基于联系云的围岩稳定性可拓评价模型
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摘要
针对围岩稳定性评价具有模糊随机性及评价指标的区间离散分布特点,构建了基于联系云的围岩稳定性可拓评价模型,该模型首先依据评价指标的分类标准确定联系云数字特征,并通过联系云表达物元和标准可拓域,以模拟分析待评样本与评价标准间的关系,进而由云贴近度构建可拓综合评判矩阵,结合主、客观组合权重评定围岩稳定性类别,实现统一定量表征待评样本与等级间的动态联系,并给出待评样本所属等级的可靠度。实例应用及与其他方法对比的结果表明,该模型应用于围岩稳定性评价是有效可行的,为多重不相容指标的随机模糊性不确定分析提供了可能,克服了正态云模型不能有效模拟区间分布数据的缺陷。
In view of the problem that fuzziness, randomness and the interval and dispersion characteristics of the evaluation indexes exist in the process of evaluation of stability of surrounding rock, a novel evaluation model coupled with the extension theory and connection cloud model is described here. The evaluation process of this model is as follows. Firstly, the digital features of the connection cloud model are generated according to the classification standards. The relationship between the samples and the evaluation standards is simulated by the matter-element expression and standard extension field based on the connection cloud model. Then, the generation algorithm of connection clouds is discussed to analyze the certainty degrees of measured indexes to each evaluation standard, and they are used to set up the comprehensive evaluation matrix. Finally, the integrated evaluation vectors specified according to the measured data and the combination weights composed of subjective and objective weights are used to determinate the stability grades of surrounding rock and the dynamic relationship between the samples and each grade, and the credible degree of the evaluation results is further given. Case studies and comparison with other methods show that the proposed model is feasible and effective. It provides the possibility of uncertainty analysis for multiple incompatible indexes with fuzziness and randomness, and it can overcome the defects that the normal cloud model cannot effectively simulate the interval distribution data.
In view of the problem that fuzziness, randomness and the interval and dispersion characteristics of the evaluation indexes exist in the process of evaluation of stability of surrounding rock, a novel evaluation model coupled with the extension theory and connection cloud model is described here. The evaluation process of this model is as follows. Firstly, the digital features of the connection cloud model are generated according to the classification standards. The relationship between the samples and the evaluation standards is simulated by the matter-element expression and standard extension field based on the connection cloud model. Then, the generation algorithm of connection clouds is discussed to analyze the certainty degrees of measured indexes to each evaluation standard, and they are used to set up the comprehensive evaluation matrix. Finally, the integrated evaluation vectors specified according to the measured data and the combination weights composed of subjective and objective weights are used to determinate the stability grades of surrounding rock and the dynamic relationship between the samples and each grade, and the credible degree of the evaluation results is further given. Case studies and comparison with other methods show that the proposed model is feasible and effective. It provides the possibility of uncertainty analysis for multiple incompatible indexes with fuzziness and randomness, and it can overcome the defects that the normal cloud model cannot effectively simulate the interval distribution data.
