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Local and Global Leak Laws

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  • Marco Ferrante
  • Silvia Meniconi
  • Bruno Brunone

Abstract

The relationship between the functioning conditions of pipe systems and the leakage, or leak law, can be used at two different scales. At a local scale, i.e. for a single leak, it is derived from the classical orifice equation and, basing on experimental data, is modified to take into account all the relevant parameters it depends on (e.g., leak shape, pipe material and thickness, …). At a global scale, for a whole district or a part of a pressurized pipe system with several leaks, the same relationship is often used, basing on the assumption that the combination of local leak laws produces a similar global leak law. In this paper the effects of the spatial variation of the leak law parameters at the local scale on the leak law at a global scale are analyzed. Two leak laws derived from the orifice equation, the power law and the linear law, are considered. Results suggest that the global leak law exponent is larger than the corresponding mean local leak law exponent since it takes into account the spatial variability of the quantities affecting leakage. Copyright Springer Science+Business Media Dordrecht 2014

Suggested Citation

  • Marco Ferrante & Silvia Meniconi & Bruno Brunone, 2014. "Local and Global Leak Laws," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(11), pages 3761-3782, September.
    • Handle: RePEc:spr:waterr:v:28:y:2014:i:11:p:3761-3782
    DOI: 10.1007/s11269-014-0708-x
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    References listed on IDEAS

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    1. Silvia Meniconi & Bruno Brunone & Marco Ferrante & Christian Massari, 2011. "Small Amplitude Sharp Pressure Waves to Diagnose Pipe Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 25(1), pages 79-96, January.
    2. I. Karadirek & S. Kara & G. Yilmaz & A. Muhammetoglu & H. Muhammetoglu, 2012. "Implementation of Hydraulic Modelling for Water-Loss Reduction Through Pressure Management," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(9), pages 2555-2568, July.
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    Citations

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    Cited by:

    1. David B. Steffelbauer & Daniela Fuchs-Hanusch, 2016. "Efficient Sensor Placement for Leak Localization Considering Uncertainties," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(14), pages 5517-5533, November.
    2. Mauro Marchis & Chiara M. Fontanazza & Gabriele Freni & Vincenza Notaro & Valeria Puleo, 2016. "Experimental Evidence of Leaks in Elastic Pipes," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 30(6), pages 2005-2019, April.
    3. Najam us Saqib & Muhammad Faizan Mysorewala & Lahouari Cheded, 2017. "A Multiscale Approach to Leak Detection and Localization in Water Pipeline Network," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(12), pages 3829-3842, September.
    4. Rokstad, Marius Møller & Ugarelli, Rita Maria, 2015. "Minimising the total cost of renewal and risk of water infrastructure assets by grouping renewal interventions," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 148-160.
    5. Mauro Marchis & Barbara Milici, 2019. "Leakage Estimation in Water Distribution Network: Effect of the Shape and Size Cracks," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(3), pages 1167-1183, February.

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