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Site Effects in Ground Motion Synthetics for Structural Performance Predictions

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Computational Methods in Earthquake Engineering

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 21))

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Abstract

We study how the selection of site response model affects the ground motion predictions of seismological models, and in turn how the synthetic motion site response variability propagates to the structural performance estimation. For this purpose, we compute ground motion synthetics for six earthquake scenarios of a strike-slip fault rupture, and estimate the ground surface response for 24 typical soil profiles in Southern California. We use viscoelastic, equivalent linear and nonlinear analyses for the site response simulations, and evaluate the ground surface motion variability that results from the soil model selection. Next, we subject a series of bilinear single degree of freedom oscillators to the ground motions computed using the alternative soil models, and evaluate the consequent variability in the structural response. Results show high bias and uncertainty of the inelastic structural displacement ratio predicted using the linear site response model for periods close to the fundamental period of the soil profile. The amount of bias and the period range where the structural performance uncertainty manifests are shown to be a function of both input motion and site parameters. We finally derive empirical correlations between the site parameters and the variability introduced in structural analyses based on our synthetic ground motion simulations.

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References

  1. Assimaki D, Kausel E (2002) An equivalent linear algorithm with frequency- and pressure-dependent moduli and damping for the seismic analysis of deep sites. Soil Dyn Earthq Eng 22:959–965

    Article  Google Scholar 

  2. Assimaki D, Li W, Steidl J, Schmedes J (2008) Quantifying nonlinearity susceptibility via site response modeling uncertainty at three sites in the Los Angeles basin. Bull Seismol Soc Am 98(5):2364–2390

    Article  Google Scholar 

  3. Bardet JP, Tobita T (2001a) Nonlinear earthquake site response analysis. User’s manual. Report, Civil Engineering Department, University of Southern California, Los Angeles, California, USA

    Google Scholar 

  4. Bardet JP, Tobita T (2001b) NERA: A computer program for nonlinear earthquake site response analyses of layered soil deposits. Technical report, University of Southern California

    Google Scholar 

  5. Bardet JP, Ichii K, Lin CH (2000) EERA A computer program for equivalent-linear earthquake site response analyses of layered soil deposits. Technical report, University of Southern California http://gees.usc.edu/GEES/Software/EERA2000/EERAManual.pdf

  6. Bazzurro P, Sjoberg B, Luco N (2004) Post-elastic response of structures to synthetic ground motions. Technical report, AIR Worldwide Co, San Francisco

    Google Scholar 

  7. Berrill J (1977) Site effects during the San Fernando, California, earthquake. In Proceedings of the Sixth World Conference on Earthquake Engineering, India pp 432–438

    Google Scholar 

  8. Bommer J, Scott S, Sarma S (2000) Hazard-consistent earthquake scenarios. Soil Dyn Earthq Eng 19:219–231

    Article  Google Scholar 

  9. Bonilla LF (2001) NOAH: user’s manual. Institute for Crustal Studies, University of California, Santa Barbara, 38 pp

    Google Scholar 

  10. Bonilla LF, Archeleta RJ, Lavellee D (2004) Hysteretic and dilatant behavior of cohesionless soils and their effects on nonlinear site response: field data observations and modeling. Bull Seism Soc Am 95:2373–2395

    Article  Google Scholar 

  11. Boore DM (1983) Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra. Bull Seism Soc Am 73:1865–1894

    Google Scholar 

  12. Boore DM, AtkinsonGM (2008) Ground-motion prediction equations for the average horizontal component of PGA, PGV, and 5%-damped PSA at spectral periods between 0.01 s and 10.0 s. Earthq Spectra 24(1):99–138, PEER NGA

    Google Scholar 

  13. Borcherdt RD, Gibbs JF (1976) Effects of local geological conditions in the San Francisco bay region on ground motions and the intensities of the 1906 earthquake. Bull Seism Soc Am 66(2):467–500

    Google Scholar 

  14. Building Seismic Safety Council (BSSC) (2003) NEHRP recommended provisions for seismic regulations for new buildings and other structures (FEMA 450). Technical report, prepared by the Building Seismic Safety Council for the Federal Emergency Management Agency, Washington, DC

