岩层倾角对顺层岩体隧道地震响应不对称性的影响
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摘要
主要考虑了顺层岩体的横观各向同性本构关系,基于黏弹性边界的时域波动理论,以某顺层岩体中高铁隧道为工程背景,采用ANSYS进行了地震响应数值分析,研究了qP波入射时岩层倾角对隧道地震响应不对称性的影响.结果表明:隧道地震响应的不对称性随岩层倾角的变化不服从线性关系,其规律具有分段性;所有工况中,岩层倾角分段区间约为(0°,45°)和(45°, 90°),地震响应在岩层倾角为0°或90°时左右严格对称,在倾角为45°时左右较为接近;各分段区间内地震响应的不对称性均随岩层倾角的增大而先增强后减弱.
The case of the transverse isotropic constitution of bedding rock mass was considered, based on the time-domain wave theory of viscous-spring artificial boundary, taking a high-speed railway tunnel in a bedding rock mass as the research object, the proposed method was used through ANSYS to study the influence of the dip angle of rock strata on the seismic response of the tunnels. The results showed that,the asymmetry of the seismic response of the tunnel did not obey the linear relationship with the change of the dip angle of the rock stratum, and the law was segmental. In all the working conditions of this paper, the interval of the dip angle was about(0°, 45°) and(45°, 90°), the seismic response was strictly left-right symmetrical when the dip angle was 0° or about 90°, and was not too different from left to right when the dip angle was about 45°. The asymmetry of seismic response in each section of the interval increased first and then decreased with the increase of the dip angle of the rock stratum.
The case of the transverse isotropic constitution of bedding rock mass was considered, based on the time-domain wave theory of viscous-spring artificial boundary, taking a high-speed railway tunnel in a bedding rock mass as the research object, the proposed method was used through ANSYS to study the influence of the dip angle of rock strata on the seismic response of the tunnels. The results showed that,the asymmetry of the seismic response of the tunnel did not obey the linear relationship with the change of the dip angle of the rock stratum, and the law was segmental. In all the working conditions of this paper, the interval of the dip angle was about(0°, 45°) and(45°, 90°), the seismic response was strictly left-right symmetrical when the dip angle was 0° or about 90°, and was not too different from left to right when the dip angle was about 45°. The asymmetry of seismic response in each section of the interval increased first and then decreased with the increase of the dip angle of the rock stratum.
引文
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[16]汪精河,周晓军,刘建国,等.地震波斜人射下浅埋偏压隧道动力响应数值分析[J].兰州大学学报:自然科学版,2016, 52(4):455-460.
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[21]何建涛,马怀发,张伯艳,等.黏弹性人工边界地震动输人方法及实现[J].水利学报,2010,41(8):960-969.
[22]杜修力,赵密,王进廷.近场波动模拟的人工应力边界条件[J].力学学报,2006, 38(1):49-56.
[2] Sharma S, Judd W R. Underground opening damage from earthquakes[J]. Engineering Geology, 1991, 30(3/4):263-276.
[3]吉随旺,唐永建,胡德贵,等.四川省汶川地震灾区干线公路典型震害特征分析[J].岩石力学与工程学报,2009,28(6):1250-1260.
[4]胡鸿运,周晓军,汪精河.顺层隧道地震响应的波动方法研究[J].岩石力学与工程学报,2017,36(6):1373-1383.
[5] St John C M, Zahrah T F. Aseismic design of underground structures[J]. Tunnelling and Underground Space Technology, 1987, 2(2):165-197.
[6] Youssef M A, Jeffrey J H, Birger S, et al. Seismic design and analysis of underground structures[J]. Tunnelling and Underground Space Technology, 2001,16(4):247-293.
[7]陈洪凯,周云涛,唐红梅,等.隧道施工爆破对地表滑坡稳定性的影响[J].兰州大学学报:自然科学版,2015,50(1):50-54.
[8]许明,刘先珊.黏土隧道稳定的力学机制研究[J].兰州大学学报:自然科学版,2013,48(1):131-137.
[9] Kyung H P, Kullachai T, Bituporn T, et al. Analytical solution for seismic-induced ovaling of circular tunnel lining under no-slip interface conditions:a revisit[J]. Tunnelling and Underground Space Technology, 2009, 24(2):231-235.
[10] Ulas C, Madabhushi S P. A model study on the effects of input motion on the seismic behaviour of tunnels[J].Soil Dynamics and Earthquake Engineering, 2011, 31(3):452-462.
[11] George P K, Scott W S, Carter J P. Effect of interface friction on tunnel liner internal forces due to seismic S and P wave prop agation[J]. Soil Dynamics and Earthquake Engineering, 2013,46(4):41-51.
[12]徐华,李天斌,王栋,等.山岭隧道地震动力响应规律的三维振动台模型试验研究[J].岩石力学与工程学报,2013,32(9):1762-1771.
[13]李育枢.山岭隧道地震动力响应及减震措施研究:以国道318线黄草坪隧道为例[D].上海:同济大学土木工程学院,2006:59-132.
[14]耿萍,何悦,何川,等.穿越断层破碎带隧道合理抗震设防长度研究[J].岩石力学与工程学报,2014, 33(2):358-365.
[15]何川,李林,张景,等.隧道穿越断层破碎带震害机理研究[J].岩土工程学报,2014, 36(3):427-434.
[16]汪精河,周晓军,刘建国,等.地震波斜人射下浅埋偏压隧道动力响应数值分析[J].兰州大学学报:自然科学版,2016, 52(4):455-460.
[17] Winterstein D F. Velocity anisotropy terminology for geophysicists[J]. Geophysics, 1990, 55(8):1070-1088.
[18] Thomsen L. Weak elastic anisotropy[J]. Geophysics,1986, 51(10):1954-1966.
[19]胡鸿运,周晓军,汪精河.顺层岩体各向异性对隧道地震响应的影响[J].中国铁道科学,2018, 39(1):49-58.
[20]廖振鹏.工程波动理论导论[M].第二版.北京:科学出版社, 2002:141-155.
[21]何建涛,马怀发,张伯艳,等.黏弹性人工边界地震动输人方法及实现[J].水利学报,2010,41(8):960-969.
[22]杜修力,赵密,王进廷.近场波动模拟的人工应力边界条件[J].力学学报,2006, 38(1):49-56.