具有黏弹性衬砌的深埋圆形隧洞饱和土动力响应

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摘要由于混凝土衬砌具有黏弹性性质，以往的弹性曲梁、弹性壳体等理论都难以描述其蠕变的全过程。将土体和混凝土衬砌分别视为饱和多孔黏弹性介质和具有分数阶导数本构的黏弹性体，在频率域内研究饱和黏弹性土和分数导数型黏弹性衬砌系统耦合振动特性。根据Biot理论和黏弹性理论，通过位移势函数，分别得到简谐荷载作用下饱和土和衬砌的位移、应力和孔压解析通解，并通过衬砌内边界以及饱和土和衬砌接触面处的应力和位移协调条件，给出待定系数的具体表达式。考察饱和土和衬砌各物性和几何参数对系统动力特性的影响，研究表明：饱和黏弹性土和分数导数型黏弹性衬砌系统的动力特性与饱和黏弹性土和经典黏弹性衬砌系统的动力特性存在较大差异。另外，随着土骨架阻尼比的增加，响应幅值逐渐减小。

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关键词 ：隧道工程, 多孔介质, 圆形隧洞, 黏弹性衬砌, 分数导数, 动力响应

Abstract：Since the concrete lining has viscoelastic properties，the whole process of its creep can not be described well by the previous theories such as elastic curved beam，elastic shell and so on. In this paper，the soil and concrete lining are considered as saturated viscoelastic porous medium and viscoelastic material with fractional derivative constitutive relation，respectively. The coupled vibration characteristics of the saturated viscoelastic soil and the lining system with a deep circular tunnel are investigated in frequency domain. Based on the Biot?s theory and viscoelastic theory，analytic solutions of displacement，stress and pore water pressure of the saturated soil and the lining under harmonic loads are obtained by displacement potential function，respectively. Besides，the expressions of undetermined coefficients are presented according to the inner boundary conditions of the lining as well as the displacement and stress continuous conditions at the interface between the saturated soil and the lining. At last，the effects of the physical and geometric parameters of the saturated soil and the lining on the system dynamic behavior are investigated. It is shown that the dynamic characteristics of the saturated viscoelastic soil and fractional derivative viscoelastic lining system are obviously different from those of the saturated viscoelastic soil and classic viscoelastic lining system. Furthermore，the response amplitudes decrease gradually as the damping ratio of the soil skeleton increases.

Key words： tunnelling engineering porous medium circular tunnel viscoelastic lining fractional derivative dynamic responses

收稿日期: 2011-04-22

引用本文:

高华喜1，闻敏杰2. 具有黏弹性衬砌的深埋圆形隧洞饱和土动力响应[J]. 岩石力学与工程学报, 2012, 31(2): 413-420.
GAO Huaxi1，WEN Minjie2. DYNAMIC RESPONSES OF SATURATED SOIL IN DEEP CIRCULAR TUNNEL WITH VISCOELASTIC LINING. , 2012, 31(2): 413-420.

链接本文:

