Skip to main content
Log in

Topographic proxies from 2-D numerical analyses

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

Abstract

We use 2D numerical analyses at ground motion stations from the NGA-West2 dataset to develop parameters to predict the effect of surface topography on response spectra. The simplistic numerical analyses use sinusoidal input motions, uniform soil profiles, elastic soil properties, and absorbing boundary conditions. We define several topographic parameters for stations using the natural logarithm of 2D amplifications in peak ground acceleration of a sinusoidal input motion in different orientations. The natural log of 2D amplifications when averaged over multiple orientations is found to have the most predictive power among the studied parameters. We also explore the relationship between the topographic parameters developed in this study, and the topographic parameters developed at the same sites in an earlier study (Rai et al. in Earthq Spectra, 2016b).

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

Similar content being viewed by others

References

  • Assimaki D, Gazetas G (2004) Soil and topographic amplification on canyon banks and the 1999 Athens earthquake. J Earthq Eng 8(01):1–43

    Google Scholar 

  • Assimaki D, Jeong S (2013) Ground-motion observations at Hotel Montana during the M 7.0 2010 Haiti earthquake: topography or soil amplification? Bull Seismol Soc Am 103(5):2577–2590

    Article  Google Scholar 

  • Assimaki D, Gazetas G, Kausel E (2005) Effects of local soil conditions on the topographic aggravation of seismic motion: parametric investigation and recorded field evidence from the 1999 Athens earthquake. Bull Seismol Soc Am 95(3):1059–1089

    Article  Google Scholar 

  • Bard P-Y (1982) Diffracted waves and displacement field over two-dimensional elevated topographies. Geophys J Int 71(3):731–760

    Article  Google Scholar 

  • Boore DM, Harmsen SC, Harding ST (1981) Wave scattering from a step change in surface topography. Bull Seismol Soc Am 71(1):117–125

    Google Scholar 

  • Bouchon M (1973) Effect of topography on surface motion. Bull Seismol Soc Am 63(2):615–632

    Google Scholar 

  • Bouchon M, Barker JS (1996) Seismic response of a hill: the example of Tarzana, California. Bull Seismol Soc Am 86(1A):66–72

    Google Scholar 

  • Bouckovalas GD, Papadimitriou AG (2005) Numerical evaluation of slope topography effects on seismic ground motion. Soil Dyn Earthq Eng 25(7–10):547–558

    Article  Google Scholar 

  • Burjánek J, Edwards B, Fäh D (2014) Empirical evidence of local seismic effects at sites with pronounced topography: a systematic approach. Geophys J Int 197(1):608–619

    Article  Google Scholar 

  • Celebi M (1987) Topographical and geological amplifications determined from strong-motion and aftershock records of the 3 March 1985 Chile earthquake. Bull Seismol Soc Am 77(4):1147–1167

    Google Scholar 

  • Chiou BS-J, Youngs RR (2014) Update of the Chiou and Youngs NGA model for the average horizontal component of peak ground motion and response spectra. Earthq Spectra 30(3):1117–1153

    Article  Google Scholar 

  • Cleveland WS, Grosse E, Shyu WM (1992) Local regression models. In: Statistical models in S 2, pp 309–376

  • Davis LL, West LR (1973) Observed effects of topography on ground motion. Bull Seismol Soc Am 63(1):283–298

    Google Scholar 

  • ESRI (2011) ArcGIS Desktop: Release 10. Redlands, CA

  • Geli L, Bard P-Y, Jullien B (1988) The effect of topography on earthquake ground motion: a review and new results. Bull Seismol Soc Am 78(1):42–63

    Google Scholar 

  • Griffiths DW, Bollinger GA (1979) The effect of Appalachian Mountain topography on seismic waves. Bull Seismol Soc Am 69(4):1081–1105

    Google Scholar 

  • Hartzell SH, Carver DL, King KW (1994) Initial investigation of site and topographic effects at Robinwood Ridge, California. Bull Seismol Soc Am 84(5):1336–1349

