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基于博弈-可拓理论的隧道围岩稳定性评价
引用本文:钟里密,谢全敏,罗忆.基于博弈-可拓理论的隧道围岩稳定性评价[J].中国安全生产科学技术,2019,15(1):56-61.
作者姓名:钟里密  谢全敏  罗忆
作者单位:(武汉理工大学 土木工程与建筑学院,湖北 武汉 430070)
基金项目:基金项目: 国家自然科学基金项目(51779197);西藏自治区重点科研项目(2016XZ01G31)
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。

关 键 词:隧道围岩  稳定性评价  可拓理论  博弈论  最优组合权系数

Stability evaluation of tunnel surrounding rock based on game extension theory
ZHONG Limi,XIE Quanmin,LUO Yi.Stability evaluation of tunnel surrounding rock based on game extension theory[J].Journal of Safety Science and Technology,2019,15(1):56-61.
Authors:ZHONG Limi  XIE Quanmin  LUO Yi
Affiliation:(School of Civil Engineering and Architecture, Wuhan University of Technology, Wuhan Hubei 430070, China)
Abstract: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.
Keywords:tunnel surrounding rock  stability evaluation  extension theory  game theory  optimal combined weight coefficient
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