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Effects of complex interaction of Rayleigh waves with tunnel on the free surface ground motion and the strain across the tunnel-lining

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Abstract

The effects of complex interaction of Rayleigh waves with lined and unlined tunnels on the free surface ground motion and longitudinal and shear strains across the tunnel-lining are documented in this paper. The effects of depth and diameter of tunnel and the embedding sediment on the amplification and de-amplification of ground motion are studied in detail. The effects of depth of tunnel and the embedding sediment on the longitudinal and shear strains across the tunnel-lining are also studied in detail. The seismic responses of various tunnel models were simulated using a fourth-order accurate staggered-grid viscoelastic P–SV-wave finite-difference algorithm. The analyses of the simulated results reveal that the amplification/de-amplification caused by the tunnel increases with the decrease in depth of tunnel. Ground motion amplification was obtained between the source and the tunnel. An increase in amplification/de-amplification pattern with increase in S-wave velocity in the embedding sediment and the diameter of the tunnel for a fixed depth was obtained. It is concluded that the chances of failure of tunnel-lining due to strain may be just opposite side of the incoming Rayleigh wave in case of a shallow tunnel (<25 m deep) and at the top of the tunnel in case of deeper one (>25 m deep).

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References

  • Becker A, Davenport CA, Eichenberger U, Gilli E, Jeannin PY, Lacave C (2006) Speleoseismology: a critical perspective. J Seismol 10:371–388

    Article  Google Scholar 

  • Besharat V, Davoodi M, Jafari MK (2012) Effect of underground structure on free field ground motion during earthquakes. In: 15th World conference of earthquake engineering, Lisboa, Portugal

  • Bouchon M (1985) A simple, complete numerical solution to the problem of diffraction of SH-waves by an irregular surface. J Acoust Soc Am 77:1–5

    Article  Google Scholar 

  • Chaljub E, Moczo P, Tsuno S, Bard P-Y, Kristek J, Kaser M, Stupazzini M, Kristekova M (2010) Quantitative comparison of four numerical predictions of 3D ground motion in the Grenoble valley, France. Bull Seismol Soc Am 100:1427–1455

    Article  Google Scholar 

  • Clayton RW, Engquist B (1977) Absorbing boundary conditions for acoustic and elastic wave equations. Bull Seismol Soc Am 67:1529–1540

    Google Scholar 

  • Emmerich H, Korn M (1987) Incorporation of attenuation into time-domain computations of seismic wave fields. Geophysics 52(9):1252–1264

    Article  Google Scholar 

  • Gao Y, Zhang N, Li D, Liu H, Cai Y, Wu Y (2012) Effects of topographic amplifications induced by U-shaped canyon on seismic waves. Bull Seismol Soc Am 102:1748–1763

    Article  Google Scholar 

  • Geli L, Bard PY, Beatrice J (1988) The effect of topography on earthquake ground motion: a review and new results. Bull Seismol Soc Am 78:42–63

    Google Scholar 

  • Israeli M, Orszag SA (1981) Approximation of radiation boundary conditions. J Comput Phys 41:115–135. doi:10.1016/0021-9991(81)90082-6

    Article  Google Scholar 

  • Kristeck J, Moczo P (2003) Seismic wave propagation in viscoelastic media with material discontinuities—a 3 D 4th order staggered grid finite difference modeling. Bull Seismol Soc Am 93:2273–2280

    Article  Google Scholar 

  • Kumar S, Narayan JP (2008) Implementation of absorbing boundary conditions in a 4th order accurate SH-wave staggered grid finite difference program with variable grid size. Acta Geophys 56:1090–1108

    Article  Google Scholar 

  • Lanzano G, Bilotta E, Russo G (2013). Tunnel under seismic loading: a review of damage case histories and protection methods. Russo G.’s publications—Geotechpedia

  • Lee VW, Karl J (1992) Diffraction of SV-waves by underground circular cylindrical cavities. Soil Dyn Earthq Eng 11:445–456

    Article  Google Scholar 

  • Lee VW, Trifunac MD (1979) Response of tunnels to incident SH waves. J Eng Mech Div ASCE 105:643–659

    Google Scholar 

  • Li J, Yue Q, Chen J (2010) Dynamic response of utility tunnel during the passage of Rayleigh waves. Earthq Sci 23:13–24

    Article  Google Scholar 

  • Liang J, Ba Z, Lee VW (2007) Diffraction of plane SV waves by an underground circular cavity in a saturated poroelastic half-space. ISET J Earthq Technol 489:341–375

