Skip to main content
Log in

Interaction of geometry and mechanical property of trapezoidal sedimentary basins with incident SH waves

  • Original Research Paper
  • Published:
Bulletin of Earthquake Engineering Aims and scope Submit manuscript

Abstract

This paper investigated the effects of basin geometry and material property on the response of 2D trapezoidal sediment-filled basin to incident plane SH waves. Ten basin configurations with different geometries were developed, and then their seismic responses to both Ricker wavelets and seismic records were simulated by using an explicit finite difference scheme. The definition of deep/shallow basin, the precondition for the observation of prominent surface waves and the influential area of edge effects of the shallow basin were discussed quantitatively in this study. The followings were concluded: in the common velocity contrast range (v s1/v s2 < 10), the fundamental frequency a basin with W/H > 3.0 can be estimated approximately by 1D theory. The complexity of peak ground acceleration distribution pattern, the width of the most affected section as well as the amplitude of ground motion in the Edge Region increase with incident frequency. Prominent surface waves can only be observed when the incident wavelength is shorter than the critical wavelength λ c . The interaction between incident wave and basin dynamic property plays a dominant role on the peak ground acceleration amplitude while the interaction between incident wave and geometry plays a more significant role on the peak ground acceleration distribution. For very shallow basin, different areas along the basin width are affected to different extents. Only a limited area close to the basin edge is influenced significantly. It is more feasible to propose spectral aggravation factor for different surface zones respectively than a uniform constant as a tool to calibrate the 1D-based design spectrum so as to take the basin effects into account.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16
Fig. 17
Fig. 18
Fig. 19
Fig. 20
Fig. 21
Fig. 22
Fig. 23

Similar content being viewed by others

References

  • Adams BM, Neal MO, Taber JJ (2003) The basin-edge effect from weak ground motions across the fault-bounded edge of the Lower Hutt Valley, New Zealand. Bull Seismol Soc Am 93(6):2703–2716

    Article  Google Scholar 

  • Aki K, Larner KL (1970) Surface motion of a layered medium having an irregular interface due to incident plane SH waves. J Geophys Res 75:933–954

    Article  Google Scholar 

  • Aki K, Richards PG (1980) Quantitative seismology: theory and methods, vols I, II. WH. Freeman and Company, New York

    Google Scholar 

  • Alterman Z, Karal FC (1968) Propagation of elastic waves in layered media by finite difference methods. Bull Seismol Soc Am 63:615–632

    Google Scholar 

  • Bard PY, Bouchon M (1980a) The seismic response of sediment-filled valleys. Part 1. The case of incident SH waves. Bull Seismol Soc Am 70(4):1263–1286

    Google Scholar 

  • Bard PY, Bouchon M (1980b) The seismic response of sediment-filled valleys. Part 2. The case of incident P and SH waves. Bull Seismol Soc Am 70(5):1921–1941

    Google Scholar 

  • Bard PY, Bouchon M (1985) The two-dimensional resonance of sediment-filled valleys. Bull Seismol Soc Am 75(2):519–541

    Google Scholar 

  • Ben-Menahem A, Singh SJ (1981) Seismic waves and sources. Springer-Verlag, New York, p 1108

    Book  Google Scholar 

  • Bindi D, Parolai S, Cara F, Giulio GD, Ferretti G, Luzi L, Monachesi G, Pacor F, Rovelli A (2009) Site amplification observed in the Gubbio Basin, Central Italy: hints for lateral propagation effects. Bull Seismol Soc Am 99(2A):741–760

    Article  Google Scholar 

  • Boore DM, Larner KL, Aki K (1971) Comparison of two independent methods for the solution of wave scattering problems: response of a sedimentary basin to incident SH waves. J Geophys Res 76:558–569

    Article  Google Scholar 

  • Chávez-García FJ, Faccioli E (2000) Complex site effects and building codes: making the leap. J Seismol 4:23–40

    Article  Google Scholar 

  • Chávez-García FJ, Rodriguez M, Stephenson WR (1998) 1D vs. 2D site effects. The case of Parkway basin, New Zealand. In: 11th European Conference on Earthquake Engineering, Balkema, Rotterdam

  • Chávez-García FJ, Raptakis D, Makra K, Pitilakis K (2000) Site effects at EURO-SEISTEST-II: results from 2-D numerical modelling and comparison with observation. Soil Dyn Earthq Eng 19(1):23–39

    Article  Google Scholar 

  • Chen G, Jin D, Zhu J, Shi J, Li X (2015) Nonlinear analysis on seismic site response of Fuzhou Basin, China. Bull Seismol Soc Am 105:928–949

    Article  Google Scholar 

  • Choi Y, Stewart JP, Graves RW (2005) Empirical model for basin effects accounts for basin depth and source location. Bull Seismol Soc Am 95:1412–1427

    Article  Google Scholar 

  • Cundall PA (2008) FLAC3D manual: a computer program for fast Lagrangian analysis of Continua (Version 4.0). Minneapolis, MN

