Comprehensive review of structural deterioration of water mains: statistical models

This paper provides a comprehensive (although not exhaustive) overview of a large body of work carried out in the last twenty years to quantify the structural deterioration of water mains by analysing historical performance data. The physical mechanisms that lead to pipe failure often require data that are not readily available and are costly to obtain. Thus, physical models may currently be justified only for major transmission water mains, where the cost of failure is significant, whereas statistical models, which can be applied with various levels of input data, are useful for distribution water mains. The statistical methods are classified into two classes, deterministic and probabilistic models. Sub classes are probabilistic multi-variate and probabilistic single-variate group processing models. The review provides descriptions of the various models including their governing equations, as well as critiques, comparisons and identification of the types of data that are required for implementation. In some cases, a brief description of the methodology is provided where a decision support system was developed based on a specific statistical model. A companion paper ?Comprehensive Review of Structural Deterioration of Water Mains: Physical Models? helps to complete the picture of the work that has been done on the subject of water main deterioration and failure.Cet article donne un aper\ue7u complet (mais non exhaustif) des nombreux travaux effectu\ue9s au cours des vingt derni\ue8res ann\ue9es pour quantifier la d\ue9t\ue9rioration structurale des conduites ma\ueetresses, en analysant des donn\ue9es historiques sur la performance. L'\ue9lucidation des m\ue9canismes physiques \ue0 l'origine d'un bris exige souvent des donn\ue9es difficiles et co\ufbteuses \ue0 obtenir. On peut justifier les mod\ue8les physiques uniquement pour les conduites d'amen\ue9e principales dont le bris entra\ueene des co\ufbts importants; par contre, on peut exploiter utilement les mod\ue8les statistiques, qui peuvent \ueatre appliqu\ue9s avec divers niveaux de donn\ue9es, pour les conduites de distribution. On peut classer les m\ue9thodes statistiques en mod\ue8les d\ue9terministes et en mod\ue8les probabilistes, et ces derniers en mod\ue8les de traitement probabilistes multivari\ue9s et monovari\ue9s. Dans cet article, nous d\ue9crivons divers mod\ue8les, les \ue9quations qui les r\ue9gissent, ainsi que des critiques, des comparaisons et une description des types des donn\ue9es n\ue9cessaires pour leur utilisation. Dans certains cas, nous d\ue9crivons bri\ue8vement la m\ue9thodologie lorsqu'un syst\ue8me d'aide \ue0 la d\ue9cision a \ue9t\ue9 \ue9labor\ue9 \ue0 partir d'un mod\ue8le statistique particulier. Un article compl\ue9mentaire intitul\ue9 Comprehensive Review of Structural Deterioration of Water Mains: Physical Models (Tour d'horizon de la d\ue9t\ue9rioration de la structure des conduites ma\ueetresses ? les mod\ue8les physiques) permet de compl\ue9ter le tableau des travaux r\ue9alis\ue9s sur le sujet de la d\ue9t\ue9rioration et du bris des conduites ma\ueetresses.Peer reviewed: YesNRC publication: Ye