Leak Detection in a Branched System by Inverse Transient Analysis with the Admittance Matrix Method

Abstract

The diagnosis of water distribution systems by means of the inverse transient analysis requires efficient and reliable numerical models. In the network admittance matrix method (NAMM) the 1-D waterhammer governing equations are integrated in the frequency domain and organized in a laplacian matrix form. The NAMM is particularly suitable for complex systems because of this structure and can be used for the system diagnosis, including leak sizing and location. In this paper a damaged branched system is considered and the diagnosis is performed by means of the NAMM using experimental data from laboratory transient tests. Two different boundary conditions are used in the implementation of the NAMM and the leak is located and sized with a reasonable approximation. An extended numerical investigation is also presented and allows confirmation of the results for different leak locations. The use of the NAMM for the leak detection and the validation using experimental data on a branched system are the main original contributions of this work. The successful diagnosis indicates promising results for applications in more complex systems.

Leakage Management and Pipe System Efficiency. Its Influence in the Improvement of the Efficiency Indexes

“…Reference [10] proposed a technique for leakage detection based on the well-known properties of transient pressure waves. A method for the analysis of inverse transients through a numerical model is proposed in [11].…”

Merging Fluid Transient Waves and Artificial Neural Networks for Burst Detection and Identification in Pipelines

“…A different group of techniques involves the use of fluid transients to detect the occurrence of bursts in water systems. These techniques are able to detect and locate anomalies in pipelines such as leaks (Wang et al 2002;Lee et al 2007a, b;Capponi et al 2017), blockages (Rubio Scola et al 2017), or wall deterioration (Gong et al 2013) and have obtained accurate results. Liggett and Chen (1994) proposed an inverse transient algorithm to detect leaks using the method of characteristics (MOC) and the Levenberg-Marquardt method to find friction and leak parameters in a system.…”

Extremely Sensitive Anomaly Detection in Pipe Networks Using a Higher-Order Paired-Impulse Response Function with a Correlator

“…Anomalies with a limited spatial extent can be analyzed as lumped elements, such as a leak. Frequency response diagram (FRD) analysis (Lee et al 2006;Sattar and Chaudhry 2008;Duan et al 2011); cepstrum analysis (Taghvaei et al 2006;Shucksmith et al 2012); transient damping method (Wang et al 2002); inverse transient analysis (Liggett and Chen 1994;Kim 2005;Vítkovský et al 2007;Covas and Ramos 2010;Capponi et al 2017); time-domain reflectometry (TDR) methods (Brunone 1999;Ferrante and Brunone 2004); impulse response function (IRF) analysis (Liou 1998;Nguyen et al 2018;Wang et al 2020); the matched-field processing method (Wang and Ghidaoui 2018;Wang et al 2019); and the paired-IRF method (Zeng et al 2020a) can be used to detect such localized anomalies.…”