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Published in:
2006 | OriginalPaper | Chapter
Wavelet and Cepstrum Analyses of Leaks in Pipe Networks
Authors : S.B.M. Beck, J. Foong, W.J. Staszewski
Published in: Progress in Industrial Mathematics at ECMI 2004
Publisher: Springer Berlin Heidelberg
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It is well known that discontinuities in pipe networks give reflections to pressure waves that can be analysed to find the time delay between the original signal and the reflected one. A leak in a pipe will also give a reflection point, though possibly a more diffuse one. It is a reasonably straightforward task (using, say, a cross correlation) to measure the time delay of the first reflection, but more complicated methods are required to extract data about further reflections from, for example, the end of the pipe which has a leak in it.
Cepstrum techniques were used to find the common pipe lengths in the network. Latterly, this has been used in conjunction with wavelet analysis to filter the data. Finally, continuous wavelets are being used. These help to explain many of the results that have previously been produced. These were conducted on both real (experimental) and modelled networks.