岩石隧道支护设计博弈比选

在隧道工程中,将隧道支护结构与围岩的关系看作博弈的双方。根据博弈的三要素将隧道工程支护问题转化为一个工程博弈问题,从工程问题中提取出博弈参与方,策略空间以及建立收益函数。将隧道的支护方案作为博弈的“人为方”,围岩的等级或者参数组合作为博弈的“自然方”。根据现有的对隧道支护结构受力和围岩变形研究文献,首先从安全性因素的角度建立隧道博弈问题的收益因子函数表达式,在建立的收益因子函数基础上考虑经济性影响因子的作用,得到总的收益函数。根据收益函数,结合数值计算软件评定各支护方案的收益,根据收益对支护方案进行比选。采用博弈比选方法能综合考虑支护方案的经济性与安全性,对隧道支护方案进行定量化的比选,为隧道支护方案提供有参考价值的比选依据和方法。

Game Theory in Design of Rock Tunnel Support

In the tunnel construction, the relationship between the surrounding rock and the support structure can be seen as two sides of a game. According to the three elements of the game theory, the tunnel support problem can be transformed into a project game, i.e. the game participants and strategy space can be derived from the engineering problems, then to establish a revenue function. The tunnel support scheme of the game can be treated as a “human party”, and the level of surrounding rock or parameter combination as a “natural party”. According to the research literature on stress and deformation of tunnel surrounding rock support structure, first of all, the tunnel game pay-off factor function expression can be set up considering the safety factor, and then the total revenue function will be attained on the basis of the established pay-off factor function with considering the economy influence factor effect. Using game comparison to consider the economy and safety in support design, then to compare and select tunnel support scheme quantitatively, thus to provide the practical and valuable selection basis and methods for tunneling support schemes.