摘要
研究目的:分析深埋隧道的塌方机制并推导塌方体形状曲线的解析表达式。创新要点:基于霍克-布朗准则,采用泛函突变理论推导得到了深埋隧道塌方体形状曲线的解析表达式,并据此分析了围岩参数变化对塌方体形状的影响规律。研究方法:通过理论分析建立深埋圆形隧道的解析模型(图1),采用泛函突变理论推导基于霍克-布朗准则的隧道塌方体形状曲线解析表达式,并研究围岩参数变化对塌方体形状的影响规律(图3和4,表2)。通过与自然拱理论和模型试验结果的对比(图5–7)验证本文解析解的正确性。重要结论:采用泛函突变理论推导了基于霍克-布朗准则的深埋隧道塌方体形状曲线解析表达式。该解析表达式简洁直观,不仅可以预测无支护条件下隧道的塌落体尺寸,还可以估算塌落围岩作用于衬砌上的荷载。
A reliable prediction of the characteristics of roof collapse in deep tunnels is still one of the most important and challenging tasks in tunnel engineering. To investigate the collapse mechanisms and possible shapes of the collapsing blocks in deep tunnels, an analytical solution of shape curves for collapsing blocks is derived based on the nonlinear Hoek-Brown failure criterion by using the functional catastrophe theory. The obtained formulas are extremely simple. Furthermore, a judging criterion is proposed to distinguish whether the roof collapses of deep tunnels will occur or not. The effects of rock mass parameters used in the proposed method on the collapsing block shapes of deep tunnels are also discussed. The proposed analytical solution is verified by both the empirical method and the model test.
基金
supported by the National Natural Science Foundation of China(Nos.51008015 and 51378002)
the Fundamental Research Funds for the Central Universities(No.2012JBZ013)
the Program for New Century Excellent Talents in University(No.NCET-12-0770),China
关键词
深埋隧道
隧道塌方
泛函突变理论
霍克-布朗准则
Deep tunnel
Tunnel roof collapse
Functional catastrophe theory
Hoek-Brown failure criterion
