大断面浅埋隧道地表沉降Peck修正公式及其应用

马昭, 张明礼, 段旭晗, 赵博

raybet体育在线 院报 ›› 2024, Vol. 41 ›› Issue (3) : 118-125.

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raybet体育在线 院报 ›› 2024, Vol. 41 ›› Issue (3) : 118-125. DOI: 10.11988/ckyyb.20221116
岩土工程

大断面浅埋隧道地表沉降Peck修正公式及其应用

  • 马昭1, 张明礼1,2, 段旭晗1, 赵博1
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Modified Peck’s Formula for Surface Settlement of Large-section Shallow-buried Tunnel and Its Application

  • MA Zhao1, ZHANG Ming-li1,2, DUAN Xu-han1, ZHAO Bo1
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摘要

针对经典Peck公式未考虑隧道断面形状、埋深对大断面浅埋隧道地表沉降影响的不足,考虑断面形状与隧道埋深修正系数改进Peck公式。利用白塔山隧道地表沉降实测数据对修正公式进行验证,两个监测断面预测值与实测值平均相对误差8.3%,最大相对误差18.4%。进而采用修正Peck公式对不同断面形状、不同埋深隧道开挖引起的地表沉降进行预测。结果表明:地表最大沉降与断面形状修正系数成正相关,地表最大沉降依次为矩形-1(Ⅰ)>马蹄形-1(Ⅱ)>圆形(Ⅴ)>矩形-2(Ⅲ)>马蹄形-2(Ⅳ);随着大断面浅埋隧道埋深增加,地表最大沉降减小而地表沉降槽宽度相应增大。地表沉降曲线形态由窄而深过渡到宽而浅,地表核心沉降区面积也逐渐减小。研究成果可为类似工程提供理论支持和技术参考。

Abstract

The classical Peck’s formula fails to account for the impact of tunnel’s section shape and buried depth on surface settlement in shallow-buried tunnels with large section. To address this limitation, we introduced a modified Peck’s formula by incorporating correction coefficients for sectional shape and buried depth, and verified the validity of the modified formula using measured surface settlement data of the Baitashan Tunnel. The average relative error between predicted and measured values for two monitoring sections is 8.3%, with a maximum relative error of 18.4%. Additionally, we employed the modified Peck’s formula to predict surface settlement resulting from tunnel excavation under various sectional shapes and buried depths. The results demonstrate a positive correlation between the maximum surface settlement and the sectional shape correction coefficient, with the following order of maximum surface settlement predicted: rectangle-1(Ⅰ) > horseshoe-1(Ⅱ) > circle (V) > rectangle-2(Ⅲ) > horseshoe-2(Ⅳ). As the burial depth of the large-section shallow-buried tunnel increases, the maximum surface settlement decreases, and the width of surface settlement groove correspondingly widens. The surface settlement curve transitions from being narrow and deep to wide and shallow, while the area of core settlement gradually diminishes. The outcomes presented in this study provide theoretical support and serve as a technical reference for similar projects.

关键词

大断面浅埋隧道 / 地表沉降预测 / Peck修正公式 / 断面形状

Key words

shallow-buried tunnel with large section / surface settlement prediction / Peck’s correction formula / sectional shape

引用本文

导出引用
马昭, 张明礼, 段旭晗, 赵博. 大断面浅埋隧道地表沉降Peck修正公式及其应用[J]. raybet体育在线 院报. 2024, 41(3): 118-125 https://doi.org/10.11988/ckyyb.20221116
MA Zhao, ZHANG Ming-li, DUAN Xu-han, ZHAO Bo. Modified Peck’s Formula for Surface Settlement of Large-section Shallow-buried Tunnel and Its Application[J]. Journal of Changjiang River Scientific Research Institute. 2024, 41(3): 118-125 https://doi.org/10.11988/ckyyb.20221116
中图分类号: U451   

