Estimating method of retaining pile and surface deformation of loess pile-supported foundation pit#br#
WANG Xiaoyong1, 2*, ZHENG Jianguo1, 3, YU Yongtang2, MAO Jidong4, ZHANG Zhiyi2, YANG Lei2, LIANG Yi2
(1. College of Civil Engineering, Xi?an University of Architecture and Technology, Xi?an, Shaanxi 710055, China; 2. China United Northwest Institute for Engineering Design and Research Co., Ltd., Xi?an, Shaanxi 710077, China; 3. China Jikan Research
Institute of Engineering Investigations and Design, Co., Ltd., Xi?an, Shaanxi 710021, China; 4. Shaanxi Construction
Engineering Group Co., Ltd., Xi?an, Shaanxi 710003, China)
Abstract：This study addresses the critical challenge of accurately predicting retaining pile deformation and ground surface settlement of pile-braced foundation pits located in loess areas. Based on the data collected from 19 projects in Xi?an, the horizontal deformation of retaining piles and the ground surface settlement were systematically analyzed. By comparing the deformation characteristics of foundation pits in loess and soft clay, a modified Gaussian curve and a skewed distribution curve were proposed to better characterize the settlement profiles. By systematically integrating the effects of pile insertion ratio, the piles? flexural rigidity, and the bracing stiffness, a comprehensive stiffness coefficient for the entire support structure was established. The findings reveal that the pile deformation exhibits a concave profile, with the maximum displacement located at the depth of 0.55–0.75 times the depth of the foundation pit (H). Horizontal deformation diminishes and approaches zero beyond a depth of 1.5H. The maximum ground surface settlement is observed at a distance of 0.5H from the pit?s edge, with the zone of influence extending to approximately 2H. Compared with traditional methods, the comprehensive stiffness coefficient proposed in this paper significantly enhances the accuracy of pile displacement prediction, which improves the fitting determination coefficient by 1.5 times. These findings offer valuable insights for optimizing the design and safety assessment of pile-braced foundation pits in loess areas.
[1] 朱合华，丁文其，乔亚飞，等. 简析我国城市地下空间开发利用的问题与挑战[J]. 地学前缘，2019，26(3)：22–31.(ZHU Hehua，DING Wenqi，QIAO Yafei，et al. Issues and challenges in urban underground space utilization in China[J]. Earth Science Frontiers，2019，26(3)：22–31.(in Chinese))
[2] 时 炜，郑建国，曹静远，等. 黄土地层基坑工程近距上跨地铁隧道小变形控制方法研究[J]. 隧道建设：中英文，2025，45(2)：361–374.(SHI Wei，ZHENG Jianguo，CAO Jingyuan，et al. Microdeformation control method of a loess foundation pit closely crossing above a metro tunnel[J]. Tunnel Construction，2025，45(2)：361–374.(in Chinese))
[3] PECK R B. Deep excavation and tunneling in soft ground[C]// Proceedings of the 7th International Conference on Soil Mechanics and Foundation Engineering. Mexico City：State of-the-Art-Volume，1969：225–290.
[4] CLOUGH G W，O?ROURKE T D. Construction induced movements of in situ walls[C]// Proceedings of ASCE conference on design and performance of earth retaining structures. New York：Geotechnical Special Publication，1990：439–470.
[5] HSIEH P G，OU C Y. Shape of ground surface settlement profiles caused by excavation[J]. Canadian Geotechnical Journal，1998，35(6)：1 004–1 017.
