矩形顶管管周差异摩阻力对地层纵向水平位移的影响

兰彬; 张鹏; 张云龙; 闫雪峰

doi:10.19509/j.cnki.dzkq.2022.0031

矩形顶管管周差异摩阻力对地层纵向水平位移的影响

doi: 10.19509/j.cnki.dzkq.2022.0031

基金项目:

国家自然科学基金项目 52008383

中央高校基本科研业务费专项资金项目 CUG190605

详细信息

作者简介:
兰彬(1997—)，男，现正攻读土木水利专业硕士学位，主要从事非开挖顶管方向的研究工作。E-mail: LanBin0820@163.com

通讯作者:
张鹏(1988—)，男，副教授，主要从事非开挖领域的科研和教学工作。E-mail: cugpengzhang@163.com

中图分类号: TB22
计量
- 文章访问数: 662
- PDF下载量: 33
- 被引次数: 0
出版历程
- 收稿日期: 2021-07-20

Influence of differential frictional resistance around rectangular pipe jacking on longitudinal horizontal displacement of strata

摘要

摘要:
矩形顶管施工过程中管周摩阻力是引起周围土体扰动的重要影响因素。为了更加准确地预测矩形顶管施工对地层位移的影响，结合管节受力分析和泥浆运动规律，假定“U”字形泥浆套状态，基于弹性力学Mindlin解建立土体水平位移计算公式，对正面附加应力、管周摩阻力等因素引起的地层纵向水平位移进行计算，最后与苏州某矩形顶管工程实测值进行对比分析。结果表明：在顶管机头顶进穿过某一断面前，正面附加应力对周围土体的影响大于管周差异摩阻力，而在穿过该断面后，由于管节数量的增多以及已穿过部分的管节管周摩阻力产生的“拉力”作用，后者的累计影响占比逐渐大于前者；管周差异摩阻力情况下比管周均一摩阻力情况下的计算值更贴近实测值，预测效果更好。
- 矩形顶管 /
- 管土接触界面 /
- 管周差异摩阻力 /
- Mindlin解 /
- 地层纵向水平位移
Abstract:
In the process of rectangular box jacking, the friction resistance around the pipe is an important factor that causes the disturbance of the surrounding soil. To predict the influence of rectangular pipe jacking construction on stratum displacement more accurately, the calculation formula of horizontal displacement of soil is established based on the Mindlin solution of elastic mechanics, assuming the state of 'U' shaped mud sleeve combined with the stress analysis of pipe joint and the law of mud movement, and the vertical-horizontal displacement of stratum caused by additional stress on the front and friction resistance around the pipe is calculated. Finally, it is compared with the measured values of a rectangular box jacking project in Suzhou. The results show that before the pipe jacking head passes through a certain fracture, the effect of the additional stress on the surrounding soil is greater than the differential friction resistance around the pipe.However, after crossing the section, the cumulative effect of the latter is gradually greater than the former due to the increase inthe number of pipe segments and the "pull" effect of the friction resistance around the pipe jacking that haspassed through. The calculated value in the case of differential friction resistance is closer to the measured value than that in the case of uniform friction resistance, and the prediction effect is better.
- rectangular pipe jacking /
- pipe soil contact interface /
- differential frictional resistance around pipe jacking /
- Mindlin solution /
- longitudinal horizontal displacement of strata

HTML全文

图 1 管浆土接触状态示意图

μ₁、μ₃分别为管节顶、底部摩擦系数

Figure 1. Schematic diagram of the contact state of pipe slurry soil

下载: 全尺寸图片幻灯片

图 2 管节外壁所受摩擦力示意图

h₁, h₂分别为管节底部、顶部所处深度位置

Figure 2. Schematic diagram of the friction on the outer wall of the pipe

下载: 全尺寸图片幻灯片

图 3 力学及计算模型简图

f₀.机头各个侧面与土体摩擦力(kPa)；f₁.管节顶面与土体摩擦力(kPa)；f₂.管节左(右)侧面与土体(及泥浆)摩擦力(kPa)；f₃.管节顶面与泥浆摩擦力(kPa)；p₀.正面附加应力(kPa)；A.顶管在水平方向的长度(m)；B.顶管在垂直方向的长度(m)；L₀.机头长度(m)；L₁.后续管节总长度(m); h₀.管节轴线与地表的距离(m)

Figure 3. Schematic diagram of the mechanics and calculation model

下载: 全尺寸图片幻灯片

图 4 机头穿过监测面前、后上覆土体受力情况示意图(K为监测断面里程)

p_f为2号土体单元所受3号土体单元提供的反力

Figure 4. Schematic diagram of the stress situation of overlying soil in front and after the machine head passing through monitoring

