Flow Analysis of Water Supply Networks Post-Earthquake

Abstract eng:
In this paper, the flow analysis of water supply networks post-earthquake is performed based on the reliability analysis of pipelines. The limit state function of a buried pipeline (bell and spigot joint) is given according to the wave propagation theory. The key variables of the limit state function are assumed to be normally distributed and uncorrelated or non-normally distributed and correlated. For these two cases, The Ditlevsen or the H-L formula may be used to compute the reliability index of pipelines. It is very convenient that the Ditlevsen formula is adopted to calculate reliability index of pipelines by the optimization tool of the spreadsheet software (Excel 2000). If the H-L formula is used the arithmetic of partial derivatives, equivalent normally and linear transformation will involved on the user’ part. It usually is very difficult to do it. But in this paper the MATLAB program library (Symbolic Math Toolbox) is used to find partial derivatives of the limit state function of buried pipelines and other functions so that the computation of the reliability index of a pipeline can become very simple. The flow analysis of damaged water supply networks is made accounting for the leakage in water systems. The point leakage model is adopted to simulate the leakage, and the anti-sin function of losing probability of pipelines is proposed to express the relation of the leakage area and the losing probability of pipelines.

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