Aseismic Performance Analysis of Composite Lining Embedded in Saturated Poroelastic Half Space
Publication: International Journal of Geomechanics
Volume 20, Issue 9
Abstract
Earthquakes have been found to seriously threaten the structure of tunnels. To study the seismic performance of a composite lining embedded in a saturated poroelastic half space under an incident P wave, an analytical model is established based on Biot theory, and the solutions are obtained utilizing the wave function expansion method. The dynamic stress concentration factor (DSCF) is introduced to describe the dynamic stress state in the composite lining. The dynamic stress of the composite lining is compared with that of a single lining, indicating that the composite lining can reduce the lining dynamic stress significantly. Subsequently, the influence of the dimensionless input frequency, incident angle, thickness, and stiffness and the buried depth of the composite lining on the aseismic performance of the composite lining are discussed. The conclusions obtained in this study might provide a beneficial guideline for composite lining design in tunnel engineering.
Get full access to this article
View all available purchase options and get full access to this article.
Data Availability Statement
The data for reproducing this work are available by directly contacting the corresponding author at reasonable request.
The authors are grateful for funding support from the Natural Science Foundation of Jiangxi Province (No. 20171BAB216047), the National Natural Science Foundation of China (No. 11702095), the National Science Fund for Distinguished Young Scholars (No. 51725802), the National Key Basic Research Program of China (973 Program) (No. 2015CB057801) and the innovation fund for Postgraduate (No. YC2019-B105).
References
Biot, M. A. 1956. “Theory of propagation of elastic waves in a fluid-saturated porous media.” J. Acoust. Soc. Am. 28 (2): 168–178. https://doi.org/10.1121/1.1908239.
Biot, M. A. 1962. “Mechanics of deformation and acoustic propagation in porous media.” J. Appl. Phys. 33 (4): 1482–1498. https://doi.org/10.1063/1.1728759.
Cao, H., and V. W. Lee. 1990. “Scattering and differaction of plane P waves by circular cylindrical canyons with variable depth-to-width ratio.” Soil Dyn. Earthquake Eng. 9 (3): 141–150. https://doi.org/10.1016/S0267-7261(09)90013-6.
Esmaeili, M., S. Vahdani, and A. Noorzad. 2006. “Dynamic response of lined circular tunnel to plane harmonic waves.” Tunnelling Underground Space Technol. 21 (5): 511–519. https://doi.org/10.1016/j.tust.2005.10.002.
Fang, X.-Q., and B.-L. Li. 2018. “Dynamic interaction between a partially corroded pipeline and saturated poroelastic medium under plane waves.” Soil Dyn. Earthquake Eng. 105: 22–26. https://doi.org/10.1016/j.soildyn.2017.11.022.
Fang, X.-Q., J.-X. Liu, and Y. Wang. 2015. “Dynamic response of a partially debonded pipeline embedded in a saturated poroelastic medium to harmonic plane waves.” Soil Dyn. Earthquake Eng. 71: 80–87. https://doi.org/10.1016/j.soildyn.2015.01.006.
Fang, X.-Q., T.-F. Zhang, and H.-Y. Li. 2018. “Elastic-slip interface effect on dynamic response of a lined tunnel in a semi-infinite alluvial valley under SH waves.” Tunnelling Underground Space Technol. 74: 96–106. https://doi.org/10.1016/j.tust.2018.01.008.
Gatmiri, B., and H. Eslami. 2007. “Scattering of harmonic waves by a circular cavity in a porous medium: Complex functions theory approach.” Int. J. Geomech. 7 (5): 371–381. https://doi.org/10.1061/(ASCE)1532-3641(2007)7:5(371).
Hasheminejad, S. M., and R. Avazmohammadi. 2008. “Dynamic stress concentrations in lined twin tunnels within fluid-saturated soil.” J. Eng. Mech. 134 (7): 542–554. https://doi.org/10.1061/(Asce)0733-9399(2008)134:7(542).
Hasheminejad, S. M., and S. Kazemirad. 2008. “Dynamic response of an eccentrically lined circular tunnel in poroelastic soil under seismic excitation.” Soil Dyn. Earthquake Eng. 28 (4): 277–292. https://doi.org/10.1016/j.soildyn.2007.06.007.