下载: 全尺寸图片幻灯片

图 5 各因素引起纵向水平位移累计占比变化图

Figure 5. Variation in the cumulative proportion of longitudinal and horizontal displacements caused by various factors

下载: 全尺寸图片幻灯片

图 6 两种工况下的地层纵向水平位移计算值与实测值对比

Figure 6. Comparison of teh calculated values and measured values of the vertical horizontal displacement of the strata under two working conditions

下载: 全尺寸图片幻灯片

表 1 地层参数一览

Table 1. List of strata parameters

岩土类别	土层厚度/m	天然密度(kN·m^-3)	压缩模量/MPa	孔隙比	压缩系数/MPa^-1	内摩擦角/(°)	含水率/%	渗透系数/(cm·s^-1)
素填土	2.3	19.2	6.1	0.865	0.33	16.8	30.4	4.4×10^-6
黏土	3.3	19.9	7.4	0.737	0.24	15.7	26.2	1.9×10^-7
粉质黏土夹粉土	1.4	19.2	6.5	0.841	0.29	22.7	30.0	7.2×10^-6
粉砂夹粉土	3.0	19.1	9.4	0.836	0.20	31.4	30.2	2.9×10^-3
粉砂	5.4	19.4	9.7	0.789	0.19	33.4	28.9	3.8×10^-3

下载: 导出CSV

表 2 计算参数汇总

Table 2. Summary of the calculation parameters

平均重度γ/(kN·m^-3)	侧向土压力系数k	泊松比μ	内摩擦角φ/(°)	黏聚力c/kPa
19.4	0.45	0.3	27.2	19.9
机头断面尺寸A₀×B₀×L₀	管节断面尺寸A×B×L₁	管节轴线埋深h/m	管节壁厚t/m	后续管节总长度L₁/m
9.12 m×5.52 m×6.14 m	9.1 m×5.5 m×1.5 m	11.75	0.65	0~255
正面附加应力p₀/kPa	顶管机与土体摩擦系数μ₀	顶部管土摩擦系数μ₁	底部管土摩擦系数μ₃	压缩模量E_s/MPa
52	0.6	0.35	0.15	7.4

下载: 导出CSV

参考文献(17)

