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224    CHAPTER 9 Reliability and failure analysis of wastewater systems




                             35

                             30

                            Number of damages (%)  20                           PE
                             25


                                                                                PVC
                             15
                                                                                Steel
                                                                                Cast iron
                             10

                              5                                                 Asbestos cement

                              0
                                   2008     2009    2010     2011     2012
                                                    Year
                         FIGURE 9.6
                         The distribution of damages of water supply conduits made of different materials in the period
                         2008-12, broken down into particular materials.


                         thermoplastic materials. The analysis covered pipelines made of cast iron, asbestos
                         cement, steel, PVC, and PE. Failures of pipelines made of other materials were dis-
                         regarded, due to lack of sufficient data.



                         3 DAMAGE ANALYSIS
                         Susceptibility to failure during service life (hereinafter referred to as susceptibility to
                         failure) is one of the crucial features that should be taken into account, when material
                         and structural solutions are selected for the construction of water supply and waste-
                         water disposal conduits. This feature is simultaneously the measure of conduit reli-
                         ability. Thus, susceptibility to failure represents conduit failure frequency that is
                         better recognized and more frequently used by practitioners dealing with utility net-
                         work systems. According to the theory of reliability of water supply and wastewater
                         disposal systems, system reliability is assessed by means of the so-called failure-free
                         operation that is expressed, among others, by the failure rate. Both parameters are
                         mutually equivalent and assume constant values in a given period of time if it is
                         assumed that the damage flow follows Poisson distribution. This assumption was
                         verified through service investigations focused on actual networks during their oper-
                         ation in regular working conditions. That is why specialists commonly use the notion
                         of susceptibility to failure or conduit vulnerability expressed with the coefficient of
                         failure rate. The lower the failure rate (i.e., the lower the susceptibility to failure), the
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