Abstract
This paper focuses on the ground settlement induced by the construction of a curved shield tunnel. Ground loss and construction loadings are the two factors causing ground settlement, and two corresponding analytical models were developed. First, the ground settlement due to ground loss was analyzed based on 3D image theory. The “integrative gap at shield tail” (IGST) and overcutting gap of a curved tunnel were considered. Second, the ground settlement due to construction loadings was analyzed by modifying Mindlin’s solutions. The additional thrust, frictional force, and grouting pressure were considered. Subsequently, a case study and a parameter analysis were conducted. Finally, the obtained solutions were compared with a classical analytical solution, numerical simulations, and monitored results. The proposed model could effectively predict the ground settlement induced during curved shield tunneling.
概 要
目 的
盾构掘进引起施工期土体变形的关键影响因素是施工荷载和土体损失. 结合曲线盾构隧道施工特点, 本文旨在推导由土体损失及施工荷载(开挖面附加推力、 盾壳与土体间摩擦力和盾尾注浆压力等)引起的地层竖向变形的计算公式, 并研究隧道曲率半径对地层沉降的影响.
创新点
1. 通过建立曲线盾构隧道掘进模型, 推导出三维土体损失引起土体变形的理论公式; 2. 通过改写Mindlin解, 提出作用在空间曲面上的面分布力引起土体变形的理论公式.
方 法
1. 基于半无限体中任意单位空隙变形引起土体变形的镜像法原理, 并根据实际三维空间域的积分思想, 分别对盾尾处及开挖面处土体损失引起的土体竖向变形进行推导计算; 2. 基于改写的Mindlin解, 推导并计算曲线盾构隧道施工时各施工荷载引起的土体竖向变形; 3. 与现场监测、 数值模拟及已有文献的结果进行对比, 验证所提方法的可靠性.
结 论
1. 盾尾整合间隙、 摩擦力、 注浆压力和开挖面附加推力引起的曲线隧道轴线上方土体的竖向变形曲线不再像直线隧道一样关于隧道轴线对称. 2. 由于曲线盾构隧道掘进时超挖的需要, 各影响因素下总的地表沉降值及横向沉降槽范围都比直线隧道大. 3. 随着土体深度的增大, 各影响因素引起的土体竖向变形的峰值有所增大; 总的沉降峰值和偏移量均随隧道曲率半径的减小而增大.
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Shao-hua LI and Peng-fei LI designed the research. Shao-hua LI performed the computer programs and the numerical simulations. Shao-hua LI wrote the first draft of the manuscript. Ming-ju ZHANG and Peng-fei LI revised and edited the final version.
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Shao-hua LI, Peng-fei LI, and Ming-ju ZHANG declare that they have no conflict of interest.
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Project supported by the National Natural Science Foundation of China (Nos. 51738010, 51978018, and 51978019)
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Li, Sh., Zhang, Mj. & Li, Pf. Analytical solutions to ground settlement induced by ground loss and construction loadings during curved shield tunneling. J. Zhejiang Univ. Sci. A 22, 296–313 (2021). https://doi.org/10.1631/jzus.A2000120
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DOI: https://doi.org/10.1631/jzus.A2000120