[1]王 威,田 杰,苏经宇,等.围岩稳定性评价的分形—插值模型[J].西安建筑科技大学学报:自然科学版,2012,44(02):204-209,230.[doi:10.15986/j.1006-7930.2012.02.010]
　WANG Wei,TIAN Jie,SU Jing-yu,et al.Evaluation method of the surrounding rocks stability based on the fractal interpolation model[J].J.Xi’an Univ. of Arch. & Tech.:Natural Science Edition,2012,44(02):204-209,230.[doi:10.15986/j.1006-7930.2012.02.010]
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围岩稳定性评价的分形—插值模型()
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西安建筑科技大学学报:自然科学版[ISSN:1006-7930/CN:61-1295/TU]

卷:
44
期数:
2012年02期
页码:
204-209,230
栏目:
出版日期:
2012-04-30

文章信息/Info

Title:
Evaluation method of the surrounding rocks stability based on the fractal interpolation model
文章编号:
1006-7930(2012)02-0204-06
作者:
王 威1; 2; 田 杰2; 苏经宇1; 马东辉1; 刘朝峰1; 2
(1.北京工业大学抗震减灾研究所,北京 100124;2.北京工业大学建筑工程学院,北京 100124)
Author(s):
WANG Wei1; 2; TIAN Jie2; SU Jing-yu1; MA Dong-hui1; LIU Chao-feng1; 2
(1.Institute of Earthquake Resistance and Disaster Reduction, Beijing University of Technology, Beijing 100124, China; 2.College of Civil Engineering, Beijing University of Technology, Beijing 100124, China)
关键词:
分形理论; 分维数; 插值; 围岩稳定性; 评价
Keywords:
fractal theory;  fractal dimension;  interpolation;  surrounding rock stability;  evaluation
分类号:
TU 457
DOI:
10.15986/j.1006-7930.2012.02.010
文献标志码:
A
摘要:
围岩的稳定性评价是一个复杂的不确定系统问题,为了准确评价围岩所处的稳定性状态,进而为围岩稳定性的防治提供科学依据,提出了基于分形—插值模型的围岩稳定性评价方法.该方法首先选取影响围岩稳定性评价的5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50个标准样本,用于构建围岩稳定性分类的分形—插值模型;其次根据最大似然分类原则确定每个围岩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:该模型的评价结果是准确和可靠的,与采用其他几种分类方法所得结论一致.此外,该模型可以得出每个样本的具体得分值,即使对属于同一级的样本也可以排出它们的优劣顺序,因而具有较高的分类精度,为围岩稳定性评价提供了一种较好的新方法
Abstract:
Evaluation of the stability of surrounding rock is a complex system problem of uncertainty. For the sake of accurate evaluation of the estate of surrounding rock’s stability, so as to provide scientific basis for the prevention of surrounding rock stability, this paper brings forward the evaluating method for surrounding rock’s stability based on fractal interpolation theory. Firstly, five key factors are chosen to construct the model. 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 surrounding rock stability, the fractal dimension exponent evaluation of the index of single surrounding rock stability with the maximum likelihood classification principle is confirmed. Thirdly, adopting weighted summation value, the method calculates the level of the colligate estimation of multiindex of surrounding rock stability, and helps establish the fractal interpolation evaluation model according to the relationship between the value of comprehensive evaluation of the samples and the experience level. Finally, five unknown samples are classified based on the model. The classification results are consistent with those from other methods. It is shown that the model here is feasible and effective in evaluating surrounding rock’s stability. Moreover, particular score of each sample could be computed by the model, so it has more precise classification and is a rather better new method

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备注/Memo

备注/Memo:
收稿日期:2011-06-15 修改稿日期:2011-12-14
基金项目:国家十二五科技支撑计划基金资助项目(2009BAJ28B04、2011BAK07B01、2011BAJ08B03、2011BAJ08B05);中国博士后科学基金资助项目(2011M500199)
作者简介:王 威(1981-),男,河南沈丘人,博士后,助理研究员,主要从事城市与工程安全减灾研究
更新日期/Last Update: 2015-09-01