[6] 王卫东，徐中华，王建华. 上海地区深基坑周边地表变形性状实测统计分析[J]. 岩土工程学报，2011，33(11)：1 659–1 666.(WANG Weidong，XU Zhonghua，WANG Jianhua. Statistical analysis of characteristics of ground surface settlement caused by deep excavations in Shanghai soft soils[J]. Chinese Journal of Geotechnical Engineering，2011，33(11)：1 659–1 666.(in Chinese))
[7] 聂宗泉，张尚根，孟少平. 软土深基坑开挖地表沉降评估方法研究[J]. 岩土工程学报，2008，30(8)：1 218–1 223.(NIE Zongquan，ZHANG Shanggen，MENG Shaoping. Surface settlement of deep foundation pits by excavation[J]. Chinese Journal of Geotechnical Engineering，2008，30(8)：1 218–1 223.(in Chinese))
[8] 刘小丽，周 贺，张占民. 软土深基坑开挖地表沉降估算方法的分析[J]. 岩土力学，2011，32(增1)：90–94.(LIU Xiaoli，ZHOU He，ZHANG Zhanmin. Analysis of surface settlement estimation of deep foundation pit excavation in soft soil[J]. Rock and Soil Mechanics，2011，32(Supp.1)：90–94.(in Chinese))
[9] 顾剑波，钱建固. 任意柔性挡墙变位诱发地表沉降的解析理论预测[J]. 岩土力学，2015，36(增1)：465–470.(GU Jianbo，QIAN Jiangu. Analytical theory of ground settlement induced by movement of flexible retaining wall[J]. Rock and Soil Mechanics，2015，36(Supp.1)：465–470.(in Chinese))
[10] 沈路遥，钱建固，张戎泽. 挡墙水平变位诱发地表沉降的简化解析解[J]. 岩土力学，2016，37(8)：2 293–2 298.(SHEN Luyao，QIAN Jiangu，ZHANG Rongze. A simplified analytical solution for ground settlement induced by horizontal movement of retailing wall[J]. Rock and Soil Mechanics，2016，37(8)：2 293–2 298.(in Chinese))
[11] 胡之锋，陈 健，邱岳峰，等. 挡墙水平变位诱发地表沉降的显式解析解[J]. 岩土力学，2018，39(11)：4 165–4 175.(HU Zhifeng，CHEN Jian，QIU Yuefeng，et al. Analytical formula for ground settlement induced by horizontal movement of retaining wall[J]. Rock and Soil Mechanics，2018，39(11)：4 165–4 175.(in Chinese))
[12] 胡之锋，陈 健，邱岳峰，等. 一种黏土层中深基坑开挖地表沉降预测方法[J]. 长江科学院院报，2019，36(6)：60–67.(HU Zhifeng，CHEN Jian，QIU Yuefeng，et al. A simplified method for predicting ground surface settlement induced by deep excavation of clay stratum[J]. Journal of Yangtze River Scientific Research Institute，2019，36(6)：60–67.(in Chinese))
[13] 徐中华，王建华，王卫东. 上海地区深基坑工程中地下连续墙的变形性状[J]. 土木工程学报，2008，41(8)：81–86.(XU Zhonghua，WANG Jianhua，WANG Weidong. Deformation behavior of diaphragm walls in deep excavations in Shanghai[J]. China Civil Engineering Journal，2008，41(8)：81–86.(in Chinese))
[14] 蔡建鹏，黄茂松，钱建固，等. 基坑开挖对邻近地下管线影响分析的DCFEM法[J]. 地下空间与工程学报，2010，6(1)：120–124.(CAI Jianpeng，HUANG Maosong，QIAN Jiangu，et al. DCFEM method for analyzing the influence of deep excavation on adjacent underground pipelines[J]. Chinese Journal of Underground Space and Engineering，2010，6(1)：120–124.(in Chinese))
[15] 张陈蓉，俞 剑，黄茂松. 基坑开挖对邻近地下管线影响的变形控制标准[J]. 岩土力学，2012，33(7)：2 027–2 034.(ZHANG Chenrong，YU Jian，HUANG Maosong. Deformation controlling criterion of effect on underground pipelines due to foundation pit excavation[J]. Rock and Soil Mechanics，2012，33(7)：2 027–2 034.(in Chinese))
[16] 郑 刚，邓 旭，刘 畅，等. 不同围护结构变形模式对坑外深层土体位移场影响的对比分析[J]. 岩土工程学报，2014，36(2)：273–285.(ZHENG Gang，DENG Xu，LIU Chang，et al. Comparative analysis of influences of different deformation modes of retaining structures on displacement field of deep soils outside excavations[J]. Chinese Journal of Geotechnical Engineering，2014，36(2)：273–285. (in Chinese))
