基于博弈-可拓理论的隧道围岩稳定性评价
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摘要
针对隧道围岩稳定性评价的模糊性和主观影响问题,建立基于博弈-可拓理论的隧道围岩稳定性评价模型。该模型采用岩石单轴抗压强度、岩体质量指标、完整性系数、体积节理数、声波纵波波速值、地下水渗水量作为隧道围岩稳定性评价指标,运用关联函数法、熵权法和改进层次分析法单独计算各个指标的权系数,利用博弈论组合赋权确定所得3个权系数的最优组合权系数,以此计算出待评隧道围岩关于各稳定性等级的加权关联度,根据计算结果判定待评隧道围岩稳定性等级。实例计算表明:运用博弈-可拓理论评价隧道围岩稳定性等级,综合了主客观因素,使评价结果更为合理可靠,为隧道风险控制与安全管理提供了新的依据。
In view of the problems of fuzziness and subjective influence in the stability evaluation of tunnel surrounding rock,a model on the stability evaluation of tunnel surrounding rock based on the game-extension theory was established. The uniaxial compressive strength of rock,rock mass quality index,integrity coefficient,volume joint number,acoustic longitudinal wave velocity and groundwater seepage volume were taken as the evaluation indexes for the stability of tunnel surrounding rock,then the weight coefficient of each evaluation index was calculated respectively by using the correlation function method,the entropy weight method and the improved analytic hierarchy process method,and the optimal combined weight coefficient of three weight coefficients was determined by using the combination weighting of game theory. The weighted correlation degree of tunnel surrounding rock with respect to each stability grade was calculated,and the stability grade of tunnel surrounding rock was judged according to the calculation results. The example calculation showed that the evaluation on stability grade of tunnel surrounding rock by using the game-extension theory integrated the subjective and objective factors to make the evaluation results more reasonable and reliable,which provides a new basis for the risk control and safety management of tunnel.
In view of the problems of fuzziness and subjective influence in the stability evaluation of tunnel surrounding rock,a model on the stability evaluation of tunnel surrounding rock based on the game-extension theory was established. The uniaxial compressive strength of rock,rock mass quality index,integrity coefficient,volume joint number,acoustic longitudinal wave velocity and groundwater seepage volume were taken as the evaluation indexes for the stability of tunnel surrounding rock,then the weight coefficient of each evaluation index was calculated respectively by using the correlation function method,the entropy weight method and the improved analytic hierarchy process method,and the optimal combined weight coefficient of three weight coefficients was determined by using the combination weighting of game theory. The weighted correlation degree of tunnel surrounding rock with respect to each stability grade was calculated,and the stability grade of tunnel surrounding rock was judged according to the calculation results. The example calculation showed that the evaluation on stability grade of tunnel surrounding rock by using the game-extension theory integrated the subjective and objective factors to make the evaluation results more reasonable and reliable,which provides a new basis for the risk control and safety management of tunnel.
引文
[1]王平.隧道工程[M].北京:科学出版社,2016.
[2]冯夏庭,林韵梅.岩石力学与工程专家系统[M].沈阳:辽宁科学技术出版社,1992.
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[9]蔡文.可拓论及其应用[J].科学通报,1999(7):673-682.CAI Wen. Extension theory and its application[J]. Chinese Science Bulletin,1999(7):673-682.
[10]王锦国,周志芳,袁永生.可拓评价方法在环境质量综合评价中的应用[J].河海大学学报(自然科学版),2002(1):15-18.WANG Jinguo,ZHOU Zhifang,YUAN Yongsheng. Application of extension method to comprehensive assessment of environmental quality[J]. Journal of Hehai University(Natural Science),2002(1):15-18.
[11]郝杰.可拓物元理论在地下洞室围岩质量评价中的应用[J].人民长江,2016,47(5):45-47.HAO Jie. Application of extension assessment methodin quality evaluation of surrounding rock of underground cavities[J]. Yangtze River,2016,47(5):45-47.
[12]黄仁东,张小军.基于熵权物元可拓模型的隧道瓦斯等级评价[J].中国安全科学学报,2012,22(4):77-82.HUANG Rendong,ZHANG Xiaojun. Evaluation of tunnel gas level based on entropy-weight and matter-element model[J]. China Safety Science Journal,2012,22(4):77-82.
[13]马农乐,赵中极.基于层次分析法及其改进对确定权重系数的分析[J].水利科技与经济,2006(11):732-733,736.MA Nongle,ZHAO Zhongji. The analyses of calculating the proportion based on analytic hierarchy process and the improved AHP[J]. Water Conservancy Science and Technology and Economy,2006(11):732-733,736.
[14]王念秦,张帅,刘鹏.基于博弈论组合赋权法的泥石流灾害易发性评价云模型[J/OL].长江科学院院报:1-9[2018-09-26]. http://kns. cnki. net/kcms/detail/42. 1171. TV. 20180521. 1116.024. html.