[1]	彭立敏, 王哲, 叶艺超, 等. 矩形顶管技术发展与研究现状[J]. 隧道建设, 2015, 35(1): 1-8. https://www.cnki.com.cn/Article/CJFDTOTAL-JSSD201501001.htm Peng L M, Wang Z, Ye Y C, et al. Development and research status of rectangular pipe jacking technology[J]. Tunnel Construction, 2015, 35(1): 1-8(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-JSSD201501001.htm
[2]	高毅, 冯超元, 程鹏. 浅埋矩形顶管的"整体背土效应"研究[J]. 岩土工程学报, 2018, 40(10): 1936-1942. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201810028.htm Gao Y, Feng C Y, Cheng P. Overall-carrying-soil effect of shallow buried rectangular pipe jacking[J]. Chinese Journal of Geotechnical Engineering, 2018, 40(10): 1936-1942(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201810028.htm
[3]	Peck R B. Deep excavations and tunneling in soft ground[C]//Anon. Proceedings of the 7th International Conference on Soil Mechanics and Foundation Engineering. Mexico: [s. n. ], 1969.
[4]	魏纲, 黄志义, 徐日庆, 等. 顶管施工引起地面变形的计算方法研究[J]. 岩石力学与工程学报, 2005, 24(增刊2): 5808-5815. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX2005S2094.htm Wei G, Huang Z Y, Xu R Q, et al. Study on calculation method of ground deformation caused by pipe jacking construction[J]. Chinese Journal of Rock Mechanics and Engineering, 2005, 24(S2): 5808-5815(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX2005S2094.htm
[5]	周浩, 马保松, 赵阳森, 等. 多因素下大断面矩形顶管施工对地层竖向变形影响研究[J]. 隧道建设: 中英文, 2020, 40(9): 1324-1332. https://www.cnki.com.cn/Article/CJFDTOTAL-JSSD202009013.htm Zhou H, Ma B S, Zhao Y S, et al. Influence of large section rectangular pipe jacking construction on vertical deformation of stratum under multiple factors[J]. Tunnel Construction: English and Chinese, 2020, 40(9): 1324-1332(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-JSSD202009013.htm
[6]	施成华, 黄林冲. 顶管施工隧道扰动区土体变形计算[J]. 中南大学学报: 自然科学版, 2005, 36(2): 323-328. doi: 10.3969/j.issn.1672-7207.2005.02.031 Shi C H, Huang L C. Calculation of soil deformation in disturbed area of pipe jacking tunnel[J]. Journal of Central South University: Science and Technology Edition, 2005, 36(2): 323-328(in Chinese with English abstract). doi: 10.3969/j.issn.1672-7207.2005.02.031
[7]	魏纲, 魏新江, 徐日庆. 顶管施工引起的挤土效应研究[J]. 岩土力学, 2006, 27(5): 717-722. doi: 10.3969/j.issn.1000-7598.2006.05.007 Wei G, Wei X J, Xu R Q. Study on soil-compacting effects induced by pipe jacking construction[J]. Rock and Soil Mechanics, 2006, 27(5): 717-722(in Chinese with English abstract). doi: 10.3969/j.issn.1000-7598.2006.05.007
[8]	许有俊, 王雅建, 冯超, 等. 矩形顶管施工引起的地面沉降变形研究[J]. 地下空间与工程学报, 2018, 14(1): 192-199. https://www.cnki.com.cn/Article/CJFDTOTAL-BASE201801027.htm Xu Y J, Wang Y J, Feng C, et al. Research on ground deformation caused by rectangular pipe jacking[J]. Construction Chinese Journal of Underground Space and Engineering, 2018, 14(1): 192-199(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-BASE201801027.htm
[9]	焦义, 梁禹, 冯金勇, 等. 多因素影响下顶管施工引起土体变形计算研究[J]. 铁道科学与工程学报, 2021, 18(1): 192-199. https://www.cnki.com.cn/Article/CJFDTOTAL-CSTD202101023.htm Jiao Y, Liang Y, Feng J Y, et al. Study on soil deformation caused by pipe jacking construction with multi-factor[J]. Journal of Railway Science and Engineering, 2021, 18(1): 192-199(in Chinese with English abstract). https://www.cnki.com.cn/Article/CJFDTOTAL-CSTD202101023.htm
[10]	Mucahit N, Erol G. Effect of bentonite slurry pressure on interface friction of pipe jacking[J]. Journal of Pipeline Systems Engineering and Practice, 2017, 8(2): 04016016. doi: 10.1061/(ASCE)PS.1949-1204.0000255
[11]	Zhang P, Behbahani S S, Ma B S, et al. A jacking force study of curved steel pipe roof in Gongbei tunnel: Calculation review and monitoring data analysis[J]. Tunnelling and Underground Space Technology Incorporating Trenchless Technology Research, 2018, 72(2): 305-322.
[12]	张鹏, 谈力昕, 马保松. 考虑泥浆触变性和管土接触特性的顶管摩阻力公式[J]. 岩土工程学报, 2017, 39(11): 2043-2049. doi: 10.11779/CJGE201711012 Zhang P, Tan L X, Ma B S. Formulae for frictional resistance considering mud thixotropy and pipe-soil contact characteristics[J]. Chinese Journal of Geotechnical Engineering, 2017, 39(11): 2043-2049(in Chinese with English abstract). doi: 10.11779/CJGE201711012
[13]	Raymond D, Mindlin L. Force at a point in the interior of a semi-infinite solid[J]. Journal of Applied Physics, 1936, 7(5): 195-202.
[14]	Chen X L, Ma B S, Mohammad N, et al. Long rectangular box jacking project: A case study[J]. Underground Space, 2021, 6(2): 101-125. doi: 10.1016/j.undsp.2019.08.003
[15]	唐培文. 大断面矩形顶管减阻技术应用研究: 以苏州综合管廊矩形顶管为例[J]. 地质科技通报, 2020, 39(2): 198-203. doi: 10.19509/j.cnki.dzkq.2020.0222 Tang P W. Application of drag reduction technology of large section rectangular pipe jacking: A case study of rectangular jacking of Suzhou comprehensive pipe rack[J]. Bulletin of Geological Science and Technology, 2020, 39(2): 198-203(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2020.0222
[16]	Stein D, Möllers K, Bielecki R. Microtunneling installation and renewal of nonman-size supply and sewge lines by the trenchless construction method[M]. Berlin: Ernst & Sohn, 1989.
[17]	李天降, 陈雪锋, 陈伟超, 等. 砂土与混凝土顶管界面摩擦特性试验研究[J]. 地质科技通报, 2021, 40(6): 178-184. doi: 10.19509/j.cnki.dzkq.2021.0617 Li T J, Chen X F, Chen W C, et al. Experimental study on interface frictional property between sand and concrete pipe jacking[J]. Bulletin of Geological Science and Technology, 2021, 40(6): 178-184(in Chinese with English abstract). doi: 10.19509/j.cnki.dzkq.2021.0617