摘要
围岩稳定性评价是隧道施工中需要解决的重要问题。针对隧道围岩稳定性评价的多指标性和不相容性,将博弈论与主客观赋权法相融合,结合云模型理论对可拓理论进行改进,建立隧道围岩稳定性评价的博弈论—可拓云模型。以某隧道3种围岩地段为例,选取岩体完整性、单轴抗压强度、结构面平均间距等6个因素为评价指标,利用物元理论构造物元,运用云模型确定各类别等级的正态云关联度,将博弈论用于赋权得到组合权重,将各类别等级的关联度与组合权重相结合,从而得到等级特征值,并通过等级概念云图确定隧道围岩稳定性等级,经与既有方法进行对比,验证模型的可靠性。将该模型进一步应用于京广铁路大瑶山隧道试验洞段中,结果表明:该模型评价结果与工程实际相符,考虑传统经典域中各指标的模糊性与随机性,避免隶属于单一等级的弊端,并计算出不同等级的概率,为围岩稳定性评价提供一种科学合理的参考方法。
The evaluation of surrounding rock stability is of great importance to the whole tunnelengineering process. In order to solve the problem that multi-indexes are needed and some areincompatible in the stability evaluation of tunnel surrounding rock, the game theory integrated withsubjective and objective weighting method theory is used in combination with cloud model to improve theextension theory and establish the game theory-extension cloud evaluation model. This evaluation model isapplied in three categories of surrounding rock of a tunnel excavation project. Six influential factors areselected as the evaluation indexes, including massiveness of rock mass, single axis compressive strength,average spacing of structural surface, structural surface state, underground water development level andground stress size. Matter-element theory is used to construct matter-element. The cloud model is appliedto determine the normal cloud association degree of the classification of tunnel surrounding rocks. Gametheory is introduced to integrate subjective and objective weighting so that the combination weight of eachindex can be obtained, and then the characteristic value of the classification is achieved. Classification oftunnel surrounding rock stability is obtained by the concept of cloud atlas of the grade of tunnelsurrounding rock stability. The results show that this evaluation method is more reliable than otherscompared with existing methods. The model is applied in the test section in Dayaoshan Tunnel of Beijing-Guangzhou Railway and the results showthat this model takes into account the fuzzinessand randomness of each index in the traditional classical domain, and avoids the deficiency that the evaluation result belongs only to a certainclassification, and calculates the probabilities of different grades. This model provides some scientific andefficient references for the stability evaluation of tunnel surrounding rock.
作者
王建宗
郑志学
李长明
苏超
徐翠云
WANG Jian-zong;ZHENG Zhi-xue;LI Chang-ming;SU Chao;XU Cui-yun(College of Resources and Safety Engineering,China University of Mining and Technology,Beijing 100083,China;College of Engineering,Peking University,Beijing 100871,China;Exploration and Development Research Institute of Petro China Huabei Oilfield Company,Renqiu 062552,China)
出处
《铁道标准设计》
北大核心
2018年第11期118-124,共7页
Railway Standard Design
关键词
隧道
围岩稳定性
评价
博弈论
可拓学
云模型
Tunnel
Stability of surrounding rock
Evaluation
Game theory
Extension theory
Cloud model