[15]汪明武,朱其坤,赵奎元,等.基于有限区间联系云的围岩稳定性评价模型[J].岩土力学,2016,37(S1):140-144,165.WANG Mingwu,ZHU Qikun,ZHAO Kuiyuan,et al. A novel cloud model coupled with connection number based on finite intervals for evaluation of surrounding rock stability[J]. Rock and Soil Mechanics,2016,37(S1):140-144,165.
[16]中华人民共和国行业标准编写组.水利水电工程地质勘察规范:GB 50487—2008[S].北京:中国计划出版社,2008.
[2]冯夏庭,林韵梅.岩石力学与工程专家系统[M].沈阳:辽宁科学技术出版社,1992.
[3]中华人民共和国国家标准编写组.工程岩体分级标准:GB50218—2014[S].北京:中国计划出版社,2014.
[4]沙礼,隆威.弹性波速测井技术在岩土工程地质勘察中的分析与应用[J].四川建材,2009,35(3):175-176,178.SHA Li,LONG Wei. Analysis and application of elastic wave velocity logging in geotechnical engineering[J]. Sichuan Building Materials,2009,35(3):175-176,178.
[5]唐红宁. RMR围岩分级方法在隧道施工现场的应用[J].隧道建设,2008,28(6):666-671.TANG Hongning. Application of RMR method in tunnel construction[J]. TunnelConstruction,2008,28(6):666-671.
[6]李华,朱自强,李键. TSP203系统在岩体分级中的应用研究[J].工程地球物理学报,2005,2(6):449-453.LI Hua,ZHU Ziqiang,LI Jian. The application of TSP203 system to the rock mass classification[J]. Chinese Journal of Engineering Geophysics,2005,2(6):449-453.
[7]蔡文,杨春燕,何斌.可拓学基础理论研究的新进展[J].中国工程科学,2003(2):80-87.CAI Wen,YANG Chunyan,HE Bin. New development of the basic theory of extenics[J]. Engineering Science,2003(2):80-87.
[8]宋盛渊,王清,孙涛,等.天津滨海新区地基土工程地质分区的可拓学评价[J].东北大学学报(自然科学版),2014,35(10):1502-1506.SONG Shengyuan,WANG Qing,SUN Tao,et al. Extenics evaluation of engineering geological zoning of foundation soil in Tianjin Binhai new area[J]. Journal of Northeastern University(Natural Science),2014,35(10):1502-1506.
[9]蔡文.可拓论及其应用[J].科学通报,1999(7):673-682.CAI Wen. Extension theory and its application[J]. Chinese Science Bulletin,1999(7):673-682.
[10]王锦国,周志芳,袁永生.可拓评价方法在环境质量综合评价中的应用[J].河海大学学报(自然科学版),2002(1):15-18.WANG Jinguo,ZHOU Zhifang,YUAN Yongsheng. Application of extension method to comprehensive assessment of environmental quality[J]. Journal of Hehai University(Natural Science),2002(1):15-18.
[11]郝杰.可拓物元理论在地下洞室围岩质量评价中的应用[J].人民长江,2016,47(5):45-47.HAO Jie. Application of extension assessment methodin quality evaluation of surrounding rock of underground cavities[J]. Yangtze River,2016,47(5):45-47.
[12]黄仁东,张小军.基于熵权物元可拓模型的隧道瓦斯等级评价[J].中国安全科学学报,2012,22(4):77-82.HUANG Rendong,ZHANG Xiaojun. Evaluation of tunnel gas level based on entropy-weight and matter-element model[J]. China Safety Science Journal,2012,22(4):77-82.
[13]马农乐,赵中极.基于层次分析法及其改进对确定权重系数的分析[J].水利科技与经济,2006(11):732-733,736.MA Nongle,ZHAO Zhongji. The analyses of calculating the proportion based on analytic hierarchy process and the improved AHP[J]. Water Conservancy Science and Technology and Economy,2006(11):732-733,736.
[14]王念秦,张帅,刘鹏.基于博弈论组合赋权法的泥石流灾害易发性评价云模型[J/OL].长江科学院院报:1-9[2018-09-26]. http://kns. cnki. net/kcms/detail/42. 1171. TV. 20180521. 1116.024. html.
[15]汪明武,朱其坤,赵奎元,等.基于有限区间联系云的围岩稳定性评价模型[J].岩土力学,2016,37(S1):140-144,165.WANG Mingwu,ZHU Qikun,ZHAO Kuiyuan,et al. A novel cloud model coupled with connection number based on finite intervals for evaluation of surrounding rock stability[J]. Rock and Soil Mechanics,2016,37(S1):140-144,165.
[16]中华人民共和国行业标准编写组.水利水电工程地质勘察规范:GB 50487—2008[S].北京:中国计划出版社,2008.
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