Huang, J., Z. Mi, and X. Du. 2017. “Non-linear seismic responses of tunnels within normal fault ground under obliquely incident P waves.” Tunnelling Underground Space Technol. 61: 26–39. https://doi.org/10.1016/j.tust.2016.09.006.
Karinski, Y. S., V. V. Shershnev, and D. Z. Yankelevsky. 2007. “Analytical solution of the harmonic waves diffraction by a cylindrical lined cavity in poroelastic saturated medium.” Int. J. Numer. Anal. Methods Geomech. 31 (5): 667–689. https://doi.org/10.1002/nag.554.
Kazmi, Z. A., and K. Konagai. 2018. “Co-seismic stress changes and damage to tunnels in the October 23, 2004 mid-Niigata-prefecture earthquake.” Can. Geotech. J. 55 (5): 736–748. https://doi.org/10.1139/cgj-2016-0658.
Lai, J., S. He, J. Qiu, J. Chen, L. Wang, W. Ke, and J. Wang. 2017. “Characteristics of seismic disasters and aseismic measures of tunnels in Wenchuan earthquake.” Environ. Earth Sci. 76 (2): 94. https://doi.org/10.1007/s12665-017-6405-3.
Lee, V. W. 1979. “Response of tunnels to incident SH-waves.” J. Eng. Mech. Div. 105 (4): 643–659.
Lee, V. W., and H. Cao. 1989. “Diffraction of SV waves by circular canyons of various depths.” J. Eng. Mech. 115 (9): 2035–2056. https://doi.org/10.1061/(ASCE)0733-9399(1989)115:9(2035).
Li, T. 2012. “Damage to mountain tunnels related to the Wenchuan earthquake and some suggestions for aseismic tunnel construction.” Bull. Eng. Geol. Environ. 71 (2): 297–308. https://doi.org/10.1007/s10064-011-0367-6.
Li, W. H., and Z. Zhang. 2013. “Scattering of transient plane waves by deep buried cylindrical lining cavity in saturated soil.” [In Chinese.] Chin. J. Geophys. 56 (1): 325–334.
Lin, C. H., V. W. Lee, M. I. Todorovska, and M. D. Trifunac. 2010. “Zero-stress, cylindrical wave functions around a circular underground tunnel in a flat, elastic half-space: Incident P-waves.” Soil Dyn. Earthquake Eng. 30 (10): 879–894. https://doi.org/10.1016/j.soildyn.2010.01.010.
Lin, C. H., V. W. Lee, and M. D. Trifunac. 2005. “The reflection of plane waves in a poroelastic half-space saturated with inviscid fluid.” Soil Dyn. Earthquake Eng. 25 (3): 205–223. https://doi.org/10.1016/j.soildyn.2004.10.009.
Liu, Q., and R. Wang. 2012. “Dynamic response of twin closely-spaced circular tunnels to harmonic plane waves in a full space.” Tunnelling Underground Space Technol. 32: 212–220. https://doi.org/10.1016/j.tust.2012.07.001.
Liu, Q., M. Zhao, and L. Wang. 2013. “Scattering of plane P, SV or Rayleigh waves by a shallow lined tunnel in an elastic half space.” Soil Dyn. Earthquake Eng. 49: 52–63. https://doi.org/10.1016/j.soildyn.2013.02.007.
Liu, Z., X. Ju, C. Wu, and J. Liang. 2017. “Scattering of plane P1 waves and dynamic stress concentration by a lined tunnel in a fluid-saturated poroelastic half-space.” Tunnelling Underground Space Technol. 67: 71–84. https://doi.org/10.1016/j.tust.2017.04.017.
Lu, S., C. Zhou, Z. Zhang, and N. Jiang. 2019. “Particle velocity response of surrounding rock of a circular tunnel subjected to cylindrical P-waves.” Tunnelling Underground Space Technol. 83: 393–400. https://doi.org/10.1016/j.tust.2018.09.020.
Pao, Y. H., C. C. Mow, and J. D. Achenbach. 1973. Diffraction of elastic waves and dynamic stress concentrations. New York: Crane, Russak.
Parramontesinos, G. J. 2006. “Evaluation of soil-structure interaction and structural collapse in daikai subway station during Kobe earthquake.” ACI Struct. J. 103 (1): 113–122.