引文
[1]陈守煜,韩晓军.围岩稳定性评价的模糊可变集工程方法[J].岩石力学与工程学报,2006,25(9):1857-1861.(CHEN Shou-yu,HAN Xiao-jun.Engineering method of variable fuzzy set for assessment of surrounding rock stability[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(9):1857-1861.(in Chinese))
[2]汪明武,李丽,金菊良.围岩稳定性集对分析-可变模糊集综合评价模型[J].岩土工程学报,2008,30(6):941-944.(WANG Ming-wu,LI Li,JIN Ju-liang.Set pair analysis-variable fuzzy set model for evaluation of stability of surrounding rock[J].Chinese Journal of Geotechnical Engineering,2008,30(6):941-944.(in Chinese))
[3]张鹏,陈剑平,邱道宏.基于粗糙集的隧道围岩质量可拓学评价[J].岩土力学,2009,30(1):246-250.(ZHANGPeng,CHEN Jian-ping,QIU Dao-hong.Evaluation of tunnel surrounding rock quality with extenics based on rough set[J].Rock and Soil Mechanics,2009,30(1):246-250.(in Chinese))
[4]连建发,慎乃齐,张杰坤.基于可拓方法的地下工程围岩评价研究[J].岩石力学与工程学报,2004,23(9):1450-1453.(LIAN Jian-fa,SHEN Nai-qi,ZHANG Jie-kun.Research on surrouding rock evaluation of under ground engineering based on extension method[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(9):1450-1453.(in Chinese))
[5]梁桂兰,徐卫亚,谈小龙.基于熵权的可拓理论在岩体质量评价中的应用[J].岩土力学,2010,31(2):535-540.(LIANG Gui-lan,XU Wei-ya,TAN Xiao-long.Application of extension theory based on entropy weight to rock quality evaluation[J].Rock and Soil Mechanics,2010,31(2):535-540.(in Chinese))
[6]李健,汪明武,徐鹏,等.基于云模型的围岩稳定性分类[J].岩土工程学报,2014,36(1):83-87.(LI Jian,WANGMing-wu,XU Peng,et al.Classification of stability of surrounding rock using cloud model[J].Chinese Journal of Geotechnical Engineering,2014,36(1):83-87.(in Chinese))
[7]周志勇,韩章程.基于物元分析与云模型的地下工程围岩稳定性评价[J].工程设计学报,2017,24(1):57-63.(ZHOU Zhi-yong,HAN Zhang-cheng.Evaluation of underground engineering surrounding rock stability based on matter-element analysis and cloud model[J].Chinese Journal of Engineering Design,2017,24(1):57-63.(in Chinese)))
[8]李德毅,孟海军,史雪梅.隶属云和隶属云发生器[J].计算机研究和发展,1995,32(6):16-21.(LI De-yi,MENGHai-jun,SHI Xue-mei.Membership clouds and membership cloud generations[J].Journal of Computer Research and Development,1995,32(6):16-21.(in Chinese))
[9]LI D Y,SHI X M,WARD P.Soft inference mechanism based on cloud models[C]//proceedings of the 1st International Workshop on Logic Programming and Soft Computing.Bonn:Reach Studies Press,1997:38-63.
[10]汪明武,金菊良.联系数理论与应用[M].北京:科学出版社,2017.(WANG Ming-wu,JIN Ju-liang.The Theory and Applications of Connection Numbers[M].Beijing:Science Press,2017.(in Chinese))
[11]蔡文,杨春燕.可拓学的基础理论与方法体系[J].科学通报,2013,58(13):1190-1199.(CAI Wen,YANGChun-yan.The basic theory and method system of extenics[J].Chinese Science Bulletin,2013,58(13):1190-1199.(in Chinese))
[12]魏博文,黄海鹏,徐镇凯.基于云模型和组合赋权的岩体质量二维评价模型[J].岩石力学与工程学报,2016,35(增刊1):3092-3099.(WEI Bo-wen,HUANG Hai-peng,XUZhen-kai.Two-dimensional evaluation model of rock mass based on combination weighting and cloud model[J].Chinese Journal of Rock Mechanics and Engineering,2016,35(S1):3092-3099.(in Chinese))
[13]常利营,卢建移,段波,等.基于Hopfield网络的地下工程围岩稳定性分类[J].岩土工程学报,2011,33(增刊1):194-197.(CHANG Li-ying,LU Jian-yi,DUAN Bo,et al.Stability classification of adjoining rock of underground engineering based on Hopfield network[J].Chinese Journal of Rock Mechanics and Engineering,2011,33(S1):194-197.(in Chinese))
