理论与试验研究

复合地层双线大直径泥水盾构隧道Peck公式修正

  • 梅源 ,
  • 刘子扬 ,
  • 周东波 ,
  • 王逸飞 ,
  • 张钰杭
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  • 1.西安建筑科技大学 土木工程学院,西安 710055;
    2.西安建筑科技大学 陕西省岩土与地下空间工程重点实验室,西安 710055
梅源(1983—),男,河南信阳人,博士,教授,主要从事土木工程施工与管理方向的教学与科研工作。E-mail:meiyuan@xauat.edu.cn
刘子扬(2000—),男,陕西汉中人,硕士,主要从事土木工程施工与岩土力学方向的研究工作。E-mail:lzy2023@xauat.edu.cn

收稿日期: 2025-07-15

  网络出版日期: 2026-06-23

基金资助

国家自然科学基金(52178302);陕西省重点研发计划项目(2020SF-373);陕西高校青年创新团队(2023—2026)

Modification of the Peck Formula for Double-Line Large-Diameter Slurry Shield Tunnels in Composite Strata

  • Mei Yuan ,
  • Liu Ziyang ,
  • Zhou Dongbo ,
  • Wang Yifei ,
  • Zhang Yuhang
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  • 1. College of Civil Engineering, Xi' an University of Architecture and Technology, Xi' an 710055, P. R. China;
    2. Shaanxi Key Lab of Geotechnical and Underground Space Engineering, Xi' an University of Architecture and Technology, Xi' an 710055, P. R. China

Received date: 2025-07-15

  Online published: 2026-06-23

摘要

随着城市化进程的加快,地下空间开发成为缓解城市交通压力的重要途径。在复合地层中,双线大直径泥水盾构隧道的建设面临着复杂的地质条件和施工难题。基于杭州某双线隧道工程的地表沉降实测数据,本研究采用数学方法进行回归分析,引入地表最大沉降量修正系数α和沉降槽宽度修正系数β对双线Peck公式进行修正,同时结合叠加原理提出了一种针对复合地层双线隧道掘进叠加段的适用性修正方法,以期准确预测复合地层双线大直径泥水盾构隧道施工的地表沉降规律。结果表明:修正前的复合地层中双线大直径泥水盾构的地表沉降实测值与Peck公式预测值之间有较大差异;通过实例确定叠加段修正方法可以有效提高双线隧道中心间距L大于(i+i)时的叠加段预测曲线拟合度;通过对比不同直径的Peck公式修正系数范围可知,大直径盾构在竖向沉降控制方面优于中小直径盾构,而沉降槽宽度修正系数分布范围要大于中小直径盾构。研究成果可为我国大直径盾构隧道设计施工提供参考。

本文引用格式

梅源 , 刘子扬 , 周东波 , 王逸飞 , 张钰杭 . 复合地层双线大直径泥水盾构隧道Peck公式修正[J]. 地下空间与工程学报, 2026 , 22(3) : 788 -799 . DOI: 10.20174/j.JUSE.2026.03.05

Abstract

With the acceleration of urbanization, underground space development has become an important way to relieve the pressure of urban traffic. In composite formation, the construction of a double-line large-diameter mud-water shield tunnel faces complicated geological conditions and construction problems. Based on the measured surface settlement data of a double-line tunnel project in Hangzhou, this study adopts a mathematical method to perform regression analysis and introduces the correction coefficient α of the maximum surface settlement and the correction coefficient β of the width of the settlement trough to correct the double-line Peck formula. Meanwhile, combining the superposition principle, an applicable correction method for the superposed section of the double-line tunnel in composite formation is proposed. In order to accurately predict the ground settlement law of double-line large-diameter mud-water shield tunnel construction in composite formation. The results show that there is a great difference between the measured value and the predicted value of the Peck formula of the double-line large-diameter mud shield before correction. Examples show that the superposition section correction method can effectively improve the fitting degree of the superposition section prediction curve when the center distance L of the two-track tunnel is greater than (i left +i right). By comparing the corrected coefficient range ofthe Peck formula with different diameters, it can be seen that the large-diameter shield is better than the small-diameter shield in vertical settlement control, and the distribution range of the corrected coefficient of sedimentation tank width is larger than that of the small-diameter shield. The research can provide a reference for the design and construction of large-diameter shield tunnels in China.