参考文献

[1] 韩现民,孙明磊,李文江,等.复杂条件下隧道断面形状和支护参数优化[J].岩土力学,2011,32(增刊1):725-731.(HAN Xian-min,SUN Ming-lei,LI Wen-jiang,et al. Optimization of Section Shape and Support Parameters of Tunnel under Complicated Conditions[J]. Rock and Soil Mechanics,2011,32(Sup.1):725-731.(in Chinese))
[2] 芮 瑞, 何 清, 陈 成, 等. 盾构穿越临近地下挡土结构土压力及沉降影响模型试验[J]. 岩土工程学报, 2020, 42(5): 864-872.(RUI Rui, HE Qing, CHEN Cheng, et al. Model Tests on Earth Pressure and Settlement of Shield Tunnel Crossing Adjacent Underground Retaining Structures[J]. Chinese Journal of Geotechnical Engineering, 2020, 42(5): 864-872.(in Chinese))
[3] 段宝福, 宋立坤, 周鑫明, 等. 浅埋暗挖地铁隧道地表沉降研究现状[J]. 现代隧道技术, 2017, 54(4): 25-32.(DUAN Bao-fu, SONG Li-kun, ZHOU Xin-ming, et al. On Research Status of Surface Settlement of a Bored Subway Tunnel with a Shallow Overburden[J]. Modern Tunnelling Technology, 2017, 54(4): 25-32.(in Chinese))
[4] 李鹏飞,勾宝亮,朱 萌,等.基于镜像法的隧道地表沉降时间效应计算方法[J].岩土力学,2022,43(3):799-807.(LI Peng-fei, GOU Bao-liang, ZHU Meng, et al. A Calculation Method of the Time-dependent Behavior for Tunneling-induced Ground Settlement Based on Virtual Image Technique[J]. Rock and Soil Mechanics, 2022, 43(3): 799-807.(in Chinese))
[5] 朱正国, 黄 松, 朱永全. 铁路隧道下穿公路引起的路面沉降规律和控制基准研究[J]. 岩土力学, 2012, 33(2): 558-563, 576.(ZHU Zheng-guo, HUANG Song, ZHU Yong-quan. Study of Road Surface Settlement Rule and Controlled Criterion for Railway Tunnel Undercrossing Highway[J]. Rock and Soil Mechanics, 2012, 33(2): 558-563, 576.(in Chinese))
[6] 左昌群,刘代国,丁少林,等.基于分形理论的隧道地表沉降分析及预测[J].raybet体育在线 院报,2016,33(4):51-56.(ZUO Chang-qun,LIU Dai-guo,DING Shao-lin, et al.Analysis and Prediction of Tunnel Surface Subsidence Based on Fractal Theory[J].Journal of Yangtze River Scientific Research Institute,2016,33(4):51-56.(in Chinese))
[7] PECK R B.Deep Excavations and Tunneling in Soft Ground[C]//International Society for Soil Mechanics and Geotechnical Engineering. Proceedings of 7th International Conference of Soil Mechanics and Foundation Engineering. Mexico City, January 1,1969: 225-290.
[8] MAIR R J, TAYLOR R N, BRACEGIRDLE A. Subsurface Settlement Profiles above Tunnels in Clays[J]. Géotechnique, 1995, 45(2): 361-362.
[9] 韩 煊, 李 宁, STANDING J R. 地铁隧道施工引起地层位移规律的探讨[J]. 岩土力学, 2007, 28(3): 609-613.(HAN Xuan, LI Ning, STANDING J R. Study on Subsurface Ground Movement Caused by Urban Tunneling[J]. Rock and Soil Mechanics, 2007, 28(3): 609-613.(in Chinese))
[10] 王 帅,孙少锐,舒 杨,等.双线浅埋隧道远近距离界定及地表沉降机理研究[J].raybet体育在线 院报,2017,34(9):115-121.(WANG Shuai,SUN Shao-rui,SHU Yang,et al. Critical Distance of Shallow Twin Tunnels and Ground Surface Settlements Caused by Tunneling[J]. Journal of Yangtze River Scientific Research Institute,2017,34(9):115-121.(in Chinese))
[11] 江 帅, 朱 勇, 栗 青, 等. 隧道开挖地表沉降动态预测及影响因素分析[J]. 岩土力学, 2022, 43(1): 195-204.(JIANG Shuai, ZHU Yong, LI Qing, et al. Dynamic Prediction and Influence Factors Analysis of Ground Surface Settlement during Tunnel Excavation[J]. Rock and Soil Mechanics, 2022, 43(1): 195-204.(in Chinese))
[12] 郭洪涛, 马甲宽, 代家宝, 等. 黄土地区地铁双连拱隧道浅埋暗挖施工变形特征研究: 以西安地铁5号线停车场出入场线工程为例[J]. 隧道建设(中英文), 2020, 40(10): 1417-1425.(GUO Hong-tao, MA Jia-kuan, DAI Jia-bao, et al. Research on Deformation Characteristics of Shallow-buried Mined Double-arch Metro Tunnel in Loess Area: A Case Study on Parking Lot Entrance and Exit Line Project of Xi’an Metro Line No. 5[J]. Tunnel Construction, 2020, 40(10): 1417-1425.(in Chinese))
