Rock and Soil Mechanics ›› 2023, Vol. 44 ›› Issue (11): 3241-3251.doi: 10.16285/j.rsm.2022.1961

• Fundamental Theroy and Experimental Research • Previous Articles     Next Articles

Analytical solution of deformation of underlying shield tunnel caused by foundation pit excavation and dewatering

GUAN Ling-xiao1, 2, 3, XU Chang-jie1, 2, 3, WANG Xue-peng1, 2, 3, XIA Xue-qin1, 2, 3, KE Wen-hai1, 2, 3   

  1. 1. State Key Laboratory of Performance Monitoring Protecting of Rail Transit Infrastructure, East China Jiaotong University, Nanchang, Jiangxi 330013, China; 2. Engineering Research & Development Centre for Underground Technology of Jiangxi Province, East China Jiaotong University, Nanchang, Jiangxi 330013, China;3. Jiangxi Key Laboratory of Infrastructure Safety Control in Geotechnical Engineering, East China Jiaotong University, Nanchang, Jiangxi 330013, China
  • Received:2022-12-16 Accepted:2023-04-11 Online:2023-11-28 Published:2023-11-29
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (52238009), the Natural Science Foundation of Jiangxi Province (20224BAB214068) and the Innovation Fund for Postgraduate of Jiangxi Province (YC2021-S433).

Abstract: The foundation pit excavation and dewatering break the equilibrium stress field of the surrounding soil layer and negatively affect the underlying shield tunnel. The analytical solution of the longitudinal deformation of the underlying tunnel caused by foundation pit excavation and dewatering is proposed using a two-stage analysis method. In the first stage, Mindlin elastic solution and effective stress principle are used to calculate the additional stress caused by excavation and dewatering. In the second stage, the shield tunnel is treated as a Timoshenko beam resting on the Pasternak foundation to simulate the interaction between the tunnel and soil. The analytical solution of the longitudinal tunnel deformation is derived from the superposition method. By comparing with the monitoring data of engineering examples, the correctness of the proposed method is verified, and the influence of the excavation length, width, depth, tunnel burial depth, dropdown, and relative position of the foundation pit on the longitudinal displacement of the tunnel is further analyzed. The results show that with the increase of excavation length, width, and depth, the maximum uplift of the tunnel increases. The tunnel deformation decreases with the increase in tunnel burial depth. With the increase of the dropdown, the uplift decreases, and the settlement value increases. With the increased distance between the tunnel axis and the foundation pit center, there are a decreasing area of the uplift, an increasing area of the settlement, and a decreasing area of settlement.

Key words: foundation pit excavation, foundation pit dewatering, underlying shield tunnel, shear deformation, Timoshenko beam, Pasternak foundation

CLC Number: 