  • Edward HF (1996) Spectral amplification in a sediment-filled valley exhibiting clear basin-edge-induced waves. Bull Seismol Soc Am 86(4):991–1005

    Google Scholar 

  • Field EH (1996) Spectral amplification in sediment-filled valley exhibition clear basin-induced waves. Bull Seismol Soc Am 86:991–1005

    Google Scholar 

  • Gazetas G, Fan K, Tazoh T, Shimizu K (1993) Seismic response of the pile foundation of Ohba Ohashi Bridge. In: Proceeding of the 3rd international conference on case history in geotechnical engineering, pp 1803–1809

  • Gelagoti F, Kourkoulis R, Anastasopoulos I, Tazoh T, Gazetas G (2010) Seismic wave propagation in a very soft alluvial valley: sensitivity to ground-motion details and soil nonlinearity and generation of a parasitic vertical component. Bull Seismol Soc Am 100(6):3035–3054

    Article  Google Scholar 

  • Gelagoti F, Kourkoulis R, Anastasopoulos I, Gazetas G (2012) Nonlinear dimensional analysis of trapezoidal valleys subjected to vertically propagating SV waves. Bull Seismol Soc Am 102(3):999–1017

    Article  Google Scholar 

  • Gil-Zepeda SA, Montalvo-Arrieta JC, Vai R, Sanchez-Sesma FJ (2003) A hybrid indirect boundary element discrete wave number method applied to simulate the seismic response of stratified alluvial valleys. Soil Dyn Earthq Eng 23:77–86

    Article  Google Scholar 

  • Hasal ME, Iyisan R (2014) A numerical study on comparison of 1D and 2D seismic responses of a basin in Turkey. Am J Civ Eng 2(5):123–133

    Article  Google Scholar 

  • Hashash Y (2015) Geotechnical field reconnaissance: Gorkha (Nepal) earthquake of April 25, 2015 and related shaking sequence. Report No. GEER-040, Illinois, USA

  • Hong TL, Helmberger DV (1978) Glorified optics and wave propagation in nonplanar structure. Bull Seismol Soc Am 68:1313–1330

    Google Scholar 

  • Hudson JA (1962) The total internal reflection of SH waves. Geophys J R Astron Soc 6:509–531

    Article  Google Scholar 

  • Iyisan R, Khanbabazadeh H (2013) A numerical study on the basin edge effect on soil. Bull Earthq Eng 11:1305–1323

    Article  Google Scholar 

  • Kawase H (1996) The cause of the damage belt in Kobe: “The basin-edge effect”, constructive interference of the direct S-wave with the basin induced diffracted/Rayleigh waves. Seismol Res Lett 67(5):25–34

    Article  Google Scholar 

  • Kawase H, Aki K (1989) A study on the response of a soft basin for incident S, P and Rayleigh waves with special reference to the long duration observed in Mexico City. Bull Seismol Soc Am 79:361–1382

    Google Scholar 

  • Kawase H, Sato T (1992) Simulation analysis of strong motions in the Ashigara Valley considering one-and two-dimensional geological structures. J Phys Earth 40:27–56

    Article  Google Scholar 

  • Khanbabazadeh H, Iyisan R (2014) A numerical study on the 2D behaviour of the single and layered clay basins. Bull Earthqe Eng 12(4):1515–1537

    Article  Google Scholar 

  • Kuhlemeyer RL, Lysmer J (1973) Finite element method accuracy for wave propagation problems. J Soil Mech Found Div ASCE 99:421–427

    Google Scholar 

  • Lenti L, Martino S, Paciello A, Scarascia Mugnozza G (2009) Evidence of two-dimensional amplification effects in an alluvial valley (Valnerina, Italy) from velocimetric records and numerical models. Bull Seismol Soc Am 99:1612–1635

    Article  Google Scholar 

  • Lysmer J, Kuhlemeyer RL (1969) Finite dynamic model for infinite media. J Eng Mech 95:859–877

    Google Scholar 

  • Makra K, Raptakis D, Chavez-Garcia FJ, Pitilakis K (2001) Site effects and design provisions: the case of Euroseistest. Pure appl Geophys 158:2349–2367

    Article  Google Scholar 

  • Makra K, Chavez-Garcia FJ, Raptakis D, Pitilakis K (2005) Parametric analysis of the seismic response of a 2D sedimentary valley: implications for code implementations of complex site effects. Soil Dyn Earthq Eng 19:1–22

    Google Scholar 

  • Marsh J, Larkin TJ, Haines AJ, Benites RA (1995) Comparison of linear and nonlinear seismic responses of two-dimensional alluvial basins. Bull Seismol Soc Am 85:874–889

    Google Scholar 

  • Moczo P, Bard PY (1993) Wave diffraction, amplification and differential motion near strong lateral discontinuities. Bull Seismol Soc Am 83(1):85–106

    Google Scholar 

  • Ohtsuki A, Harumi AK (1983) Effect of topography and subsurface inhomogeneities on seismic SV waves. Earthq Eng Struct Dyn 25:303–315