[13] 赵兴东,段进超,唐春安,等.不同断面形式隧道破坏模式研究[J].岩石力学与工程学报,2004,23(增刊2): 4921-4925.(ZHAO Xing-dong, DUAN Jin-chao, TANG Chun’an, et al. Study on Failure Mode of Tunnels with Different Sections[J]. Chinese Journal of Rock Mechanics and Engineering, 2004, 23(Sup.2): 4921-4925.(in Chinese))
[14] 房 倩, 杜建明, 王中举, 等. 盾构施工影响下砂土地层变形规律模型试验研究[J]. 中国公路学报, 2021, 34(5): 135-143, 214.(FANG Qian, DU Jian-ming, WANG Zhong-ju, et al. Model Experimental Study on Stratum Deformation of Shield Tunnelling in Sand[J]. China Journal of Highway and Transport, 2021, 34(5): 135-143, 214.(in Chinese))
[15] 吴昌胜, 朱志铎. 不同直径盾构隧道地层损失率的对比研究[J]. 岩土工程学报, 2018, 40(12): 2257-2265.(WU Chang-sheng, ZHU Zhi-duo. Comparative Study on Ground Loss Ratio Due to Shield Tunnel with Different Diameters[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(12): 2257-2265.(in Chinese))
[16] 韩 煊. 隧道施工引起地层位移及建筑物变形预测的实用方法研究[D]. 西安: 西安理工大学, 2007.(HAN Xuan. Practical Method of Predicting Tunnelling-induced Building Deformations[D]. Xi’an: Xi’an University of Technology, 2007.(in Chinese))
[17] 柳厚祥.地铁隧道盾构施工诱发地层移动机理分析与控制研究[D].西安:西安理工大学,2008.(LIU Hou-xiang. Mechanism Analysis and Control of Ground Movements Induced by Subway Shield Tunneling Construction[D]. Xi’an: Xi’an University of Technology, 2008.(in Chinese))
[18] 李文博, 陶连金, 王文沛, 等. 基于改进GAP模型盾构隧道开挖诱发地表沉降规律研究[J]. 铁道建筑, 2012, 52(10): 44-46, 49.(LI Wen-bo, TAO Lian-jin, WANG Wen-pei, et al. Study on Surface Subsidence Induced by Shield Tunnel Excavation Based on Improved GAP Model[J]. Railway Engineering, 2012, 52(10): 44-46, 49.(in Chinese))
[19] 陈卫忠, 王 辉, 田洪铭. 浅埋破碎岩体中大跨隧道断面扁平率优化研究[J]. 岩石力学与工程学报, 2011, 30(7): 1389-1395.(CHEN Wei-zhong, WANG Hui, TIAN Hong-ming. Study of Flat Ratio Optimization of Large-span Tunnel Section in Shallow Broken Rock Mass[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30(7): 1389-1395.(in Chinese))
[20] 李硕标,丁文其,张永刚.非贯穿式浅埋矩形隧道导洞开挖顺序优化[J].现代隧道技术,2020,57(增刊1):1093-1101.(LI Shuo-biao,DING Wen-qi,ZHANG Yong-gang.Optimization of Excavation Sequence for Pilot Tunnels of a Non-penetrating Shallow Rectangular Tunnel[J]. Modern Tunnelling Technology,2020,57(Sup.1):1093-1101.(in Chinese))
[21] 刘 维, 吴 奔, 史培新, 等. 浅埋矩形隧道掘进面被动失稳混合破坏机制[J]. 岩石力学与工程学报, 2022, 41(增刊1): 2673-2683.(LIU Wei, WU Ben, SHI Pei-xin, et al. An Advanced Mechanism for the Face Passive Instability of Shield Tunnelling with Rectangular Cross-section[J]. Chinese Journal of Rock Mechanics and Engineering, 2022, 41(Sup.1): 2673-2683.(in Chinese))
[22] 茅为中, 王云龙, 张 念. 地铁隧道覆跨比和高跨比对地表沉降的影响[J]. 隧道建设, 2010, 30(3): 242-245.(MAO Wei-zhong, WANG Yun-long, ZHANG Nian. Influence of Cover-span Ratios and Height-span Ratios of Metro Tunnels on Ground Surface Settlement[J]. Tunnel Construction, 2010, 30(3): 242-245.(in Chinese))
[23] 方 焘,梁 连,颜建伟.不同埋深下盾构隧道施工引起的地层变形试验[J].raybet体育在线 院报,2023,40(3):85-92.(FANG Tao, LIANG Lian, YAN Jian-wei. Experimental Study on Stratum Deformation Caused by Shield Tunnelling under Different Buried Depths[J]. Journal of Yangtze River Scientific Research Institute, 2023,40(3):85-92.(in Chinese))

基金

中国科学院“西部青年学者”项目(23JR6KA027);陇原青年创新创业人才(个人)项目(2023LQGR18);甘肃省住房和城乡建设厅建设科技项目(JK2021-49);甘肃省高等学校产业支撑计划项目(2020C-40);甘肃省基础研究创新群体项目(20JR5RA478)

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