基于博弈赋权和综合灰色关联的围岩支护评价

为研究隧道围岩初期支护参数设置问题，提出基于博弈组合赋权和综合灰色关联分析的支护参数优选方法。基于正交设计方法开展数值试验，并通过博弈论组合赋权确定评价指标的主客观组合权值。此后，在灰色关联分析中引入TOPSIS（逼近理想解排序法，technique for order preference by similarity to an ideal solution）思想，形成综合灰色关联度的概念，根据综合灰色关联度对评价对象排序和确定支护优选参数，并将其成功运用到青岛地铁工程。结果表明：获得了围岩支护参数各水平的排序，锚杆直径18 mm，长度2.0 m，间排距1.2 m，混凝土厚度220 mm为优选参数，工程应用的各项评价指标均优于原支护，围岩稳定性获得明显提升，表明了所提方法的可靠性和工程实用性，对类似隧道工程提供参考和借鉴。

Evaluation of Surrounding Rock Support Based on Game Weighting and Comprehensive Gray Correlation

The method based on the combination of game weighting and comprehensive grey relational analysis is proposed to study the setting of the initial support parameters of the surrounding rock of the tunnel. The orthogonal design method was applied to carry out numerical experiments, and the subjective and objective combination weights of the evaluation indicators were determined through combination weighting in game theory. After that, the TOPSIS (technique for order preference by similarity to an ideal solution) idea was introduced into the grey relational analysis to form the concept of comprehensive grey relational degree. According to the comprehensive gray correlation degree, the evaluation objects were sorted and the support optimization parameters were determined, and they were successfully applied to the Qingdao subway project. The results show that the ranking of all levels of surrounding rock support parameters is obtained. The optimal parameters are bolt diameter of 18 mm, length of 2.0 m, row spacing of 1.2 m, concrete thickness of 220 mm. The various evaluation indicators applied in the project are better than the original support, and the stability of the surrounding rock has been significantly improved. It shows the reliability and engineering practicability of the proposed method, it provides reference for similar tunnel projects.