    Google Scholar 

  • Manoogian ME (1998) Surface motion above an arbitrarily shaped tunnel due to elastic SH waves. In: Proceedings of geotechnical earthquake engineering and soil dynamics III

  • Manoogian ME, Lee VW (1996) Diffraction of SH-waves by subsurface inclusions of arbitrary shape. J Eng Mech Div ASCE 122:123–129

    Article  Google Scholar 

  • Mitra PY, Kouretzis G, Bouckovalas G, Sofianos A (2007) Effect of underground structure in earthquake resistant design of surface structures. Dyn Response Soil Prop ASCE 223:1–10

    Article  Google Scholar 

  • Narayan JP (2010) Effects of impedance contrast and soil thickness on the basin transduced Rayleigh waves and associated differential ground motion. PAGEOPH 167:1485–1510

    Article  Google Scholar 

  • Narayan JP (2012) Effects of P-wave and S-wave impedance contrast on the characteristics of basin transduced Rayleigh waves. PAGEOPH 169:693–709

    Article  Google Scholar 

  • Narayan JP, Kumar S (2008) A 4th order accurate SH-wave staggered grid finite difference algorithm with variable grid size and VGR-stress imaging technique. Pure Appl Geophys 165:271–294

    Article  Google Scholar 

  • Narayan JP, Kumar S (2010) Study of effects of focal depth on the characteristics of Rayleigh waves using finite difference method. Acta Geophys 58:624–644

    Article  Google Scholar 

  • Narayan JP, Kumar V (2014a) A numerical study of effects of ridge-weathering and ridge-shape-ratio on the ground motion characteristics. J Seismol. doi:10.1007/s10950-014-9452-1

    Google Scholar 

  • Narayan JP, Kumar R (2014b) Spatial spectral amplification of basin-transduced Rayleigh waves. Nat Hazards 71:751–765

    Article  Google Scholar 

  • Narayan JP, Kumar V (2014c) P–SV wave time-domain finite-difference algorithm with realistic damping and a combined study of effects of sediment rheology and basement focusing. Acta Geophys 62:1214–1245

    Article  Google Scholar 

  • Narayan JP, Rao PVP (2003) Two and half dimensional simulation of ridge effects on the ground motion characteristics. Pure Appl Geophys 160:1557–1571

    Article  Google Scholar 

  • Sánchez-Merino AL, Fernández-Saéz J, Navarro C (2009) Simplified longitudinal seismic response of tunnels linings subjected to surface waves. Soil Dyn Earthq Eng 29:579–582

    Article  Google Scholar 

  • Savage WZ (2004) An exact solution for effects of topography on free Rayleigh waves. Bull Seismol Soc Am 94:1706–1727

    Article  Google Scholar 

  • Sextos A, Pitilakis K, Kappos A (2003) Inelastic dynamic analysis of RC bridges accounting for spatial variability of ground motion, site effects and soil-structure interaction phenomena. Part 2: parametric analysis. Earthq Eng Struct Dynam 32:6291652

    Google Scholar 

  • Sharma S, Judd WR (1991) Underground opening damage from earthquakes. Eng Geol 30:263–276

    Article  Google Scholar 

  • Smerzini C, Aviles J, Paolucci R, Sanchez-Sesma FJ (2009) Effect of underground cavities on surface earthquake ground motion under SH wave propagation. Earthq Eng Struct Dyn 38:1441–1460

    Article  Google Scholar 

  • Tsaur DH, Chang KH (2012) Multiple scattering of SH waves by an embedded truncated circular cavity. J Mar Sci Technol 20:73–81

    Google Scholar 

  • Wong YL, Lam ESS, Zhao JX, Chau KT (1998) Assessing seismic response of soft soil sites in Hong Kong using microtremor records. Hong Kong Inst Eng Trans 5(3):70–78

    Google Scholar 

  • Wu D, Gao B (2013) Dynamic analysis of tunnel entrance under the effect of Rayleigh wave. EJGE 18:4231–4246

    Google Scholar 

  • Zhou G, Xiaojun Li, Xingjun Qi (2010) Seismic response analysis of continuous rigid frame bridge considering canyon topography effects under incident SH-waves. Earthq Sci 23:53–61

    Article  Google Scholar 

Download references

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Correspondence to J. P. Narayan.

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Narayan, J.P., Kumar, D. & Sahar, D. Effects of complex interaction of Rayleigh waves with tunnel on the free surface ground motion and the strain across the tunnel-lining. Nat Hazards 79, 479–495 (2015). https://doi.org/10.1007/s11069-015-1853-0

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  • DOI: https://doi.org/10.1007/s11069-015-1853-0

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