穿越分层地层的盾构隧道开挖面稳定机理研究
|
摘要
基于塑性力学极限分析上限法,通过空间离散技术,建立圆形盾构隧道穿越分层地层时开挖面失稳的三维破坏机构,推导盾构开挖面极限支护压力的计算方法,获得最优上限解。针对单一地层,将极限支护压力计算方法与前人提出的3种多块体模型计算方法进行对比,分析黏聚力、内摩擦角等强度参数差异对极限支护压力的影响,同时验证本文方法的准确性。针对2种地质强度差异较大地层,将此方法和数值模拟计算的极限支护压力进行对比,研究地层差异性对极限支护压力的影响,发现2种方法计算结果吻合度较高。研究表明:极限支护压力随上部软弱地层在开挖断面竖直方向上的厚度占开挖断面总高度的比例增大而增大,并随地层内摩擦角、黏聚力差异的增大而增大。
Based on the upper bound method of limit analysis in plastic mechanics,a three-dimensional failure mechanism for the excavation face instability of circular shield tunnel crossing layered strata was established by means of spatial discretization technology.The calculation method for the ultimate support pressure of the excavation face of shield tunnel was deduced and the optimal upper bound solution was obtained.In the case of single stratum,the calculation method for ultimate support pressure was compared with the three calculation methods of multi-block model previously proposed.The influence on the ultimate support pressure due to different strength parameters,such as cohesion and internal friction angle,was analyzed,and the accuracy of this method was verified.In the case of two strata with different geological strengths,the calculation results of this method were compared with the ultimate support pressure calculated by numerical simulation to study how the difference of strata affecting the ultimate support pressure.It was found that the fitting degree of the calculated results of the two methods was relatively high.Research shows that the ultimate support pressure increases with the increase of the proportion of the thickness of the upper weak stratum in the vertical direction of the excavated section to the total height of the excavated section,and increases with the increase of the difference of friction angle and cohesion in the stratum.
Based on the upper bound method of limit analysis in plastic mechanics,a three-dimensional failure mechanism for the excavation face instability of circular shield tunnel crossing layered strata was established by means of spatial discretization technology.The calculation method for the ultimate support pressure of the excavation face of shield tunnel was deduced and the optimal upper bound solution was obtained.In the case of single stratum,the calculation method for ultimate support pressure was compared with the three calculation methods of multi-block model previously proposed.The influence on the ultimate support pressure due to different strength parameters,such as cohesion and internal friction angle,was analyzed,and the accuracy of this method was verified.In the case of two strata with different geological strengths,the calculation results of this method were compared with the ultimate support pressure calculated by numerical simulation to study how the difference of strata affecting the ultimate support pressure.It was found that the fitting degree of the calculated results of the two methods was relatively high.Research shows that the ultimate support pressure increases with the increase of the proportion of the thickness of the upper weak stratum in the vertical direction of the excavated section to the total height of the excavated section,and increases with the increase of the difference of friction angle and cohesion in the stratum.
引文
[1]BROMS B B,BENNERMARK H.Stability of Clay at Vertical Openings[J].Journal of Soil Mechanics&Foundations Division,1967,93(1):71-94.
[2]DAVIS E H,GUNN M J,MAIR R J,et al.The Stability of Shallow Tunnels and Underground Openings in Cohesive Material[J].Géotechnique,1980,30(4):397-416.
[3]LECA E,DORMIEUX L.Upper and Lower Bound Solutions for the Face Stability of Shallow Circular Tunnels in Frictional Material[J].Géotechnique,1990,40(4):581-606.
[4]CHAMBON P,CORTE J F.Shallow Tunnels in Cohesionless Soil:Stability of Tunnel Face[J].Journal of Geotechnical Engineering(ASCE),1994,120(7):1148-1165.
[5]SOUBRA A H.Three-Dimensional Face Stability Analysis of Shallow Circular Tunnels[C]//International Conference on Geotechnical and Geological Engineering.Australia:Melbourne,2000.
