“…Secondly, localizing the origin of water-hammer waves necessitates a real-time high-frequency monitoring with widely distributed detectors, rarely deployed in WDNs. Thirdly, the computational cost of direct transient wave modeling in water distribution networks is very challenging either using the Method Of Characteristics (Wang et al, 2014;Nault et al, 2018;Meniconi et al, 2021;Moosavian and Lence, 2020;Riaño-Briceño et al, 2022), or finite volumes e.g (Pal et al, 2021;Zhang et al, 2021). Fourthly, an inverse method capable of identifying the origin of a reverberating water hammer wave over a large network, solving as many direct problems as tentative tries for possible origin, is obviously even more challenging.…”