WANG Ming-wu, WEI Dong-fang, ZHOU Xin-wei, WANG Peng-cheng. Connectional Matrix-Based Combination Evaluation Method for Surrounding Rock Stability[J]. Applied Mathematics and Mechanics, 2015, 36(3): 294-302. doi: 10.3879/j.issn.1000-0887.2015.03.007
 Citation: WANG Ming-wu, WEI Dong-fang, ZHOU Xin-wei, WANG Peng-cheng. Connectional Matrix-Based Combination Evaluation Method for Surrounding Rock Stability[J]. Applied Mathematics and Mechanics, 2015, 36(3): 294-302.

Connectional Matrix-Based Combination Evaluation Method for Surrounding Rock Stability

doi: 10.3879/j.issn.1000-0887.2015.03.007
Funds:  The National Natural Science Foundation of China(41172274)
• Rev Recd Date: 2014-09-04
• Publish Date: 2015-03-15
• Evaluation of surrounding rock stability is a complicated system problem involving various uncertain factors. To overcome the drawbacks of conventional evaluation methods based on single-type information, a new combination evaluation method based on set pair analysis was proposed. This method made full use of available information sources from the different conventional methods while avoiding the most erroneous evaluation. First, the problem was treated with the single-type evaluation methods. Then, the set pair consisting of double evaluation results was analyzed on the identical-discrepancy-contrary principle to establish a connectional matrix. And the weights of the realted single-type evaluation methods in the comprehensive model were determined respectively through the connectional matrix. Finally the surrounding rock stability level was evaluated with the linear combination method. The results of the application case show that the proposed model is effective and feasible in improving the prediction accuracy through coupling the advantages of the related conventional evaluation methods. This method makes a good reference for other similar evaluation problems.
•  [1] 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 surrounding rock evaluation of underground engineering based on extension method[J].Chinese Journal of Rock Mechanics and Engineering,2004,23(9): 1450-1453.(in Chinese)) [2] 李健, 汪明武, 徐鹏, 徐鹏冲. 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, WANG Ming-wu, XU Peng, XU Peng-chong. The cloud model for classification of stability of surrounding rock[J].Chinese Journal of Geotechnical Engineering,2014,36(1): 83-87.(in Chinese)) [3] 中华人民共和国建设部, 国家技术监督局. 工程岩体分级标准(GB50218-94)[S]. 北京: 中国计划出版社, 1995.(State Bureau of Technical Supervision, The Ministry of Construction of the People’s Republic of China. Standard for Engineering Classification of Rock Masses(GB50218-94)[S]. Beijing: China Planning Press, 1995.(in Chinese)) [4] 徐飞, 王珂, 刘造保. 围岩稳定性评价的投影寻踪权重-属性区间识别模型[J]. 岩土力学, 2010,31(8): 2587-2592.(XU Fei, WANG Ke, LIU Zao-bao. Attribute interval recognition model based on projection pursuit weight for evaluation of stability of surrounding rock[J].Rock and Soil Mechanics,2010,31(8): 2587-2592.(in Chinese)) [5] 张继宝, 汪明武, 谢慧敏. 基于粗糙集理论的围岩稳定性模糊综合评价[J]. 安徽建筑工业学院学报(自然科学版), 2008,16(2): 85-88.(ZHANG Ji-bao, WANG Ming-wu, XIE Hui-min. A fuzzy assessment method of surrounding rock stability based on rough set theory[J].Journal of Anhui Institute of Architecture & Industry(Natural Science),2008,16(2): 85-88.