考虑非稳态渗流影响的深埋隧道弹塑性解

林贤哲; 陈有亮; 刘耕云; 李溢; 拉菲格·阿扎姆; 陈奇键

doi:10.3724/j.gyjzG23010205

考虑非稳态渗流影响的深埋隧道弹塑性解

doi: 10.3724/j.gyjzG23010205

1. 上海理工大学土木工程系, 上海 200093;
2. 亚琛工业大学工程地质与水文地质系, 亚琛 52064;
3. 同济大学地下建筑与工程系, 上海 200092

基金项目:

上海市科委资助项目（23ZR1443600）；中国科技部资助项目（G2023013021L）；国家自然科学基金项目（42107168）。

详细信息

作者简介:
林贤哲，硕士研究生，203649037@st.usst.edu.cn。

通讯作者:
陈有亮，博士，教授，博士生导师，chenyouliang2001@163.com。

计量
- 文章访问数: 59
- HTML全文浏览量: 10
- PDF下载量: 2
- 被引次数: 0
出版历程
- 收稿日期: 2023-01-02
- 网络出版日期: 2025-06-07
- 刊出日期: 2025-04-01

Elastoplastic Solutions for Deep-Buried Tunnels Considering the Effect of Unsteady Seepage

1. Department of Civil Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China;
2. Department of Engineering Geology and Hydrogeology, RWTH Aachen University, Aachen 52064, Germany;
3. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China

摘要

摘要: 为研究在非稳态渗流条件下的深埋水工隧道围岩开挖力学响应，基于Mohr-Coulomb强度准则，推导了考虑非稳态渗流和剪胀效应的深埋水工隧洞弹塑性解。采用分离变量法和Bessel函数理论，推导了隧洞开挖引起的非稳态渗流场水头分布解析解。由参数敏感性分析得知：与稳态渗流场相比，非稳态渗流场对围岩稳定性具有显著的影响，即塑性区扩大时，松动圈厚度和围岩塑性区变形增大；非稳态渗流对围岩塑性区变形的影响不可忽视，尤其在相同剪胀角条件下，洞壁处径向位移远大于稳态渗流引起的洞壁位移。
- 深埋隧道 /
- 非稳态渗流 /
- 剪胀 /
- 弹塑性解 /
- 应力场 /
- 位移场
Abstract: The analytical research on the hydro-mechanical coupling behavior of deep-buried hydraulic tunnels has been mainly concentrated on the mechanical response under steady seepage， but the influence of unsteady seepage has not been considered yet. In this paper， an elastoplastic solution considering unsteady seepage and dilatancy of rocks was derived based on the Mohr-Coulomb criterion， thereafter， the analytical solution of the unsteady seepage field around deep-buried tunnels was derived using the method of separation of variables and Bessel function theory. A parametric sensitivity analysis was conducted to investigate the impact factors of stress and displacement fields. The results showed that compared with the steady seepage field， the unsteady seepage field greatly affected the stability of surrounding rocks， that is to say， the plastic zone and loose zone were enlarged and the deformation of surrounding rock increased. In particular， the effect of dilatancy angle on the deformation of surrounding rock could not be negligible. When the unsteady seepage field was considered， the radial displacement on the tunnel wall was greater than that under steady seepage and same dilatancy angle.
- deep-buried tunnel /
- unsteady seepage /
- dilatancy /
- elastoplastic solution /
- stress field /
- displacement field

HTML全文

参考文献(27)

