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提出了地下洞室变形可靠度分析的非侵入式随机有限元法。介绍了随机多项式展开的基本原理,采用GEOSLOPE的SIGMA/W模块进行确定性有限元分析。提出了随机多项式展开与SIGMA/W模块接口方法及其流程图,从而实现了确定性有限元分析和随机分析一体化。最后研究了非侵入式随机有限元法在地下洞室变形可靠度分析中的应用。结果表明:非侵入式随机有限元法使得随机分析与确定性有限元分析互不耦合,其计算效率是传统的蒙特卡罗模拟方法无可比拟的,它是地下洞室变形可靠度问题分析一种有效的方法。采用二次衬砌支护是提高地下洞室可靠度有效的方法。此外,岩体变形模量的变异性对地下洞室变形可靠度有非常明显的影响,而岩体重度的变异性对可靠度基本上没有影响。因此,在地质勘查中要尽可能准确地确定岩体的变形模量,从而有效地提高地下洞室变形可靠度。
A non-intrusive stochastic finite element method is proposed to analyze the deformation reliability of underground caverns. The basic principle of stochastic polynomial expansion is introduced. The deterministic finite element analysis is carried out by GEOSLOPE SIGMA / W module. The method of random polynomial expansion and SIGMA / W module interface and its flow chart are proposed, so as to realize the integration of deterministic finite element analysis and stochastic analysis. Finally, the application of non-intrusive stochastic finite element method in the analysis of deformation reliability of underground caverns is studied. The results show that the non-intrusive stochastic finite element method does not couple stochastic analysis and deterministic finite element analysis, and its computational efficiency is unmatched by the traditional Monte Carlo simulation method. It is an analysis of the deformation reliability of underground caverns Effective method. The use of secondary lining support is an effective way to improve the reliability of underground caverns. In addition, the variability of deformation modulus of rock mass has a very significant effect on the deformation reliability of underground caverns, while the variability of rock mass mass has almost no effect on the reliability. Therefore, in geological prospecting, the deformation modulus of rock mass should be determined as accurately as possible so as to effectively improve the deformation reliability of underground caverns.