考虑土拱发挥过程的非饱和砂土盾构隧道极限支护力计算方法研究

崔蓬勃; 朱永全; 刘勇; 王庆磊; 潘英东

doi:10.11779/CJGE202005009

考虑土拱发挥过程的非饱和砂土盾构隧道极限支护力计算方法研究 English Version

崔蓬勃^{1, 2,},
朱永全^1, ,,
刘勇¹,
王庆磊^{1, 2},
潘英东³

1.
石家庄铁道大学土木工程学院,河北　石家庄　050043
2.
江苏建筑职业技术学院,江苏　徐州　221116
3.
西南交通大学,四川　成都　610031

基金项目:

国家自然科学基金面上项目 51778380

江苏省住建系统科技项目 2017ZD045

河北省交通工程结构力学行为演变与控制重点实验室开放课题项目 902508867H18002

江苏建筑职业技术学院科技课题 JYA318-05

详细信息

作者简介:
崔蓬勃(1986—),男,博士研究生,讲师,主要从事隧道与地下工程方面教学和科研。E-mail: 281808723@qq.com

通讯作者:
朱永全, E-mail: 2217766232@qq.com

中图分类号: TU43
计量
- 文章访问数: 0181
- HTML全文浏览量: 0
- PDF下载量: 0214
出版历程
- 收稿日期: 2019-04-21
- 网络出版日期: 2022-12-07
- 刊出日期: 2020-04-30

Calculation of ultimate supporting forces of shield tunnels in unsaturated sandy soils considering soil arching effects

1.
School of Civil Engineering, Shijiazhuang Rail University, Shijiazhuang 050043, China
2.
Jiangsu Vocational Institute of Architectural Technology, Xuzhou 221116, China
3.
School of Civil Engineering, Southwest Jiaotong University, Chengdu 610031, China

摘要

摘要: 因施工中受注浆及掘进参数影响,地层损失引起的土拱效应逐渐发挥,滑面上剪应力逐渐增大至抗剪强度,同时应考虑表观黏聚力对剪应力的贡献作用,而Terzaghi公式并不能体现这些因素。针对该问题,基于主应力偏转理论,推导了非饱和砂土不同位置的侧压力系数公式,结合表观黏聚力公式和试验数据,得到与基质吸力相关的分段形式的表观黏聚力表达式,进而推导出不同土拱效应发挥程度下的松动土压力及盾构极限支护力的计算公式。算例结果表明同一埋深下,不同饱和度土层中拱顶处松动土压力随土拱效应发挥而逐渐减小且均远小于自重应力。随着含水率的增大松动土压力存在一个阈值；不同土拱效应发挥程度下,埋深越大,不同饱和度地层拱顶处松动土压力趋向不同的定值；盾构极限支护力公式计算结果亦存在同样规律,该结论将为非饱和砂土层盾构施工过程中土仓压力的合理设置提供理论指导,保证施工安全。
- 土拱效应 /
- 基质吸力 /
- 表观黏聚力 /
- 抗剪强度 /
- 松动土压力 /
- 极限支护力
Abstract: Due to the influences of grouting parameters and tunnelling parameters in the actual construction, the soil arching effects caused by the ground loss gradually in-crease, and the shear stress on the sliding surface increases to the shear strength gradually. The contribution of the apparent cohesion of unsaturated sandy soils to the shear stress should be also considered. However, the above factors are not considered in Terzaghi's formula. In order to solve the problem, based on the principal stress rotation theory, the expressions for the lateral pressure coefficient of unsaturated sandy soils at different positions are deduced. Based on with the theoretical formula for the apparent cohesion and the experimental data, a piecewise function for the apparent cohesion related to the matric suction is obtained, and the formula for loosening soil pressure as well as the formula for ultimate supporting force is derived in consideration of different soil arching effects. The results of the example show that with the soil arching effects, at the same depth, the loosening soil pressure decreases gradually and it is always less than the self-weight stress. With the increase of water content, there is a threshold value for the loosing earth pressure. Under different soil arching effects, with the increase of the depth, the loose earth pressure at the arch crown of strata with different saturations will tend to different constant values. Meanwhile, the formula for the limit supporting forces of shield tunnels has the same law. This research results will provide theoretical guidance for controlling reasonable chamber pressure of shield tunnelling in the unsaturated sandy soils, and ensure the safety of construction.
- soil arching effect /
- matric suction /
- apparent cohesion /
- shear strength /
- loosening earth pressure /
- limit support pressure

