Resilience and entropy as indices of robustness of water distribution networks

Abstract

The use of entropy and resilience indices for measuring robustness of water distribution networks has been investigated. The effects on network performance, caused by the failure of one or two links, have been evaluated by means of several indices for two existing medium sized water distribution networks serving two towns in southern Italy. All the possible network configurations obtained by suppressing one or two links have been studied, excluding only the cases in which disconnection of some nodes from the remaining part of the network occurred. The hydraulic simulations, carried out with a demand-driven approach by means of the EPANET2 software, have shown that, unlike entropy, resilience may represent a useful index of network robustness with regard to link failures.

Measuring spatial variability of land use associated with hydrological impact in urbanised quaternary catchments using entropy

“…For a water distribution network, a positive correlation between hydraulic reliability and entropy can be established (Tanyimboh et al, 2011). Entropy can be approached as a measure of the redundancy of the paths available for water flow in the water distribution network (Greco et al, 2012). Entropy may act as a surrogate of topological reliability, useful in water network design procedures, but does not provide information about the capability of the network to assure good performance after the occurrence of link failures (Greco, et al, 2012).…”

“…Entropy can be approached as a measure of the redundancy of the paths available for water flow in the water distribution network (Greco et al, 2012). Entropy may act as a surrogate of topological reliability, useful in water network design procedures, but does not provide information about the capability of the network to assure good performance after the occurrence of link failures (Greco, et al, 2012). The above studies suggest that the risk of failure (hence probability of occurrence) associated with increase in river runoff due to urbanisation can eventually lead to uncertainty.…”

Informational Entropy: a Failure Tolerance and Reliability Surrogate for Water Distribution Networks

“…The results to date seem to indicate that flow entropy (Tanyimboh and Templeman 1993a) yields the most consistent results (Gheisi and Naser 2015;Liu et al 2016). Recent reviews and comparisons include Liu et al (2014Liu et al ( , 2016, , Gheisi and Naser (2015), Atkinson et al (2014) and Greco et al (2012). In particular, Gheisi and Naser (2015) emphasized the importance of failure tolerance while highlighted the need for more consistency in future comparisons.…”

Comparison of Surrogate Measures for the Reliability and Redundancy of Water Distribution Systems

“…Comparisons of surrogate reliability measures include Prasad and Park (2004), Raad et al (2010), Baños et al (2011)), Tanyimboh et al (2011), Wu et al (2011), Greco et al (2012, Atkinson et al (2014), Liu et al (2014) and Gheisi and Naser (2015). While some of the studies simulated operating conditions with insufficient pressure realistically with pressuredependent modelling (Liu et al 2014;Gheisi and Naser 2015), others did not (e.g.…”

“…While some of the studies simulated operating conditions with insufficient pressure realistically with pressuredependent modelling (Liu et al 2014;Gheisi and Naser 2015), others did not (e.g. Greco et al 2012;Atkinson et al 2014). It is well known that the demand-driven analysis approach often yields misleading results when applied to operating conditions with insufficient pressure (Tanyimboh et al 1999.…”