考虑浆液自重的均匀注浆压力引起地表变形
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摘要
目前关于同步注浆压力对地层变形的研究大都将其视为均布径向压力,为了能够更加准确地预测注浆压力对土体变形,在考虑浆液重力的条件下,以浆液流体为研究对象,分析均匀注浆压力对地表的变形。考虑重力的注浆压力分布形式为半无限体柱形孔扩张,基于弹性叠加原理,利用镜像法和Mindlin解,通过坐标变换,推导出考虑重力的均匀注浆压力引起地表最大隆起位移的解析式,通过数值模拟对工程实例进行分析并与已有的解析式对比,验证解析式的合理性。
At present,the research of simultaneous grouting pressure on formation deformation was mostly regarded as uniform radial pressure. In order to predict deformation of soil by grouting pressure more accurately,the slurry fluid was taken as the research object,under the condition of considering the gravity of the slurry to analyzed the deformation of the surface by uniform grouting pressure. The grouting pressure distribution considering gravity was a semi-infinite cylindrical expansion. Based on the principle of elastic superposition,using the mirror image method and Mindlin solution. The analytical formula of the maximum uplift displacement caused by the uniform grouting pressure considering gravity is derived bycoordinate transformation. Through the numerical simulation,the engineering example is analyzed and compared with the existing analytical formula to verify the rationality of the analytical formula.
At present,the research of simultaneous grouting pressure on formation deformation was mostly regarded as uniform radial pressure. In order to predict deformation of soil by grouting pressure more accurately,the slurry fluid was taken as the research object,under the condition of considering the gravity of the slurry to analyzed the deformation of the surface by uniform grouting pressure. The grouting pressure distribution considering gravity was a semi-infinite cylindrical expansion. Based on the principle of elastic superposition,using the mirror image method and Mindlin solution. The analytical formula of the maximum uplift displacement caused by the uniform grouting pressure considering gravity is derived bycoordinate transformation. Through the numerical simulation,the engineering example is analyzed and compared with the existing analytical formula to verify the rationality of the analytical formula.
引文
1张海波.地铁隧道盾构法施工对周围环境影响的数值模拟.南京:河海大学,2005Zhang Haibo.Numerical simulation of influence of shield tunneling on surrounding environment in subway tunnel.Nanjing:Hohai University,2005
2黄俐,梁鹏.北京地铁六号线盾构施工风险分析.科学技术与工程,2016;16(6):238-243Huang Li,Liang Peng.Risk analysis in Beijing subway shield tunneling construction of line 6.Science Technology and Engineering,2016;16(6):238-243
3谢自韬,江玉生,刘品.盾构隧道壁后注浆压力对地表沉降及围岩变形的数值模拟研究.隧道建设,2007;27(4):12-15Xie Zitao,Jiang Yusheng,Liu Pin.Numerical simulation study on surface settlement and surrounding rock deformation caused by backfill grouting pressure in shield tunneling.Tunnel Construction,2007;27(4):12-15
4雷华阳,仇王维,吕乾乾,等.盾构施工中注浆因素对地表沉降的影响研究.地下空间与工程学报,2015;11(5):1303-1309Lei Huayang,Qiu Wangwei,Lv Qianqian,et al.Study on the impact of the grouting factors on surface subsidence in the process of shield construction.Chinese Journal of Underground Space and Engineering,2015;11(5):1303-1309
5孙闯,张建俊,刘家顺,等.盾构隧道壁后注浆压力对地表沉降的影响分析.长江科学院院报,2012;29(11):68-72Sun Chuang,Zhang Jianjun,Liu Jiashun,et al.Effect of shield tunnel backfill grouting pressure on the ground surface subsidence.Journal of Yangtze River Scientific Research Institute,2012;29(11):68-72
6张励.盾构掘进参数对地表沉降影响分析.北京:北京交通大学,2012Zhang Li.Analysis on parameter of shield driving effect on ground subsidence.Beijing:Beijing Jiaotong University,2012
7林存刚,张忠苗,吴世明,等.软土地层盾构隧道施工引起的地面隆陷研究.岩石力学与工程学报,2011;30(12):2583-2592Lin Cungang,Zhang Zhongmiao,Wu Shiming,et al.Study of ground heave and subsidence induced by shield tunnelling in soft ground.Chinese Journal of Rock Mechanics and Engineering,2011;30(12):2583-2592
8李方楠,沈水龙,罗春泳.考虑注浆压力的顶管施工引起土体变形计算方法.岩土力学,2012;33(1):204-208Li Fangnan,Shen Shuilong,Luo Chunyong.Prediction approach of ground deformation induced by pipe jacking construction considering grouting pressure.Rock and Soil Mechanics,2012;33(1):204-208