    Google Scholar 

  15. Carcione JM, Kosloff D, Kosloff R (1988) Wave propagation in a linear viscoacoustic medium. Geophys J Roy Astr Soc 93:393–407

    MATH  Google Scholar 

  16. Chin B-H, Aki K (1991) Simultaneous study of the source, path, and site effects on strong ground motion during the 1989 Loma Prieta earthquake: a preliminary result on pervasive nonlinear site effects. Bull Seism Soc Am 81(5):1859–1884

    Google Scholar 

  17. Chopra A (2000) Dynamics of Structures: Theory and Applications to Earthquake Engineering (2nd Edition) Prentice Hall, 844 pages, ISBN-10: 0130869732

    Google Scholar 

  18. Chopra AK, Chintanapakdee C (2004) Inelastic deformation ratios for design and evaluation of structures: single-degree-of-freedom bilinear systems. J Struct Eng 130(9):1309–1319

    Article  Google Scholar 

  19. Cramer C (2006) Quantifying the uncertainty in site amplification modeling and its effects on site-specific seismic-hazard estimation in the upper Mississippi embayment and adjacent areas. Bull Seism Soc Am 96(6):2008–2020

    Article  Google Scholar 

  20. Cramer CH, Gomberg JS, Schweig ES, Waldron BA, Tucker K (2004). Memphis, Shelby County, Tennessee, seismic hazard maps, US Geological Survey. Open-File Report 04–1294, 41 pp

    Google Scholar 

  21. Darragh RB, Shakal AF (1991) The site response of two rock and soil station pairs to strong and weak ground motion. Bull Seism Soc Am 81(5):1885–1899

    Google Scholar 

  22. Day SM, Minster JR (1984) Numerical simulation of attenuated wavefields using a Pade approximant method. Geophys J Roy Astr Soc 78:105–118

    MATH  Google Scholar 

  23. Drnevich VP, Hall JR Jr, Richart FE Jr (1966) Large amplitude vibration effects on the shear modulus of sand. University of Michigan Report to Waterways Experiment Station, Corps of Engineers, U.S. Army, Contract DA-22-079-eng-340

    Google Scholar 

  24. Duke C, Mal A (1978) Site and source effects on earthquake ground motion. Technical report, University of California, Los Angeles

    Google Scholar 

  25. Ellis GW, Cakmak AS (1987) Modeling earthquake ground motions in seismically active regions using parametric time series methods. Technical report, NCEER-87-0014, National Center for Earthquake Engineering Research

    Google Scholar 

  26. Emmerich H, Korn M (1987) Incorporation of attenuation into time-domain computations of seismic wave fields. Geophysics 52:1252–1264

    Article  Google Scholar 

  27. Hardin BO, Drnevich VP (1972a) Shear modulus and damping in soil: measurement and parameter effects. J Soil Mech Found Div ASCE 98:603–624

    Google Scholar 

  28. Hardin BO, Drnevich VP (1972b) Shear modulus and damping in soil: design equations and curves. J Soil Mech Found Div ASCE 98:667–692

    Google Scholar 

  29. Hartzell S (1992) Site response estimation from earthquake data. Bull Seism Soc Am 82(6):2308–2327

    Google Scholar 

  30. Hartzell SH, Bonilla LF, Williams RA (2004) Prediction of nonlinear soil effects. Bull Seism Soc Am 94(5):1609–1629

    Article  Google Scholar 

  31. Hashash YMA, Park D (2001) Non-linear one-dimensional seismic ground motion propagation in the Mississippi embayment. Eng Geol 62:185–206

    Article  Google Scholar 

  32. Hashash YMA, Park D (2002) Viscous damping formulation and high frequency motion propogation in non-linear site response analysis. Soil Dyn Earthq Eng 22:611–624

    Article  Google Scholar 

  33. Idriss I, Seed H (1968) Seismic response of horizontal soil layers. J Soil Mech Found Div ASCE 94(4):1003–1031

    Google Scholar 

  34. Idriss IM, Sun JI (1992) User’s manual for SHAKE91. Center for Geotechnical Modeling, Department of Civil and Environmental Engineering, University of California, Davis, CA

