滑坡位移多重分形特征与滑坡演化预测  

Landslide displacement multifractal and its application to prediction of evolvement trend

作　　者：樊晓一[1] 

机构地区：[1]西南科技大学土木工程与建筑学院,四川绵阳621010

出　　处：《岩土力学》2011年第6期1831-1837,共7页Rock and Soil Mechanics

基　　金：科技部国际合作项目资助(No.2009DFB20196);四川省教育厅项目资助(No.09ZA130);西南科技大学科研基金资助(No.07ZX7133)

摘　　要：在系统分析滑坡位移监测资料和位移演化特征的基础上,根据多重分形理论基本原理,对滑坡位移演化所具有的复杂性、突变性和非线性特征进行了分析和研究。单一分形维数对滑坡位移的演化趋势预测存在不足,文中分别以新滩滑坡、丹巴滑坡和黄蜡石滑坡为例,计算了滑坡位移时序演化的多重分维数演化特征。分析和评价位移演化规律与多重分维数演化特征的关系发现,多重分维数D1>D2>…>D∞时,滑坡趋于稳定;D1<D2<…<D∞时,滑坡向失稳破坏演化。当滑坡位移时序多重分维数演化特征出现拐点时,即分维数由D1>D2>…>D∞,经D1>…>Dn<Dn+1<…<D∞到D1<D2<…<D∞的演化过程时,滑坡向不稳定的状态演化;当分维数由D1<D2<…<D∞,经D1>…>Dn<Dn+1<…<D∞,到D1>D2>…>D∞的演化过程时,滑坡向趋于稳定的状态演化。研究表明,可以运用多重分维数演化特征对滑坡位移演化趋势与规律进行评价与预测。Based on systematic analysis of the landslide displacements and its evolvement characteristics,a detailed research is performed on the features of the complexity,catastrophe and nonlinearity in terms of the basic principle of multifractal.The single fractals are deficiencies in prediction of evolvement trend of landslide displacement.The evolvement of landslide displacement is determined by the multifractal dimensions.Firstly,taking the typical landslides——The Xintan landslide,Danba landslide and Huanglashi landslide as the practical examples,the evolvement of multifractal dimensions of the displacement-time are calculated.Secondly,the correlation between the displacement evolvement and multifractal dimensions is studied.It is found that the landslides are stable when the multifractal dimensions are D1 D2 … D∞ and the landslides are unstable when the multifractal dimensions are D1 D2 … D∞.Moreover,if there were inflexions in the multifractal dimensions of landslide displacements-time the landslide stability would change.For example,they are from D1 D2 … D∞,through D1 … Dn Dn＋1 … D∞ to D1 D2 … D∞,the landslides are unstable gradually.On the contrary,when they were from D1 D2 … D∞,through D1 … Dn Dn＋1 … D∞ to D1 D2 … D∞,the landslides are stable gradually.The study results show that the multifractal dimensions of displacement are an effective method to evaluate and predict landslide displacement evolvement.

关 键 词：多重分维数 演化特征 位移预测 滑坡 

分 类 号：P642.22[天文地球—工程地质学]