Technical Report CSI-0046

Critical Flow Values, Degradation and Systems Failure of Water Distribution Networks

K. A. Hawick

Archived: 2016

Abstract

Water distribution networks taking the form of physical networks of pipes display several complex behavioural phenomena, not least due to the range of capacities, ages and states of repairs of different parts of the network. We explore models of water distribution useing flow-based graph metrics as well as betweenness centrality computed on edges or pipes in flow networks. We explore the degradation and critical failure point of some actual and simulated networks using a process of ranking and removing the most critical pipe in the network, and subsequently examining the consequences for the remainder of the system. We explore how some additions made to the network at the right locations and at appropriate times before further failures, can maintain the integrity of the overall system, but which still change its overall properties in a complex manner.

Keywords: critical flow; edge betweenness; betweenness centrality; graph; network; pipe network; water distribution

Full Document Text: Not yet available.

Citation Information: BiBTeX database for CSI Notes.

BiBTeX reference:

@TechReport{CSI-0046,
        Title = {Critical Flow Values, Degradation and Systems Failure of Water Distribution Networks},
        Author = {K. A. Hawick},
        Institution = {Computer Science, University of Hull},
        Year = {2016},
        Address = {Cottingham Road, Hull HU6 7RX, UK},
        Month = {March},
        Number = {CSI-0046},
        Type = {CSI},
        Keywords = {critical flow; edge betweenness; betweenness centrality; graph; network; pipe network; water distribution},
        Owner = {kahawick},
        Timestamp = {2016.11.07}
}