Skip to main content
Log in

Considerations on seismic microzonation in areas with two-dimensional hills

  • Published:
Journal of Earth System Science Aims and scope Submit manuscript

Abstract

This paper presents the results of an extensive numerical parametric study on seismic behavior of 2D homogenous hills subjected to vertically propagating incident SV waves. It is shown that the amplification potential of these hills is strongly influenced by the wavelength, by the shape ratio, by the shape of the hill and in a less order of importance, by the Poisson ratio of the media. The 2D topography effect could be ignored, only if the hill has a shape ratio of less than 0.1 or if it is subjected to incident waves with predominant dimensionless periods of greater than 13 times the shape ratio. In incidence of waves with wavelengths longer than the width of the hill, the amplification curve usually finds its maximum at the crest and decreases towards the base of the hill. Else, some de-amplification zones would occur along the hill. Among hills with similar shape ratios, those with intermediate cross section areas show intermediate seismic behavior, too. Estimated seismic site coefficients for the crest of a 2D rocky hill depend on its shape ratio and could reach even 1.7, which encourages one to classify it according to standard site categorization procedures as soil profile types SC or SD instead of the conventional SB type.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aki K and Larner K 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 

  • Ashford S A, Sitar N, Lysmer J and Deng N 1997 Topographic Effects on the Seismic Response of Steep Slopes; Bull. Seismol. Soc. Am. 87 701–709.

    Google Scholar 

  • Association Française du Genie Parasismique (AFPS) 1990 Recommandations de la AFPS. Paris: AFPS, 183 pp.

    Google Scholar 

  • Athanasopoulos G A, Pelekis PC and Leonidou E A 1999 Effects of Surface Topography on Seismic Ground Response in the Egion (Greece) 15-6-1995 Earthquake; Soil Dynamics and Earthquake Engineering 18 135–149.

    Article  Google Scholar 

  • Bard P Y 1982 Diffracted waves and displacement field over two-dimensional elevated topographies; Geophys. J. R. Astr. Soc. 71 731–760.

    Google Scholar 

  • Beskos D E 1987 Boundary element methods in dynamic analysis; Appl. Mech. Rev. 40 1–23.

    Article  Google Scholar 

  • Beskos D E 1997 Boundary element methods in dynamic analysis: Part II (1986–1996); Appl. Mech. Rev. 50(3) 149–197.

    Article  Google Scholar 

  • Boore D M 1972 A note on the effect of simple topography on seismic SH waves; Bull. Seismol. Soc. Am. 62 275–284.

    Google Scholar 

  • Boore D M 1973 The effect of simple topography on seismic waves: implications for the accelerations recorded at Pacoima Dam, San Fernando Valley, California; Bull. Seismol. Soc. Am. 63 1603–1609.

    Google Scholar 

  • Borcherdt R D, Wentworth C M, Janssen A, Fumal T and Gibbs J 1991 Methodology for Predictive GIS Mapping of Special Study Zones for Strong Ground Shaking in the San Francisco Bay Region, California; Proc. Fourth Int. Conference Seismic Zonational (Stanford: California) 545–552.

  • Borcherdt R D 1994 Estimates of site-dependent response spectra for design (Methodology and Justification); Earthquake Spectra 10 617–653.

    Article  Google Scholar 

  • Bouchon M 1973 Effect of Topography on Surface Motion; Bull. Seismol. Soc. Am. 63 615–632.

    Google Scholar 

  • 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 

  • Bouckovalas G D and Kouretzis G 2001 Review of Soil and Topography Effects in the September 7, 1999 Athens (Greece) Earthquake; Proc. Fourth Int. Conference on Recent Advances in Geotechnical Earthquake Engg. and Soil Dyn. and Symposium in Honor of Professor W D Liam Finn (San Diego: California).

  • Bouckovalas G D and Papadimitriou A G 2005 Numerical evaluation of slope topography effects on seismic ground motion; Soil Dynamics and Earthquake Engineering 525 547–558.

    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 1147–1167.

    Google Scholar 

  • Celebi M 1991 Topographic and geological amplification: Case studies and engineering implications; Struct. Safety 10 199–217.

    Article  Google Scholar 

  • Eurocode 8 (EC8) 1998 Design provisions for earthquake resistance of structures.

  • Gaffet S and Bouchon M 1989 Effect of two-dimensional topographies using the discrete wavenumber-boundary integral equation method in P-SV cases; J. Acoust. Soc. Am. 83 2277–2283.

    Article  Google Scholar 

  • Geli L, Bard P V and Julien B 1988 The effect of topography on earthquake ground motion: A review and new results; Bull. Seismol. Soc. Am. 78 42–63.

    Google Scholar 

  • International Council of Building Officials (ICBO) 2006 International Building Code.

  • International Council of Building Officials (ICBO) 1997 Uniform Building Code.