    Google Scholar 

  35. Iwan WD (1967) On a class of models for the yielding behavior of continuous and composite systems. J Appl Mech 34(3):612–617

    Google Scholar 

  36. Joyner WB, Warrick ER, Adolph I, Oliver A (1976) Analysis of seismograms from a downhole array in sediments near San Francisco Bay. Bull Seism Soc Am 66(3):937–958

    Google Scholar 

  37. Kanai I (1961) An empirical formula for the spectrum of strong earthquake motions. Bull Earthq Res Inst 39:85–95

    MathSciNet  Google Scholar 

  38. Katsanos EI, Sextos AG, Manolis GD (2010) Selection of earthquake ground motion records: A state-of-the-art review from a structural engineering perspective. Soil Dyn Earthq Eng 30(4):157–169

    Article  Google Scholar 

  39. Kausel E, Assimaki D (2002) Seismic simulation of inelastic soils via frequency-dependent moduli and damping. J Eng Mech 128:34–47

    Article  Google Scholar 

  40. Konder RL, Zelasko JS (1963) A hyperbolic stress-strain formulation for sands. In: Proceedings of 2nd Pan American conference on soil mechanics and foundation engineering, Brazil, pp 289–324

    Google Scholar 

  41. Kramer SL (1996) Geotechnical earthquake engineering. Prentice-Hall, Upper Saddle River, NJ, 653 pages, Prentice Hall (January 7, 1996), ISBN-10: 0133749436

    Google Scholar 

  42. Li W, Assimaki D (2010) Site and ground motion dependent parametric uncertainty of nonlinear site response analyses in earthquake simulations. Bull Seism Soc Am 100(3)

    Google Scholar 

  43. Li W, Assimaki D, Fragiadakis M (2009) Nonlinear site response modeling variability in “rupture-to-rafters” ground motion simulations. In: Proceedings 2nd international conference on computational methods in structural dynamics and earthquake engineering (COMPDYN 2009), Rhodes, Greece, 22–24 June 2009

    Google Scholar 

  44. Liu P-C, Archuleta RJ (2002) The effect of a low-velocity surface layer on simulated ground motion. Seism Res Lett 73:267

    Google Scholar 

  45. Liu P-C, Archuleta RJ (2006) Efficient modeling of Q for 3D numerical simulation of wave propagation. Bull Seism Soc Am 96(4A):1352–1358

    Google Scholar 

  46. Liu P-C, Archuleta RJ, Hartzell SH (2006) Prediction of broadband ground-motion time histories: hybrid low/high-frequency method with correlated random source parameters. Bull Seism Soc Am 96:2118–2130

    Article  Google Scholar 

  47. Ma S, Liu P-C (2006) Modeling of the perfectly matched layer absorbing boundaries and intrinsic attenuation in explicit finite-element methods. Bull Seism Soc Am 96(5):1779–1794

    Article  Google Scholar 

  48. Masing G (1926) Eigenspannungen und Verfertigung beim Messing. Proceedings 2nd international congress on applied mechanics, Zurich

    Google Scholar 

  49. Matasovic N, Vucetic M (1993a) Cyclic characterization of liquefiable sands. J Geotech Eng 119(11):1805–1822

    Article  Google Scholar 

  50. Matasovic J, Vucetic M (1993b) Analysis of seismic records obtained on November 24, 1987 at the Wildlife Liquefaction Array. Research Report, Civil Engineering Department, University of California, Los Angeles, 94 pp

    Google Scholar 

  51. Miranda E (1993) Site-dependent strength-reduction factors. J Struct Eng 119(12):3503–3519

    Article  Google Scholar 

  52. Miranda E (2000) Inelastic displacement ratios for structures on firm sites. J Struct Eng 126(10):1150–1159

    Article  Google Scholar 

  53. Miranda E (2001) Estimation of inelastic deformation demands of SODF systems. J Struct Eng 127(9):1005–1012

    Article  Google Scholar 

  54. Mroz Z, Shrivastava HP, Dubey RN (1976) A non-linear hardening model and its application to cyclic loading. Acta Mechanica 25:51–61

