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Analytical and Semi-Analytical Solutions for Describing Tunneling-lnduced Transverse and Longitudinal Settlement Troughs

机译:用于描述隧道型横向和纵向沉降槽的分析和半分析解决方案

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摘要

It is an ongoing problem to develop a solution to predict ground deformation induced by shallow tunnels construction in dry soils. This study proposes a closed-form elastic analytical solution and a plastic analytical solution for calculating the longitudinal settlement trough. Meanwhile, a semi-analytical solution is further developed for better fitting tunneling-induced ground deformation, where the metaheuristics optimization algorithm particle swarm optimization (PSO) is employed to identify the empirical parameters of the proposed semi-analytical solution. A uniform formulation with the combination of analytical and semi-analytical solutions accounting for tunnel uniform convergence and ovalization deformation modes is proposed. A 3-dimensional numerical model and centrifuge test results are used to validate the prediction capability of the proposed solutions in predicting longitudinal and transverse settlement troughs, respectively. The results indicate the proposed semi-analytical solution can overcome the deficiency of analytical solutions, and the predicted results show great agreement with actual tunneling-induced transverse and longitudinal settlement troughs. A simple linear relationship is discovered between coefficients of the proposed semi-analytical solution identified by PSO and their influential factors that assign physical meaning to these empirical coefficients and also provides a straightforward method to estimate coefficients effectively.
机译:发展解决方案是一种持续的问题,以预测干旱浅隧道结构诱导的地面变形。该研究提出了一种闭合的弹性分析溶液和用于计算纵向沉降槽的塑料分析解决方案。同时,进一步开发了半分析解决方案以进行更好的隧道引起的地面变形,其中采用了所提出的半分析解决方案的经验参数来拟合隧道沟诱导的地面变形。提出了一种统一的配方,采用分析和半分析解决方案的组合占隧道均匀收敛和椭圆化变形模式。三维数值模型和离心机测试结果用于验证提出的解决方案的预测能力,分别在预测纵向和横向沉降槽中。结果表明所提出的半分析解决方案可以克服分析解决方案的缺陷,并且预测结果表现出与实际隧道诱导的横向和纵向沉降槽的一致意见。在由PSO标识的所提出的半分析解决方案的系数之间发现了简单的线性关系,以及它们对这些经验系数的物理意义分配物理意义的影响因素,并且还提供了有效估计系数的直接方法。

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