[14]GB50218-2014工程岩体分级标准[S].2014.(GB50218-2014 Classification criterion of engineering rocks[S].2014.(in Chinese))
[2]汪明武,李丽,金菊良.围岩稳定性集对分析-可变模糊集综合评价模型[J].岩土工程学报,2008,30(6):941-944.(WANG Ming-wu,LI Li,JIN Ju-liang.Set pair analysis-variable fuzzy set model for evaluation of stability of surrounding rock[J].Chinese Journal of Geotechnical Engineering,2008,30(6):941-944.(in Chinese))
[3]张鹏,陈剑平,邱道宏.基于粗糙集的隧道围岩质量可拓学评价[J].岩土力学,2009,30(1):246-250.(ZHANGPeng,CHEN Jian-ping,QIU Dao-hong.Evaluation of tunnel surrounding rock quality with extenics based on rough set[J].Rock and Soil Mechanics,2009,30(1):246-250.(in Chinese))
[4]连建发,慎乃齐,张杰坤.基于可拓方法的地下工程围岩评价研究[J].岩石力学与工程学报,2004,23(9):1450-1453.(LIAN Jian-fa,SHEN Nai-qi,ZHANG Jie-kun.Research on surrouding rock evaluation of under ground engineering based on extension method[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(9):1450-1453.(in Chinese))
[5]梁桂兰,徐卫亚,谈小龙.基于熵权的可拓理论在岩体质量评价中的应用[J].岩土力学,2010,31(2):535-540.(LIANG Gui-lan,XU Wei-ya,TAN Xiao-long.Application of extension theory based on entropy weight to rock quality evaluation[J].Rock and Soil Mechanics,2010,31(2):535-540.(in Chinese))
[6]李健,汪明武,徐鹏,等.基于云模型的围岩稳定性分类[J].岩土工程学报,2014,36(1):83-87.(LI Jian,WANGMing-wu,XU Peng,et al.Classification of stability of surrounding rock using cloud model[J].Chinese Journal of Geotechnical Engineering,2014,36(1):83-87.(in Chinese))
[7]周志勇,韩章程.基于物元分析与云模型的地下工程围岩稳定性评价[J].工程设计学报,2017,24(1):57-63.(ZHOU Zhi-yong,HAN Zhang-cheng.Evaluation of underground engineering surrounding rock stability based on matter-element analysis and cloud model[J].Chinese Journal of Engineering Design,2017,24(1):57-63.(in Chinese)))
[8]李德毅,孟海军,史雪梅.隶属云和隶属云发生器[J].计算机研究和发展,1995,32(6):16-21.(LI De-yi,MENGHai-jun,SHI Xue-mei.Membership clouds and membership cloud generations[J].Journal of Computer Research and Development,1995,32(6):16-21.(in Chinese))
[9]LI D Y,SHI X M,WARD P.Soft inference mechanism based on cloud models[C]//proceedings of the 1st International Workshop on Logic Programming and Soft Computing.Bonn:Reach Studies Press,1997:38-63.
[10]汪明武,金菊良.联系数理论与应用[M].北京:科学出版社,2017.(WANG Ming-wu,JIN Ju-liang.The Theory and Applications of Connection Numbers[M].Beijing:Science Press,2017.(in Chinese))
[11]蔡文,杨春燕.可拓学的基础理论与方法体系[J].科学通报,2013,58(13):1190-1199.(CAI Wen,YANGChun-yan.The basic theory and method system of extenics[J].Chinese Science Bulletin,2013,58(13):1190-1199.(in Chinese))
[12]魏博文,黄海鹏,徐镇凯.基于云模型和组合赋权的岩体质量二维评价模型[J].岩石力学与工程学报,2016,35(增刊1):3092-3099.(WEI Bo-wen,HUANG Hai-peng,XUZhen-kai.Two-dimensional evaluation model of rock mass based on combination weighting and cloud model[J].Chinese Journal of Rock Mechanics and Engineering,2016,35(S1):3092-3099.(in Chinese))
[13]常利营,卢建移,段波,等.基于Hopfield网络的地下工程围岩稳定性分类[J].岩土工程学报,2011,33(增刊1):194-197.(CHANG Li-ying,LU Jian-yi,DUAN Bo,et al.Stability classification of adjoining rock of underground engineering based on Hopfield network[J].Chinese Journal of Rock Mechanics and Engineering,2011,33(S1):194-197.(in Chinese))
[14]GB50218-2014工程岩体分级标准[S].2014.(GB50218-2014 Classification criterion of engineering rocks[S].2014.(in Chinese))