9梁荣柱,夏唐代,林存刚,等.盾构推进引起地表变形及深层土体水平位移分析.岩石力学与工程学报,2015;34(3):583-593Liang Rongzhu,Xia Tangdai,Lin Cungang,et al.Analysis of ground surface displacement and horizontal movement of deep soils induced by shield advancing.Chinese Journal of Rock Mechanics and Engineering,2015;34(3):583-593
10叶飞,苟长飞,陈治,等.盾构隧道同步注浆引起的地表变形分析.岩土工程学报,2014;36(4):618-624Ye Fei,Gou Changfei,Chen Zhi,et al.Ground surface deformation caused by synchronous grouting of shield tunnels.Chinese Journal of Geotechnical Engineering,2014;36(4):618-624
11吴昌胜,朱志铎.软土地层盾尾注浆压力引起的地面隆起分析.隧道建设,2017;37(9):1114-1119Wu Changsheng,Zhu Zhiduo.Analysis of ground surface heave induced by grouting pressure at shield tail in soft soil tunnel.Tunnel Construction,2017;37(9):1114-1119
12王志良,申林方,谢建斌,等.盾构掘进开挖面前方产生超孔隙水压力的分析.铁道学报,2013;35(5):90-96Wang Zhiliang,Shen Linfang,Xie Jianbin,et al.Analysis on excess pore water pressure induced by shield tunnelling in front of excavation face.Journal of the China Railway Society,2013;35(5):90-96
13潘茁.盾构施工全过程引起的土体扰动与分层沉降特性研究.北京:中国矿业大学(北京),2016Pan Zhuo.Study on soil disturbance and its classified settlement due to EPB TBM Excavation.Beijing:China University of Mining and Technology(Beijing),2016
14 Mindlin R D.Force at a point in the interior of a semi-infinite solid.Physics,1936;7(5):195-202
2黄俐,梁鹏.北京地铁六号线盾构施工风险分析.科学技术与工程,2016;16(6):238-243Huang Li,Liang Peng.Risk analysis in Beijing subway shield tunneling construction of line 6.Science Technology and Engineering,2016;16(6):238-243
3谢自韬,江玉生,刘品.盾构隧道壁后注浆压力对地表沉降及围岩变形的数值模拟研究.隧道建设,2007;27(4):12-15Xie Zitao,Jiang Yusheng,Liu Pin.Numerical simulation study on surface settlement and surrounding rock deformation caused by backfill grouting pressure in shield tunneling.Tunnel Construction,2007;27(4):12-15
4雷华阳,仇王维,吕乾乾,等.盾构施工中注浆因素对地表沉降的影响研究.地下空间与工程学报,2015;11(5):1303-1309Lei Huayang,Qiu Wangwei,Lv Qianqian,et al.Study on the impact of the grouting factors on surface subsidence in the process of shield construction.Chinese Journal of Underground Space and Engineering,2015;11(5):1303-1309
5孙闯,张建俊,刘家顺,等.盾构隧道壁后注浆压力对地表沉降的影响分析.长江科学院院报,2012;29(11):68-72Sun Chuang,Zhang Jianjun,Liu Jiashun,et al.Effect of shield tunnel backfill grouting pressure on the ground surface subsidence.Journal of Yangtze River Scientific Research Institute,2012;29(11):68-72
6张励.盾构掘进参数对地表沉降影响分析.北京:北京交通大学,2012Zhang Li.Analysis on parameter of shield driving effect on ground subsidence.Beijing:Beijing Jiaotong University,2012
7林存刚,张忠苗,吴世明,等.软土地层盾构隧道施工引起的地面隆陷研究.岩石力学与工程学报,2011;30(12):2583-2592Lin Cungang,Zhang Zhongmiao,Wu Shiming,et al.Study of ground heave and subsidence induced by shield tunnelling in soft ground.Chinese Journal of Rock Mechanics and Engineering,2011;30(12):2583-2592
8李方楠,沈水龙,罗春泳.考虑注浆压力的顶管施工引起土体变形计算方法.岩土力学,2012;33(1):204-208Li Fangnan,Shen Shuilong,Luo Chunyong.Prediction approach of ground deformation induced by pipe jacking construction considering grouting pressure.Rock and Soil Mechanics,2012;33(1):204-208
9梁荣柱,夏唐代,林存刚,等.盾构推进引起地表变形及深层土体水平位移分析.岩石力学与工程学报,2015;34(3):583-593Liang Rongzhu,Xia Tangdai,Lin Cungang,et al.Analysis of ground surface displacement and horizontal movement of deep soils induced by shield advancing.Chinese Journal of Rock Mechanics and Engineering,2015;34(3):583-593
10叶飞,苟长飞,陈治,等.盾构隧道同步注浆引起的地表变形分析.岩土工程学报,2014;36(4):618-624Ye Fei,Gou Changfei,Chen Zhi,et al.Ground surface deformation caused by synchronous grouting of shield tunnels.Chinese Journal of Geotechnical Engineering,2014;36(4):618-624
11吴昌胜,朱志铎.软土地层盾尾注浆压力引起的地面隆起分析.隧道建设,2017;37(9):1114-1119Wu Changsheng,Zhu Zhiduo.Analysis of ground surface heave induced by grouting pressure at shield tail in soft soil tunnel.Tunnel Construction,2017;37(9):1114-1119
12王志良,申林方,谢建斌,等.盾构掘进开挖面前方产生超孔隙水压力的分析.铁道学报,2013;35(5):90-96Wang Zhiliang,Shen Linfang,Xie Jianbin,et al.Analysis on excess pore water pressure induced by shield tunnelling in front of excavation face.Journal of the China Railway Society,2013;35(5):90-96
13潘茁.盾构施工全过程引起的土体扰动与分层沉降特性研究.北京:中国矿业大学(北京),2016Pan Zhuo.Study on soil disturbance and its classified settlement due to EPB TBM Excavation.Beijing:China University of Mining and Technology(Beijing),2016
14 Mindlin R D.Force at a point in the interior of a semi-infinite solid.Physics,1936;7(5):195-202