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Comparative Study of Equivalent Linear and Non-Linear Ground Response Analysis for Rapar District of Kutch, India

Authors: Kulin Dave, Kapil Mohan


Earthquakes are considered to be the most destructive rapid-onset disasters human beings are exposed to. The amount of loss it brings in is sufficient to take careful considerations for designing of structures and facilities. Seismic Hazard Analysis is one such tool which can be used for earthquake resistant design. Ground Response Analysis is one of the most crucial and decisive steps for seismic hazard analysis. Rapar district of Kutch, Gujarat falls in Zone 5 of earthquake zone map of India and thus has high seismicity because of which it is selected for analysis. In total 8 bore-log data were studied at different locations in and around Rapar district. Different soil engineering properties were analyzed and relevant empirical correlations were used to calculate maximum shear modulus (Gmax) and shear wave velocity (Vs) for the soil layers. The soil was modeled using Pressure-Dependent Modified Kodner Zelasko (MKZ) model and the reference curve used for fitting was Seed and Idriss (1970) for sand and Darendeli (2001) for clay. Both Equivalent linear (EL), as well as Non-linear (NL) ground response analysis, has been carried out with Masing Hysteretic Re/Unloading formulation for comparison. Commercially available DEEPSOIL v. 7.0 software is used for this analysis. In this study an attempt is made to quantify ground response regarding generated acceleration time-history at top of the soil column, Response spectra calculation at 5 % damping and Fourier amplitude spectrum calculation. Moreover, the variation of Peak Ground Acceleration (PGA), Maximum Displacement, Maximum Strain (in %), Maximum Stress Ratio, Mobilized Shear Stress with depth is also calculated. From the study, PGA values estimated in rocky strata are nearly same as bedrock motion and marginal amplification is observed in sandy silt and silty clays by both analyses. The NL analysis gives conservative results of maximum displacement as compared to EL analysis. Maximum strain predicted by both studies is very close to each other. And overall NL analysis is more efficient and realistic because it follows the actual hyperbolic stress-strain relationship, considers stiffness degradation and mobilizes stresses generated due to pore water pressure.

Keywords: Ground Response Analysis, response spectra, shear wave velocity, DEEPSOIL v 7.0, Pressure-Dependent Modified KodnerZelasko (MKZ) model

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[1] A. D.Basu, "1D Non-Linear Ground Response Analysis of soils in IIT Guhawati AND Liquefaction Potential Identification," 16th World Conference on Earthquake, 16WCEE 2017 Santiago Chile, January 9th to 13th 2017.
[2] Bolisetti, Chandrakanth & Whittaker, Andrew. (2015), "Site response, soil-structure interaction and structure-soil-structure interaction for performance assessment of buildings and nuclear structures", Report number: MCEER 15-0002.
[3] "Unites States Geological Survey," (Online). Available:
[4] G. M. A. G. Images, "Google Technology Company".
[5] "PEER Ground Motion Database," (Online). Available:
[6] G. A. Ordonez, "SHAKE 2000 A Computer Program for 1-D analysis of Geotechnical Earthquake Engineering Problems," User Manual, GeoMotions, LLC, Washington USA. (Online).
[7] Skempton, A. W., “Standard Penetration Test Procedures and the Effects in Sands of Overburden Pressure, Relative Density, Particle Size, Ageing and Over Consolidation”, Geotechnique 36: 3, September, 1986.
[8] C. P., D. R. G. Youssef M. A. Hashash, "Recent Advances In Non-Linear Site Response Analysis," Fifth International Conference on Recent Advances in Geotechnical Engineering and Soil Dynamics.
[9] NPTEL-Geotechnical Earthquake Engineering, Module 3,"Dynamic Properties of Soil" (Online). Available:
[10] M. B. Darendeli, "Development of New Family of Normalised Modulus Reduction and Material Damping Curves," DISSERTATION Presented to the Faculty of the Graduate School, The University of Texas at Austin, August, 2001.
[11] Y. M. A. Hashash, "Nonlinear and Equivalent Linear Seismic Site Response of One-Dimensional Soil Columns," User Manual v7.0, Deepsoil Software.