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Applied 2D equivalent linear program to analyze seismic ground motion: Real case study and parametric investigations

  • Soltani, Navid (Department of Civil Engineering, Faculty of Engineering, Ardakan University) ;
  • Bagheripour, Mohammad Hossein (Department of Civil Engineering, Faculty of Engineering, Shahid Bahonar University of Kerman)
  • Received : 2021.06.17
  • Accepted : 2022.05.18
  • Published : 2022.07.10

Abstract

Seismic ground response evaluation is one of the main issues in geotechnical earthquake engineering. These analyses are subsequently divided into one-, two- and three-dimensional methods, and each of which can perform in time or frequency domain. In this study, a novel approach is proposed to assess the seismic site response using two-dimensional transfer functions in frequency domain analysis. Using the proposed formulation, a program is written in MATLAB environment and then promoted utilizing the equivalent linear approach. The accuracy of the written program is evaluated by comparing the obtained results with those of actual recorded data in the Gilroy region during Loma Prieta (1989) and Coyote Lake (1979) earthquakes. In order to precise comparison, acceleration time histories, Fourier amplitude spectra and acceleration response spectra diagrams of calculated and recorded data are presented. The proposed 2D transfer function diagrams are also obtained using mentioned earthquakes which show the amount of amplification or attenuation of the input motion at different frequencies while passing through the soil layer. The results of the proposed method confirm its accuracy and efficiency to evaluate ground motion during earthquakes using two-dimensional model. Then, studies on irregular topographies are carried out, and diagrams of amplification factors are shown.

