基于修正Loganathan公式的非水平布置双线平行盾构隧道施工引起土体位移计算方法
王超1邹金锋1李方2刘波3饶兵兵4舒丹1
Calculation Method for Soil Displacement Caused by Non-horizontal Parallel Double-line Shield Tunnel Construction Based on Modified Loganathan Formula
WANG Chao1ZOU Jinfeng1LI Fang2LIU Bo3RAO Bingbing4SHU Dan1
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作者信息:1.中南大学土木工程学院， 410075， 长沙
2.中铁一局集团有限公司， 710054， 西安
3.中铁上海设计院集团有限公司， 200040， 上海
4.江西中昌工程咨询监理有限公司， 330038， 南昌
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Affiliation:1.School of Civil Engineering, Central South University, 410075, Changsha, China
2.China Railway First Group Co., Ltd., 710054, Xi’an, China
3.China Railway Shanghai Design Institute Group Co., Ltd., 200040, Shanghai, China
4.Jiangxi Zhongchang Engineering Consulting & Supervision Co., Ltd., 330038, Nanchang, China
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关键词:
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Key words:
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DOI:10.16037/j.1007-869x.2024.07.001
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中图分类号/CLCN:U455.43
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栏目/Col:学术专论
摘要:
［目的］为研究双线平行盾构隧道非水平布置方式下，由施工引起的周围土体位移规律，提出一种基于修正Loganathan公式的土体位移计算方法。［方法］介绍了Loganathan公式及相关假设；考虑盾构隧道开挖扰动引起的地层损失、土体卸荷回弹和土体损失率沿掘进路径变化的综合影响，修正Loganathan公式并建立单线盾构隧道周围土体位移解；建立双线平行盾构隧道非水平布置方式下，由施工引起的土体位移计算方法；通过实际工程的现场监测和数值模拟结果，验证所提计算方法的工程适用性。［结果及结论］所提计算方法能够考虑隧道轴心连线与水平面夹角、双线隧道半径、隧道轴心间距、双线隧道埋深等双线隧道布置因素，以及隧道盾构施工扰动造成的地层损失、土体卸荷回弹和土体损失率沿掘进路径变化等施工因素对土体位移的影响。地面沉降及土体水平位移的理论计算结果同现场监测结果和数值模拟结果之间的平均误差分别为5.6％、0.6％和5.5％、5.3％，均满足工程经验规定的20％的精度要求，说明所提计算方法能够有效解决双线平行盾构隧道非水平布置方式下施工引起的土体位移计算问题，具有良好的工程适用性。
Abstracts:
［Objective］ To investigate the law of surrounding soil displacement induced by construction under the arrangement of non-horizontal parallel double-line shield tunnels, a soil displacement calculation method based on modified Loganathan formula is proposed. ［Method］ The Loganathan formula and its relevant assumptions are introduced. Considering the comprehensive effects of ground loss, soil unloading rebound, and variation of soil loss rate along the excavation path caused by shield tunnel excavation disturbance, the Loganathan formula is modified, and a solution for soil displacement around a single-line shield tunnel is established. Then, a calculation method for soil displacement induced by construction in the case of non-horizontal parallel double-line shield tunnels is developed. The engineering applicability of the proposed method is validated through field monitoring and numerical simulation results of actual projects. ［Result & Conclusion］ The proposed calculation method can account for factors such as the angle (θ) between the tunnel axis line and the horizontal plane, the radius (R1,R2) of double-line tunnels, the spacing (D) between tunnel axes, and the buried depth (H1,H2) of double-line tunnels, and the influence of construction factors such as ground loss, soil unloading rebound, and variation of soil loss rate along the excavation path caused by shield tunnel construction disturbance on soil displacement. The average errors between theoretical calculation and field monitoring/numerical simulation results for land subsidence and horizontal soil displacement are 5.6% and 0.6%, and 5.5% and 5.3%, respectively. These errors all meet the 20% accuracy requirement specified by engineering experience, demonstrating that the proposed calculation method can effectively address the soil displacement calculation problem induced by the construction of non-horizontal parallel double-line shield tunnels and has good engineering applicability.
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