饱和砂土地震液化判别的分形插值模型  

Fractal interpolation model of seismic liquefaction discrimination of saturated sandy soil

作　　者：王威[1,2] 苏经宇[1] 马东辉[1] 韩阳[2] 

机构地区：[1]北京工业大学抗震减灾研究所,北京100124 [2]河南工业大学防灾减灾工程研究所,河南郑州450052

出　　处：《世界地震工程》2012年第1期118-124,共7页World Earthquake Engineering

基　　金：国家十一五科技支撑计划项目(2009BAJ28B04;2011BAK07B01;2011BAJ08B03;2011BAJ08B05);中国博士后科学基金资助项目(2011M500199)

摘　　要：借鉴分形基本理论,提出了基于分形插值模型的饱和砂土地震液化判别方法。该方法首先选取影响饱和砂土地震液化判别的7个主要因素,根据分类标准,采用在每级标准中随机内插的方法,得到40个标准样本,用于构建饱和砂土地震液化判别的分形插值模型;其次根据最大似然分类原则确定每个饱和砂土地震液化判别指标的评价分维数;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,进行了实例分析结果表明:该模型的评价结果合理、客观,计算得到的每个样本具体得分值,即使对属于同一级的样本也可以给出其地震液化程度的顺序,为饱和砂土地震液化评价工作提供了一种新的研究方法与思路。Fractal interpolation model of seismic liquefaction discrimination of saturated sandy soil was proposed.Firstly,seven key factors were chosen to construct the model.In addition,because of few standard samples,forty standard samples are produced by the way of stochastic interpolation on basis of classification standard;Secondly,the fractal dimension of single index of seismic liquefaction discrimination of saturated sandy soil was determined with the maximum likelihood classification principle;Thirdly,by use of weighted summation method,the article calculates samples＇ comprehensive evaluation value 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,twenty-five samples were evaluated by using the fractal interpolation model to compute particular score of each sample.The results show that the fractal interpolation model evaluated results are reasonable and objective,the method has better reliability and stability and could provide a new method and idea for research on seismic liquefaction of saturated sandy soil.

关 键 词：分形插值模型 分维数 饱和砂土 地震液化 判别 

分 类 号：TU441[建筑科学—岩土工程]