复合地层条件下深埋隧洞围岩稳定性研究

    Study on stability of surrounding rock in deep-buried tunnel under layered strata

    • 摘要: 均质地层条件下围岩的失稳机制已有大量研究,而软硬地层组合关系对围岩稳定性的作用机制尚不明确,为弥补现有研究的不足,基于非线性Mohr-Coulomb破坏准则和上限定理,构建了复合地层条件下深埋隧洞围岩的塌落机制,利用等效转换原则与Hoek-Brown破坏准则条件下围岩塌落的上限解进行对比,验证模型的有效性。设计上硬下软、上软下硬以及均质地层3种工况,研究围岩塌落机制的响应规律,并基于支护力与潜在塌落体重力之差构建可靠度功能函数,考虑到功能函数的复杂性,构建响应面函数逼近真实的功能函数,结合一次二阶矩法求取可靠度指标,在此基础上,分析围岩失效概率的演化机制,并根据可靠度设计的基本原理,研究了最小设计支护力对不同参数的响应机制,结果表明:软硬地层的空间组合关系直接决定了围岩塌落范围的演化趋势;不同参数对围岩塌落机制及失效概率的作用效果不同,在所有复合地层组合工况中,上硬下软型地层围岩稳定性较差;最小设计支护力与隧洞半径呈正相关,而与隧洞在下伏地层的埋深呈负相关关系。研究成果可为复合地层条件下围岩的支护提供理论依据。

       

      Abstract: Extensive researches were conducted on the instability mechanisms of surrounding rock in homogeneous strata, however, the effect of soft and hard stratum combinations on the stability remains unclear, to remedy this deficiency, based on nonlinear Mohr-Coulomb failure criterion and upper bound theorem, the collapse mechanism in deep buried tunnel is established with consideration of composite strata, according to equivalent conversion principle between Hoek-Brown and nonlinear Mohr-Coulomb failure criterion, the upper bound solutions are compared with those of existing researches, and the model is proved to be efficient. Three cases including strong rock in upper layer and weak layer in lower layer and vice versa and uniform layer are designed, changes rules of collapsing mechanism are studied, then, reliability function is derived according to the difference between support force and falling block weight, response surface function is established to replace real performance function due to its complication, and reliability index can be calculated by first-order reliability method, subsequently, the evolution rules of failure probability is researched, eventually, according to the principle of reliability-based design, response mechanism of minimum designed support pressure to different parameters is investigated. The results reveal that spatial combination relationship between soft and hard strata directly determines the evolution trend of the instability range of surrounding rock. Different parameters possess varying effects on collapse mechanism and failure probability. In all cases of strong and weak layer combination, strong rock in upper layer and weak rock in lower layer tends to be more unstable. Eventually, the minimum designed support pressure presents a positive correlation with tunnel radius, while a negative relationship with tunnel buried depth in lower layer. The results can provide a theoretical basis for support of surrounding rock in composite strata.

       

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