    Article  Google Scholar 

  55. Naeim F, Lew M (1995) On the use of design spectrum compatible time histories. Earthq Spectra 11:111–127

    Article  Google Scholar 

  56. O’Connor IM, Ellingwood BR (1992) Site-dependent models of earthquake ground motion. Earthquake Eng Struct Dyn 21:573–589

    Article  Google Scholar 

  57. Paparizos IG (1986) Some observations on the random response of hysterestic systems. Technical report, Report No. EERL86-02, The California Institute of Technology

    Google Scholar 

  58. Park D, Hashash YMA (2004) Soil damping formulation in nonlinear time domain site response analysis. J Earthq Eng 8(2):249–274

    Article  Google Scholar 

  59. Park D, Hashash YMA (2005) Evaluation of seismic site factors in the Mississippi embayment. II. Probabilistic seismic hazard analysis with nonlinear site effects. Soil Dyn Earthq Eng 25:145–156

    Google Scholar 

  60. Reiter I (1990) Earthquake hazard analysis – issues and insights. Columbia University Press, New York

    Google Scholar 

  61. Ruiz-Garcia J, Miranda E (2004) Inelastic displacement ratios for design of structures on soft soils sites. J Struct Eng 130(12):2051–2061

    Article  Google Scholar 

  62. Schnabel PB, Lysmer J, Seed HB (1972) SHAKE: A computer program for earthquake response analyses of horizontally layered sites. Technical report, Earthquake Engineering Research Center, Report No. EERC 72–12, University of California, Berkeley

    Google Scholar 

  63. Seed HB, Idriss IM (1970) Soil moduli and damping factors for dynamic response analyses. Earthquake Engineering Research Center, University of California at Berkeley, UCB/EERC-70/10

    Google Scholar 

  64. Seed HB, Wong RT, Idriss IM, Tokimatsu K (1984) Moduli and damping factors for dynamic analyses of cohesionless soils. University of California at Berkeley, UCB/EERC-84

    Google Scholar 

  65. Silva WJ, Stark CL (1992) Source, path, and site ground motion model for the 1989 M 6.9 Loma Prieta earthquake. Technical report, California Division of Mines and Geology, Final report

    Google Scholar 

  66. Su F, Aki K, Teng T, Koyanagi S, Mayeda M (1992) The relation between site-amplification factor and surficial geology in central California. Bull Seism Soc Am 82:580–602

    Google Scholar 

  67. Tajimi K (1960) A statistical method of determining the maximum response of a building structure during an earthquake. In: Proceedings of 2nd world conference on earthquake engineering, Tokyo and Kyoto, Japan

    Google Scholar 

  68. Toro GR, Silva WJ (2001) Scenario earthquakes for Saint Louis, MO, and Memphis, TN, and seismic hazard maps for the central United States region including the effect of site conditions, Risk Engineering, Inc., Boulder, Colorado, USGS Grant: Final Technical Report

    Google Scholar 

  69. Veletsos AN, Newmark NM, Chepalati C (1965) Deformation spectra for elastic and elastoplastic systems subjected to ground shock and earthquake motion. In: Proceedings of 3rd world conference on earthquake engineering, vol II. Wellington, New Zealand, pp 663–682

    Google Scholar 

  70. Whitman RV, Protonotarios JN (1977) Inelastic response to site-modified ground motions. J Geotech Eng Div 103:1037–1053

    Google Scholar 

  71. Wiggins J (1964) Effects of site conditions on earthquake intensity. J Struct Div ASCE 90(2):279–313

    Google Scholar 

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Acknowledgments

This research was supported by the Southern California Earthquake Center. SCEC is funded by NSF Cooperative Agreement EAR-0106924 and USGS Cooperative Agreement 02HQAG0008. The SCEC contribution number for this chapter is 1344.

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Correspondence to Dominic Assimaki .

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Assimaki, D., Li, W., Fragiadakis, M. (2011). Site Effects in Ground Motion Synthetics for Structural Performance Predictions. In: Papadrakakis, M., Fragiadakis, M., Lagaros, N. (eds) Computational Methods in Earthquake Engineering. Computational Methods in Applied Sciences, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0053-6_4

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  • DOI: https://doi.org/10.1007/978-94-007-0053-6_4

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