Rock and Soil Mechanics ›› 2023, Vol. 44 ›› Issue (12): 3587-3601.doi: 10.16285/j.rsm.2022.2002

• Numerical Analysis • Previous Articles     Next Articles

Upper limit solution for 3D logarithmic spiral model of stability on shield tunnel face under influence of heavy rainfall

ZHANG Zhi-guo1, 2, 3, 4, 5, LUO Jie1, ZHU Zheng-guo2, PAN Y T3, SUN Miao-miao4, 5   

  1. 1. School of Environment and Architecture, University of Shanghai for Science and Technology, Shanghai 200093, China; 2. State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, Hebei 050043, China; 3. Department of Civil and Environmental Engineering, National University of Singapore, Singapore 119077; 4. Department of Civil Engineering, Zhejiang University City College, Hangzhou, Zhejiang 310015, China; 5. Zhejiang Engineering Research Center of Intelligent Urban Infrastructure, Hangzhou, Zhejiang 310015, China
  • Received:2022-12-28 Accepted:2023-04-21 Online:2023-12-20 Published:2023-12-21
  • Supported by:
    This work was supported by the National Natural Science Foundation of China(42177145), the Opening Fund of State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures(KF2022-07) and the Opening Fund of Zhejiang Engineering Research Center of Intelligent Urban Infrastructure(IUI2022-YB-01).

PDF (Chinese)

132

Abstract:

 The existing theoretical studies on the stability of shield tunnel excavation face have not taken into account the effects of rainfall environment and groundwater level, especially the geotechnical effects induced by heavy rainfall infiltration. Firstly, a layered hypothetical Green-Ampt model is used to simulate the heavy rainfall infiltration process. Secondly, on the basis of the shear strength theory and the soil effective stress theory, the modified Mohr-Coulomb criterion and the Darcy’s law are combined to derive the apparent cohesion expression in segmental form related to rainfall intensity and duration, and then, based on the upper bound theory of limit analysis, a three-dimensional (3D) logarithmic spiral failure mechanism is constructed, and the work done by apparent cohesion is introduced into the virtual power equation of upper bound theorem, the upper limit solution of the support force of shield tunnel excavation face is obtained under the conditions of heavy rainfall infiltration and groundwater level through optimization calculation. Finally, the theoretical upper bound solution is compared with the 3D numerical results and existing experimental results, and a good agreement is obtained. In addition, the key parameters such as rainfall intensity and water table depth are analyzed. The results show that when the rainfall intensity is small (F/ks≤1, where F is the mean rainfall intensity, and ks is the saturated infiltration coefficient), the ultimate supporting force of tunnel excavation face accelerates with the increase of rainfall intensity, but has no obvious change with rainfall duration; the ultimate supporting force increases slowly with the increase of rainfall intensity, but significantly with the increase of rainfall duration when the rainfall intensity is large (F/ks>1); the ultimate supporting force of tunnel excavation face decreases linearly when the normalized groundwater table depth is small (Zw/D≤3, where Zw is the depth of groundwater level, and D is the excavation diameter); and the rate of change gradually decreases and finally becomes stable when the normalized groundwater table depth is large (Zw/D>3).

Key words: heavy rainfall, shield tunnel excavation surface, Green-Ampt model, 3D logarithmic spiral, upper bound theorem

CLC Number: 

