Modeling water distribution networks facilitates assessment of system resiliency, improvements for demand forecasting, and overall optimization of limited system resources. This report serves as an introduction to the fundamentals of Water Distribution Networks (WDN) and provides insight into modern approaches of modeling these critical infrastructures. We provide an overview of core components within a WDN and a literature review and summary of current modeling approaches. We investigate and compare three unique vulnerability assessment methodologies based upon a graph theoretic approach. We assess the merits of each approach and the associated analytics implemented to identify the critical nodes and edges within a network. The first method utilizes a topological approach and segments the network into valve-enclosed sections. Analysis is centered on a depth-first search to identify nodes which would impact the most downstream nodes. The second method fuses topological and hydraulic data calculated using software such as EPANET. Various centrality measures corresponding to portion of network flow are used to assess vulnerability. The last method focuses on pipe (edge) vulnerability, incorporating information such as the average daily flow through each pipe as key parameters to algorithmically assess vulnerability.
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