[17] 李 涛，杨依伟，周予启，等. 深基坑内支撑拆除时支护结构水平位移计算方法[J]. 岩石力学与工程学报，2022，41(增1)：3 021–3 032.(LI Tao，YANG Yiwei，ZHOU Yuqi，et al. Analytical solution of horizontal displacement of retaining structures in deep foundation pit during dismantling inner support[J]. Chinese Journal of Rock Mechanics and Engineering，2022，41(Supp.1)：3 021–3 032.(in Chinese))
[18] 易 顺，陈 健，潘家军，等. 内撑式基坑围护结构水平变形的表征函数研究[J]. 岩土力学，2024，45(增1)：568–578.(YI Shun，CHEN Jian，PAN Jiajun，et al. Study on characterization function of horizontal deformation for retaining wall of braced excavation[J]. Rock and Soil Mechanics，2024，45(Supp.1)：568–578.(in Chinese))
[19] 孙 慧，李从安，李 波，等. 基于离心机和数值模拟的深基坑开挖支护结构受力和变形研究[J]. 岩土工程学报，2024，46(增2)：114–118.(SUN Hui，LI Cong?an，LI Bo，et al. Stresses and deformations of support structures of deep foundation pit based on centrifuge and numerical simulation[J]. Chinese Journal of Geotechnical Engineering，2024，46(Supp.2)：114–118.(in Chinese))
[20] 中华人民共和国行业标准编写组. JGJ 120—2012 建筑基坑支护技术规程[S]. 北京：中国建筑工业出版社，2012.(The Professional Standards Compilation Group of People?s Republic of China. JGJ 120—2012 Technical specification for retaining and protection of building foundation excavations[S]. Beijing：China Architecture and Building Press，2012.(in Chinese))
[21] 中华人民共和国行业标准编写组. JGJ 167—2009湿陷性黄土地区建筑基坑工程安全技术规程[S]. 北京：中国建筑工业出版社，2009.(The Professional Standards Compilation Group of People?s Republic of China. JGJ 167—2009 Technical specifications for safe retaining and protection of building foundation excavation engineering in collapsible loess regions[S]. Beijing：China Architecture and Building Press，2009.(in Chinese))
[22] 吴意谦，朱彦鹏. 兰州市湿陷性黄土地区地铁车站深基坑变形规律监测与数值模拟研究[J]. 岩土工程学报，2014，36(增2)：404–411.(WU Yiqian，ZHU Yanpeng. Monitoring and numerical simulation of deformation law of deep foundation pit of subway station in Lanzhou collapsible loess[J]. Chinese Journal of Geotechnical Engineering，2014，36(Supp.2)：404–411.(in Chinese))
[23] 周 勇，叶炜钠，高 升. 兰州地铁某车站深基坑开挖变形特性分析[J]. 岩土工程学报，2018，40(增1)：141–146.(ZHOU Yong，YE Weina，GAO Sheng. Deformation characteristics of excavation of deep foundation pit at a metro station in Lanzhou[J]. Chinese Journal of Geotechnical Engineering，2018，40(Supp.1)：141–146.(in Chinese))
[24] 梅 源，胡长明，王雪艳，等. 西安地区湿陷性黄土地铁车站深基坑开挖引起的地表及基坑支护桩变形特性[J]. 中国铁道科学，2016，37(1)：9–16.(MEI Yuan，HU Changming，WANG Xueyan，et al. Deformation characteristics of ground surface and retaining pile induced by deep foundation pit excavation of subway station in collapsible loess of Xi?an area[J]. China Railway Science，2016，37(1)：9–16.(in Chinese))
[25] 梅 源，张苗苗，周东波，等. 西安湿陷性黄土地区狭长深基坑变形分析[J]. 重庆交通大学学报：自然科学版，2024，43(7)：17–25.(MEI Yuan，ZHANG Miaomiao，ZHOU Dongbo，et al. Long and narrow deep foundation pit deformation in Xi?an collapsible loess region[J]. Journal of Chongqing Jiaotong University：Natural Science，2024，43(7)：17–25.(in Chinese))
