探讨将极限平衡理论引入浅埋隧道围岩压力分布进行浅埋隧道围岩压力上限计算的可行性。针对偏压浅埋矩形单洞隧道情况,通过引入水平偏压荷载系数的方式,讨论浅埋偏压矩形单洞隧道围岩压力的上限分析方法,并对获得的隧道围岩压力目标函数采用非线性规划方法进行优化计算。结果表明:水平和倾斜地表条件下,本文方法计算结果与已有计算结果均接近,可以证明本文方法的有效性。地表倾斜角度、围岩抗剪强度参数、隧道埋深、围岩容重和围岩计算内摩擦角均对浅埋偏压矩形单洞隧道围岩压力和破坏机构存在显著影响;极限平衡状态下偏压浅埋隧道会出现显著的非对称性破坏,破坏范围整体向埋深较大一侧偏转,工程实际应用中偏压效应和正确计算参数选取对分析偏压浅埋隧道稳定性极为重要。
By introducing the limit equilibrium theory into the distribution model of surrounding rock pressure for unsymmetrical shallow rectangular tunnel, the viability of surrounding rock pressure calculated by upper bound theorem was discussed. Aiming at the shallow bias tunnel, the upper bound analysis method for surrounding rock pressure was studied by introducing the horizontal bias loading coefficient, and the objective function of surrounding rock pressure was optimized by nonlinear programming method. The comparing analysis results show that the solutions derived from this paper is close to the existing results, which proved the validity of the present method. Moreover, the surface inclined angle, shear strength parameters of surrounding rock, tunnel depth, bulk density of surrounding rock and the calculation friction angle all have significant influence on the surrounding rock pressure and failure mechanism of shallow bias tunnel. The unsymmetrical failure mechanism would appear under limit equilibrium state in shallow bias tunnel, and the damage range deflects to the deep embedded side. Therefore, the effect of the bias voltage and the selection of calculating parameter are important for stability analysis of shallow bias tunnel in practical engineering.