强降雨影响下盾构隧道开挖面稳定性的三维对数螺旋模型上限解

doi:10.16285/j.rsm.2022.2002

岩土力学 ›› 2023, Vol. 44 ›› Issue (12): 3587-3601.doi: 10.16285/j.rsm.2022.2002

强降雨影响下盾构隧道开挖面稳定性的三维对数螺旋模型上限解

张治国^{1, 2, 3, 4, 5}，罗杰¹，朱正国²，PAN Y T³，孙苗苗^{4, 5}

1. 上海理工大学环境与建筑学院，上海 200093；2. 石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室，河北石家庄 050043；3. 新加坡国立大学土木与环境工程系，新加坡 119077；4. 浙大城市学院土木工程系，浙江杭州 310015； 5. 城市基础设施智能化浙江省工程研究中心，浙江杭州 310015

收稿日期:2022-12-28 接受日期:2023-04-21 出版日期:2023-12-20 发布日期:2023-12-21
作者简介:张治国，男，1978年生，博士，博士后，教授，博士生导师，主要从事地下工程等方面的研究工作。
基金资助:
国家自然科学基金（No.42177145）；省部共建交通工程结构力学行为与系统安全国家重点实验室开放课题（No.KF2022-07）；城市基础设施智能化浙江省工程研究中心开放课题（No.IUI2022-YB-01）。

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

ZHANG Zhi-guo^{1, 2, 3, 4, 5}, LUO Jie¹, ZHU Zheng-guo², PAN Y T³, SUN Miao-miao^{4, 5}

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).

摘要/Abstract

摘要：

目前针对盾构隧道开挖面稳定性的既有成果，还较少考虑降雨环境和地下水位的影响，尤其是强降雨入渗带来的土工影响。首先，基于分层假定Green-Ampt模型来模拟强降雨入渗过程；其次，在土体抗剪强度理论和有效应力理论的基础上，将修正后的Mohr-Coulomb准则和Darcy定律结合，推导出与降雨强度和降雨历时相关的分段形式表观黏聚力表达式；然后，基于极限分析上限理论构建三维对数螺旋破坏机制，将表观黏聚力做功引入上限定理的虚功率方程，通过优化计算，得到考虑强降雨入渗和地下水位条件下盾构隧道开挖面支护力的上限解。最后，将上限解析解与三维数值模拟结果及既有试验结果进行对比，得到了较好的一致性。此外，针对降雨强度和地下水位深度等关键参数进行了影响因素分析。结果表明：当降雨强度较小时（F/k_s≤1，F为平均降雨强度，k_s为饱和渗透系数），隧道开挖面极限支护力随降雨强度的增大而加速增大，随降雨历时的变化不明显，当降雨强度较大时（F/k_s＞1），极限支护力随降雨强度的增大而缓慢增大，随降雨历时的增加而显著增大；当地下水位深度较小时（Z_w/D≤3，Z_w为地下水位深度，D为开挖直径），极限支护力随地下水位深度的增加线性减小，当地下水位深度较大时（Z_w/D＞3），其变化速率逐渐减小，最后趋于平稳。

关键词: 强降雨, 盾构隧道开挖面, Green-Ampt模型, 三维对数螺旋, 上限定理

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/k_s≤1, where F is the mean rainfall intensity, and k_s 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/k_s>1); the ultimate supporting force of tunnel excavation face decreases linearly when the normalized groundwater table depth is small (Z_w/D≤3, where Z_w 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 (Z_w/D>3).

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

中图分类号:

U45，TU457

张治国, 罗杰, 朱正国, PAN Y T, 孙苗苗, . 强降雨影响下盾构隧道开挖面稳定性的三维对数螺旋模型上限解[J]. 岩土力学, 2023, 44(12): 3587-3601.

ZHANG Zhi-guo, LUO Jie, ZHU Zheng-guo, PAN Y T, SUN Miao-miao, . Upper limit solution for 3D logarithmic spiral model of stability on shield tunnel face under influence of heavy rainfall[J]. Rock and Soil Mechanics, 2023, 44(12): 3587-3601.

参考文献

相关文章 15

[1]	张治国, 毛敏东, 王卫东, PAN Y T, 吴钟腾, . 降雨影响下基坑开挖施工对邻近基桩变形响应分析[J]. 岩土力学, 2023, 44(增刊): 27-49.
[2]	张治国, 毛敏东, 朱正国, 赵其华, 吴钟腾, . 间歇性强降雨诱发滑坡对抗滑桩非线性力学响应分析[J]. 岩土力学, 2023, 44(7): 2073-2094.
[3]	李强, 贾森, 李鑫, 武璧泽, 尚艳亮, 董俊, . 考虑非饱和浸润区的改进Green-Ampt模型[J]. 岩土力学, 2022, 43(12): 3484-3492.
[4]	蔡征龙, 孟永东, 秦毅, 陈博夫, 田斌, . 基于改进Green-Ampt模型的滑坡稳定时变可靠度分析[J]. 岩土力学, 2022, 43(1): 268-276.
[5]	刘克奇, 丁万涛, 陈瑞, 侯铭垒, . 盾构掌子面三维破坏模型构建与极限支护力计算[J]. 岩土力学, 2020, 41(7): 2293-2303.
[6]	温馨, 胡志平, 张勋, 柴少波, 吕新波, . 基于Green-Ampt模型的饱和−非饱和黄土入渗改进模型及其参数研究[J]. 岩土力学, 2020, 41(6): 1991-2000.
[7]	于丽, 吕城, 段儒禹, 王明年, . 考虑孔隙水压力及非线性Mohr-Coulomb破坏准则下浅埋土质隧道三维塌落机制的上限分析[J]. 岩土力学, 2020, 41(1): 194-204.
[8]	江强强, 焦玉勇, 宋亮, 王浩, 谢壁婷, . 降雨和库水位联合作用下库岸滑坡模型试验研究[J]. 岩土力学, 2019, 40(11): 4361-4370.
[9]	张晓曦, 何思明, 樊晓一, . L型挡土墙滑裂面确定方法与地震稳定性分析[J]. 岩土力学, 2019, 40(10): 4011-4020.
[10]	蒋泽锋，朱大勇,. 强降雨条件下具有张裂缝边坡临界滑动场[J]. , 2016, 37(S2): 25-34.
[11]	张洁，吕特，薛建锋，郑文棠,. 适用于斜坡降雨入渗分析的修正Green-Ampt模型[J]. , 2016, 37(9): 2451-2457.
[12]	豆红强，韩同春，龚晓南，李智宁，邱子义,. 降雨条件下考虑饱和渗透系数变异性的边坡可靠度分析[J]. , 2016, 37(4): 1144-1152.
[13]	汪丁建，唐辉明，李长冬，葛云峰，易贤龙. 强降雨作用下堆积层滑坡稳定性分析[J]. , 2016, 37(2): 439-445.
[14]	覃小华，刘东升，宋强辉，王旭，吴润泽，辛建平, . 强降雨条件下基岩型层状边坡入渗模型及稳定性研究[J]. , 2016, 37(11): 3156-3164.
[15]	冯利坡，郑永来，邓树新，李文峋，. 深埋盾构隧道开挖面三维对数螺旋破坏模式的上限分析[J]. , 2015, 36(7): 2105-2110.

Metrics

Viewed

Full text

Abstract

Cited

Shared

Discussed

强降雨影响下盾构隧道开挖面稳定性的三维对数螺旋模型上限解

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

PDF (Chinese)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

Metrics

本文评价

推荐阅读 10