A Simplified Method for Performing Vector-Valued Probabilistic Seismic Hazard Analysis

For a seismic risk analysis, the seismic hazard results are usually combined with fragility functions to calculate the probability of seismic losses. Because vector-valued ground-motion intensity measures (IMs) are increasingly used by researchers and practicing engineers to evaluate fragility functions, seismic hazard calculations in terms of vector-valued IMs are required, which are determined by vector-valued probabilistic seismic hazard analysis (PSHA). However, the large computational cost associated with vector-valued PSHAs impedes the application of vector-valued IMs in performing a seismic risk analysis. The study presents a simplified method for conducting vector-valued PSHAs. This simplified method is developed using proposed equivalent earthquakes that are derived from conventional seismic hazard deaggregation. Formulas for performing vector-valued PSHAs using the simplified method are also proposed. Based on a numerical example, this study demonstrates the accuracy and efficiency of the proposed method.