岩体质量评价的分形插值模型
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摘要
岩体质量分类是一个复杂的不确定系统问题,为准确评价岩体质量所处的分类状态,进而为岩体质量的防治提供科学依据,提出基于分形插值模型的岩体质量评价方法。该方法首先选取影响岩体质量评价的8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,用于构建岩体质量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岩体质量评价指标的评价分维数;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,为岩体质量评价提供了一种较好的新方法。
Evaluation of rock mass quality is a complex system problem with uncertainty.For the sake of accurate evaluation of the estate of rock mass quality,and to provide scientific basis for the prevention of rock mass quality,the evaluating method for rock mass quality based on fractal interpolation theory was brought forward.Firstly,eight key factors were chosen to construct the model.In addition,because of few standard samples,fifty standard samples were produced by the way of stochastic interpolation on basis of classification standard.Secondly,through calculating the fractal dimension of single index of rock mass quality,the fractal dimension exponent evaluation of the index of single rock mass quality with the maximum likelihood classification principle was confirmed.Thirdly,adopting weighted summation value this method calculated the level of the colligate estimation of multi-index of rock mass quality and established the fractal interpolation evaluation model according to the relationship between the value of comprehensive evaluation of the samples and the experience level.Finally,four samples were classified based on the model.The classification results are consistent with that from other methods.It is shown that the model here is feasible and effective in evaluating rock mass quality.Moreover,particular score of each sample can be computed by the model,and so it has more precise classification and is a better new method.
Evaluation of rock mass quality is a complex system problem with uncertainty.For the sake of accurate evaluation of the estate of rock mass quality,and to provide scientific basis for the prevention of rock mass quality,the evaluating method for rock mass quality based on fractal interpolation theory was brought forward.Firstly,eight key factors were chosen to construct the model.In addition,because of few standard samples,fifty standard samples were produced by the way of stochastic interpolation on basis of classification standard.Secondly,through calculating the fractal dimension of single index of rock mass quality,the fractal dimension exponent evaluation of the index of single rock mass quality with the maximum likelihood classification principle was confirmed.Thirdly,adopting weighted summation value this method calculated the level of the colligate estimation of multi-index of rock mass quality and established the fractal interpolation evaluation model according to the relationship between the value of comprehensive evaluation of the samples and the experience level.Finally,four samples were classified based on the model.The classification results are consistent with that from other methods.It is shown that the model here is feasible and effective in evaluating rock mass quality.Moreover,particular score of each sample can be computed by the model,and so it has more precise classification and is a better new method.
引文
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[7]文畅平.基于属性数学理论的岩体质量分级方法[J].水力发电学报,2008,27(3):75-80.WEN Chang-ping.Classification of rock-mass stability based onattributive mathematical theory[J].Journal of HydroelectricEngineering,2008,27(3):75-80.
[8]宫凤强,李夕兵.距离判别分析法在岩体质量等级分类中的应用[J].岩石力学与工程学报,2007,26(1):190-193.GONG Feng-qiang,LI Xi-bing.Application of distancediscriminant analysis method to classification of engineeringquality of rock masses[J].Chinese Journal of Rock Mechanicsand Engineering,2007,26(1):190-193.
[9]肖云华,王清,陈剑平.基于优化技术的权重计算方法在岩体质量评价中的应用[J].岩土力学,2009,30(9):2686-2690.XIAO Yun-hua,WANG Qing,CHEN Jian-ping.Application ofmethod for weight calculation based on optimization techniqueto evaluate rock mass quality[J].Rock and Soil Mechanics,2009,30(9):2686-2690.
[10]王威,田杰,马东辉,等.基于分形维数权重的泥石流危险度评价[J].山地学报,2011,29(6):747-752.WANG Wei,TIAN Jie,MA Dong-hui,et al.Evaluation ofdangerous degree of debris flow based on fractal dimensionweight[J].Journal of Mountain Science,2011,29(6):747-752.
[11]田杰,王威,郭小东,等.基于分形插值模型的岩爆预测研究[J].北京工业大学学报,2012,38(4):481-487.TIAN Jie,WANG Wei,GUO Xiao-dong,et al.Prediction ofrock burst based on the fractal interpolation model[J].Journal ofBeijing University of Technology,2012,38(4):481-487.
[12]王威,田杰,王志涛,等.城市综合承灾能力评价的分形模型[J].中国安全科学学报,2011,21(5):171-176.WANG Wei,TIAN Jie,WANG Zhi-tao,et al.Fractal model forevaluating urban comprehensive disaster-carrying capability[J].China Safety Science Journal,2011,21(5):171-176.
[13]王威,苏经宇,马东辉,等.饱和砂土地震液化判别的分形插值模型[J].世界地震工程,2012,28(1):118-124.WANG Wei,SU Jing-yu,MA Dong-hui,et al.Fractalinterpolation model of seismic liquefaction discrimination ofsaturated sandy soil[J].World Earthquake Engineering,2012,28(1):118-124.