    Google Scholar 

  • Hatzfeld D, Nord J, Paul A, Guiguet R, Briole P, Ruegg J-C, Cattin R, Armijo R, Meyer B, Hubert A, Bernard P, Makropoulos K, Karakostas V, Papaioannou C, Papanastassiou D, Veis G (1995) The Kozani-Grevena (Greece) earthquake of May 13, 1995, Ms = 6.6. Preliminary results of a field multidisciplinary survey. Seismol Res Lett 66(6):61–70

    Article  Google Scholar 

  • Itasca Consulting Group, Inc. (2005) FLAC: fast Lagrangian analysis of continua. User’s manual

  • Kawase H, Aki K (1990) Topography effect at the critical SV-wave incidence: possible explanation of damage pattern by the Whittier Narrows, California, earthquake of 1 October 1987. Bull Seismol Soc Am 80(1):1–22

    Google Scholar 

  • Lee WHK, White RA, Harlow DH, Rogers JA, Spudich P, Dodge DA (1994) Digital seismograms of selected aftershocks of the Northridge earthquake recorded by a dense seismic array on February 10, 1994, at Cedar Hill Nursery in Tarzana, California, U.S. Geological Survey Open-File Report 94-234

  • Lysmer J, Kuhlemeyer RL (1969) Finite dynamic model for infinite media. J Eng Mech Div 95(4):859–878

    Google Scholar 

  • Maufroy E, Cruz-Atienza V, Cotton F, Gaffet S (2015) Frequency-scaled curvature as a proxy for topographic site-effect amplification and ground motion variability. Bull Seismol Soc Am 105(1):354–367

    Article  Google Scholar 

  • Meunier P, Hovius N, Haines JA (2008) Topographic site effects and the location of earthquake induced landslides. Earth Planet Sci Lett 275(3–4):221–232

    Article  Google Scholar 

  • Rai M, Rodriguez-Marek A, Yong A (2016a) An empirical model to predict topographic effects in strong ground motion: study using California small to medium magnitude earthquake database. Earthq Spectra 32(2):1033–1054

  • Rai M, Rodriguez-Marek A, Chiou BS-J (2016b) Empirical terrain-based topographic correction factors for use in ground motion prediction. Earthq Spectra (accepted)

  • Rogers AM, Katz LJ, Bennett TJ (1974) Topographic effects on ground motion for incident P waves: a model study. Bull Seismol Soc Am 64(2):437–456

    Google Scholar 

  • Sanchez-Sesma FJ (1990) Elementary solutions for the response of a wedge-shaped medium to incident SH and SV waves. Bull Seismol Soc Am 80:737–742

    Google Scholar 

  • Sanchez-Sésma FJ (1983) Diffraction of elastic waves by three-dimensional surface irregularities. Bull Seismol Soc Am 73:1621–1636

    Google Scholar 

  • Spudich P, Hellweg M, Lee WHK (1996) Directional topographic site response at Tarzana observed in aftershocks of the 1994 Northridge, California, earthquake: implications for mainshock motions. Bull Seismol Soc Am 86(1B):S193–S208

    Google Scholar 

  • Trifunac MD, Hudson DE (1971) Analysis of the Pacoima dam accelerogram—San Fernando, California, earthquake of 1971. Bull Seismol Soc Am 61(5):1393–1411

    Google Scholar 

  • Tripe R, Kontoe S, Wong T (2013) Slope topography effects on ground motion in the presence of deep soil layers. Soil Dyn Earthq Eng 50:72–84

    Article  Google Scholar 

  • Tucker BE, King JL, Hatzfeld D, Nersesov IL (1984) Observations of hard-rock site effects. Bull Seismol Soc Am 74(1):121–136

    Google Scholar 

Download references

Acknowledgments

This research was partially supported by the National Science Foundation under award number CMII 1132373 and the California Strong Motion Instrumentation Program (CSMIP) under Standard Agreement No. 1012-955. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation or CSMIP.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Manisha Rai.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rai, M., Rodriguez-Marek, A. & Asimaki, D. Topographic proxies from 2-D numerical analyses. Bull Earthquake Eng 14, 2959–2975 (2016). https://doi.org/10.1007/s10518-016-9933-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10518-016-9933-4

Keywords

Navigation