  • TU 46+3
[1] ZHANG Zhi-guo, MAO Min-dong, WANG Wei-dong, PAN Y T, WU Zhong-teng, . Deformation response of adjacent pile induced by foundation pit excavation under the influence of rainfall [J]. Rock and Soil Mechanics, 2023, 44(增刊): 27-49.
[2] ZHANG Kun-yong, ZHANG Meng, SUN Bin, LI Fu-dong, JIAN Yong-zhou, . A calculation method for deformation of diaphragm wall of narrow deep foundation pit in soft soil considering spatio-temporal effect [J]. Rock and Soil Mechanics, 2023, 44(8): 2389-2399.
[3] ZHANG Zhi-guo, MAO Min-dong, ZHU Zheng-guo, ZHAN Qi-hua, WU Zhong-teng, . Analysis of nonlinear mechanical response of anti-slide pile induced by landslides with intermittent heavy rainfall [J]. Rock and Soil Mechanics, 2023, 44(7): 2073-2094.
[4] WANG Rui-song, GUO Cheng-chao, LIN Pei-yuan, WANG Fu-ming, . Excavation response analysis of prefabricated recyclable support structure for water-rich silt foundation pit [J]. Rock and Soil Mechanics, 2023, 44(3): 843-853.
[5] WANG Zu-xian, SHI Cheng-hua, GONG Chen-jie, CAO Cheng-yong, LIU Jian-wen, PENG Zhu, . Analytical method to estimate the influence of foundation pit excavation adjacent to the station (working shaft) on the underlying shield tunnel [J]. Rock and Soil Mechanics, 2022, 43(8): 2176-2190.
[6] CHENG Tan, GUO Bao-hua, SUN Jie-hao, TIAN Shi-xuan, SUN Chong-xuan, CHEN Yan, . Establishment of constitutive relation of shear deformation for irregular joints in sandstone [J]. Rock and Soil Mechanics, 2022, 43(1): 51-64.
[7] ZHOU Huan-zhu, KOU Xiao-qiang, WANG Yan-ning, . Vertical displacement calculation of immersed tube tunnel under tidal load [J]. Rock and Soil Mechanics, 2021, 42(10): 2785-2794.
[8] XU Ri-qing, CHENG Kang, YING Hong-wei, LIN Cun-gang, LIANG Rong-zhu, FENG Su-yang, . Deformation response of a tunnel under foundation pit unloading considering buried depth and shearing effect [J]. Rock and Soil Mechanics, 2020, 41(S1): 195-207.
[9] ZENG Chao-feng, XUE Xiu-li, SONG Wei-wei, LI Miao-kun, BAI Ning. Mechanism of foundation pit deformation caused by dewatering before soil excavation: an experimental study [J]. Rock and Soil Mechanics, 2020, 41(9): 2963-2972.
[10] WANG Guo-hui, CHEN Wen-hua, NIE Qing-ke, CHEN Jun-hong, FAN Hui-hong, ZHANG Chuan, . Impacts of pit excavation on foundation piles in deep silty soil by centrifugal model tests [J]. Rock and Soil Mechanics, 2020, 41(2): 399-407.
[11] ZHENG Gang, LI Qing-han, HA Da, CHENG Xue-song, . Study of stress state and settlement induced by pressure relief of confined aquifers in Tianjin [J]. Rock and Soil Mechanics, 2018, 39(S2): 285-294.
[12] XIE Tao, LUO Qiang, ZHANG Liang, LIAN Ji-feng, YU Yue-ming, . Calculation of wall displacement to reach active or passive earth pressure state [J]. , 2018, 39(5): 1682-1690.
[13] ZHOU Ze-lin, CHEN Shou-gen, TU Peng, ZHANG Hai-sheng, . Coupling method for analyzing the influence on existing tunnel due to adjacent foundations pit excavation [J]. , 2018, 39(4): 1440-1449.
[14] DONG Tong, ZHENG Ying-ren, KONG Liang, ZHE Mei,. Nonlinear elastic model of soils considering principal stress direction [J]. , 2017, 38(5): 1373-1378.
[15] JIA Fu-zi, WANG Li-feng, LU Wu-quan, YANG Kai-fang. Influence of foundation pit excavation on adjacent metro station and tunnel [J]. , 2016, 37(S2): 673-678.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] GONG Wei-li, AN Li-qian, ZHAO Hai-yan, MAO Ling-tao. Multiple scale characterization of CT image for coal rock fractures based on image description[J]. , 2010, 31(2): 371 -376 .
[2] XIONG Wei, ZHOU Zeng-hui, YU Kai-biao, WU Ya-ping, LUO Wei. Concrete ultrasonic tomography imaging and improvement based on curved path[J]. , 2011, 32(2): 629 -634 .
[3] WANG Guang-jin,YANG Chun-he ,ZHANG Chao,MA Hong-ling,KONG Xiang-yun ,HO. Research on particle size grading and slope stability analysis of super-high dumping site[J]. , 2011, 32(3): 905 -913 .
[4] WANG Zai-quan,ZHANG Li-ming,SUN Hui,ZHANG Ying-hui,KUANG Shun-yong. Experimental study of mechanical properties of limestone under different unloading velocities[J]. , 2011, 32(4): 1045 -1050 .
[5] LI Min,CHAI Shou-xi,WANG Xiao-yan,WEI Li. Examination of reinforcement effect on basis of strength increment of reinforced saline soil with wheat straw and lime[J]. , 2011, 32(4): 1051 -1056 .
[6] YANG Xiao, CAI Xue-qiong. Vertical vibration of pile in saturated viscoelastic soil layer considering transversal effects[J]. , 2011, 32(6): 1857 -1863 .
[7] HU Xiang-qian , JIAO Zhi-bin , LI Yun-hui. Distribution and dissipation laws of excess static pore water pressures induced by pile driving in saturated soft clay with driven plastic drainage plates[J]. , 2011, 32(12): 3733 -3737 .
[8] LI Ning , XU Jian-cong , QIN Ya-zhou . Research on calculation model for stability evaluation of rainfall-induced shallow landslides[J]. , 2012, 33(5): 1485 -1490 .
[9] CHEN Xi , YU Yu-zhen , CHENG Yong-gang . Under-relaxation methods for numerical solution of Richards equation of variably saturated flow[J]. , 2012, 33(S1): 237 -243 .
[10] DENG Jian-hui, WEI Jin-bin, MIN Hong . 3D stability analysis of landslides based on strength reduction (I): Back analysis for the shear strength of slip soils[J]. , 2003, 24(6): 896 -900 .