[14]GB 50218—94,工程岩体分级标准[S].GB 50218—94,Classification Criterion of EngineeringRocks[S].
[15]GD 50287—99,水利水电工程地质勘察规范[S].GD 50287—99,Code for Water Resources and HydropowerEngineering Geological Investigation[S].
[2]刘玉成,刘延保.灰色关联理论在矿山岩体质量评价中的应用[J].矿业工程,2006,4(6):16-17.LIU Yu-cheng,LIU Yan-bao.Gray relevancy theory applied inassessment of rock body quality of mine[J].Mining Engineering,2006,4(6):16-17.
[3]康志强,冯夏庭,周辉.基于层次分析法的可拓学理论在地下洞室岩体质量评价中的应用[J].岩石力学与工程学报,2006,25(增):3687-3693.KANG Zhi-qiang,FENG Xia-ting,ZHOU Hui.Application ofextenics theory to evaluation of underground cavern rock qualitybased on stratification analysis method[J].Chinese Journal ofGeotechnical Engineering,2006,25(S):3687-3693.
[4]王彪,陈剑平,李钟旭,等.人工神经网络在岩体质量分级中的应用[J].世界地质,2004,23(1):64-68.WANG Biao,CHEN Jian-ping,LI Zhong-xu,et al.Applicationof artificial neural network in rock mass quality classification[J].Global Geology,2004,23(1):64-68.
[5]赵洪波,冯夏庭,尹顺德.基于支持向量机的岩体工程分级[J].岩土力学,2002,23(6):698-701.ZHAO Hong-bo,FENG Xia-ting,YIN Shun-de.Classificationof engineering rock based on support vector machine[J].Rockand Soil Mechanics,2002,23(6):698-701.
[6]肖云华,王清,陈剑平,等.基于粗糙集和支持向量机的融合算法在岩体质量评价中的应用[J].煤田地质与勘探,2008,36(6):49-53.XIAO Yun-hua,WANG Qing,CHEN Jian-ping,et al.Application of data fusion in evaluation of engineering quality ofrock mass based on rough sets and support vector machine[J].Coal Geology&Exploration,2008,36(6):49-53.
[7]文畅平.基于属性数学理论的岩体质量分级方法[J].水力发电学报,2008,27(3):75-80.WEN Chang-ping.Classification of rock-mass stability based onattributive mathematical theory[J].Journal of HydroelectricEngineering,2008,27(3):75-80.
[8]宫凤强,李夕兵.距离判别分析法在岩体质量等级分类中的应用[J].岩石力学与工程学报,2007,26(1):190-193.GONG Feng-qiang,LI Xi-bing.Application of distancediscriminant analysis method to classification of engineeringquality of rock masses[J].Chinese Journal of Rock Mechanicsand Engineering,2007,26(1):190-193.
[9]肖云华,王清,陈剑平.基于优化技术的权重计算方法在岩体质量评价中的应用[J].岩土力学,2009,30(9):2686-2690.XIAO Yun-hua,WANG Qing,CHEN Jian-ping.Application ofmethod for weight calculation based on optimization techniqueto evaluate rock mass quality[J].Rock and Soil Mechanics,2009,30(9):2686-2690.
[10]王威,田杰,马东辉,等.基于分形维数权重的泥石流危险度评价[J].山地学报,2011,29(6):747-752.WANG Wei,TIAN Jie,MA Dong-hui,et al.Evaluation ofdangerous degree of debris flow based on fractal dimensionweight[J].Journal of Mountain Science,2011,29(6):747-752.
[11]田杰,王威,郭小东,等.基于分形插值模型的岩爆预测研究[J].北京工业大学学报,2012,38(4):481-487.TIAN Jie,WANG Wei,GUO Xiao-dong,et al.Prediction ofrock burst based on the fractal interpolation model[J].Journal ofBeijing University of Technology,2012,38(4):481-487.
[12]王威,田杰,王志涛,等.城市综合承灾能力评价的分形模型[J].中国安全科学学报,2011,21(5):171-176.WANG Wei,TIAN Jie,WANG Zhi-tao,et al.Fractal model forevaluating urban comprehensive disaster-carrying capability[J].China Safety Science Journal,2011,21(5):171-176.
[13]王威,苏经宇,马东辉,等.饱和砂土地震液化判别的分形插值模型[J].世界地震工程,2012,28(1):118-124.WANG Wei,SU Jing-yu,MA Dong-hui,et al.Fractalinterpolation model of seismic liquefaction discrimination ofsaturated sandy soil[J].World Earthquake Engineering,2012,28(1):118-124.
[14]GB 50218—94,工程岩体分级标准[S].GB 50218—94,Classification Criterion of EngineeringRocks[S].
[15]GD 50287—99,水利水电工程地质勘察规范[S].GD 50287—99,Code for Water Resources and HydropowerEngineering Geological Investigation[S].
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