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Effect of surface wave inversion non-uniqueness on 1D seismic ground response analysis

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Abstract

Surface wave methods are increasingly being used for geotechnical site characterization. The methodology is based on the dispersive characteristic of Rayleigh waves in vertically heterogeneous medium. Experimental dispersion curve is inverted to obtain one-dimensional shear-wave velocity profile by inverse problem solution. Uncertainty associated with this surface wave inversion has drawn much attention. Inverse problem solution can provide different equivalent shear-wave velocity profiles, which may lead to different seismic site response analysis. In this study, a neighborhood algorithm has been used for inversion of dispersion curve to get a set of equivalent shear-wave velocity profiles. These equivalent velocity profiles are then used for 1D ground response analysis for different input motion record of the same earthquake at different epicentral distances. Results show significant variation in amplification spectrum in terms of maximum amplification as well as peak frequency. The extent of this uncertainty largely depends on the characteristics of the ground motion records at different epicentral distances. A linear variation is observed between mean coefficients of variation of amplification spectrum and epicentral distance of ground motion records. A gradual increase in mean value of peak frequency and peak amplification with the epicentral distance is also observed.

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References

  • Boaga J, Vignoli G, Cassiani G (2011) Shear wave profiles from surface wave inversion: the impact of uncertainty on seismic site response analysis. J Geophys Eng 8:162–174

    Article  Google Scholar 

  • Dunkin JW (1965) Computation of modal solution in layered elastic media at high frequencies. Bull Seismol Soc Am 55:335–358

    Google Scholar 

  • Foti S, Comina C, Boiero D, Socco LV (2009) Non uniqueness in surface wave inversion and consequences on seismic site response analyses. Soil Dyn Earthq Eng 29(6):982–993

    Article  Google Scholar 

  • Haskell NA (1953) The dispersion of surface waves on multilayered media. Bull Seismol Soc Am 43(1):17–34

    Google Scholar 

  • Horike M (1985) Inversion of phase velocity of long-period microtremors to the S-wave velocity structure down to the basement in urbanized areas. J Phys Earth 33:59–96

    Article  Google Scholar 

  • Jones RB (1958) In-situ measurement of the dynamic properties of soil by vibration methods. Geotechnique 8(1):1–21

    Article  Google Scholar 

  • Knopoff L (1964) A matrix method for elastic wave problems. Bull Seismol Soc Am 54:431–438

    Google Scholar 

  • Lai CG, Foti S, Rix GJ (2005) Propagation of data uncertainty in surface wave inversion. J Environ Eng Geophys 10(2):219–228

    Article  Google Scholar 

  • Louie JN (2001) Faster, better: shear-wave velocity to 100 meters depth from refraction microtremor arrays. Bul Seismol Soc Am 91(2):347–364

    Article  Google Scholar 

  • Marosi KT, Hiltunen DR (2004a) Characterization of SASW phase angle and phase velocity measurement uncertainty. Geotech Test J 27(2):205–213

    Google Scholar 

  • Marosi KT, Hiltunen DR (2004b) Characterization of SASW shear wave velocity measurement uncertainty. J Geotech Geoenviron Eng 130(10):1034–1041

    Article  Google Scholar 

  • Miller RD, Xia J, Park CB, Ivanov J (1999) Using MASW to map bedrock in Olathe. Kansas [exp. abs.], Soc Explor Geophys 433–436

  • Nazarian S, Stokoe KH-II, Hudson WR (1983) Use of spectral analysis of surface waves method for determination of moduli and thicknesses of pavement systems. Transp Res Rec 930:38–45

    Google Scholar 

  • Park CB, Miller RD, Xia J (1999) Multi-channel analysis of surface waves. Geophysics 64(3):800–808

    Article  Google Scholar 

  • Rix GJ (1988) Experimental study of factors affecting the spectral-analysis-of- surface-waves method. PhD Diss., University of Texas at Austin

  • Sambridge M (1999) Geophysical inversion with a neighbourhood algorithm–II, Appraising the ensemble. Geophys J Intl 38:727–746

    Article  Google Scholar 

  • Schnabel PB, Lysmer J, Seed HB (1972) SHAKE: a computer program for earthquake response analysis of horizontally layered sites. Earthquake Engineering Research Center, University of California, Berkeley. Report No. UCB/EERC-72/12: 102

  • Socco LV, Strobbia C (2004) Surface-wave method for near-surface characterization: a tutorial. Near Surf Geophys 2(4):165–185

    Google Scholar 

  • Stokoe II KH, Wright SG, Bay JA, Roesset JM (1994) Characterization of geotechnical sites by SASW method geophysical characterization of sites. In: RD Woods (ed). Oxford & IBH Publishing, New Delhi, pp 15–25

  • Strobbia C, Cassiani G (2011) Refraction microtremors (ReMi): data analysis and diagnostics of key hypotheses. Geophysics 76(3):MA11–MA20

    Article  Google Scholar 

  • Strobbia C, Foti S (2006) Multi-offset phase analysis of surface wave data (MOPA). J Appl Geophys 59:300–313

    Article  Google Scholar 

  • Thomson WT (1950) Transmission of elastic waves through a stratified solid medium. J Appl Phys 21(1):89–93

    Article  Google Scholar 

  • Tokimatsu K (1995) Geotechnical site characterization using surface waves. In: Proceedings of first international conference on earthquake geotechnical engineering, IS-Tokyo, Japanese Geotechnical Society. Balkema, Rotterdam, Netherlands, pp 1333–1368

  • Wathelet M, Jongmans D, Ohrnberger M (2004) Surface-wave inversion using a direct search algorithm and its application to ambient vibration measurements. Near Surf Geophys 2(4):211–221

    Google Scholar 

  • Xia J, Miller RD, Park CB (1999) Estimation of near-surface shear-wave velocity by inversion of Rayleigh wave. Geophysics 64(3):691–700

    Article  Google Scholar 

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Correspondence to Narayan Roy.

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Roy, N., SankarJakka, R. & Wason, H.R. Effect of surface wave inversion non-uniqueness on 1D seismic ground response analysis. Nat Hazards 68, 1141–1153 (2013). https://doi.org/10.1007/s11069-013-0677-z

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  • DOI: https://doi.org/10.1007/s11069-013-0677-z

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