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长江三峡黄腊石和黄土坡滑坡分形分维分析
引用本文:吴树仁,梅应堂.长江三峡黄腊石和黄土坡滑坡分形分维分析[J].地球科学,2000,25(1):61-65.
作者姓名:吴树仁  梅应堂
作者单位:1.中国地质科学院地质力学研究所,北京 100081
基金项目:国家“九五”科技攻关项目子题!(No .95 -913 -0 2 -0 4-0 6),国家自然科学基金资助项目!(No .49772 14 5 )
摘    要:为了探索复杂滑坡轨迹结构演化及其稳定性定量分析计算的新途径, 利用分形分维理论, 分析三峡库首区黄腊石滑坡和黄土坡滑坡边界轨迹的几何分形结构, 并采用盒维数法分别求得黄腊石滑坡西部活动性滑坡群、东部小滑坡群和整个滑坡系统及黄土坡滑坡分形结构的特征性斜率曲线和分维值.计算结果表明: 每个滑坡群的轨迹结构具有其特征性的分维值, 轨迹结构越复杂, 结构层次越清楚, 分维值越高.其中, 黄腊石滑坡西部活动性滑坡群的分维值最高, D =1.483, 黄土坡滑坡的分维值最低, D =1.111.主要结论包括: (1) 滑坡边界轨迹存在统计上的自相似性, 具有分形结构特征; (2) 滑坡轨迹结构的宏观扩展变形过程是一个增维过程, 而不是降维过程; (3) 滑坡轨迹结构越复杂, 有序性越好, 分维值越高, 其稳定性越差; 因此, 分数维可作为衡量滑坡轨迹结构复杂性和稳定性的重要标志. 

关 键 词:黄腊石滑坡    黄土坡滑坡    滑坡轨迹结构    分形分维
文章编号:1000-2383(2000)01-0061-05
收稿时间:1999-03-15

FRACTAL ANALYSIS OF HUANGLASHI AND HUANGTUPO LANDSLIDES IN THREE GORGES, CHANGJIANG RIVER, CHINA
Wu Shuren,Shi Ling,Tan Chengxuan,Hu Daogong,Mei Yingtang,Xu Ruichun.FRACTAL ANALYSIS OF HUANGLASHI AND HUANGTUPO LANDSLIDES IN THREE GORGES, CHANGJIANG RIVER, CHINA[J].Earth Science-Journal of China University of Geosciences,2000,25(1):61-65.
Authors:Wu Shuren  Shi Ling  Tan Chengxuan  Hu Daogong  Mei Yingtang  Xu Ruichun
Institution:Wu Shuren 1 Shi Ling 1 Tan Chengxuan 1 Hu Daogong 1 Mei Yingtang 2 Xu Ruichun 2
Abstract:In order to discover a new approach to the quantitative analysis of the evolution and stability of the complex landslide trace pattern, the fractal theory is employed to analyze the geometrical fractal pattern of the self_similar boundary trace between the Huanglashi landslide and the Huangtupo landslide in the fore_reservoir region of the Three Gorges, Changjiang River. In addition, the box dimension method is employed to obtain the characteristic slope curves and fractal values for the corresponding fractal patterns of the active landslide cluster in the west of the Huanglashi landslide, the small landslide cluster in the east of the Huanglashi landslide, the whole landslide system of the Huanglashi landslide, and the Huangtupo landslide respectively. The computation results show that the trace pattern of each landslide cluster is characterized by its characteristic fractal value. The more complex the trace pattern, the clearer the structure layers, and the higher the fractal value. In particular, the highest fractal value is D =1.483 located in the active landslide cluster in the west of the Huanglashi landslide, and the lowest fractal value D =1.111 located in the Huangtupo landslide. The fractal analysis of the Huangtupo landslide and the Huanglashi landslide provides us with the following major conclusions: (1) The statistical self_similarity and the fractal structure are both present in the boundary trace between the landslides. (2) The macro_extension deformation process of the landslide trace pattern is characterized by the increase in the dimension instead of the decrease in the dimension. (3) The more complex the landslide trace pattern, the better the sequential order, the higher the fractal value, and the poorer the stability of the corresponding landslide. Therefore, the fractal dimension may serve as a statistical assessment criterion for the analysis of the complexity and stability of the landslide trace pattern.
Keywords:Huanglashi landslide  Huangtupo landslide  landslide trace pattern  fractal dimension  
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