Study on Fractal Characteristics of Displacement and Cracks of Baishuihe Landslide in the Three Gorges Reservoir Area
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摘要: 地表位移与裂缝发育是滑坡变形演化最为直观的表现形式,因此,通过位移监测数据与地表裂缝发育状况来揭示滑坡变形破坏特征与演化阶段对于滑坡灾害的分析防治具有重要的现实意义。本文选取了三峡库区白水河滑坡为研究对象,系统搜集并分析了2003-2016年滑坡监测数据,选取ZG93和ZG118两监测点,首先基于R/S分析计算了位移数据的分形参数Hurst指数;其次以每年为时间间隔对两监测点位移进行多重分形维数计算研究;最后引入滑坡裂缝分期配套理论,对白水河滑坡目前裂缝发育状况进行裂缝分形维数计算。结果表明,两监测点位移分形维数H指数均大于0.5,说明滑坡位移序列存在一定的正相关性;白水河滑坡演化过程分为平稳变形状态(2003年6月~2007年6月)、加速变形状态(2007年6月~2009年12月)、平稳变形状态(2009年12月~2015年12月);对比地表裂缝分形维数与滑坡裂缝分期配套规律可知,白水河滑坡目前裂缝发育仍然处在阶段I,即初始变形阶段。Abstract: The surface displacement and fracture development are the most intuitive manifestation of landslide deformation and evolution. Therefore, it is of great practical significance to reveal the characteristics and evolution stages of landslide deformation and fail-ure through displacement monitoring data and surface fracture development. In this paper, Baishuihe landslide in the Three Gorges Reservoir area is selected as the research object, and the monitoring data of 2003-2016 are systematically collected and analyzed. The monitoring data of ZG93 and ZG118 are selected. Firstly, the fractal parameter Hurst index R/S analysis is carried out for the displacement data. Secondly, the multi fractal dimension calculation and research are carried out for the displacement of the two monitoring points at the time interval of each year. Finally, the theory of stage matching of landslide cracks is intro-duced, and the fracture fractal dimension of Baishuihe landslide is calculated. The results show that there is a certain positive correlation between the landslide displacement sequence, and the fractal dimension H index of the two monitoring points is greater than 0.5. The evolution process of Baishuihe landslide can be divided into steady deformation state (June 2003 June 2007 June 2007), accelerated deformation state (June 2007 December 2009), and steady deformation state (December 2009 December 2015). According to the matching law of fracture stages, the development of the landslide is still in I stage, i.e. initial deformation stage.
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Key words:
- Fractal theory /
- Baishuihe landslide /
- displacement /
- fracture /
- Three Gorges Reservoir
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