院报 ›› 2024, Vol. 41 ›› Issue (3): 118-125.DOI: 10.11988/ckyyb.20221116

• 岩土工程 • 上一篇    下一篇

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   

  1. 1.兰州理工大学 土木工程学院,兰州 730050;
    2.兰州理工大学 西部土木工程防灾减灾教育部工程研究中心,兰州 730050
  • 收稿日期:2022-09-02 修回日期:2022-12-03 出版日期:2024-03-01 发布日期:2024-03-05
  • 通讯作者: 张明礼(1987-),男,陕西安康人,副教授,博士,主要从事岩土工程多场耦合研究。E-mail:mingli_0919@126.com
  • 作者简介:马 昭(1998-),男,陕西咸阳人,硕士,主要从事岩土工程研究。E-mail:1224029677@qq.com
  • 基金资助:
    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)

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   

  1. 1. School of Civil Engineering, Lanzhou University of Technology, Lanzhou 730050, China;
    2. Western Engineering Research Center of Disaster Mitigation in Civil Engineering of Ministry of Education, Lanzhou University of Technology, Lanzhou 730050, China
  • Received:2022-09-02 Revised:2022-12-03 Online:2024-03-01 Published:2024-03-05

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。

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

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.

Key words: shallow-buried tunnel with large section, surface settlement prediction, Peck’s correction formula, sectional shape

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