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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。
Research purposes: To analyze the collapse mechanism of deep tunnel and to derive the analytic expression of the shape of the collapse body. Innovative Points: Based on the Hawk-Brown criterion, analytical expressions of the shape curves of the landslides in deep tunnels are deduced using the theory of functional abrupt change. Based on this, the influence laws of the surrounding rock parameters on the shape of landslides are analyzed. Research methods: The analytical model of deep circular tunnel is established through theoretical analysis (Figure 1). The functional catastrophe theory is used to derive the analytic expression of the shape of the tunnel collapse body based on the Hawk-Brown criterion. Body shape of the law (Figure 3 and 4, Table 2). The correctness of the analytical solution in this paper is verified by comparison with the natural arch theory and the model test results (Figure 5-7). Important conclusion: The analytical expression of the shape of the collapse body in deep tunnel based on the Hawk-Brown criterion is deduced by using the theory of functional mutation. The analytical expression is concise and intuitive, which can not only predict the size of the slump of the tunnel under unsupported conditions, but also estimate the load acting on the lining of the slump rock mass.