Modelling Propagation of Stress Waves through Soil Medium for Ground Response Analysis

Abstract

buildings located at rock sites. Modelling wave propagation through soil medium helps to derive the primary and secondary wave velocities. Most of the time soil mediums are heterogeneous, layered and undergoes nonlinear strains even under weak excitation. The equivalent linear approximation with one dimensional wave propagation is widely adopted for modeling earthquake excitation for layered soil. In this paper, importance of local soil effects, the process of wave propagation through three dimensional elastic medium, layered medium situated on rigid rock, attenuation of stress waves due to material damping, equivalent linear approximation, the concept of one dimensional wave propagation, and a case study of one dimensional wave propagation as a part of site-specific ground response analyses for Delhi region are included. The case study brings out the importance of carrying out site-specific ground response analyses of buildings considering the scenario earthquakes and actual soil conditions for Delhi region.

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P. Kamatchi, G. Ramana, A. Nagpal and N. Iyer, "Modelling Propagation of Stress Waves through Soil Medium for Ground Response Analysis," Engineering, Vol. 5 No. 7, 2013, pp. 611-621. doi: 10.4236/eng.2013.57073.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] I. M. Idriss and H. B. Seed, “Seismic Response of Soil Deposits,” Journal of the Soil Mechanics and Foundations Division, Vol. 96, No. 2, 1970, pp. 631-638.
[2] I. M. Idriss, “Response of Soft Soil Sites during Earthquakes,” Proceedings, Memorial Symposium to Honor Professor H. B. Seed, Berkeley, 1990, pp. 273-289.
[3] B. H. Seed and I. M. Idriss, “Influence of Soil Conditions on Ground Motions during Earthquakes,” Journal of the Soil Mechanics and Foundations Division, Vol. 95, No. 1, 1969, pp. 99-137.
[4] B. S. Bakir, M. T. Yilmaz, A. Yakut and P. Gulkan, “Re-Examination of Damage Distribution in Adapazari: Geotechnical Considerations,” Engineering Structures, Vol. 27, No. 7, 2005, pp. 1002-1013. doi:10.1016/j.engstruct.2005.02.002
[5] D. M. Boore and W. B. Joyner, “Site Amplifications for Generic Rock Sites,” Bulletin of the Seismological Soci ety of America, Vol. 87, No. 2, 1997, pp. 327-341.
[6] S. S. Tezcan, I. E. Kaya, E. Bal and Z. Ozdemir, “Seismic Amplification at Avcilar, Istanbul,” Engineering Structures, Vol. 24, No.5, 2002, pp. 661-667. doi:10.1016/S0141-0296(02)00002-0
[7] International Conference of Building Officials, “Uniform Building Code 1997 Volume 2: Structural Engineering Design and Provisions,” Uniform Building Code, 1997.
[8] IS 1893, “Criteria for Earthquake Resistant Design of Structures—Part 1: General Provisions and Buildings,” Bureau of Indian Standards, New Delhi, 2002.
[9] IBC, “International Building Code,” International Code Council, 2003.
[10] D. Park and Y. M. A. Hashash, “Evaluation of Seismic Site Factors in the Mississippi Embayment. I. Estimation of Dynamic Properties,” Soil Dynamics and Earthquake Engineering, Vol. 25, No. 2, 2005, pp. 133-144. doi:10.1016/j.soildyn.2004.10.002
[11] P. Kamatchi, “Neural Network Models for Site-Specific Seismic Analysis of Buildings,” Ph.D. Thesis, Department of Civil Engineering, Indian Institute of Technology, Delhi, 2008.
