TECHNICAL PAPERS
Jul 1, 2006

Site-Specific Validation of Random Vibration Theory-Based Seismic Site Response Analysis

Publication: Journal of Geotechnical and Geoenvironmental Engineering
Volume 132, Issue 7

Abstract

Seismic site response analysis is typically performed using a suite of rock acceleration-time histories prescribed at the base of a soil column and propagated to the ground surface. To develop statistically stable estimates of the site response, a large number of input motions are required. Alternatively, random vibration theory (RVT) can be used to predict statistically stable estimates of the surface response spectrum in one analysis without the need to prescribe the input rock motion in the time domain. Thus, the critical and time consuming activity of choosing appropriate input ground motions and fitting them to a target spectrum is avoided. This paper describes the RVT approach, its analytical background and input requirements, and provides a site-specific validation of the procedure against traditional site response predictions. The single-corner frequency Brune source spectrum is used in the RVT procedure to describe the input motion in the frequency domain. RVT site response predictions using the Brune spectrum as input are compared with those from traditional site response analyses that incorporate different suites of input rock motions. Results indicate that RVT site response analysis can provide a response spectrum that is similar to the median response spectrum from analyses performed using a suite of input rock motions. However, the favorable comparison is obtained only when the seismological parameters used to describe the RVT input motion are carefully chosen to be consistent with the suite of input rock motions.

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Acknowledgments

Financial support was provided by the U.S. Geological Survey under NEHRP Grant No. UNSPECIFIED04HQGR0071, and through the Southern California Earthquake Center (SCEC) and Pacific Gas and Electric, Co. (PG&E). This support is gratefully acknowledged. The comments and assistance of Dr. Norman Abrahamson of PG&E and Dr. David Boore of the USGS are particularly appreciated.