Parvanova, S. L., P. S. Dineva, G. D. Manolis, and F. Wuttke. 2014. “Seismic response of lined tunnels in the half-plane with surface topography.” Bull. Earthquake Eng. 12 (2): 981–1005. https://doi.org/10.1007/s10518-013-9546-0.
Wang, C., H. Li, Q. Zhou, and X. Xia. 2011. “Parameters sensitivity analysis of dynamic stress concentration for deep buried tunnel under incident plane waves.” [In Chinese.] Rock Soil Mech. 32 (3): 775–780.
Wang, S., and B. Gao. 2016. “Damping mechanism and shaking table test on mountain tunnel linings with buffer layers.” [In Chinese.] Chin. J. Rock Mech. Eng. 35 (3): 592–603.
Wang, W. L., T. T. Wang, J. J. Su, C. H. Lin, C. R. Seng, and T. H. Huang. 2001. “Assessment of damage in mountain tunnels due to the Taiwan Chi-Chi Earthquake.” Tunnelling Underground Space Technol. 16 (3): 133–150. https://doi.org/10.1016/S0886-7798(01)00047-5.
Wang, Y., G. Y. Gao, J. Yang, and X. Y. Bai. 2017. “Transient dynamic response of a shallow buried lined tunnel in saturated soil.” Soil Dyn. Earthquake Eng. 94: 13–17. https://doi.org/10.1016/j.soildyn.2016.12.011.
Xu, C. J., H. B. Ding, L. H. Tong, W. J. Luo, and N. Wang. 2019. “Scattering of a plane wave by shallow buried cylindrical lining in a poroelastic half-space.” Appl. Math. Modell. 70: 171–189. https://doi.org/10.1016/j.apm.2019.01.029.
Xu, C. J., H. B. Ding, L. H. Tong, and Y. Y. Yang. 2018. “Scattering wave generated by the cylindrical lining in saturated soil based on the nonlocal-Biot theory.” [In Chinese.] Chin. J. Geotech. Eng. 40 (09): 1563–1570. https://doi.org/10.11779/CJGE201809001.
Xu, H., T. Li, J. Xu, and Y. Wang. 2014. “Dynamic response of underground circular lining tunnels subjected to incident P waves.” Math. Prob. Eng. 2014: 297424. https://doi.org/10.1155/2014/297424.
Yashiro, K., Y. Kojima, and M. Shimizu. 2007. “Historical earthquake damage to tunnels in Japan and case studies of railway tunnels in the 2004 Niigataken-Chuetsu earthquake.” Q. Rep. RTRI 48 (3): 136–141. https://doi.org/10.2219/rtriqr.48.136.
Yi, C. P., W. B. Lu, P. Zhang, D. Johansson, and U. Nyberg. 2016. “Effect of imperfect interface on the dynamic response of a circular lined tunnel impacted by plane P-waves.” Tunnelling Underground Space Technol. 51: 68–74. https://doi.org/10.1016/j.tust.2015.10.011.
Yi, C. P., P. Zhang, D. Johansson, and U. Nyberg. 2014. “Dynamic response of a circular lined tunnel with an imperfect interface subjected to cylindrical P-waves.” Comput. Geotech. 55: 165–171. https://doi.org/10.1016/j.compgeo.2013.08.009.
Yu, H., J. Chen, Y. Yuan, and X. Zhao. 2016. “Seismic damage of mountain tunnels during the 5.12 Wenchuan earthquake.” J. Mt. Sci. 13 (11): 1958–1972. https://doi.org/10.1007/s11629-016-3878-6.
Zhao, W., W. Chen, and D. Yang. 2018. “Effect of an imperfect interface on seismic response of a composite lining tunnel subjected to SH-waves.” Int. J. Geomech. 18 (18): 04018177. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001317.
Information & Authors
Information
Published In
International Journal of Geomechanics
Volume 20 • Issue 9 • September 2020
Copyright
© 2020 American Society of Civil Engineers.
History
Received: Jul 11, 2019
Accepted: Apr 24, 2020
Published online: Jul 7, 2020
Published in print: Sep 1, 2020
Discussion open until: Dec 7, 2020
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.