基于分形插值模型的边坡地震稳定性评价方法

Evaluation on Seismic Stability of Slopes Based on Fractal Interpolation Model

借鉴分形基本理论,提出了基于分形-插值模型的边坡地震稳定性评价方法.该方法首先选取影响边坡地震稳定性评价的岩土体特性、新构造运动特性、坡高、坡角、年均降雨量和场地地震烈度6个参数作为岩土边坡地震稳定性综合评价的指标,并确定指标的分级标准,采用在每级标准中随机内插的方法,得到50个标准样本,用于构建边坡地震稳定性评价的分形-插值模型;其次根据最大似然分类原则确定每个边坡地震稳定性指标的评价分维数;然后利用加权求和法计算样本的综合评价值,并根据样本综合评价值与经验等级之间的关系建立分形-插值评价模型;最后,通过实例分析表明:该模型的评价结果合理、客观,为边坡地震稳定性评价工作提供了一种新的研究方法与思路.

Fractal interpolation model for evaluation of seismic stability of slopes is proposed.Firstly,six key factors are selected as the factors for synthetic evaluation of slope seismic stability.In addition,because of few standard samples,fifty standard samples are produced by the way of stochastic interpolation on basis of classification standard;Secondly,through calculating the fractal dimension of single index of seismic stability of slopes,confirming the fractal dimension exponent evaluation of the index of single slope with the maximum likelihood classification principle;Thirdly,adopting weighted summation value,this method calculates the level of the colligate estimation of multi-index of slope and establishes the fractal interpolation evaluation model according to the relationship between the value of comprehensive evaluation of the samples and the experience level;Finally,ten samples are evaluated.The results show that the fractal interpolation model results are reasonable and objective,and they have better reliability and stability so as to provide a new research method and idea for seismic stability of slopes.