参考文献

[1] 钱七虎,胡小强,李树忱,等. 中国盾构隧道工程关键技术的新进展综述[J]. 隧道建设(中英文), 2024, 44 (5): 897-926. (Qian Qihu, Hu Xiaoqiang, Li Shuchen, et al. Recent advances in key technologies of shield tunnel engineering in China[J]. Tunnel Construction, 2024, 44(5): 897-926. (in Chinese))
[2] 《中国公路学报》编辑部. 中国交通隧道工程学术研究综述·2022[J]. 中国公路学报, 2022, 35 (4): 1-40. (Editorial Department of China Journal of Highway and Transport. Review on China's traffic tunnel engineering research: 2022[J]. China Journal of Highway and Transport, 2022, 35(4): 1-40. (in Chinese))
[3] 代洪波,季玉国. 我国大直径盾构隧道数据统计及综合技术现状与展望[J]. 隧道建设(中英文), 2022, 42 (5): 757-783. (Dai Hongbo, Ji Yuguo. Statistical analysis of Chinese large-diameter shield tunnel and state-of-art and prospective of comprehensive technologies[J]. Tunnel Construction, 2022, 42(5): 757-783. (in Chinese))
[4] 郭保和,徐纯杰,赵赢. 珠海隧道超大直径泥水盾构针对性设计研究[J]. 隧道建设(中英文), 2023, 43 (增1): 530-534. (Guo Baohe, Xu Chunjie, Zhao Ying. Targeted design of super-large diameter slurry shield applied in Zhuhai tunnel[J]. Tunnel Construction, 2023, 43(Supp.1): 530-534. (in Chinese))
[5] 朱伟,钱勇进,闵凡路,等. 中国泥水盾构使用现状及若干问题[J]. 隧道建设(中英文), 2019, 39 (5): 724-735. (Zhu Wei, Qian Yongjin, Min Fanlu, et al. The current status and some problems of slurry shield in China[J]. Tunnel Construction, 2019, 39(5): 724-735. (in Chinese))
[6] 梅源,史文艳,周东波,等. 上软下硬地层大直径盾构施工Peck沉降公式修正[J]. 地下空间与工程学报, 2024, 20 (6): 1798-1805. (Mei Yuan, Shi Wenyan, Zhou Dongbo, et al. Correction of Peck settlement formula for large diameter shield construction in upper soft and lower hard strata[J]. Chinese Journal of Underground Space and Engineering, 2024, 20(6): 1798-1805. (in Chinese))
[7] Peck R B. Deep excavations and tunneling in soft ground[A]//Proc. of 7th ICSMFE, Mexico[C]. 1969.
[8] 胡长明,冯超,梅源,等. 西安富水砂层盾构施工Peck沉降预测公式改进[J]. 地下空间与工程学报, 2018, 14 (1): 176-181. (Hu Changming, Feng Chao, Mei Yuan, et al. Modifying of Peck's settlement calculation formula related to metro tunnel construction in Xi'an water-rich sand[J]. Chinese Journal of Underground Space and Engineering, 2018, 14(1): 176-181. (in Chinese))
[9] 田均举,朱坤,蔡松,等. 基于郑州地铁下穿南水北调干渠的Peck公式反演分析[J]. 安全与环境工程, 2021, 28 (2): 109-113, 132. (Tian Junju, Zhu Kun, Cai Song, et al. Inversion analysis of Peck formula based on Zhengzhou subway running down the main channel of south-to-north water transfer[J]. Safety and Environmental Engineering, 2021, 28(2): 109-113, 132. (in Chinese))
[10] 牛永前,杨立林,申鲁. 基于Peck公式的富水砂质地层盾构隧洞施工沉降分析[J]. 人民黄河, 2023, 45 (4): 130-135, 142. (Niu Yongqian, Yang Lilin, Shen Lu. Sedimentation analysis of shield tunnel construction on water-rich sandy stratum based on Peck formula[J]. Yellow River, 2023, 45(4): 130-135, 142. (in Chinese))
[11] 贾宝新,高宗贤,惠鹏飞. 上软下硬地层隧道盾构施工引起的地表沉降研究[J]. 安全与环境学报, 2021, 21 (3): 1083-1088. (Jia Baoxin, Gao Zongxian, Hui Pengfei. A proper approach to the surface settlement induced by the shield tunneling through the upper-soft and lower-hard ground[J]. Journal of Safety and Environment, 2021, 21(3): 1083-1088. (in Chinese))
[12] 刘俊杰,刘俊伟,任晓敏,等. 土岩复合地层隧道盾构开挖地表沉降Peck公式修正[J]. 河南理工大学学报(自然科学版), 2022, 41 (2): 171-177. (Liu Junjie, Liu Junwei, Ren Xiaomin, et al. Modification of Peck formula for ground settlement caused by shield tunneling in soil-rock composite stratum[J]. Journal of Henan Polytechnic University (Natural Science), 2022, 41(2): 171-177. (in Chinese))
