Skip to main content
Log in

A comparative study on linear and nonlinear site response analysis

  • Original Article
  • Published:
Environmental Geology

Abstract

Site response analysis is usually the first step of any seismic soil-structure study. Geotechnical earthquake engineers and engineering geologist have been trying to find both practical and most appropriate solution techniques for ground response analysis under earthquake loadings. The paper attempts to give a critical overview of the field of site response analysis. In this paper, the influences of nonlinearity on the site response analysis summarized and were evaluated with a numerical example. Site response of a two layered soil deposit with the assumption of linear and rigid base bedrock (or viscoelastic half-space) was analyzed by using linear and nonlinear approaches. The amplification spectrum of the soil column is computed between the top and the bottom of this soil deposit. Nonlinear analysis was compared with the linear method of analysis. Steps involved in ground response analyses to develop site-specific response spectra at a soil site are briefly summarized. Some of the well-known site response analysis methods are summarized and similarities and differences between linear and nonlinear methods are compared by a numerical example.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11

Similar content being viewed by others

References

  • Bardet JP, Tobita T (2001) NERA: a computer program for nonlinear earthquake site response analyses of layered soil deposits, Department of Civil Engineering, University of Southern California, Los Angeles, CA, 43 pp

  • Bardet JP, Ichii K, Lin CH (2000) EERA: a computer program for equivalent–linear earthquake site response analyses of layered soil deposits, Department of Civil Engineering, University of Southern California, Los Angeles, CA, 37 pp

  • Boatwright J, Fletcher JB, Fumal TE (1991) A general inversion scheme for source, site, and propagation characteristics using multiply recorded sets of moderate-sized earthquakes. Bull Seismol Soc Am 81:1754–1782

    Google Scholar 

  • Borcherdt RD (1970) Effects of local geology on ground notion near San Francisco Bay. Bull Seismol Soc Am 60:29–81

    Google Scholar 

  • Borja RI, Chao H-Y, Montans FJ, Lin C-H (1999) Nonlinear ground response at Lotung LSST site. J Geotech Geoenviron Eng 125(3):187–197

    Article  Google Scholar 

  • Field EH, Jacob KH (1995) A comparison and test of various site-response estimation techniques, including three that are not reference-site dependent. Bull Seism Soc Am 85:1127–1143

    Google Scholar 

  • Field EH, Johnson PA, Beresnev IA, Zeng Y (1997) Nonlinear ground-motion amplification by sediments during the 1994 Northridge earthquake. Nature 390:599–602

    Article  Google Scholar 

  • Field EH, Kramer S, Elgamal A-W, Bray JD, Matasovic N, Johnson PA, Cramer C, Roblee C, Wald DJ, Bonilla LF, Dimitriu PP, Anderson JG (1998) Nonlinear site response: where we’re at. Seismol Res Lett 69:230–234

    Google Scholar 

  • Finn WDL et al (1978) Comparison of dynamic analysis of saturated sand. Proc ASCE GT Spec Conf, pp 472–491

  • Huang HC, Shieh CS, Chiu HC (2001) Linear and nonlinear behaviors of soft soil layers using Lotung downhole array in Taiwan. Terr Atmos Ocean Sci 12:503–524

    Google Scholar 

  • Hwang HHM, Lee CS (1991) Parametric study of site response analysis. Soil Dyn Earthq Eng 10(6):282–290

    Article  Google Scholar 

  • Idriss IM, Sun JI (1992) User’s manual for SHAKE91: a computer program for conducting equivalent linear seismic response analyses of horizontally layered soil deposits. Center for Geotechnical Modelling, Department of Civil and Environmental Engineering, University of California

  • Iwata T, Irikura K (1988) Source parameters of the 1983 Japan Sea earthquake sequence. J Phys Earth 36:155–184

    Google Scholar 

  • Joyner WB, Chen ATF (1975) Calculation of nonlinear ground response in earthquakes. Bull Seismol Soc Am 65:1315–1336

    Google Scholar 

  • Kramer SL (1996) Geotechnical earthquake engineering. In: Prentice-Hall international series in civil engineering and engineering mechanics. Prentice-Hall, New Jersey

  • Lam I, Tsai CF, Martin GR (1978) Determination of site dependent spectra using nonlinear analysis. In: 2nd international conference on microzonation, San Francisco, CA

  • Lermo J, Chavez-Garcia FJ (1993) Site effects evaluation using spectral ratios with only one station. Bull Seismol Soc Am 83:1574–1594

    Google Scholar 

  • Nakamura Y (1988) On the urgent earthquake detection and alarm system (UrEDAS). In: Proceedings of World Conference in Earthquake Engineering

  • Rodriguez-Marek A, Williams JL, Wartman J, Repetto PC (2003) Southern Peru Earthquake of 23 June, 2001: Ground motions and site response, Earthquake Spectra. 19A:11–34

  • Schnabel PB, Lysmer J, Seed HB (1972) SHAKE: a computer program for earthquake response analysis of horizontally layered sites. Report No. EERC72-12, University of California, Berkeley

  • Seed HB, Idriss IM (1970) Soil moduli and damping factors for dynamic response analysis. Report No. EERC70-10, University of California, Berkeley

  • Seed HB, Whitman RV, Dezfulian H, Dobry R, Idriss IM (1972) Soil conditions and building damage in the 1967 Caracas earthquake. J Soil Mech Found Div ASCE 98:787–806

    Google Scholar 

  • Yamazaki F, Ansary MA (1997) Horizontal-to-vertical spectrum ratio of earthquake ground motion for site characterization. Earthq Eng Struct Dyn 26:671–689. JSSMFE: 14–31

    Google Scholar 

  • Yoshida N (1994) Applicability of conventional computer code SHAKE to nonlinear problem. In: Proceedings of symposium on amplification of ground shaking in soft ground

  • Yoshida N, Iai S (1998) Nonlinear site response analysis and its evaluation and prediction. In: 2nd international symposium on the effect of surface geology on seismic motion, Yokosuka, Japan, pp 71–90

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Haydar Arslan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Arslan, H., Siyahi, B. A comparative study on linear and nonlinear site response analysis. Environ Geol 50, 1193–1200 (2006). https://doi.org/10.1007/s00254-006-0291-4

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00254-006-0291-4

Keywords

Navigation