HTML全文

图 1 $φ^{b}$ 随砂土饱和度变化曲线

Figure 1. Curve of $φ^{b}$ with sand saturation

下载: 全尺寸图片幻灯片

图 2 表观黏聚力随基质吸力变化曲线

Figure 2. Curve of apparent cohesion with matric suction

下载: 全尺寸图片幻灯片

图 3 Trapdoor试验中线处土应力状态变化示意图

Figure 3. Schematic of change of soil stress state at midcourt line in Trapdoor tests

下载: 全尺寸图片幻灯片

图 4 Trapdoor试验滑动面处应力状态变化示意图

Figure 4. Schematic of change of soil stress state on sliding surface of Trapdoor tests

下载: 全尺寸图片幻灯片

图 5 非饱和砂土松动区土体平衡示意图

Figure 5. Diagram of soil balance in loose zone of unsaturated sand

下载: 全尺寸图片幻灯片

图 6 tanθ计算示意图

Figure 6. Calculation of tanθ

下载: 全尺寸图片幻灯片

图 7 不同饱和度及拱效应下松动土压力与地应力关系图

Figure 7. Relation between loose earth pressure and ground stress under different saturations and arch effects

下载: 全尺寸图片幻灯片

图 8 不同饱和度及土拱效应发挥程度下松动土压力曲线

Figure 8. Curves of soil pressure under different degrees of saturation and soil arch effects

下载: 全尺寸图片幻灯片

图 9 土拱效应50%发挥条件下松动土压力曲线

Figure 9. Curves of loose soil pressure under soil arching effects of 50%

下载: 全尺寸图片幻灯片

图 10 土拱效应100%发挥条件下松动土压力曲线

Figure 10. Curves of loose soil pressure under soil arching effect of 100%

下载: 全尺寸图片幻灯片

图 11 楔形体模型计算模型图

Figure 11. Computational model for wedge

下载: 全尺寸图片幻灯片

参考文献(21)

