The seismic damages of pipelines in urban water distribution network (WDN) are often correlated as the pipelines have similarity in pipe material, construction procedure and maintenance approaches, and may suffer from spatial correlated ground motion, which significantly affect seismic functionality assessment of WDN. Existing studies on the seismic functionality of WDN accounting for pipeline failure correlations are all based on network connectivity reliability models, which unable to depicts the energy dissipation and water losses at the seismic damages of the WDN. By utilizing the hydraulic simulation to water delivery and pressure of WDN, this study proposes a framework for seismic functionality assessment of WDN with pipeline damages caused by spatial correlated ground motion. The spatial correlation coefficient of ground motion is first computed by the attenuation relationship of intensity measure, then the seismic failure probability of pipeline and the correlation coefficients among pipeline failure events are derived. Furthermore, the correlated damage samples of pipelines are generated by Cholesky decomposition combined with Sobol's sequences, and the hydraulic models with pipeline damages are applied to evaluate the seismic functionality of the WDN. Finally, the proposed framework is implemented in various benchmark WDN cases to investigate the influence of pipeline failure correlations on both system-level and node-level functionality. The results reveal that the seismic functionality of WDN considering pipeline failure correlation is higher than that obtained under the assumption of independent failures of pipelines, and there are dramatically differences among the results of hydraulic simulation that of network connectivity analysis.
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