  • U45，TU457
[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 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.
[3] LI Qiang, JIA Sen, LI Xin, WU Bi-ze, SHANG Yan-liang, DONG Jun, . An improved Green-Ampt model considering unsaturated infiltration zone [J]. Rock and Soil Mechanics, 2022, 43(12): 3484-3492.
[4] CAI Zheng-long, MENG Yong-dong, QIN Yi, CHEN Bo-fu, TIAN Bin, . Time-varying reliability of landslide stability based on improved Green-Ampt model [J]. Rock and Soil Mechanics, 2022, 43(1): 268-276.
[5] GUO Zhi-hui, JIAN Wen-bin, LIU Qing-ling, NIE Wen. Rainfall infiltration analysis and infiltration model of slope based on in-situ tests [J]. Rock and Soil Mechanics, 2021, 42(6): 1635-1647.
[6] LIU Ke-qi, DING Wan-tao, CHEN Rui, HOU Ming-lei. Construction of three-dimensional failure model of shield tunnel face and calculation of the limit supporting force [J]. Rock and Soil Mechanics, 2020, 41(7): 2293-2303.
[7] WEN Xin, HU Zhi-ping, ZHANG Xun, CHAI Shao-bo, LÜ Xin-bo, . Modified infiltration model for saturated-unsaturated loess based on Green-Ampt model and its parametric study [J]. Rock and Soil Mechanics, 2020, 41(6): 1991-2000.
[8] SU Yong-hua, LI Cheng-cheng. Stability analysis of slope based on Green-Ampt model under heavy rainfall [J]. Rock and Soil Mechanics, 2020, 41(2): 389-398.
[9] JIANG Qiang-qiang, JIAO Yu-yong, SONG Liang, WANG Hao, XIE Bi-ting, . Experimental study on reservoir landslide under rainfall and water-level fluctuation [J]. Rock and Soil Mechanics, 2019, 40(11): 4361-4370.
[10] ZHANG Xiao-xi, HE Si-ming, FAN Xiao-yi, . Seismic stability of L-shape retaining walls and determination method of sliding surface [J]. Rock and Soil Mechanics, 2019, 40(10): 4011-4020.
[11] JIANG Bei, LI Shu-cai, WANG Qi, WANG Fu-qi, ZHANG Ruo-xiang, . Design method of roof anchor cable for deep large section mining roadways based on the upper bound method [J]. , 2017, 38(8): 2351-2354.
[12] ZHANG Jie, Lü Te, XUE Jian-feng, ZHENG Wen-tang,. Modified Green-Ampt model for analyzing rainfall infiltration in slopes [J]. , 2016, 37(9): 2451-2457.
[13] DOU Hong-qiang ，HAN Tong-chun ，GONG Xiao-nan ，LI Zhi-ning，QIU Zi-yi,. Reliability analysis of slope stability considering variability of soil saturated hydraulic conductivity under rainfall infiltration [J]. , 2016, 37(4): 1144-1152.
[14] WANG Ding-jian, TANG Hui-ming, LI Chang-dong, GE Yun-feng, YI Xian-long. Stability analysis of colluvial landslide due to heavy rainfall [J]. , 2016, 37(2): 439-445.
[15] QIN Xiao-hua, LIU Dong-sheng, SONG Qiang-hui, WANG Xu, , . Infiltration model of bedrock laminar slope under heavy rainfall and its stability analysis [J]. , 2016, 37(11): 3156-3164.
Viewed
Full text


Abstract

Cited
  Shared   
  Discussed   
[1] XU Su-chao, FENG Xia-ting, CHEN Bing-rui. Experimental study of skarn under uniaxial cyclic loading and unloading test and acoustic emission characteristics[J]. , 2009, 30(10): 2929 -2934 .
[2] YOU Hong-bing, ZHAO Feng-xin, LI Fang-jie. Scattering of P waves by a local nonhomogeneous body in a layered half-space[J]. , 2009, 30(10): 3133 -3138 .
[3] WU Shi-yu, YU Jin-huang. Additional length of seepage path of upstream slope of dams and levees on impervious strata[J]. , 2009, 30(10): 3151 -3153 .
[4] JIANG Xiao-wei, WAN Li, WANG Xu-sheng, WU Xiong, CHENG Hui-hong. Estimation of depth-dependent hydraulic conductivity and deformation modulus using RQD[J]. , 2009, 30(10): 3163 -3167 .
[5] ZHAO Cheng-gang，CAI Guo-qing. Principle of generalized effective stress for unsaturated soils[J]. , 2009, 30(11): 3232 -3236 .
[6] ZHU Zhen-de，LI Dao-wei，JIANG Zhi-jian，LIU Jin-hui，YANG Yong-jie. Quantitative description of deep tunnel surrounding rocks’ mesostructure under circulating action of temperature[J]. , 2009, 30(11): 3237 -3241 .
[7] SUN Wen-jing，SUN De-an，MENG De-lin. Compression deformation characteristics of saturated bentonite and sand-bentonite mixtures[J]. , 2009, 30(11): 3249 -3255 .
[8] KONG Wei-xue，RUI Yong-qin，DONG Bao-di. Determination of dilatancy angle for geomaterials under non-associated flow rule[J]. , 2009, 30(11): 3278 -3282 .
[9] NI Xiao-hui，ZHU Zhen-de，ZHAO Jie，LI Dao-wei，FENG Xia-ting. Meso-damage mechanical digitalization test of complete process of rock failure[J]. , 2009, 30(11): 3283 -3290 .
[10] CHEN Shan-xiong，FENG Mei-guo，XU Xi-chang，CHEN Shou-yi. Study of instability process and failure mechanism of ash storage dam in a power plant[J]. , 2009, 30(11): 3365 -3371 .
Copyright © Rock and Soil Mechanics, All Rights Reserved.
Tel: 027-87198484, 87199252, 87199253, 87198752　E-mail: ytlx@whrsm.ac.cn
Powered by Beijing Magtech Co. Ltd