[26] 杨罗沙. 基于现场监测反馈分析的黄土地区超深基坑位移控制及工程应对措施研究[硕士学位论文][D]. 西安：西安建筑科技大学，2011.(YANG Luosha. The research of the displacement control and the engineering measures of the super deep loess foundation pit based on the monitoring and feedback analysis[M. S. Thesis]][D]. Xi?an：Xi?an University of Architecture and Technology，2011.(in Chinese))
[27] 李沙沙. 地铁施工期周围环境风险管理研究[硕士学位论文][D]. 西安：西安建筑科技大学，2011.(LI Shasha. Study on risk management of subway construction to surroundings environment[M. S. Thesis][D]. Xi?an：Xi?an University of Architecture and Technology，2011.(in Chinese))
[28] 周国华. 黄土地区地铁T形换乘站深基坑围护结构稳定性研究[硕士学位论文][D]. 长沙：湖南科技大学，2009.(ZHOU Guohua. Study on the stability of retaining structure in“T shape”interchange transition station foundation-pit in loess area[M. S. Thesis][D]. Changsha：Hunan University of Science and Technology，2009.(in Chinese))
[29] 刘均红. 西安地铁车站深基坑变形规律现场监测与FLAC模拟研究[硕士学位论文][D]. 西安：西安科技大学，2010.(LIU Junhong. In-situ monitoring and FLAC simulation study of deformation laws of deep excavation in metro station in Xi?an[M. S. Thesis][D]. Xi?an：Xi?an University of Science and Technology，2010.(in Chinese))
[30] 李永辉. 黄土深基坑施工监测分析与数值模拟[硕士学位论文][D]. 西安：西安建筑科技大学，2009.(LI Yonghui. The monitoring analysis and numerical simulation for loess deep foundation pit[M. S. Thesis][D]. Xi?an：Xi?an University of Architecture and Technology，2009.(in Chinese))
[31] 张 婷. 西安地铁韦曲南站深基坑变形规律现场监测研究[硕士学位论文][D]. 西安：西安科技大学，2013.(ZHANG Ting. Study of in-situ monitoring of deformation law of deep excavation in Weiqu south station of Xi?an subway line[M. S. Thesis][D]. Xi?an：Xi?an University of Science and Technology，2013. (in Chinese))
[32] 刘 杰. 黄土地区地铁车站基坑围护结构变形规律监测与数值模拟研究[硕士学位论文][D]. 西安：西安科技大学，2008.(LIU Jie. Study on the Deformation law of retaining structure in subway station foundation-pit in loess area with monitoring and numerical simulation[M. S. Thesis][D]. Xi?an：Xi?an University of Science and Technology，2008.(in Chinese))
[33] 成 娟. 西安地铁车站深基坑施工风险管理研究[硕士学位论文][D]. 西安：西安建筑科技大学，2011.(CHENG Juan. The risk management of deep excavation at subway station in Xi?an[M. S. Thesis][D]. Xi?an：Xi?an University of Architecture and Technology，2011.(in Chinese))
[34] 任建喜，张引合，张 琨，等. 西安地铁车站深基坑变形规律FLAC模拟研究[J]. 铁道工程学报，2011，28(3)：90–93.(REN Jianxi，ZHANG Yinhe，ZHANG Kun，et al. Research on the deformation law of deep foundation pit of metro station in Xi?an by FLAC simulation[J]. Journal of Railway Engineering Society，2011，28(3)：90–93.(in Chinese))
[35] 丰友山. 西安大雁塔车站基坑开挖稳定性的研究[硕士学位论文][D]. 石家庄：石家庄铁道大学，2016.(WEI Youshan. Study on the stability of the foundation of Xi'an Dayanta station excavation pit[M. S. Thesis][D]. Shijiazhuang：Shijiazhuang Tiedao University，2016.(in Chinese))
[36] 张慧文. 西安地铁深基坑支护结构设计及稳定性研究[硕士学位论文][D]. 西安：西安科技大学，2017.(ZHANG Huiwen. Researched on stability and supporting design of deep foundation in Xi?an metro[M. S. Thesis][D]. Xi?an：Xi?an University of Science And Technology，2017.(in Chinese))
[37] 郭 颖. 西安某地铁车站深基坑围护结构设计及变形规律研究[硕士学位论文][D]. 西安：西安科技大学，2014.(GUO Ying. The study of deformation laws of deep foundation pit and its design at a metro station in Xi?an[M. S. Thesis][D]. Xi?an：Xi?an University of Science And Technology，2014.(in Chinese))