    Google Scholar 

  • Ohtsuki A, Yamahara H, Tazoh T (1984) Effect of lateral inhomogeneity on seismic waves, II. Observation and analysis. Earthq Eng Struct Dyn 12:795–816

    Article  Google Scholar 

  • Olsen KB, Akinci A, Rovelli A, Marra F, Malagnini L (2006) 3D ground motion estimation in Rome, Italy. Bull Seismol Soc Am 96(1):133–146

    Article  Google Scholar 

  • Pavlenko OV (2001) Nonlinear seismic effects in soils: numerical simulation and study. Bull Seismol Soc Am 91(2):381–396

    Article  Google Scholar 

  • Pitilakis K (2004) Site effects. In: Ansal A (ed) Recent advances in earthquake geotechnical engineering and microzonation, vol 1. Kluwer Academic Publishers, Dordrecht, pp 139–193

    Chapter  Google Scholar 

  • Psarropoulos PN, Tazoh T, Gazetas G, Apostolou M (2007) Linear and nonlinear valley amplification effects on seismic ground motion. Soils Found 47(5):857–871

    Article  Google Scholar 

  • Raptakis D, Chávez-García FJ, Makra K, Pitilakis K (2000) Site effect at Euroseistest-I. Determination of the valley structure and confrontation of observations with 1D analysis. Soil Dyn Earthq Eng 19:1–22

    Article  Google Scholar 

  • Raptakis D, Manakou M, Chávez-García FJ, Makra K, Pitilakis K (2005) 3D configuration of Mygdonian basin and preliminary estimate of its site response. Soil Dyn Earthq Eng 25(11):871–887

    Article  Google Scholar 

  • Riga ED (2015) New elastic spectra, site amplification factors and aggravation factors for complex subsurface geology, towards the improvement of EC8. Dissertation, Ph.D. thesis, Aristotle University of Thessaloniki, Greece

  • Rovelli A, Scognamiglio L, Marra F, Caserta A (2001) Edge-diffracted 1-sec surface waves observed in a small-size intramountain basin (Colfiorito, Central Italy). Bull Seismol Soc Am 91:1851–1866

    Article  Google Scholar 

  • Sánchez-Sesma FJ, Chávez-García FJ, Bravo MA (1988) Seismic response of a class of alluvial valley for incident SH waves. Bull Seismol Soc Am 78(1):83–95

    Google Scholar 

  • Semblat JF, Dangla P, Kham M (2002) Seismic site effects for shallow and deep alluvial basins: In-depth motion and focusing effect. Soil Dyn Earthq Eng 22:849–854

    Article  Google Scholar 

  • Shani-Kadmiel S, Tsesarsky M, Louie JN, Gvirtzman Z (2012) Simulation of seismic-wave propagation through geometrically complex basins: the Dead Sea Basin. Bull Seismol Soc Am 102(4):1729–1739

    Article  Google Scholar 

  • Smith WD (1975) The application of finite element analysis to body wave propagation problems. Geophys J R Astron Soc 42:747–768

    Article  Google Scholar 

  • Stoneley R (1958) The variation of amplitude and energy with depth in Love waves. Contributions in Geophysics: in honor of Beno Gutenberg, P36. Pergamon Press, London

    Google Scholar 

  • Trifunac MD (1971) Surface motion of a semi-cylindrical alluvial valley for incident plane SH waves. Bull Seismol Soc Am 61:1755–1770

    Google Scholar 

  • Wong TL, Trifunac MD (1974) Surface motion of a semi-elliptical alluvial valley for incident plane SH waves. Bull Seismol Soc Am 64:1389–1408

    Google Scholar 

  • Zahradnik J (1995) Simple elastic finite-difference scheme. Bull Seismol Soc Am 85:1879–1887

    Google Scholar 

  • Zhang B, Papageorgiou AS (1996) Simulation of the response of the Marina District basin, San Francisco, California, to the 1989 Loma Prieta earthquake. Bull Seismol Soc Am 86:1382–1400

    Google Scholar 

Download references

Acknowledgments

This study is partially sponsored by the China Scholarship Council and the Queensland University of Technology (QUT). The first author would like to acknowledge their support for this research and at the same time express his sincere gratitude to Prof. Pitilakis K. and Dr. Riga E. (Aristotle University of Thessaloniki, Greece) as well as Prof. Chávez García F.J. (National Autonomous University of Mexico, Mexico) for their face-to-face discussions with the first author on this research, and the assistance of Prof. Bard P.Y. (University Joseph Fourier-Grenoble, France) and Prof. Zhang J. (Southwest Jiaotong University, China) via email.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Chuanbin Zhu.

Appendix

Appendix

See Table 2.

Table 2 Real seismic records used as input motion

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhu, C., Thambiratnam, D. Interaction of geometry and mechanical property of trapezoidal sedimentary basins with incident SH waves. Bull Earthquake Eng 14, 2977–3002 (2016). https://doi.org/10.1007/s10518-016-9938-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-016-9938-z

Keywords

Navigation