Abstract
Characteristics of seismic waves can be modified significantly due to local site effects (LSE). Numerically, LSE can be quantified by performing ground response analysis (GRA). This requires knowledge about dynamic soil properties of subsoil, which include shear modulus (G), damping ratio (β), modulus degradation curves (G/Gmax curves), and damping ratio curves (β curves). G/Gmax curves and β curves are combinedly called as dynamic soil properties curves (DSPCs). In order to perform site-specific GRA, DSPCs of subsoil should be known. Determination of site-specific DSPCs, however, requires rigorous laboratory-based experimentations which have several limitations such as equipment compliance and size effect. On the other hand, inverse ground response analysis (IGRA) methodology, that uses recorded acceleration time histories at ground surface and at downhole locations, for the determination of DSPCs has several advantages. However, the estimation of DSPCs for a multilayer soil system is not yet well addressed by existing IGRA methods, especially in the frequency domain. In the present study, a new frequency domain-based IGRA methodology is proposed to determine DSPCs for multiple soil layer system based on acceleration time histories at the ground surface and at different locations below the ground surface. The proposed methodology is then applied on earthquake (EQ) records obtained from a downhole array site in Lotung. Based on the back-computed G/Gmax values and β values at the Lotung site, average DSPCs are proposed for the top three soil layers. When the proposed average DSPCs are reused for GRA study at the Lotung site, it is observed that the proposed average DSPCs can represent soil response satisfactorily. The proposed IGRA methodology is then validated for a different site located in Delhi based on ground motions obtained from a GRA study. For the site in Delhi as well, it is observed that the proposed methodology yielded back-computed G/Gmax values and β values that are consistent with the DSPCs used for the GRA study.
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Data availability
The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.
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Acknowledgements
Authors are thankful to soilquake.net website, from where the Lotung downhole array data were downloaded. The dataset was originally provided by the US Electric Power Research Institute (EPRI), under the direction of H. T. Tang and J. Carl Stepp.
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Mondal, J.K., Kumar, A. New Frequency Domain Framework of Inverse Ground Response Analysis for the Determination of Dynamic Soil Properties of Multilayered System. Indian Geotech J 54, 547–576 (2024). https://doi.org/10.1007/s40098-023-00791-8
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DOI: https://doi.org/10.1007/s40098-023-00791-8