者进行了对比,得到了H(ΔM)=α-β1nΔM的结果,由此得出了地震序列的信息维数值。本文还计算了海城地震前震和余震序列、参窝水库和隆尧震群序列、唐山和门源余震序列的信息量和信息维的时间扫描值,得到以下主要结果:(1) 余震的信息维是随时间波动、衰减的;(2) 强震前信息维降低。

    Abstract:

    In this paper, using C. E. Shannon's information formula the author defines earthquake sequence information formula and obtains earthquake sequence information formula of the b value. Taking Menyuan aftershock sequence and other sequences for examples, practical earthquake sequence information and theoretical ones are calculated and compared each other. A result is obtained, it is H (△M)=α-βln△M and information dimension of earthquake sequence is obtained too. This paper calculates information and information dimension of foreshock and aftershock sequences of Haicheng earthquake, swarm sequences of Shenwo reservoir and Longyao, and Tangshan and Menyuan aftershock sequences. The following main results are got:
    (1) Information dimension of aftershock sequences waves and reduces with time.
    (2) Information dimension drops before strong earthquakes.

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张晓东.信息量与分维在地震预报中的应用[J].地震工程学报,1989,11(3):16-26. Zhang Xiaodong. AN APPLICATION OF INFORMATION VALUE AND FRACTION DIMENSION IN SEISMIC PREDICTION[J]. China Earthquake Engineering Journal,1989,11(3):16-26.

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  • 收稿日期:1988-11-01
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  • 在线发布日期: 2017-07-04