Abstract

This paper proposes a framework for a reliability-based flow analysis for a water pipe network after an earthquake. For the first part of the framework, we propose to use a modeling procedure for multiple leaks and breaks in the water pipe segments of a network that has been damaged by an earthquake. For the second part, we propose an efficient system-level probabilistic flow analysis process that integrates the matrix-based system reliability (MSR) formulation and the branch-and-bound method. This process probabilistically predicts flow quantities by considering system-level damage scenarios consisting of combinations of leaks and breaks in network pipes and significantly reduces the computational cost by sequentially prioritizing the system states according to their likelihoods and by using the branch-and-bound method to select their partial sets. The proposed framework is illustrated and demonstrated by examining two example water pipe networks that have been subjected to a seismic event. These two examples consist of 11 and 20 pipe segments, respectively, and are computationally modeled considering their available topological, material, and mechanical properties. Considering different earthquake scenarios and the resulting multiple leaks and breaks in the water pipe segments, the water flows in the segments are estimated in a computationally efficient manner.

Highlights

  • Water pipe networks constitute one of the largest of our essential infrastructure assets and make a substantial contribution to economic services, industrial activities, quality of life, and the environment

  • The model is stored as a keyhole markup language (KML) file containing the network’s coordinate information for pipelines and junctions. (ii) The KML information from Google Earth is decompressed using GPS Visualizer, an Internet-based public-domain software product developed in 2002

  • A new KML file is created using GPS Visualizer which contains the accurate coordinates and ground profile of the water pipeline network. (iii) The KML file created in GPS Visualizer is imported into the ArcGIS software to undertake further modeling of the water pipeline network

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Summary

Introduction

Water pipe networks constitute one of the largest of our essential infrastructure assets and make a substantial contribution to economic services, industrial activities, quality of life, and the environment. Yoo et al [14] proposed an optimal design scheme for a water distribution system to maximize the seismic reliability estimated based on a proposed indicator These studies are still not able to consider network quantities along with all possible seismic hazard scenarios that would cause leaks and breaks in multiple pipe segments. The second part of the proposed framework is a computationally efficient analysis process for the probabilistic postearthquake water flow analysis of a network considering system-level damage scenarios such as the leakage from and breakage of multiple pipes using the matrix-based system reliability (MSR) analysis framework [10, 17] and the branchand-bound method [18, 19]. Preliminary results on the proposed algorithm were reported in [20]

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