  • Kamalian M 2001 Time Domain Two-Dimensional Hybrid FEM/BEM Dynamic Analysis of Non-Linear Saturated Porous Media; Ph.D. thesis, Tehran University, Tehran, Iran.

    Google Scholar 

  • Kamalian M, Gatmiri B and Sohrabi-Bidar A 2003a On Time-Domain Two-Dimensional Site Response Analysis of Topographic Structures by BEM; J. Seismol. Earthquake Engg. 5 35–45.

    Google Scholar 

  • Kamalian M, Jafari M K, Dehghan K, Sohrabi-Bidar A and Razmkhah A 2003b Two-Dimensional Hybrid Response Analysis of Trapezoidal Shaped Hills in Time Domain, Advances in Boundary Element Techniques IV (eds) Gallego R and Aliabadi M H, 231–236.

  • Kamalian M, Jafari M K, Sohrabi-Bidar A, Razmkhah A and Gatmiri B 2006 Time-Domain Two-Dimensional Site Response Analysis of Non-Homogeneous Topographic Structures by A Hybrid FE/BE Method; Soil Dynamics and Earthquake Engineering 26 753–765.

    Article  Google Scholar 

  • Kamalian M, Gatmiri B, Sohrabi-Bidar A and Khalaj A 2007 Amplification Pattern of 2D Semi-Sine Shaped Valleys Subjected to Vertically Propagating Incident Waves; Commun. Numer. Meth. Engg. 23 871–887.

    Article  Google Scholar 

  • Moczo P, Bystricky E, Kristek J, Carcione J M and Bouchon M 1997 Hybrid modeling of P-SV seismic motion at inhomogeneous viscoelastic topographic structures; Bull. Seismol. Soc. Am. 87 1305–1323.

    Google Scholar 

  • Pedersen H A, Sánchez-Sesma F J and Campillo M 1994 Three-dimensional scattering by two-dimensional topographies; Bull. Seismol. Soc. Am. 84 1169–1183.

    Google Scholar 

  • Sánchez-Sesma F J 1983 Diffraction of elastic waves by three-dimensional surface irregularities; Bull. Seismol. Soc. Am. 73 1621–1636.

    Google Scholar 

  • Sánchez-Sesma F J 1987 Site effects on strong ground motion; Soil Dynamics and Earthquake Engineering 6 124–132.

    Article  Google Scholar 

  • Sánchez-Sesma F J and Campillo M 1991 Diffraction of P, SV and Rayleigh waves by topographic features: A boundary integral formulation; Bull. Seismol. Soc. Am. 81 2234–2253.

    Google Scholar 

  • Sánchez-Sesma F J and Campillo M 1993 Topographic effects for incident P, SV and Rayleigh waves; Tectonophys. 218 113–125.

    Article  Google Scholar 

  • Sánchez-Sesma F J, Palencia V J and Luzon F 2002 Estimation of local site effects during earthquakes: An overview; ISET Journal of Earthquake Technology 39 167–193.

    Google Scholar 

  • Spudich P, Hellweg M and Lee W H K 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 S139–S208.

    Google Scholar 

  • Takenaka H, Kennett B L N and Fujiwara H 1996 Effect of 2-D topography on the 3-D seismic wavefield using a 2.5-dimensional discrete wavenumber — boundary integral equation method; Geophys. J. Int. 124 741–755.

    Article  Google Scholar 

  • The Technical Committee for Earthquake Geotechnical Engineering (TC4) 1993 Manual for Zonation on Seismic Geotechnical Hazard; The Japanese Society of Soil Mechanics and Foundation Engineering.

  • Trifunac M D and Hudson D E 1971 Analysis of the Pacoima Dam accelerograms — San Fernando earthquake of 1971; Bull. Seismol. Soc. Am. 61 1393–1411.

    Google Scholar 

  • Zhang B, Papageorgiou A S and Tassoulas J L 1998 A hybrid numerical technique, combining the finite-element and boundary-element methods, for modeling the 3D response of 2D scatterers; Bull. Seismol. Soc. Am. 88 1036–1050.

    Google Scholar 

  • Zhang C and Zhao C 1988 Effects of canyon topography and geological conditions on strong ground motion; Earthquake Engg. Structural Dyn. 16 81–97.

    Article  Google Scholar 

  • Zhao C and Valliappan S 1993 Incident P and SV wave scattering effects under different canyon topographic and geological conditions; Int. J. Numer. Anal. Meth. Geomech. 17 73–94.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kamalian, M., Sohrabi-Bidar, A., Razmkhah, A. et al. Considerations on seismic microzonation in areas with two-dimensional hills. J Earth Syst Sci 117 (Suppl 2), 783–796 (2008). https://doi.org/10.1007/s12040-008-0069-z

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12040-008-0069-z

Keywords

Navigation