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三峡库区重庆段滑坡活动时间分布的物理分形研究
引用本文:樊晓一,田宏岭.三峡库区重庆段滑坡活动时间分布的物理分形研究[J].中国地质灾害与防治学报,2009,20(2):1-6.
作者姓名:樊晓一  田宏岭
作者单位:1. 西南科技大学土木工程与建筑学院,四川,绵阳,621010
2. 中国科学院,水利部成都山地灾害与环境研究所,四川,成都,610041
基金项目:国家科技部"十一五"科技支撑计划项目,国家科技部国际合作,中科院三期重要方向创新项目,西南科技大学引进人才科研基金,四川省教育厅青年基金项目 
摘    要:在许多研究滑坡活动分布的分形特征中,未能考虑无标度区的范围,并将滑坡分布作为数学点来描述而未考虑滑坡规模对分形结果的影响。这种研究结果主要反映了数量众多的规模较小滑坡活动的特点,掩盖了规模较大的滑坡分布特征。本文研究了重庆三峡库区1594个规模大于1×10^4m^3的滑坡活动时间分布资料,分析了滑坡活动时间的均匀分布、Poisson分布和分形分布结果。提出运用物理分形的方法,将滑坡活动按不同规模等级划分为4个子集,分析了各个子集的分维D,无标度区的范围和自然周期。表明运用物理分形的方法能描述不同规模等级滑坡活动时间分布的分形特征。

关 键 词:物理分形  滑坡活动  时间分布  三峡库区

Physics fractal of temporal distributing of the landslides in the Three Gorges Reservoir
FAN Xiao-yi,TIAN Hong-ling.Physics fractal of temporal distributing of the landslides in the Three Gorges Reservoir[J].The Chinese Journal of Geological Hazard and Control,2009,20(2):1-6.
Authors:FAN Xiao-yi  TIAN Hong-ling
Institution:FAN Xiao-yi, TIAN Hong-ling (1. School of Civil Engineering and Architecture, Southwest University of Science and Technology, Mianyang 621010, China; 2. Institute of Mountain Hazard and Environment of Chinese Academy of Sciences and Ministry of Water Conservancy, Chengdu 610041, China)
Abstract:In many studying on the fractal of the landslides distributing,the scale spectrum had not been considered.At the same time.The landslides distributing had been described as the dots on the maths and they could not study the influence of landslides size upon the fractal.The research mainly reflected the characteristic of the numerous landslides with smaller size,but covered the larger size.On the base of the datum about the time distribution of landslides in the Three Gorges Reservior,the whole landslides time' s equality distribution,Poisson distribution and fractal distribution were studied.According to different size ranks,the approach of physics fractal had been proposed to divide the landslides into 4 subsets and study their dimensions(D),scale spectrums and natural cycles.The result indicated the physics fractal can truly reflect the fractal of landslides time distribution with different size ranks.
Keywords:physics fractal  activity of landslides  temporal distributing  the Three Gorges Reservoir
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