基于多重分形理论的滑坡地表监测位移分析  

Analysis of landslide surface monitoring displacement based on multi-fractal theory

作　　者：桂蕾[1] 殷坤龙[1] 

机构地区：[1]中国地质大学(武汉)工程学院,湖北武汉430074

出　　处：《中南大学学报（自然科学版）》2014年第11期3908-3914,共7页Journal of Central South University:Science and Technology

基　　金：国家自然科学基金委员会科学部主任基金资助项目(41240023);国家自然科学基金青年科学基金资助项目(41101515);中国地质调查局项目(1212011220173)~~

摘　　要：基于滑坡地表位移监测数据,运用多重分形理论中的广义关联维计算方法,分析滑坡变形演化过程中所表现出的多重分形特征。首先,从具有蠕变特性的滑坡的理想演化过程出发,构造简化函数,探明不同变形阶段滑坡位移的多重分形特征及其变化规律,其次,结合滑坡实例,验证运用滑坡累积位移曲线的多重分形特征来判别滑坡的变形阶段和稳定性状态的可行性。研究结果表明:对于蠕变型滑坡,状态越稳定,其相应累积位移曲线的多重分维值均值越大,反之,多重分维值均值越小,且滑坡进入加速变形前期,此多重分维值分布会伴随出现突变点;蠕变型滑坡累积位移多重分维值能够作为表征滑坡变形趋势及稳定性状态的特征量,为该类型的滑坡局部稳定性评价及预测提供依据。According to the landslides surface displacement monitoring data, the multi-fractal characteristics of landslide deformation evolution were analyzed using correlation dimension method based on the multi-fractal theory. Firstly, the ideal deformation evolution process of creep moving landslide was studied, and different functions were simplified to represent the displacement curve of different landslide deformation stages. Secondly, based on the analysis of real landslide samples, the acceptance of using the multi fractal characteristics of landslide displacement as a proxy to estimate landslide deform stage and stability was proved. The results show that for creep moving landslide, the more stable the landslide is, the higher the multi fractal dimension of cumulative displacement curve will be obtained, and usually before an accelerate deformation stage of this kind of landslide, there will be a turning point of its multi fractal dimension distribution. In addition, for creep landslide, multi fractal dimension can be adopted as a proxy to represent the local deforms situation and stability of this kind of landslide, which is meaningful for the assessment and prediction of landslide local stability.

关 键 词：多重分形 滑坡 GPS监测 

分 类 号：P642.22[天文地球—工程地质学]