[13] 郜新军,魏文宇,李珊珊,等. 洛阳盾构隧道地表沉降Peck公式参数修正[J]. 郑州大学学报(工学版), 2025, 46(1): 75-81. (Gao Xinjun, Wei Wenyu, Li Shanshan, et al. Parameters modification of Peck formula for surface settlement of shield tunnelling in Luoyang[J]. Journal of Zhengzhou University (Engineering Science), 2025, 46(1): 75-81. (in Chinese))
[14] 宫亚峰,王博,魏海斌,等. 基于Peck公式的双线盾构隧道地表沉降规律[J]. 吉林大学学报(工学版), 2018, 48 (5): 1411-1417. (Gong Yafeng, Wang Bo, Wei Haibin, et al. Surface subsidence law of double-line shield tunnel based on Peck formula[J]. Journal of Jilin University (Engineering and Technology Edition), 2018, 48(5): 1411-1417. (in Chinese))
[15] 丁智,王凡勇,魏新江. 软土双线盾构施工地表变形实测分析与预测[J]. 浙江大学学报(工学版), 2019, 53 (1): 61-68. (Ding Zhi, Wang Fanyong, Wei Xinjiang. Prediction and analysis of surface deformation caused by twin shield construction in soft soil[J]. Journal of Zhejiang University (Engineering Science), 2019, 53(1): 61-68. (in Chinese))
[16] 师刚,袁浩旭,张澄玄,等. 基于Peck公式的双线隧道地面沉降模型及参数研究[J]. 城市轨道交通研究, 2022, 25 (1): 161-165. (Shi Gang, Yuan Haoxu, Zhang Chengxuan, et al. Study on ground settlement model and parameters of twin-line tunnel based on Peck formula[J]. Urban Mass Transit, 2022, 25(1): 161-165. (in Chinese))
[17] 王超,单生彪. 双线盾构隧道斜交下穿既有机场高速公路的地表沉降预测模型研究[J]. 中国安全生产科学技术, 2023, 19 (1): 85-94. (Wang Chao, Shan Shengbiao. Study on prediction model for ground settlement of double-track shield tunnel oblique undercrossing existing airport expressway[J]. Journal of Safety Science and Technology, 2023, 19(1): 85-94. (in Chinese))
[18] 乙珂豪,师文豪,吴静红,等. 软土地层双线隧道地表沉降计算公式修正[J]. 科学技术与工程, 2024, 24 (4): 1627-1634. (Yi Kehao, Shi Wenhao, Wu Jinghong, et al. Correction of surface settlement prediction formula for twin tunnel with soft ground[J]. Science Technology and Engineering, 2024, 24(4): 1627-1634. (in Chinese))
[19] 张颖. 盾构隧道近距离穿越施工技术研究[D]. 上海: 同济大学, 2007. (Zhang Ying. Research on the construction technology of subway shield tunneling across the closely tunnels[D]. Shanghai: Tongji University, 2007. (in Chinese))
[20] 赵东平,沈振东,王风,等. 砂卵石泥岩复合地层盾构隧道施工导致的地表沉降槽宽度计算方法研究[J]. 现代隧道技术, 2022, 59 (增1): 32-41. (Zhao Dongping, Shen Zhendong, Wang Feng, et al. Study on calculation method of surface settlement trough width caused by shield tunnelling in sandy pebble mudstone composite stratum[J]. Modern Tunnelling Technology, 2022, 59(Supp.1): 32-41. (in Chinese))
[21] 李娴,王思瑶,张标,等. 双孔隧道的地表沉降预测及其可靠度分析[J]. 地下空间与工程学报, 2019, 15 (增1): 428-435. (Li Xian, Wang Siyao, Zhang Biao, et al. Ground surface settlement prediction and reliability analysis of twin tunnels[J]. Chinese Journal of Underground Space and Engineering, 2019, 15(Supp.1): 428-435. (in Chinese))
[22] 冯亮,巫锡勇,牟迪,等. 成都砂卵石地层双线隧道Peck公式参数取值研究[J]. 铁道科学与工程学报, 2017, 14 (1): 100-109. (Feng Liang, Wu Xiyong, Mou Di, et al. Parameters selection research of Peck formula for twin tunnels in sandy-pebble stratum[J]. Journal of Railway Science and Engineering, 2017, 14(1): 100-109. (in Chinese))
[23] 孟乔,张晓清. 复合地层双线盾构上跨既有地铁隧道施工诱发地表沉降分析[J]. 铁道建筑技术, 2017(11): 96-101. (Meng Qiao, Zhang Xiaoqing. Study on ground surface settlement induced by double track shield tunnelling upper-crossing existing metro tunnel in composite ground[J]. Railway Construction Technology, 2017(11): 96-101. (in Chinese))
[24] 魏纲,周杨侃. 随机介质理论预测近距离平行盾构引起的地表沉降[J]. 岩土力学, 2016(增2): 113-119. (Wei Gang, Zhou Yangkan. A simplified method for predicting ground settlement caused by adjacent parallel twin shield tunnel construction based on stochastic medium theory[J]. Rock and Soil Mechanics, 2016(Supp.2): 113-119. (in Chinese))
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