References

Abrahamson, N. A. (1998). “Non-stationary spectral matching program RSPMATCH.” PG&E Internal Rep., San Francisco, February.
Abrahamson, N. A., and Silva, W. J. (1997). “Empirical response spectral attenuation relationships for shallow crustal earthquakes.” Seismol. Res. Lett., 68(1), 94–127.
Atkinson, G. M. (1993). “Earthquake source spectra in eastern north America.” Bull. Seismol. Soc. Am., 83(6), 1778–1798.
Atkinson, G. M., and Beresnev, I. A. (1997). “Don’t call it stress drop.” Seismol. Res. Lett., 68(1), 3–4.
Atkinson, G. M., and Silva, W. (1997). “An empirical study of earthquake source spectra for California earthquakes.” Bull. Seismol. Soc. Am., 87(4), 97–113.
Atkinson, G. M., and Silva, W. (2000). “Stochastic modeling of California ground motions.” Bull. Seismol. Soc. Am., 90(2), 255–274.
Bazzurro, P., and Cornell, C. A. (2004). “Nonlinear Site Effects in Probabilistic Seismic Hazard Analysis.” Bull. Seismol. Soc. Am., 94(6), 2110–2123.
Beresnev, I. A. (2001). “What we can and cannot learn about earthquake sources from the spectra of seismic waves.” Bull. Seismol. Soc. Am., 91(2), 397–400.
Beresnev, I. A., and Atkinson, G. M. (1998) “FINSIM: A FORTRAN program for simulating stochastic acceleration time histories from finite faults.” Seismol. Res. Lett., 69, 27–32.
Bommer, J. J., and Acevedo, A. B. (2004). “The use of real earthquake accelerograms as input to dynamic analysis.” J. Earthquake Eng., 8(1), 43–91.
Boore, D. (1983). “Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra.” Bull. Seismol. Soc. Am., 73(6), 1865–1894.
Boore, D. M. (2002). “SMSIM: Stochastic method simulation of ground motion from earthquakes.” IASPEI centennial international handbook of earthquake and engineering seismology, W. Lee, K. Kanamori, P. Jennings, and C. Kisslinger, eds., Chap. 85.13, Academic, New York.
Boore, D. M. (2003). “Simulation of ground motion using the stochastic method.” Pure Appl. Geophys., 160(3–4), 635–676.
Boore, D. M., and Joyner, W. B. (1984). “A note on the use of random vibration theory to predict peak amplitudes of transient signals.” Bull. Seismol. Soc. Am., 74(5), 2035–2039.
Boore, D. M., and Joyner, W. B. (1997). “Site amplification for generic rock sites.” Bull. Seismol. Soc. Am., 87(2), 327–341.
Boore, D. M., Joyner, W. B., and Wennerberg, L. (1992). “Fitting the stochastic ω2 source model to observed response spectra in western north America: Trade-offs between Δσ and κ .” Bull. Seismol. Soc. Am., 82(4), 1956–1963.
Brune, J. (1970). “Tectonic stress and the spectra of seismic shear waves from earthquakes.” J. Geophys. Res., 75(26), 4997–5009.
Brune, J. (1971). “Correction.” J. Geophys. Res., 76(20), 5002.
Campbell, K. W. (2003). “Prediction of strong ground motion using the hybrid empirical method and its use in the development of ground-motion (attenuation) relationships in Eastern North America.” Bull. Seismol. Soc. Am., 93(3), 1012–1033.
Cartwright, D. E., and Longuet-Higgins, M. S. (1956). “The statistical distribution of the maxima of a random function.” Proc. R. Soc. London, Ser. A, A237, 212–232.
Electric Power and Research Institute (EPRI). (1993). “Guidelines for determining design basis ground motions. Volume 1: Method and guidelines for estimate earthquake ground motion in eastern north America.” EPRI TR-102293, Palo Alto, Calif.
Gasparini, D. A., and Vanmarcke, E. H. (1976). SIMQKE: Simulated earthquake motions compatible with prescribed response spectra, Massachusetts Institute of Technology Press, Cambridge, Mass.
Gumbel, E. J. (1958). Statistics of extremes, Columbia University Press, New York.
Hanks, T., and McGuire, R. (1981). “The character of high-frequency strong ground motion.” Bull. Seismol. Soc. Am., 71(6), 2071–2095.
Idriss, I. M., and Sun, J. I. (1992). SHAKE91: A computer program for conducting equivalent linear seismic response analyses of horizontally layered soil deposits, Dept. of Civil and Environmental Engineering, Center for Geotechnical Modeling, Univ. of California, Davis, Calif.
International Building Code (IBC). (2003). International building code, International Code Council, Delmar Publishers, Albany, N.Y.
Liu, L., and Pezeshk, S. (1999). “An improvement on the estimation of pseudoresponse spectral velocity using RVT method.” Bull. Seismol. Soc. Am., 89(5), 1384–1389.
Longuet-Higgins, M. S. (1952). “On the statistical distribution of the heights of sea waves.” J. Mar. Res., 11(3), 245–265.
McGuire, R. K., Becker, A. M., and Donovan, N. C. (1984). “Spectral estimates of seismic shear waves.” Bull. Seismol. Soc. Am., 74(4), 1427–1440.
Rathje, E. M., Kottke, A. R., and Ozbey, M. C. (2005). “Using inverse random vibration theory to develop input Fourier amplitude spectra for use in site response.” Proc., 16th Int. Conf. on Soil Mechanics and Geotechnical Engineering: TC4 Earthquake Geotechnical Engineering Satellite Conf., Osaka, Japan, 160–166.
Schneider, J. F., Silva, W. J., Chiou, S. J., and Stepp, J. C. (1991). “Estimation of ground motion at close distances using the band-limited-white-noise model.” Proc., 4th Int. Conf. on Seismic Zonation, Vol. 4, EERI, Stanford, Calif., 187–194.
Silva, W. J., Abrahamson, N., Toro, G., and Costantino, C. (1997). “Description and validation of the stochastic ground motion model, Final report.” Brookhaven National Laboratory, Rep. Contract No. 770573, Associated Universities, Inc., Upton, N.Y.
Silva, W. J., and Lee, K. (1987). “WES RASCAL code for synthesizing earthquake ground motions, State-of-the-Art for assessing earthquake hazards in the United States.” Rep. No. 24, U.S. Army Engineers Waterways Experiment Station, Vicksburg, Miss., Misc. Paper S-73-1.
Stepp, J. C., Silva, W. J., Seed, H. B., Idriss, I. M., McGuire, R., and Schneider, J. (1991). “Site response evaluations based upon generic soil profiles using random vibration methodology.” Proc., 4th Int. Conf. on Seismic Zonation, Vol. 4, Stanford, Calif., 739–746.
Vanmarcke, E. H. (1976). “Structural response to earthquakes.” Seismic risk and engineering decisions, C. Lomnitz and E. Rosenblueth, eds., Elsevier, Amsterdam-Oxford, New York.
Vanmarcke, E. H., and Lai, S.-S. P. (1980). “Strong-motion duration and rms amplitude of earthquake records.” Bull. Seismol. Soc. Am., 70(4), 1293–1307.
Vucetic, M., and Dobry, R. (1991). “Effect of soil plasticity on cyclic response.” J. Geotech. Eng., 117(1), 89–107.

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Go to Journal of Geotechnical and Geoenvironmental Engineering
Journal of Geotechnical and Geoenvironmental Engineering
Volume 132Issue 7July 2006
Pages: 911 - 922

History

Received: Nov 1, 2004
Accepted: Dec 5, 2005
Published online: Jul 1, 2006
Published in print: Jul 2006

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Authors

Affiliations

Ellen M. Rathje, M.ASCE [email protected]
Associate Professor, Dept. of Civil Engineering, Univ. of Texas, 1 University Station C1792, Austin, TX 78712 (corresponding author). E-mail: [email protected]
M. Cem Ozbey
Project Consultant, Baker Engineering and Risk Consultants, 3330 Oakwell Ct., Suite 100, San Antonio, TX 78218.

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