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对地震序列时间分布广义分维的初步探讨
引用本文:马文静,张晓东.对地震序列时间分布广义分维的初步探讨[J].内陆地震,1992,6(1):1-6.
作者姓名:马文静  张晓东
作者单位:青海省地震局 西宁 (马文静),青海省地震局 西宁(张晓东)
摘    要:以1990年4月26日共和7.0级地震为例,讨论了地震序列时间分布特征,发现用“标度变换法”求时间容量维时,很难找到严格意义上的无标度区,因而用“广义无标度区”的概念计算出一组“广义分维”。讨论了震级下限对“广义无标度区”及“广义分维”值的影响、实际地震分布与Poisson分布、随机Cantor集合的偏离等问题。对时间序列的“广义分维值”进行扫描发现,在强余震前个别标度区有降维现象。

关 键 词:广义分维  地震  时间序列  分布

THE PRELIMINARY STUDY ON GENERALIZED FRACTAL DIMENSION FOR TEMPORAL DISTRIBUTION OF EARTHQUAKE SEQUENCE
Ma Wenjing Zhang Xiaodong.THE PRELIMINARY STUDY ON GENERALIZED FRACTAL DIMENSION FOR TEMPORAL DISTRIBUTION OF EARTHQUAKE SEQUENCE[J].Inland Earthquake,1992,6(1):1-6.
Authors:Ma Wenjing Zhang Xiaodong
Abstract:Take Gonghe MS7.0 earthquake on Appril 26, 1990 as an example, the temporal distribution characteristics of earthquake sequence was discussed. It was discovered that to find several non-scale area was very hard when the "method of scale transform" was used to get temporal content dimension. So,a group of "generalized fractal dimension" was calculated from the conception of generalized non-scale area. It was discussed that the lower limit of magnitude has influence upon "generalized non-scale area" and " generalized fractal dimension". The deviation of real earthquake distribution and poisson distribution and random cantor set were discussed also. Through scanning the " generalized fractal dimension value" ,it was found that there was phenomenon of dimension reduce in individual scale area before strong aftershock.
Keywords:Generalized fractal dimension Non-scale areaTemporal sequence of earthquakes Gonghe earthquake
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