(in Chinese)) [6] 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)) [7] 陈守煜, 韩晓军. 围岩稳定性评价的模糊可变集合工程方法[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)) [8] 王硕, 杨善林, 马溪骏. 基于WNN-RAGA的非线性组合预测方法[J]. 系统工程理论与实践, 2008,28(12): 160-165.(WANG Shuo, YANG Shan-lin, MA Xi-jun. Nonlinear combination forecasting approach based on WNN-RAGA[J].Systems Engineering—Theory & Practice,2008,28(12): 160-165.(in Chinese)) [9] 刘志成, 乔慧, 何佳洲. 基于加权证据距离的高度冲突证据组合方法[J]. 计算机工程与应用, 2014,50(3): 103-107.(LIU Zhi-cheng, QIAO Hui, HE Jia-zhou. Combination approach of highly conflict evidence based on weighted distance of evidence[J].Computer Engineering and Applications,2014,50(3): 103-107.(in Chinese)) [10] 陈国宏, 李美娟. 基于方法集的综合评价方法集化研究[J]. 中国管理科学, 2004,12(1): 101-105.(CHEN Guo-hong, LI Mei-juan. The research on the comprehensive evaluation method integration based on method set[J].Chinese Journal of Management Science,2004,12(1): 101-105.(in Chinese)) [11] 陈涛. 基于AGA-SVM的非线性组合预测模型[J]. 数学的实践与认识, 2010,40(4): 57-62.(CHEN Tao. Nonlinear combined forecasting model based on AGA-SVM[J].Mathematics in Practice and Theory,2010,40(4): 57-62.(in Chinese)) [12] 曹文贵, 翟友成, 王江营. 基于漂移度的隧道围岩质量分级组合评价方法[J]. 岩土工程学报, 2012,34(6): 978-984.(CAO Wen-gui, ZHAI You-cheng, WANG Jiang-ying. Combination evaluation method for classification of surrounding rock quality of tunnel based on drifting degree[J].Chinese Journal of Geotechnical Engineering,2012,34(6): 978-984.(in Chinese)) [13] 陈鹏宇, 余宏明, 谢凯, 李科. 基于支持度的隧道围岩质量分级组合评价方法[J]. 岩土工程学报, 2013,35(12): 2233-2237.(CHEN Peng-yu, YU Hong-ming, XIE Kai, LI Ke. Combination evaluation method for classification of surrounding rock quality of tunnels based on support degree[J].Chinese Journal of Geotechnical Engineering,2013,35(12): 2233-2237.(in Chinese)) [14] 赵克勤. 集对分析及其初步应用[M]. 杭州: 浙江科学技术出版社, 2000.(ZHAO Ke-qin.Set Pair Analysis and Its Application[M]. Hangzhou: Zhejiang Science and Technology Press, 2000.(in Chinese)) [15] 汪明武, 金菊良, 周玉良. 集对分析耦合方法与应用[M]. 北京: 科学出版社, 2013.(WANG Ming-wu, JIN Ju-liang, ZHOU Yu-liang.Set Pair Analysis Based Coupling Methods and Applications [M]. Beijing: Science Press, 2013.(in Chinese)) [16] WANG Ming-wu, XU Peng, LI Jian, ZHAO Kui-yuan. A novel set pair analysis method based on variable weights for liquefaction evaluation[J].Natural Hazards,2014,70(2): 1527-1534. [17] 汪明武, 李丽, 金菊良. 岩爆预测的改进集对分析模型[J]. 岩土力学, 2008,29(增刊): 511-514, 518.(WANG Ming-wu, LI Li, JIN Ju-liang. An improved set pair analysis model for the prediction of rockburst[J].Rock and Soil Mechanics,2008,29(S): 511-514, 518.(in Chinese)) [18] Berger J O.Statistical Decision Theory and Bayesian Analysis [M]. 2nd ed. New York: Springer-Verlag, 1998. [19] 付正飞, 张世飙, 郭刚, 陈勇, 王元汉. 概率论方法在云岭隧道围岩分类中的应用研究[J]. 岩石力学与工程学报, 2006,25(增刊1): 3063-3068.(FU Zheng-fei, ZHANG Shi-biao, GUO Gang, CHEN Yong, WANG Yuan-han. Study on the application of probability method to surrounding rock classification in Yunling tunnel[J].Chinese Journal of Rock Mechanics and Engineering,2006,25(S1): 3063-3068.(in Chinese))

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