http://www.rockmech.org/CN/Y2012/V31/I2/413

[24]	YIN J H，GRAHAM J. Elastic visco-plastic modeling of one- dimensional consolidation[J]. Geotechnique，1996，46(3)：515-527. " target="_blank">
[2]	SENJUNTICHAI T，RAJAPAKSE R K N D. Transient response of a circular cavity in a porouelastic medium[J]. International Journal for Numerical and Analytical Methods in Geomechanics，1993，17(6)：357-383. " target="_blank">
[3]	KUMAR R，MIGLANI A，DEBNATH L. Radial displacements of an infinite liquid saturated porous medium with cylindrical cavity[J]. Computers and Mathematics with Applications，1999，37(7)：117-123. " target="_blank">
[5]	GLENN L A，KIDDER R E. Blast loading of a spherical container surrounded by an infinite elastic medium[J]. Journal of Applied Engineering，1983，50(4a)：723-726. " target="_blank">
[6]	ZAKOUT U，AKKAS N. Transient response of a cylindrical cavity with and without a bonded shell in an infinite elastic medium[J]. International Journal of Engineering Science，1997，35(12/13)： 1 203-1 220. " target="_blank">
[7]	XIE K H，LIU G B，SHI Z Y. Dynamic response of partially sealed circular tunnel in viscoelastic saturated soil[J]. Soil Dynamics and Earthquake Engineering，2004，24(12)：1 003-1 011. " target="_blank">
[9]	ALUSLENDER F，COMBESCURE A. Spherical elastic-plastic structures under internal explosion approximate analytical solutions and application[J]. Engineering Structures，2000，22(8)：984-992. " target="_blank">
[11]	刘干斌，谢康和，施祖元，等. 压力隧洞衬砌-围岩(土)相互作用研究[J]. 岩石力学与工程学报，2005，24(14)：2 449-2 455.(LIU Ganbin，XIE Kanghe，SHI Zuyuan，et al. Interaction of surrounding rock or soil and lining of a pressure tunnel[J]. Chinese Journal of Rock Mechanics and Engineering，2005，24(14)：2 449-2 455.(in Chinese)) " target="_blank">
[4]	刘干斌，顿志林，谢康和，等. 饱和土体中半封闭压力隧洞的应力和位移场[J]. 科技通报，2004，20(1)：45-50.(LIU Ganbin，DUN Zhilin，XIE Kanghe，et al. Stress and displacement fields around a pressure tunnel with partial sealing in saturated soil[J]. Bulletin of Science and Technology，2004，20(1)：45-50.(in Chinese)) " target="_blank">
[8]	高盟，高广运，王滢，等. 均布突加荷载作用下圆柱形衬砌振动响应的解析解[J]. 岩土工程学报，2010，32(2)：237-242.(GAO Meng，GAO Guangyun，WANG Ying，et al. Analytical solution of dynamic response of lining subjected to sudden internal uniform loading[J]. Chinese Journal of Geotechnical Engineering，2010，32(2)：237-242.(in Chinese)) " target="_blank">
[15]	高盟，高广运，李大勇. 考虑耦合质量影响的均布突加荷载作用下衬砌结构的瞬态响应[J]. 岩土工程学报，2011，33(6)：862-868. (GAO Meng，GAO Guangyun，LI Dayong. Transient response of lining structure subjected to sudden internal uniform loading considering effects of coupling mass[J]. Chinese Journal of Geotechnical Engineering，2011，33(6)：862-868.(in Chinese))
[13]	LU J F，JENG D S，LEE T L. Dynamic response of a piecewise circular tunnel embedded in a poroelastic medium[J]. Soil Dynamics and Earthquake Engineering，2007，27(9)：875-891.
[14]	高盟，高广运，王滢，等. 饱和土与衬砌动力相互作用的圆柱形孔洞内源问题解答[J]. 固体力学学报，2009，30(5)：481-488.(GAO Meng，GAO Guangyun，WANG Ying，et al. A solution of the internal source problem of a cylindrical cavity considering the dynamic interaction between lining and saturated soil[J]. Chinese Journal of Solid Mechanics，2009，30(5)：481-488.(in Chinese)) " target="_blank">
[17]	BAGLEY R L，TORVIK P J. A theoretical basis for the application of fractional calculus to viscoelasticity[J]. Journal of Rheology，1983，27(3)：201-210. " target="_blank">
[20]	刘林超，闫启方，杨骁. 分数导数黏弹性土层模型中桩基竖向振动特性研究[J]. 工程力学，2011，28(8)：177-182.(LIU Linchao，YAN Qifang，YANG Xiao. Vertical vibration of single pile in soil described by fractional derivative viscoelastic model[J]. Engineering Mechanics，2011，28(8)：177-182.(in Chinese))
[22]	陈晓平，白世伟. 软土蠕变-固结特性及计算模型研究[J]. 岩石力学与工程学报，2003，22(5)：728-734.(CHEN Xiaoping，BAI Shiwei. Research on creep-consolidation characteristics and calculating model of soft soil[J]. Chinese Journal of Rock Mechanics and Engineering，2003，22(5)：728-734.(in Chinese))
[23]	YIN J H，GRAHAM J. Equivalent times and elastic visco-plastic modeling of time-dependent stress-strain behavior of clays[J]. Canadian Geotechnical Journal，1994，31：42-52. " target="_blank">
[1]	张庆元，战人瑞. 爆轰载荷作用下球形空腔的动力响应[J]. 爆炸与冲击，1994，14(2)：182-185.(ZHANG Qingyuan，ZHAN Renrui. The dynamic response of spherical hollow chamber under explosive loading[J]. Explosion and Shock Waves，1994，14(2)：182-185.(in Chinese)) " target="_blank">
[10]	FELDGUN V R，KOCHETKOV A V，KARINSKI Y S，et al. Internal blast loading in a buried lined tunnel[J]. International Journal of Impact Engineering，2008，35(3)：172-183.
[12]	LIU G B，XIE K H，LIU X H. Dynamic response of a partially sealed tunnel in porous rock under inner water pressure[J]. Tunnelling and Underground Space Technology，2010，25(4)：407-414.
[21]	BIOT M A. Theory of propagation of elastic waves in a fluid-saturated porous media I：low frequency range[J]. The Journal of the Acoustical Society of America，1956，28(2)：168-178. " target="_blank">
[25]	何利军，孔令伟，吴文军，等. 采用分数阶导数描述软黏土蠕变的模型[J]. 岩土力学，2011，32(增2)：239-244.(HE Lijun，KONG Lingwei，WU Wenjun，et al. A description of creep model for soft soil with fractional derivative[J]. Rock and Soil Mechanics，2011，32(Supp.2)：239-244.(in Chinese)) " target="_blank">
[16]	黄晓吉，扶明福，徐斌，等. 简谐环形荷载作用下饱和土体中圆形衬砌隧洞的动力响应研究[J]. 铁道建筑，2011，(1)：29-32. (HUANG Xiaoji，FU Mingfu，XU Bin，et al. Study of dynamic response of lined circular tunnel in saturated soil under harmonic ring load[J]. Railway Engineering，2011，(1)：29-32.(in Chinese)) " target="_blank">
[18]	孙海忠，张卫. 一种分析软土黏弹性的分数导数凯尔文模型[J]. 岩土力学，2007，28(9)：1 983-1 986.(SUN Haizhong，ZHANG Wei. Analysis of soft with viscoelastic fractional derivative Kelvin model[J]. Rock and Soil Mechanics，2007，28(9)：1 983-1 986.(in Chinese)) " target="_blank">
[19]	刘林超，杨骁. 分数导数模型描述的饱和土桩纵向振动分析[J]. 岩土力学，2011，32(2)：526-532.(LIU Linchao，YANG Xiao. Analysis of vertical vibrations of a pile in saturated soil described by fractional derivative model[J]. Rock and Soil Mechanics，2011，32(2)：526-532.(in Chinese)) " target="_blank">