[1]	赵健. 深埋水工隧洞外水压力作用原理及设计方法［J］. 工程技术研究，2021，6（21）:223-224.
[2]	ZHANG Q，SHAO C，WANG H Y，et al. A fully coupled hydraulic-mechanical solution of a circular tunnel in strain-softening rock masses［J］. Tunnelling and Underground Space Technology，2020，99，103375.
[3]	任青文，邱颖. 具有衬砌圆形隧洞的弹塑性解［J］. 工程力学，2005（2）:212-217.
[4]	侯公羽，牛晓松. 基于Levy-Mises本构关系及D-P屈服准则的轴对称圆巷理想弹塑性解［J］. 岩土力学，2009，30（6）:1555-1562.
[5]	侯公羽，牛晓松. 基于Levy-Mises本构关系及Hoek-Brown屈服准则的轴对称圆巷理想弹塑性解［J］. 岩石力学与工程学报，2010，29（4）:765-777.
[6]	余东明，姚海林，卢正，等. 考虑中间主应力的横观各向同性深埋圆隧弹塑性解［J］. 岩土工程学报，2012，34（10）:1850-1857.
[7]	曾开华，鞠海燕，盛国君，等. 巷道围岩弹塑性解析解及工程应用［J］. 煤炭学报，2011，36（5）:752-755.
[8]	李宗利，任青文，王亚红. 考虑渗流场影响深埋圆形隧洞的弹塑性解［J］. 岩石力学与工程学报，2004（8）:1291-1295.
[9]	刘成学，杨林德，李鹏. 考虑应力重分布的深埋圆形透水隧洞弹塑性解［J］. 工程力学，2009，26（2）:16-20.
[10]	欧阳宇峰，刘成学. 基于Hoke-Brown准则的深埋圆形透水隧洞弹塑性分析［J］. 地下空间与工程学报，2019，15（5）:1410-1416.
[11]	王睢，钟祖良，刘新荣. 基于D-P屈服准则考虑渗流影响的深埋有压圆形隧洞弹塑性解［J］. 现代隧道技术，2019，56（1）:39-46.
[12]	程长清，杨自友，殷海波，等. 有压隧洞围岩最小覆盖层厚度弹塑性力学分析［J］. 地下空间与工程学报，2021，17（2）:413-420.
[13]	杨自友，程长清，孙天宇，等. 多因素影响下水工隧洞最小覆盖层厚度力学分析［J］. 重庆交通大学学报（自然科学版），2022，41（2）:95-101.
[14]	SMITH L. Heat flow in an infinite solid bounded internally by a cylinder［J］. Journal of Applied Physics，1937，8:441-448.
[15]	JACOB C，LOHMAN S. Nonsteady flow to a well of constant drawdown in an extensive aquifer［J］. Transactions，1952，33（4）:559-569.
[16]	PERROCHET P. A simple solution to tunnel or well discharge under constant drawdown［J］. Hydrogeology Journal，2004，13:886-888.
[17]	MARÉCHAL J C，PERROCHET P. New analytical solution for the study of hydraulic interaction between Alpine tunnels and groundwater［J］. Bulletin de la Société Géologique de France，2003，174:441-448.
[18]	XU Q，CHEN J T，XIAO M. Analysis of unsteady seepage field and surrounding rock stability of underground cavern excavation［J］. Tunnelling and Underground Space Technology，2020，97，103239.
[19]	ZAREIFARD M R，FAHIMIFAR A. Elastic-brittle-plastic analysis of circular deep underwater cavities in a mohr-coulomb rock mass considering seepage forces［J］. International Journal of Geomechanics，2015，15（5），04014077.
[20]	任青文，张宏朝. 关于芬纳公式的修正［J］. 河海大学学报（自然科学版），2001（6）:109-111.
[21]	CAO Y，JIANG J，XIE K H，et al. Analytical solutions for nonlinear consolidation of soft soil around a shield tunnel with idealized sealing linings［J］. Computers and Geotechnics，2014，61:144-152.
[22]	HWANG J H，LU C C. A semi-analytical method for analyzing the tunnel water inflow［J］. Tunnelling and Underground Space Technology，2007，22（1）:39-46.
[23]	SAHIN A，CIFTCI E. An area matching process to estimate the hydraulic parameters using transient constant-head test data［J］. Hydrology Research，2016，47（5）:919-931.
[24]	GUO Y F，WANG H N，JIANG M J. Efficient iterative analytical model for underground seepage around multiple tunnels in semi-infinite saturated media［J］. Journal of Engineering Mechanics，2021，147（11），04021101.
[25]	王立杰，耿帅，尹爱民，等. 复杂矽卡岩巷道锚杆支护参数优化研究［J］. 金属矿山，2022（4）:60-65.
[26]	董方庭，宋宏伟，郭志宏，等. 巷道围岩松动圈支护理论［J］. 煤炭学报，1994，19（1）:21-32.
[27]	ZHANG B Q，CHEN F Q，WANG Q Y. Elastoplastic solutions for surrounding rock masses of deep-buried circular tunnels with non-Darcian flow［J］. International Journal of Geomechanics，2019，19（7），04019065.