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A random physical model of seismic ground motion field on local engineering site

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Abstract

This paper presents a random physical model of seismic ground motion field on a specific local engineering site. With this model, artificial ground motions which are consistent with realistic records at SMART-1 array on spatial correlation are synthesized. A two-scale modeling method of seismic random field is proposed. In large scale, the seismic ground motion field on bedrock surface is simplified to a two-dimensional spherical wave field based on the seismic point source and homogeneous isotropic media model. In small scale, the seismic ground motion field on the engineering site has a plane waveform. By introducing the physical models of seismic source, path and local site and considering the randomness of the basic physical parameters, the random model of seismic ground motion field is completed in a random functional form. This model is applied to simulation of the acceleration records at SMART-1 array by using the superposition method of wave group.

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References

  1. Zerva A, Zerva V. Spatial variation of seismic ground motions: An overview. Appl Mech Rev, 2002, 55: 271–297

    Article  Google Scholar 

  2. Zerva A. Spatial Variation of Seismic Ground Motions: Modeling and Engineering Applications. New York: CRC Press, 2009. 65–127

    Google Scholar 

  3. Kanai K. Semi-empirical formula for the seismic characteristics of the ground. Bull Earthquake Res Inst, 1957, 35: 309–325

    Google Scholar 

  4. Kanai K. An empirical formula for the spectrum of strong earthquake motions. Bull Earthquake Res Inst, 1961, 39: 85–95

    MathSciNet  Google Scholar 

  5. Clough R, Penzien J. Dynamic of Structures. New York: McGraw-Hill, Inc., 1975

    Google Scholar 

  6. Luco J E, Wong H L. Response of a rigid fiundtion to a spatially random ground motion. Earthquake Eng Struct Dyn, 1986, 14: 891–906

    Article  Google Scholar 

  7. Harichandran R S, Vanmarcke E H. Stochastic variation of earthquake ground motion in space and time. J Eng Mech, 1986, 112: 154–174

    Article  Google Scholar 

  8. Loh C H, Lin S G. Directionality and simulation in spatial variation of seismic waves. Eng Struct, 1990, 12: 134–143

    Article  Google Scholar 

  9. Qu T J, Wang J J, Wang Q X. A practical model for the power spectrum of spatially variant ground motion. Acta Seismologica Sinica, 1996, 9(1): 69–79

    Article  Google Scholar 

  10. Li J. Physical stochastic models for the dynamic excitations of engineering structures. In: Li J, Chen J B, eds. Advances in Theory and Applications of Random Vibration (in Chinese). Shanghai: Tongji University Press, 2008. 119–132

    Google Scholar 

  11. Shinozuka M. Simulation of multivariate and multidimensional random processes. J Acoustical Society Am, 1971, 49: 357–367

    Article  Google Scholar 

  12. Shinozuka M. Stochastic fields and their digital simulation. In: Schuëller G I, Shinozuka M, eds. Stochastic Methods in Structural Dynamics. Dordrecht: Martinus Nijhoff Publishers, 1987. 93–133

    Chapter  Google Scholar 

  13. Shinozuka M, Deodatis G, Zhang R, et al. Modeling, synthetics and engineering applications of strong earthquake wave motion. Soil Dyn Earthquake Eng, 1999, 18: 209–228

    Article  Google Scholar 

  14. Li J, Ai X Q. Study on random model of earthquake ground motion based on physical process (in Chinese). Earthquake Eng Engng Vib, 2006, 26(5): 21–26

    MathSciNet  Google Scholar 

  15. An Z H, Li J. Research on random function model of strong ground motion (I): Model constructing (in Chinese). Earthquake Eng Engng Vib, 2009, 29(5): 36–45

    Google Scholar 

  16. Wang D, Li J. Physical random function model of ground motions for engineering purposes. Sci China Tech Sci, 2011, 54: 175–182

    Article  MATH  Google Scholar 

  17. Aki K, Richards P G. Quantitative Seismology Theory and Methods. San Francisco: W. H. Freeman and Company, 1980. 9–35

    Google Scholar 

  18. Haskell N A. Total energy and energy spectral density of elastic wave radiation from propagating faults. Part II. A statistical source model. Bull Seismological Society Am, 1966, 56: 125–140

    Google Scholar 

  19. Aki K. Scaling law of seismic spectrum. J Geophys Res, 1967, 72(4): 1217–1231

    Article  Google Scholar 

  20. Shearer P M. Introduction to Seismology. 2nd Ed. New York: Cambridge University Press, 2009. 251–255

    Google Scholar 

  21. Penzien J, Watabe M. Characteristics of 3-dimensional earthquake ground motions. Earthquake Eng Struct Dyn, 1974, 3(4): 365–373

    Article  Google Scholar 

  22. Kubo T, Penzien J. Analysis of three-dimensional strong ground motions along principal axes, San Fernando earthquake. Earthquake Eng Struct Dyn, 1979, 7(3): 265–278

    Article  Google Scholar 

  23. Liao Z P. Introduction to Wave Motion Theories for Engineering (in Chinese). Beijing: Science Press, 2002. 16–25

    Google Scholar 

  24. Boore D M. Simulation of ground motion using the stochastic method. Pure Appl Geophys, 2003, 160: 635–676

    Article  Google Scholar 

  25. Brune J N. Tectonic stress and the spectra of seismic shear waves from earthquake. J Geophys Res, 1970, 75: 4997–5009

    Article  Google Scholar 

  26. Boissières H, Vanmarcke E H. Estimation of lags for a seismograph array: Wave propagation and composite correlation. Soil Dyn Earthquake Eng, 1995, 14: 5–22

    Article  Google Scholar 

  27. Loh C H. Analysis of the spatial variation of seismic waves and ground movements from SMART-1 data. Earthquake Eng Struct Dyn, 1985, 13: 561–581

    Article  Google Scholar 

  28. Li J. A physical approach to stochastic dynamical systems (in Chinese). Sciencepaper Online, 2006, 1(2): 95–104

    Google Scholar 

  29. http://peer.berkeley.edu/nga/search.html

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Correspondence to Jie Li.

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Wang, D., Li, J. A random physical model of seismic ground motion field on local engineering site. Sci. China Technol. Sci. 55, 2057–2065 (2012). https://doi.org/10.1007/s11431-012-4850-5

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