[6]SOUBRA A H.Kinematical Approach to the Face Stability Analysis of Shallow Circular Tunnels[C]//Proceedings of the 8th International Symposium on Plasticity.Canada:British Columbia,2002:443-445.
[7]SOUBRA A H,DIAS D,EMERIAULT F,et al.Three-Dimensional Face Stability Analysis of Circular Tunnels by a Kinematical Approach[J].Géotechnique,2008,30(5):894-901.
[8]MOLLON G,DIAS D,SOUBRA A H.Probabilistic Analysis and Design of Circular Tunnels Against Face Stability[J].International Journal of Geomechanics,ASCE,2009,9(6):237-249.
[9]MOLLON G,DIAS D,SOUBRA A H.Probabilistic Analysis of Circular Tunnels in Homogeneous Soils Using Response Surface Methodology[J].Journal of Geotechnical and Geoenvironmental Engineering,ASCE,2009,135(9):1314-1325.
[10]MOLLON G,DIAS D,SOUBRA A H.Face Stability Analysis of Circular Tunnels Driven by a Pressurized Shield[J].Journal of Geotechnical and Geoenvironmental Engineering,ASCE,2010,136(1):215-229.
[11]SUBRIN D,WONG H.Stabilitédu Tront d’un Tunnel en Milieu Frottanti:un Nouveau Mécanisme de Rupture 3D[J].Comptes Rendus Mécanique,2002,330(7):513-519.
[12]黄正荣,朱伟,梁精华,等.盾构法隧道开挖面极限支护压力研究[J].土木工程学报,2006,39(10):112-116.(HUANG Zhengrong,ZHU Wei,LIANG Jinghua,et al.A Study on the Limit Support Pressure at Excavation Face of Shield Tunneling[J].China Civil Engineering Journal,2006,39(10):112-116.in Chinese)
[13]熊良宵,杨林德.隧道开挖面接近地质界面时围岩位移特征及其影响因素分析[J].中国铁道科学,2009,30(1):61-68.(XIONG Liangxiao,YANG Linde.Displacement Characteristics of the Surrounding Rock and the Influencing Factors Analysis When Tunnel Excavating towards the Geological Interface[J].China Railway Science,2009,30(1):61-68.in Chinese)
[14]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.(LXilin,WANG Haoran,HUANG Maosong.Limit Theoretical Study on Face Stability of Shield Tunnels[J].Chinese Journal of Geotechnical Engineering,2011,33(1):57-62.in Chinese)
[15]宋春霞,黄茂松,吕玺琳.非均质地基中平面应变隧道开挖面稳定上限分析[J].岩土力学,2011,32(9):2645-2662.(SONG Chunxia,HUANG Maosong,LXilin.Upper Bound Analysis of Plane Strain Tunnel in Nonhomogeneous Clays[J].Rock and Soil Mechanics,2011,32(9):2645-2662.in Chinese)
[16]王浩然,黄茂松,吕玺琳,等.考虑渗流影响的盾构隧道开挖面稳定上限分析[J].岩土工程学报,2013,35(9):1696-1704.(WANG Haoran,HUANG Maosong,LXilin,et al.Upper-Bound Limit Analysis of Stability of Shield Tunnel Face Considering Seepage[J].Chinese Journal of Geotechnical Engineering,2013,35(9):1696-1704.in Chinese)
[17]黄茂松,宋春霞,吕玺琳.非均质黏土地基隧道环向开挖面稳定上限分析[J].岩土工程学报,2013,35(8):1504-1512.(HUANG Maosong,SONG Chunxia,LXilin.Upper Bound Analysis for Stability of a Circular Tunnel in Heterogeneous Clay[J].Chinese Journal of Geotechnical Engineering,2013,35(8):1504-1512.in Chinese)