[38] 侯小杰. 西安地铁深基坑支护方案优选[硕士学位论文][D]. 西安：西安建筑科技大学，2014.(HOU Xiaojie. Optimization of supporting schemes for deep foundation pit of Xi?an subway[M. S. Thesis][D]. Xi?an：Xi?an University of Architecture and Technology，2014.(in Chinese))
[39] 白 杨. 西安某地铁车站基坑变形监测及变形规律研究[硕士学位论文][D]. 西安：西安科技大学，2018.(BAI Yang. Research on deformation monitoring and deformation law of foundation pit in a subway station in Xi?an[M. S. Thesis][D]. Xi?an：Xi?an University of Science And Technology，2018.(in Chinese))
[40] 任建喜，谭牧凡. 黄土地区地铁车站深基坑变形规律[J]. 城市轨道交通研究，2021，24(8)：55–58.(REN Jianxi，TAN Mufan. Deformation pattern of deep foundation pit of metro station in loess area[J]. Urban Mass Transit，2021，24(8)：55–58.(in Chinese))
[41] 赵 鑫. 西安地铁体育中心站施工中深基坑稳定性研究[硕士学位论文][D]. 西安：西安工业大学，2019.(ZHAO Xin. Study on stability during construction of deep foundation pit for Ti Yu Zhong Xin Subway Station in Xi?an[M. S. Thesis][D]. Xi?an：Xi?an Technological University，2019.(in Chinese))
[42] 傅 震. 黄土地区地铁车站深基坑变形规律的分析[硕士学位论文][D]. 西安：长安大学，2014.(FU Zhen. The analysis of deformation law of deep excavation in a subway station in loess areas[M. S. Thesis][D]. Xi?an：Chang?an University，2014.(in Chinese))
[43] 王大军. 某地铁车站深基坑有限元模拟及现场监测分析[[硕士学位论文][D]. 西安：长安大学，2017.(WANG Dajun. Finite element simulation and field monitoring analysis of deep foundation pit of a subway station[M. S. Thesis][D]. Xi?an：Chang?an University，2017.(in Chinese))
[44] 刘建航，侯学渊. 基坑工程手册[M]. 北京：中国建筑工业出版社，1997：200–213.(LIU Jianhang，HOU Xueyuan. Excavation engineering handbook[M]. Beijing：China Architecture and Building Press，1997：200–213.(in Chinese))
[45] 陈仁朋，刘慕淳，孟凡衍，等. 基坑开挖旁侧盾构隧道结构横向受力与变形研究[J]. 岩土工程学报，2023，45(1)：24–32.(CHEN Renpeng，LIU Muchun，MENG Fanyan，et al. Circumferential forces and deformations of shield tunnels due to lateral excavation[J]. Chinese Journal of Geotechnical Engineering，2023，45(1)：24–32.(in Chinese))
[46] 杨 凯. 湿陷性黄土地区深基坑变形特性及预测研究[[硕士学位论文][D]. 西安：长安大学，2022.(YANG Kai. Study on deformation characteristics and prediction of deep excavation in collapsible loess area[M. S. Thesis][D]. Xi?an：Chang?an University，2022.(in Chinese))
[47] CLOUGH G W，SMITH E M，SWEENEY B P. Movement control of excavation support systems by iterative design[C]// Proceedings of Foundation Engineering：Current Principals and Practices，ASCE. New York：Geotechnical Special Publication，1989：869884.
[48] ADDENBROOKE T I. A flexibility number for the displacement controlled design of multi propped retaining walls[J]. Ground Engineering，1994，27(7)：41–45.
[49] 张 戈，毛海和. 软土地区深基坑围护结构综合刚度研究[J].岩土力学，2016，37(5)：1 467–1 474.(ZHANG Ge，MAO Haihe. A new system stiffness of retaining structure of deep foundation pit in soft soil area[J]. Rock and Soil Mechanics，2016，37(5)：1 467–1 474.(in Chinese))
[50] 严长江. 某高速铁路车站黄土深基坑开挖受力变形规律研究[硕士学位论文][D]. 兰州：兰州交通大学，2023.(YAN Changjiang. Study on excavation stress and deformation law of loess deep foundation pit in a high-speed railway station[M. S. Thesis][D]. Lanzhou：Lanzhou Jiaotong University，2023.(in Chinese))
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