Reliability Analysis of a Gravity Adduction of Water Supply System: Case Study

Karima Bouzelha; Hocine Hammoum; Melissa Rezki; Hafidh Belabes

Reliability Analysis of a Gravity Adduction of Water Supply System: Case Study

Abstract

The gravitational transfer of drinking water through gravity-fed supply pipes from a departure tank to a receiving tank often follows very complex and winding itineraries. The longitudinal profiles of these itineraries consist of a succession of singular points (top and bottom points). A common mistake made by inexperienced engineers is to ignore these specific features and focus only on the levels of the departure and receiving tanks. The problem becomes even more complex when the longitudinal profile forms a siphon, where the transferred water undergoes a significant drop to the lowest point before rising again to reach the receiving tank. This paper focuses on the study of a practical case of a siphon in a gravity-fed water supply system connecting two tanks over a distance of 15.25 km. By using a Geographic Information System (GIS), a Digital Elevation Model (DEM) was generated along the pipeline itinerary to highlight the terrain's complexity and the singular points of the pathway. A deterministic analysis was conducted to evaluate the service life of the siphonshaped gravity-fed water supply system. This analysis revealed that uncertainties in the gravity adduction, particularly regarding the internal roughness of the pipeline, can directly impact operating pressures at singular points and, consequently, affect the system’s lifetime. Additionally, a reliability-based analysis was performed, accounting for the random variability of roughness. The limit state function is governed by the normal operating conditions and failure criteria of the water supply system. The failure probabilities of the gravity adduction with respect to these limit state functions were computed using the classical Monte Carlo simulation method and then compared to the allowable failure probability for civil engineering structures

Keywords

References

Bouzelha, K., Hammoum, H., Rezki, M., & Belabes, H. (2025). Reliability analysis of a gravity adduction of water supply system: Case study. The Eurasia Proceedings of Science, Technology, Engineering and Mathematics (EPSTEM), 36, 28-38.

Details

Primary Language

English

Subjects

Classical Physics (Other)

Journal Section

Research Article

Authors

Karima Bouzelha This is me
Algeria

Hocine Hammoum This is me
Algeria

Melissa Rezki This is me
Algeria

Hafidh Belabes This is me
Algeria

Early Pub Date

October 31, 2025

Publication Date

-

Submission Date

June 3, 2025

Acceptance Date

July 9, 2025

Published in Issue

Year 2025 Volume: 36

IZ

https://izlik.org/JA25MB86MK

Cite

RIS / Bibtex

APA

Bouzelha, K., Hammoum, H., Rezki, M., & Belabes, H. (2025). Reliability Analysis of a Gravity Adduction of Water Supply System: Case Study. The Eurasia Proceedings of Science Technology Engineering and Mathematics, 36, 28-38. https://izlik.org/JA25MB86MK