[18]郑永来,冯利坡,邓树新,等.高水压条件下盾构隧道开挖面极限上限法研究[J].同济大学学报:自然科学版,2013,41(8):1179-1184.(ZHENG Yonglai,FENG Lipo,DENG Shuxin,et al.Study on Upper-Bound Limit Method of Face Stability of Shield Tunnel with High-Water Pressure[J].Journal of Tongji University:Natural Science,2013,41(8):1179-1184.in Chinese)
[19]张子新,胡文.黏性土地层中盾构隧道开挖面支护压力计算方法探讨[J].岩石力学与工程学报,2014,33(3):606-614.(ZHANG Zixin,HU Wen.Investigation on Excavation Face Support Pressure Calculation Methods of Shield Tunnelling in Clayey Soil[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(3):606-614.in Chinese)
[20]邱龑,杨新安,徐前卫,等.富水砂层盾构隧道开挖面稳定性及其失稳风险的分析[J].中国铁道科学,2015,36(6):55-62.(QIU Yan,YANG Xinan,XU Qianwei,et al.Analysis on Stability and Instability Risk of Excavation Face of Shield Tunnel in Water-Rich Sand Layer[J].China Railway Science,2015,36(6):55-62.in Chinese)
[21]王振飞,张成平.泥水盾构开挖面失稳破坏的颗粒流模拟研究[J].中国铁道科学,2017,38(3):55-62.(WANG Zhenfei,ZHANG Chengping.Research on Particle Flow Simulation for Excavation Face Instability of Slurry Shield[J].China Railway Science,2017,38(3):55-62.in Chinese)
[2]DAVIS E H,GUNN M J,MAIR R J,et al.The Stability of Shallow Tunnels and Underground Openings in Cohesive Material[J].Géotechnique,1980,30(4):397-416.
[3]LECA E,DORMIEUX L.Upper and Lower Bound Solutions for the Face Stability of Shallow Circular Tunnels in Frictional Material[J].Géotechnique,1990,40(4):581-606.
[4]CHAMBON P,CORTE J F.Shallow Tunnels in Cohesionless Soil:Stability of Tunnel Face[J].Journal of Geotechnical Engineering(ASCE),1994,120(7):1148-1165.
[5]SOUBRA A H.Three-Dimensional Face Stability Analysis of Shallow Circular Tunnels[C]//International Conference on Geotechnical and Geological Engineering.Australia:Melbourne,2000.
[6]SOUBRA A H.Kinematical Approach to the Face Stability Analysis of Shallow Circular Tunnels[C]//Proceedings of the 8th International Symposium on Plasticity.Canada:British Columbia,2002:443-445.
[7]SOUBRA A H,DIAS D,EMERIAULT F,et al.Three-Dimensional Face Stability Analysis of Circular Tunnels by a Kinematical Approach[J].Géotechnique,2008,30(5):894-901.
[8]MOLLON G,DIAS D,SOUBRA A H.Probabilistic Analysis and Design of Circular Tunnels Against Face Stability[J].International Journal of Geomechanics,ASCE,2009,9(6):237-249.
[9]MOLLON G,DIAS D,SOUBRA A H.Probabilistic Analysis of Circular Tunnels in Homogeneous Soils Using Response Surface Methodology[J].Journal of Geotechnical and Geoenvironmental Engineering,ASCE,2009,135(9):1314-1325.
[10]MOLLON G,DIAS D,SOUBRA A H.Face Stability Analysis of Circular Tunnels Driven by a Pressurized Shield[J].Journal of Geotechnical and Geoenvironmental Engineering,ASCE,2010,136(1):215-229.
[11]SUBRIN D,WONG H.Stabilitédu Tront d’un Tunnel en Milieu Frottanti:un Nouveau Mécanisme de Rupture 3D[J].Comptes Rendus Mécanique,2002,330(7):513-519.