[1]	BROMS B B, BENNERMARK H. Stability of clay at vertical openings[J]. Journal of the Soil Mechanics and Foundations Division, ASCE, 1967, 96(1): 71-94.
[2]	LECA E, DORMIEUX L. Upper and lower bound solutions for the face stability of shallow circular tunnels in fric-tionalmaterial[J]. Géotechnique, 1990, 40(4): 581-606. doi: 10.1680/geot.1990.40.4.581
[3]	LEE IM, NAM SW. The study of seepage forces actingon the tunnel lining and tunnel face in shallow tunnels[J]. Tunnelling and Underground Space Technology, 2001, 16(1): 31-40. doi: 10.1016/S0886-7798(01)00028-1
[4]	吕玺琳, 王浩然, 黄茂松. 盾构隧道开挖面稳定极限理论研究[J]. 岩土工程学报, 2011, 33(1): 57-62. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201101012.htm LÜ Xi-lin, WANG Hao-ran, HANG Mao-song. Limit theoretical study on face stability of shield tunnels[J]. Chinese Journal of Geotechnical Engineering, 2011, 33(1): 57-62. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201101012.htm
[5]	ANAGNOSTOU G, KOVARI K. The face stability of slurry -shield-driven tunnels[J]. Tunnelling and Underground Space Technology, 1994, 9(2): 165-174. doi: 10.1016/0886-7798(94)90028-0
[6]	吕玺琳, 李冯缔, 黄茂松, 等. 三维盾构隧道开挖面极限支护压力数值及理论解[J]. 同济大学学报(自然科学版), 2012, 40(10): 1469-1473. https://www.cnki.com.cn/Article/CJFDTOTAL-TJDZ201210005.htm LÜ Xi-lin, LI Feng-di, HUANG Mao-song, et al. Three-dimensional numerical and analytical solutions of limit support pressure at shield tunnel face[J]. Journal of Tongji University(Natural Science), 2012, 40(10): 1469-1473. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-TJDZ201210005.htm
[7]	汤旅军, 陈仁朋, 尹鑫晟, 等. 密实砂土地层盾构隧道开挖面失稳离心模型试验研究[J]. 岩土工程学报, 2013, 35(10): 1830-1838. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201310010.htm TANG Lü-jun, CHEN Ren-peng, YIN Xin-sheng, et al. Centrifugal model tests on face stability ofshield tunnels in dense sand[J]. Chinese Journal of Geotechnical Engineering, 2013, 35(10): 1830-1838. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201310010.htm
[8]	TERZAGHI K. Theoretical Soil Mechanics[M]. New York: John Wiley and Sons, 1943: 37-42.
[9]	黎春林. 盾构隧道施工松动土压力计算方法研究[J]. 岩土工程学报, 2014, 36(9): 1714-1720. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201409024.htm LI Chun-lin. Method for calculating loosening earth pressure during construction of shield tunnels[J]. Chinese Journal of Geotechnical Engineering, 2014, 36(9): 1714-1720. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201409024.htm
[10]	陈若曦, 朱斌, 陈云敏, 等. 基于主应力轴旋转理论的修正Terzaghi松动土压力[J]. 岩土力学, 2010, 31(5): 1402-1406. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201005013.htm CHEN Ruo-xi, ZHU Bin, CHEN Yun-min, et al. Modified Terzaghi loozening earth pressure based on theory of main stress axes rotation[J]. Rock and Soil Mechanics, 2010, 31(5): 1402-1406. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201005013.htm
[11]	MARSTON A, ANDERSON A O. The theory of loads on pipes in ditches and tests of cement and clay drain tile and sewer pipe[R]. Ames: Iowa Engineering Experiment Station, Iowa State Collage, 1913.
[12]	HANDY R L. The arch in soil arching[J]. Journal of Geotechnical Engineering, 1985, 111(3): 302-318.
[13]	蔺港, 孔令刚, 詹良通, 等. 基于太沙基土拱效应考虑基质吸力影响的松动土压力计算模型[J]. 岩土力学, 2015, 36(7): 2095-2104. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201507045.htm LIN Gang, KONG Ling-gang, ZHAN Liang-tong, et al. An analytical model for loosening earth pressure considering matric suction based on Terzaghi soil arch effect[J]. Rock and Soil Mechanics, 2015, 36(7): 2095-2104. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX201507045.htm
[14]	BISHOP A W, ALPAN I, BLIGHT G E, et al. Factors controlling the shear strength of partly saturated cohesive soils[C]//ASCE Research Conference on Shear Strength of Cohesive Soils, 1960, Boulder: 503-532.
[15]	FREDLUND D G, MORGENSTERN N R, WIDGER R A. The shear strength of unsaturated soils[J]. Canadian Geotechnical Journal, 1978, 15: 313-321.
[16]	林鸿州, 李广信, 于玉贞, 等. 基质吸力对非饱和土抗剪强度的影响[J]. 岩土力学, 2007, 28(9): 1931-1936. https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200709030.htm LIN Hong-zhou, LI Guang-xin, YU Yu-zhen, et al. Influence of matric suction on shear strength behavior of unsaturated soils[J]. Rock and Soil Mechanics, 2007, 28(9): 1931-1936. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YTLX200709030.htm
[17]	董倩, 侯龙, 赵宝云. 基质吸力对非饱和粉质砂土抗剪强度的影响[J]. 中南大学学报, 2012, 43(10): 4017-4021. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201210041.htm DONG Qian, HOU Long, ZHAO Bao-yun. Influence of matric suction on shear strength of unsaturated silty sand[J]. Journal of Central South University (Science and Technology), 2012, 43(10): 4017-4021. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201210041.htm
[18]	加瑞. 盾构隧道垂直土压力松动效应的研究[D]. 南京: 河海大学, 2007. JIA Rui. Study on Relaxation Effect of Vertical Soil Pressure for Shield Tunnel[D]. Nanjing: Hohai University, 2007. (in Chinese)
[19]	秦建设. 盾构施工开挖面变形与破坏机理研究[D]. 南京: 河海大学, 2005. QIN Jian-she. Study on Face deformation and Collapse of Earth Pressure Shield Tunnel[D]. Nanjing: Hohai University, 2005. (in Chinese)
[20]	LEE I M, LEE J S, NAM S W. Effect of seepage force ontunnel face stability reinforced with multistep pipegrouting[J]. Tunneling and Underground Space Technology, 2004, 19(6): 551-565.
[21]	ANAGNOSTOU G, KOVARI K. The face stability of slurry-shield-driven tunnels[J]. Tunneling and Underground Space Technology, 1994, 9(2): 165-174.

施引文献(6)

期刊类型引用(2)

1.	占鑫杰，吕冲，桂书润，李振亚. 化学调质及固结作用下市政污泥水分转化规律. 科学技术与工程. 2025(05): 2057-2065 . 百度学术
2.	张玉伟，宋战平，谢永利. 孔隙变化条件下黄土土水特征曲线预测模型. 岩土工程学报. 2022(11): 2017-2025 . 本站查看