Abstract

An accurate prediction of pipes failure rate plays a substantial role in the management of Water Distribution Networks (WDNs). In this study, a field study was conducted to register pipes break and relevant causes in the WDN of Yazd City, Iran. In this way, 851 water pipes were incepted and localized by the Global Positioning System (GPS) apparatus. Then, 1033 failure cases were reported in the eight zones of understudy WDN during March-December 2014. Pipes break rate (BRP) was calculated using the depth of pipe installation (hP), number of failures (NP), the pressure of water pipes in operation (P), and age of pipe (AP). After completing a pipe break database, robust Artificial Intelligence models, namely Multivariate Adaptive Regression Spline (MARS), Gene-Expression Programming (GEP), and M5 Model Tree were employed to extract precise formulation for the pipes break rate estimation. Results of the proposed relationships demonstrated that the MARS model with Coefficient of Correlation (R) of 0.981 and Root Mean Square Error (RMSE) of 0.544 provided more satisfying efficiency than the M5 model (R = 0.888 and RMSE = 1.096). Furthermore, statistical results indicated that MARS and GEP models had comparatively at the same accuracy level. Explicit equations by Artificial Intelligence (AI) models were satisfactorily comparable with those obtained by literature review in terms of various conditions: physical, operational, and environmental factors and complexity of AI models. Through a probabilistic framework for the pipes break rate, the results of first-order reliability analysis indicated that the MARS technique had a highly satisfying performance when MARS-extracted-equation was assigned as a limit state function.

Highlights

  • The deterioration of pipes causing to pipe failures and leaks in urban Water Distribution Networks (WDN) has become the cornerstone of water utilities throughout the world

  • A reliability analysis was set on the Artificial Intelligence (AI) model which had the best performance in the failure rate prediction of WDN

  • - Field investigation demonstrated that the common causes of water pipes failures in the case study of WDN included seven reasons: excavation operation, rusty water pipe, leak, pressure fluctuation, settlement, heavy vehicles, and inappropriate operation in the field

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Summary

Introduction

The deterioration of pipes causing to pipe failures and leaks in urban Water Distribution Networks (WDN) has become the cornerstone of water utilities throughout the world. Complexity degree of ALBN model by Tang et al (2019) (i.e., complete selection of effective factors and intrinsic properties of ALBN) is relatively higher than those obtained by MARS [Eq(5)] and GEP [Eq(6)] techniques, the predictions of pipe break rate in the current study were comparatively more precise than Tang et al (2019) investigation.

Results
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