Abstract Current analytical solutions on the ground movements and stresses induced by shield tunneling in soft soils are generally based on the instantaneous excavation behavior. Furthermore, previous studies seldom took account of the influence of surcharge loading during tunnel excavation process. This paper introduces a complex variable analytical solution to estimate the deformation and stress of surrounding soils caused by shield tunneling subjected to surcharge loading considering the soil rheological mechanisms. The non-uniform convergence deformation boundary is adopted at the tunnel opening and the Boltzmann viscoelastic model is employed in the time-domain solution so as to consider the displacement controlled boundary and the rheological effects. The accuracy of complex variable time-dependent solution is then verified by comparisons with in-situ observed data, and good consistency is obtained. Finally, the parametric analyses are performed to evaluate the influence of correlative coefficients in Boltzmann viscoelastic model and paramount factors of surcharge loading on the feedback around tunneling. The ratios of the peak values of final surface settlements induced by tunneling in viscoelastic soils to those in elastic soils in the initial period vary approximately from 40% to 120%. The soil stresses around the tunnel increase about 50% significantly over time.

中文翻译：

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基于流变力学的超载荷载作用下隧道开挖引起的地面运动和应力的时间相关行为的分析预测

摘要 目前关于软土盾构隧道施工引起的地面运动和应力的解析解通常基于瞬时开挖行为。此外，以往的研究很少考虑隧道开挖过程中超载载荷的影响。本文介绍了一种复变量解析解，用于估计考虑土体流变机制的盾构隧道在超载荷载作用下引起的周围土体的变形和应力。隧道洞口采用非均匀收敛变形边界，时域求解采用Boltzmann粘弹性模型，考虑位移控制边界和流变效应。然后通过与原位观测数据的对比验证复变时变解法的准确性，获得了良好的一致性。最后，进行参数分析以评估玻尔兹曼粘弹性模型中的相关系数和超载载荷的主要因素对隧道周围反馈的影响。黏弹性土中隧道掘进引起的最终地表沉降峰值与初始阶段弹性土中的峰值比值大约在 40% 到 120% 之间。随着时间的推移，隧道周围的土壤应力会显着增加约 50%。进行参数分析以评估玻尔兹曼粘弹性模型中的相关系数和超载载荷的主要因素对隧道周围反馈的影响。黏弹性土中隧道掘进引起的最终地表沉降峰值与初始阶段弹性土中的峰值比值大约在 40% 到 120% 之间。随着时间的推移，隧道周围的土壤应力会显着增加约 50%。进行参数分析以评估玻尔兹曼粘弹性模型中的相关系数和超载载荷的主要因素对隧道周围反馈的影响。黏弹性土中隧道掘进引起的最终地表沉降峰值与初始阶段弹性土中的峰值比值大约在 40% 到 120% 之间。随着时间的推移，隧道周围的土壤应力会显着增加约 50%。