Keywords

References

  1. Bazrafshan Moghaddam, A. and Bagheripour, M.H. (2014), "Optimization of ground response analysis using wavelet-based transfer function technique", Geomech. Eng., 7(2), 149-164. https://doi.org/10.12989/gae.2014.7.2.149.
  2. Borja, R.I., Chao, H.Y., Montans, F.J. and Lin, C.H. (1999), "Nonlinear ground response at Lotung LSST site", J. Geotech. Geoenviron. Eng., 125(3), 187-197. https://doi.org/10.1061/(ASCE)1090-0241(1999)125:3(187).
  3. Borja, R.I., Lin, C.H., Sama, K.M. and Masada, G.M. (2000), "Modelling non-linear ground response of non-liquefiable soils", Earthq. Eng. Struct. D., 29(1), 63-83. https://doi.org/10.1002/(SICI)10969845(200001)29:1%3C63::AID-EQE901%3E3.0.CO;2-Y.
  4. Bouckovalas, G.D. and Papadimitriou, A.G. (2005), "Numerical evaluation of slope topography effects on seismic ground motion", Soil Dyn. Earthq. Eng., 25(7-10), 547-558. https://doi.org/10.1016/j.soildyn.2004.11.008.
  5. De la Torre, C.A., Bradley, B.A. and Lee, R.L. (2020), "Modeling nonlinear site effects in physics-based ground motion simulations of the 2010-2011 Canterbury earthquake sequence", Earthq. Spectra, 36(2), 856-879. https://doi.org/10.1177%2F8755293019891729. https://doi.org/10.1177%2F8755293019891729
  6. Desai, C.S. and Kundu, T. (2017), Introductory finite element method, Crc Press.
  7. Di Fiore, V. (2010), "Seismic site amplification induced by topographic irregularity: Results of a numerical analysis on 2D synthetic models", Eng. Geol., 114(3-4), 109-115. https://doi.org/10.1016/j.enggeo.2010.05.006.
  8. EPRI. (1993), Guidelines for determining design basis ground motions, Electric Power Research Institute: New Jersey.
  9. Hasal, M.E. and Iyisan, R. (2014), "A numerical study on comparison of 1D and 2D seismic responses of a basin in Turkey", Am. J. Civil Eng., 2(5), 123-133. https://doi.org/10.11648/j.ajce.20140205.11
  10. Hassan, S. and El Shamy, U. (2019), "DEM simulations of the seismic response of granular slopes", Comput. Geotech., 112, 230-244. https://doi.org/10.1016/j.compgeo.2019.04.019.
  11. Huang, D., Wang, G., Wang, C. and Jin, F. (2020), "A modified frequency-dependent equivalent linear method for seismic site response analyses and model validation using KiK-Net borehole arrays", J. Earthq. Eng., 24(5), 827-844. https://doi.org/10.1080/13632469.2018.1453418.
  12. Jakka, R.S., Hussain, M. and Sharma, M. (2015), "Effects on amplification of strong ground motion due to deep soils", Geomech. En., 8(5), 663-674. https://doi.org/10.12989/gae.2015.8.5.663.
  13. Jiang, T., Chen, L., Xing, H. and Lu, X. (2007), "Seismic ground motion analysis of Shanghai Pudong Airport site considering the effects of spatial correlation and irregular topography", Frontiers of Architecture and Civil Engineering in China, 1(4), 430-435. https://doi.org/10.1007/s11709-007-0058-3.
  14. Kaklamanos, J., Baise, L.G., Thompson, E.M. and Dorfmann, L. (2015), "Comparison of 1D linear, equivalent-linear, and nonlinear site response models at six KiK-net validation sites", Soil Dyn. Earthq. Eng., 69, 207-219. https://doi.org/10.1016/j.soildyn.2014.10.016.
  15. Kausel, E. and Assimaki, D. (2002), "Seismic simulation of inelastic soils via frequency-dependent moduli and damping", J. Eng. Mech., 128(1), 34-47. https://doi.org/10.1061/(ASCE)0733-9399(2002)128:1(34).
  16. Kham, M., Semblat, J.F. and Bouden-Romdhane, N. (2013), "Amplification of seismic ground motion in the Tunis basin: numerical BEM simulations vs experimental evidences", Eng. Geol., 155, 80-86. https://doi.org/10.1016/j.enggeo.2012.12.016.
  17. Kramer, S.L. (1996), Geotechnical earthquake engineering. In Prentice-Hall international series in civil engineering and engineering mechanics. Prentice-Hall, New Jersey, 1996.
  18. Liu, X., Jin, M., Li, D., Hu, Y. and Song, J. (2017), "The topographic effect of ground motion based on Spectral Element Method", Geomech. Eng., 13(3), 411-429. https://doi.org/10.12989/gae.2017.13.3.411.
  19. Lo Presti, D.C., Lai, C.G. and Puci, I. (2006), "ONDA: Computer code for nonlinear seismic response analyses of soil deposits", J. Geotech. Geoenviron. Eng., 132(2), 223-236. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:2(223).
  20. Lu, X., Tian, Y., Wang, G. and Huang, D. (2018), "A numerical coupling scheme for nonlinear time history analysis of buildings on a regional scale considering site-city interaction effects", Earthq. Eng. Struct. D., 47(13), 2708-2725. https://doi.org/10.1002/eqe.3108.
  21. Madiai, C., Facciorusso, J., Gargini, E. and Baglione, M. (2016), "1D versus 2D site effects from numerical analyses on a cross section at Barberino di Mugello (Tuscany, Italy)", Procedia Eng., 158, 499-504. https://doi.org/10.1016/j.proeng.2016.08.479.
  22. Mir Mohammad Hosseini, S.M. and Pajouh, M.A. (2012), "Comparative study on the equivalent linear and the fully nonlinear site response analysis approaches", Arabian J. Geosci., 5(4), 587-597. https://doi.org/10.1007/s12517-010-0228-9.
  23. Nasiri, F., Javdanian, H. and Heidari, A. (2020), "Seismic response analysis of embankment dams under decomposed earthquakes", Geomech. Eng., 21(1), 35-51. https://doi.org/10.12989/gae.2020.21.1.035.
  24. Phanikanth, V., Choudhury, D. and Reddy, G.R. (2011), "Equivalent-linear seismic ground response analysis of some typical sites in Mumbai", Geotech. Geol. Eng., 29(6), 1109-1126. https://doi.org/10.1007/s10706-011-9443-8.
  25. Phillips, C. and Hashash, Y.M. (2009), "Damping formulation for nonlinear 1D site response analyses", Soil Dyn. Earthq. Eng., 29(7), 1143-1158. https://doi.org/10.1016/j.soildyn.2009.01.004.
  26. Ravichandran, N., Krishnapillai, S.H., Bhuiyan, A.H. and Huggins, E.L. (2016), "Simplified finite-element model for site response analysis of unsaturated soil profiles", Int. J. Geomech., 16(1). https://doi.org/10.1061/(ASCE)GM.1943-5622.0000489.
  27. Roy, N. and Sahu, R. (2012), "Site specific ground motion simulation and seismic response analysis for microzonation of Kolkata", Geomech. Eng., 4(1), 1-18. https://doi.org/10.12989/gae.2012.4.1.001.
  28. Schnabel, P.B., Lysmer, J. and Seed, H.B. (1972) SHAKE: A computer program for earthquake response analysis of horizontally layered site. Report No.EERC72-12, University of California, Berkeley.
  29. Soltani, N. and Bagheripour, M.H. (2018), "Non-linear seismic ground response analysis considering two-dimensional topographic irregularities", Scientia Iranica, 25(3), 1083-1093. https://dx.doi.org/10.24200/sci.2017.4257
  30. Soltani, N. and Bagheripour, M.H. (2020), "Seismic response analysis of soil profile: comparison of 1D versus 2D models and parametric study", Model. Earth Syst. Environ., 6(2), 1017-1026. https://doi.org/10.1007/s40808-020-00737-6.
  31. Soltani, N., Javdanian, H. and Soltani, N. (2021), "Assessing the interaction of seismically loaded adjacent valleys using timedomain approach", Acta Geodaetica et Geophysica, 56(1), 133-144. https://doi.org/10.1007/s40328-020-00326-0.
  32. Soltani, N. (2021), "Seismic response evaluation of strip footing on geogrid-reinforced slope", Innov. Infrastruct. Solutions, 6, 202. https://doi.org/10.1007/s41062-021-00574-1.
  33. Sonmezer, Y.B. and Celiker, M. (2020), "Determination of seismic hazard and soil response of a critical region in Turkey considering far-field and near-field earthquake effect", Geomech. Eng., 20(2), 131-146. https://doi.org/10.12989/gae.2020.20.2.131.
  34. Volpini, C. and Douglas, J. (2019), "An accessible approach for the site response analysis of quasi-horizontal layered deposits", Bull. Earthq. Eng., 17(3), 1163-1183. https://doi.org/10.1007/s10518-018-0488-4
  35. Volpini, C., Douglas, J. and Nielsen, A.H. (2019), "Guidance on conducting 2D linear viscoelastic site response analysis using a finite element code", J. Earthq. Eng., https://doi.org/10.1080/13632469.2019.1568931.
  36. Vucetic, M. and Dobry, R. (1991), "Effect of soil plasticity on cyclic response", J. Geotech. Eng., 117(1), 89-107. https://doi.org/10.1061/(ASCE)0733-9410(1991)117:1(89).
  37. Wilson, E.L. (1968), A computer program for the dynamic stress analysis of underground structures, California Univ Berkeley Structural Engineering Lab
  38. Yoshida, N. (2015), Seismic ground response analysis, https://doi.org/10.1007/978-94-017-9460-2.