[12] T. Balendra, N. T. K. Lam, J. L. Wilson and K. H. Kong, “Analysis of Long-Distance Earthquake Tremors and Base Shear Demand for Buildings in Singapore,” Engineering Structures, Vol. 24, No. 1, 2002, pp. 99-108. doi:10.1016/S0141-0296(01)00065-7
[13] F. Heuze, R. Archuleta, F. Bonilla, S. Day, M. Doroudian, A. Elgamal, S. Gonzales, M. Hoehler, T. Lai, D. Lavallee, B. Lawrence, P. C. Liu, A. Martin, L. Matesic, B. Minster, R. Mellors, D. Oglesby, S. Park, M. Riemer, J. Steidl, F. Vernon, M. Vucetic, J. Wagoner and Z. Yang, “Estimating Site-Specific Strong Earthquake Motions,” Soil Dynamics and Earthquake Engineering, Vol. 24, No. 3, 2004, pp. 199-223. doi:10.1016/j.soildyn.2003.11.002
[14] T. Mammo, “Site-Specific Ground Motion Simulation and Seismic Response Analysis at the Proposed Bridge Sites within the City of Addis Ababa, Ethiopia,” Engi neering Geology, Vol. 79, No. 3-4, 2005, pp. 127-150. doi:10.1016/j.enggeo.2005.01.005
[15] S. L. Kramer, “Geotechnical Earthquake Engineering,” Prentice Hall International Series, Upper Saddle River, 2003.
[16] B. M. Das, “Fundamentals of Soil Dynamics,” Elsevier Science Publishing Co. Inc., Amsterdam, 1983.
[17] B. M. Das and G. V. Ramana, “Principles of Soil Dynamics,” Cengage Learning Publishers, Stamford, 2011.
[18] Timoshenko and Goodier, “Theory of Elasticity,” McGraw Hill, New York, 1970.
[19] M. Vucetic and R. Dobry, “Effect of Soil Plasticity on Cyclic Response,” Journal of Geotechnical Engineering, Vol. 117, No. 1, 1991, pp. 89-107. doi:10.1061/(ASCE)0733-9410(1991)117:1(89)
[20] I. A. Beresnev and G. M. Atkinson, “Modeling Finite— Fault Radiation from the wn Spectrum,” Bulletin of the Seismological Society of America, Vol. 87, No. 1, 1997, pp. 67-84.
[21] I. A. Beresnev and G. M. Atkinson, “FINSIM—A FORTRAN Program for Simulating Stochastic Acceleration Time Histories from Finite Faults,” Seismological Research Letters, Vol. 69, No. 1, 1998, pp. 27-32. doi:10.1785/gssrl.69.1.27
[22] S. K. Singh, W. K. Mohanty, B. K. Bansal and G. S. Roonwal, “Ground Motion in Delhi from Future Large/Great Earthquakes in the Central Seismic Gap of the Himalayan Arc,” Bulletin of the Seismological Society of America, Vol. 92, No. 2, 2002, pp. 555-569. doi:10.1785/0120010139
[23] N. Yoshida, S. Kobayashi, I. Suetomi and K. Miura, “Equivalent Linear Method Considering Frequency Dependent Characteristics of Stiffness and Damping,” Soil Dynamics and Earthquake Engineering, Vol. 22, No. 3, 2002, pp. 205-222. doi:10.1016/S0267-7261(02)00011-8
[24] P. B. Schnabel, J. Lysmer and H. B. Seed, “SHAKE, a Computer Program for Earthquake Response Analysis of Horizontally Layered Sites,” Report No. EERC 72-12, Earthquake Engineering Research Center, University of California, Berkeley, 1972.
[25] G. A. Ordonez, “SHAKE 2000: A Computer Program for the I-D Analysis of Geotechnical Earthquake Engineering Problems,” 2000.
[26] P. Kamatchi, G. V. Ramana, A. K Nagpal and N. Lakshmanan, “Site-Specific Analysis of Delhi Region for Scenario Earthquakes,” Proceedings of the 14th World Conference on Earthquake Engineering, Beijing, 12-17 October 2008.
[27] H. Ch. Rao and G. V. Ramana, “Correlation between Shear Wave Velocity and N Value for Yamuna Sand of Delhi,” Proceedings of International Conference on Geotechnical Engineering, UAE, 2004, pp. 262-268.

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