Correlation of ground motion intensity parameters used for predicting structural and geotechnical response

Bycombiningprobabilisticdescriptionsofgroundmotionintensitywithpredictionsofstructural or geo-technical response as a function of that intensity, it is possible to compute the seismic reliability of engineeringsystems.Thisapproachhasbeenusedforassessmentofstructuralreliabilityconsideringseismically- induced collapse, as well as geotechnical reliability considering liquefaction failures. But reliability assessments that simultaneously consider both structural and geotechnical failures are currently not possible using this approach, because structural and geotechnical responses are generally predicted using different ground motion intensityparameters,andthetoolsarenotyetavailablefordeterminingaprobabilisticcharacterizationofthejoint occurrence of these parameters. This paper develops models for the stochastic dependence between observed values of elastic response spectral values, peak ground acceleration, and Arias Intensity. By combining these correlation models with existing ground motion prediction equations, it is possible to characterize the joint distribution of the various ground motion intensity parameters needed to predict structural and geotechnical failures. The correlation coefficients of interest are calculated empirically from a large set of recorded and processed strong ground motions, and analytic predictive equations are fitted to the results. Once the correlation coefficients have been determined, a simple example calculation is performed to demonstrate the use of the result, and to illustrate the importance of considering this correlation when performing a seismic reliability analysis that considers both structural and geotechnical failures.

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