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华北地区地震时间结构的多分形特征 被引量:3

MULTI-FRACTAL CHARACTERISTICS OF TIME STRUCTURE OF EARTHQUAKES IN NORTH CHINA
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摘要 利用固定半径法和直接计算法系统研究了华北地区(N30°~43°,λE106°~125°)13个K表性子区地震时间结构的广义维数Dq—q及标度指数谱f(a)—a的特征,并与单—Dq—t曲线进行了对比。结果表明;(1)华北地区地震时间结构为多分形结构,单一分形不能完整地描述其分形特征,应该用Dq—q或f(a)—a来加以分析;(2)华北强震前的0.5~2.0年.周围地区地震活动的时间多分形结构出现异常,主要表现为q为负时Dq增大、q为正时Dq减小,或f(a)两端点下降,a跨度增大及顶点右偏等现象,这是对地震密集—平静现象的另一种描述;(3)华北地区地震时间多分形方法回顾性预报评分R=0.47,说明其有一定预报效能,是有前景的预报方法。 The characteristics of generalized dimension Dq-q and scale index spectrum f(a) -a of time structure of earthquakes in 13 typical subareas in North China (N30°- 40°, λE106°~125°) were systematicaly studied with fixed radius method and directe calculation method. It is compared with single curve Dq-q and the result shows: (1) The time structure of earthquakes in North China is a multi-fractal structure. Single fracter can not completly describe its fractal characteristics,so it should be analysed with Dq-q or f(a) -a; (2) Multi-fractal structure anomaly of time appears 0. 5~2. 0 years before strong earthquakes happened in North China. The anomalies mainly are: Dq increaseas when q is negative;Dq decreases or the two ends of f(a) descend,the span of increases and the vertex moves right when q is positive. This is another description for the phenomenon of dense and quiescence of earthquakes. (3) The multi-f racial method for time structure of earthquakes in North China has certain effect on earthquake prediction. It is a promising method to predict earthquakes. Some relevantproblems about seismic rnultl-f racial method are discussed also in the paper.
机构地区 山东省地震局
出处 《内陆地震》 1996年第2期103-112,共10页 Inland Earthquake
关键词 地震 分数维 华北地区 时间结构 多分形特征 Earthquake Characteristics of time distribution Fractional dimensionNorth China
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  • 1Beno?t B. Mandelbrot. Multifractal measures, especially for the geophysicist[J] 1989,Pure and Applied Geophysics PAGEOPH(1-2):5~42
  • 2P. Grassberger,R. Badii,A. Politi. Scaling laws for invariant measures on hyperbolic and nonhyperbolic atractors[J] 1988,Journal of Statistical Physics(1-2):135~178

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