[12]黄正荣,朱伟,梁精华,等.盾构法隧道开挖面极限支护压力研究[J].土木工程学报,2006,39(10):112-116.(HUANG Zhengrong,ZHU Wei,LIANG Jinghua,et al.A Study on the Limit Support Pressure at Excavation Face of Shield Tunneling[J].China Civil Engineering Journal,2006,39(10):112-116.in Chinese)
[13]熊良宵,杨林德.隧道开挖面接近地质界面时围岩位移特征及其影响因素分析[J].中国铁道科学,2009,30(1):61-68.(XIONG Liangxiao,YANG Linde.Displacement Characteristics of the Surrounding Rock and the Influencing Factors Analysis When Tunnel Excavating towards the Geological Interface[J].China Railway Science,2009,30(1):61-68.in Chinese)
[14]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.(LXilin,WANG Haoran,HUANG Maosong.Limit Theoretical Study on Face Stability of Shield Tunnels[J].Chinese Journal of Geotechnical Engineering,2011,33(1):57-62.in Chinese)
[15]宋春霞,黄茂松,吕玺琳.非均质地基中平面应变隧道开挖面稳定上限分析[J].岩土力学,2011,32(9):2645-2662.(SONG Chunxia,HUANG Maosong,LXilin.Upper Bound Analysis of Plane Strain Tunnel in Nonhomogeneous Clays[J].Rock and Soil Mechanics,2011,32(9):2645-2662.in Chinese)
[16]王浩然,黄茂松,吕玺琳,等.考虑渗流影响的盾构隧道开挖面稳定上限分析[J].岩土工程学报,2013,35(9):1696-1704.(WANG Haoran,HUANG Maosong,LXilin,et al.Upper-Bound Limit Analysis of Stability of Shield Tunnel Face Considering Seepage[J].Chinese Journal of Geotechnical Engineering,2013,35(9):1696-1704.in Chinese)
[17]黄茂松,宋春霞,吕玺琳.非均质黏土地基隧道环向开挖面稳定上限分析[J].岩土工程学报,2013,35(8):1504-1512.(HUANG Maosong,SONG Chunxia,LXilin.Upper Bound Analysis for Stability of a Circular Tunnel in Heterogeneous Clay[J].Chinese Journal of Geotechnical Engineering,2013,35(8):1504-1512.in Chinese)
[18]郑永来,冯利坡,邓树新,等.高水压条件下盾构隧道开挖面极限上限法研究[J].同济大学学报:自然科学版,2013,41(8):1179-1184.(ZHENG Yonglai,FENG Lipo,DENG Shuxin,et al.Study on Upper-Bound Limit Method of Face Stability of Shield Tunnel with High-Water Pressure[J].Journal of Tongji University:Natural Science,2013,41(8):1179-1184.in Chinese)
[19]张子新,胡文.黏性土地层中盾构隧道开挖面支护压力计算方法探讨[J].岩石力学与工程学报,2014,33(3):606-614.(ZHANG Zixin,HU Wen.Investigation on Excavation Face Support Pressure Calculation Methods of Shield Tunnelling in Clayey Soil[J].Chinese Journal of Rock Mechanics and Engineering,2014,33(3):606-614.in Chinese)
[20]邱龑,杨新安,徐前卫,等.富水砂层盾构隧道开挖面稳定性及其失稳风险的分析[J].中国铁道科学,2015,36(6):55-62.(QIU Yan,YANG Xinan,XU Qianwei,et al.Analysis on Stability and Instability Risk of Excavation Face of Shield Tunnel in Water-Rich Sand Layer[J].China Railway Science,2015,36(6):55-62.in Chinese)
[21]王振飞,张成平.泥水盾构开挖面失稳破坏的颗粒流模拟研究[J].中国铁道科学,2017,38(3):55-62.(WANG Zhenfei,ZHANG Chengping.Research on Particle Flow Simulation for Excavation Face Instability of Slurry Shield[J].China Railway Science,2017,38(3):55-62.in Chinese)