隧道工程的可靠性分析方法与应用
发布时间：2018-12-10 09:22
【摘要】：隧道是岩土工程中的重要组成部分,由于隧道工程中各种地质参数存在不确定性,而传统的稳定性分析方法很难考虑不确定性,所以可靠性分析为隧道工程稳定性研究提供了一种有效的途径。本文将响应面法和数值模拟进行有机结合,考虑地质参数如:弹性模量、内摩擦角和粘聚力等的不确定性,利用响应面法建立隧道极限状态方程,并结合最优化方法计算隧道的可靠性指标与破坏概率,为隧道工程的设计、稳定性分析与安全施工提供了可靠的依据。主要研究内容如下:一、对可靠性分析方法进行简单介绍,结合隧道工程中不确定性因素对于隧道稳定性的影响,选择合理的可靠性分析方法进行分析计算。隧道工程中的极限状态方程通常是隐式形式,不易获得有关位移和应力具体形式的解析解,由此提出了应用数值模拟结合响应面法对隧道稳定性进行可靠性分析的方法。二、为了验证上述方法的合理性,选择在静水压力场中的无支护圆形隧洞,根据其围岩变形的解析式,利用最优化方法和响应面法分别求得其可靠性指标;隧道工程中的变形并不都能通过解析式获得,根据已知的地质参数及分布特性经过数值模拟可以得到相应的位移,结合响应面法拟合出极限状态方程,进而通过迭代计算求得其可靠性指标。通过对验证例子的分析,不同方法之间的相对误差在合理范围内。三、将上述方法应用到无支护、喷射混凝土支护、锚杆支护和锚杆加喷射混凝土支护措施下的东川隧道工程中,并完成相应的可靠性分析研究。
[Abstract]:Tunnel is an important part of geotechnical engineering. Because of the uncertainty of various geological parameters in tunnel engineering, the traditional stability analysis method is difficult to consider uncertainty. Therefore, reliability analysis provides an effective way to study the stability of tunnel engineering. In this paper, the response surface method is combined with numerical simulation to establish the limit state equation of tunnel by considering the uncertainty of geological parameters such as elastic modulus, angle of internal friction and cohesion. The reliability index and the failure probability of the tunnel are calculated with the optimization method, which provides a reliable basis for the design, stability analysis and safe construction of the tunnel engineering. The main research contents are as follows: firstly, the reliability analysis method is introduced briefly, and the reasonable reliability analysis method is chosen to analyze and calculate the tunnel stability by considering the influence of the uncertain factors in tunnel engineering. The limit state equation in tunnel engineering is usually an implicit form, so it is difficult to obtain the analytical solution of displacement and stress. Therefore, a method of reliability analysis of tunnel stability by numerical simulation combined with response surface method is proposed. Secondly, in order to verify the rationality of the above method, the unsupported circular tunnel in hydrostatic pressure field is selected. According to the analytical formula of surrounding rock deformation, the reliability index is obtained by using the optimization method and the response surface method. Not all the deformation in tunnel engineering can be obtained by analytic formula. According to the known geological parameters and distribution characteristics, the corresponding displacement can be obtained by numerical simulation, and the limit state equation can be fitted with the response surface method. Then the reliability index is obtained by iterative calculation. Through the analysis of the verification examples, the relative error between different methods is within a reasonable range. Thirdly, the above methods are applied to Dongchuan tunnel project under the measures of no support, shotcrete support, bolt support and bolt plus shotcrete support, and the corresponding reliability analysis is completed.
【学位授予单位】：河南理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：U452
[Abstract]:Tunnel is an important part of geotechnical engineering. Because of the uncertainty of various geological parameters in tunnel engineering, the traditional stability analysis method is difficult to consider uncertainty. Therefore, reliability analysis provides an effective way to study the stability of tunnel engineering. In this paper, the response surface method is combined with numerical simulation to establish the limit state equation of tunnel by considering the uncertainty of geological parameters such as elastic modulus, angle of internal friction and cohesion. The reliability index and the failure probability of the tunnel are calculated with the optimization method, which provides a reliable basis for the design, stability analysis and safe construction of the tunnel engineering. The main research contents are as follows: firstly, the reliability analysis method is introduced briefly, and the reasonable reliability analysis method is chosen to analyze and calculate the tunnel stability by considering the influence of the uncertain factors in tunnel engineering. The limit state equation in tunnel engineering is usually an implicit form, so it is difficult to obtain the analytical solution of displacement and stress. Therefore, a method of reliability analysis of tunnel stability by numerical simulation combined with response surface method is proposed. Secondly, in order to verify the rationality of the above method, the unsupported circular tunnel in hydrostatic pressure field is selected. According to the analytical formula of surrounding rock deformation, the reliability index is obtained by using the optimization method and the response surface method. Not all the deformation in tunnel engineering can be obtained by analytic formula. According to the known geological parameters and distribution characteristics, the corresponding displacement can be obtained by numerical simulation, and the limit state equation can be fitted with the response surface method. Then the reliability index is obtained by iterative calculation. Through the analysis of the verification examples, the relative error between different methods is within a reasonable range. Thirdly, the above methods are applied to Dongchuan tunnel project under the measures of no support, shotcrete support, bolt support and bolt plus shotcrete support, and the corresponding reliability analysis is completed.
【学位授予单位】：河南理工大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：U452
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