A complex network approach to robustness and vulnerability of spatially organized water distribution networks

Details A complex network approach to robustness and vulnerability of spatially organized water distribution networks A complex network approach to robustness and vulnerability of spatially organized water distribution networks

2010-08-10

arxiv.org/abs/1008.1770v2

Physics

Physics and Society

18 pages, 2 figures, A slightly different version of this work has been submitted to Water Distribution System Analysis Confer

Scientific paper

In this work, water distribution systems are regarded as large sparse planar graphs with complex network characteristics and the relationship between important topological features of the network (i.e. structural robustness and loop redundancy) and system resilience, viewed as the antonym to structural vulnerability, are assessed. Deterministic techniques from complex networks and spectral graph theory are utilized to quantify well-connectedness and estimate loop redundancy in the studied benchmark networks. By using graph connectivity and expansion properties, system robustness against node/link failures and isolation of the demand nodes from the source(s) are assessed and network tolerance against random failures and targeted attacks on their bridges and cut sets are analyzed. Among other measurements, two metrics of meshed-ness and algebraic connectivity are proposed as candidates for quantification of redundancy and robustness, respectively, in optimization design models. A brief discussion on the scope and limitations of the provided measurements in the analysis of operational reliability of water distribution systems is presented.

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