Water distribution networks (WDNs) supply drinking water to end users by maintaining sufficient water pressure for reliable water supply in normal and abnormal conditions. To design and operate WDNs in efficient way, it is required to quantify water supply ability of the network. Various reliability indices have been developed and applied in this field. Most of the reliability indices are calculated based on the energy within a network; that is, the total energy entered the network, the energy dissipated through water supply process, and the energy finally supplied at the nodes, etc. This study explains the energy composition in WDNs and introduces three well-known reliability indices developed based on the energy composition of the network. The three indices were applied to a study network under various demand loading scenarios that could occur in real-life operation practices. This study aimed to investigate the applicability of the reliability indices under abnormal scenarios and proposed to illustrate the spatial distribution of the system reliability in more intuitive way for proper responses to the abnormal situations.