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Multiple Leakage Function for a Simple Pipeline System

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  • Sang Hyun Kim

    (Pusan National University)

Abstract

Leakage is responsible for pressure reduction and water loss in water distribution systems. Approaches for detection of leaks, based on the pressure variation impact from the boundary condition of a leakage point, have been explored to calibrate location and leakage quantity. Even through expression in the frequency domain allows precise description of abnormalities along pipeline systems, existing leakage formulations suffer from complexity in the analytical derivation for multiple leakage conditions. This study proposes an alternative method, the multiple leakage function (MLF), for an efficient multiple leakage representation of a reservoir pipeline valve system in the frequency domain. To address unsteady friction impact on a multiple leakage situation, the MLF was used with one-dimensional and two − dimensional unsteady friction models. Model validation was achieved by comparing impedance frequency responses with those of existing approaches. Strengths associated with the MLF were discussed in terms of model parsimony, computational accuracy, and leak detection capability. Feasibility of the MLF was confirmed for robustness in the leakage implementation sequence and for identification of any single leakage, which is useful in detecting multiple leakages in real systems.

Suggested Citation

  • Sang Hyun Kim, 2017. "Multiple Leakage Function for a Simple Pipeline System," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 31(9), pages 2659-2673, July.
  • Handle: RePEc:spr:waterr:v:31:y:2017:i:9:d:10.1007_s11269-017-1650-5
    DOI: 10.1007/s11269-017-1650-5
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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. Marco Ferrante & Bruno Brunone & Silvia Meniconi & Bryan Karney & Christian Massari, 2014. "Leak Size, Detectability and Test Conditions in Pressurized Pipe Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 28(13), pages 4583-4598, October.
    3. Huan-Feng Duan, 2015. "Uncertainty Analysis of Transient Flow Modeling and Transient-Based Leak Detection in Elastic Water Pipeline Systems," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 29(14), pages 5413-5427, November.
    4. Ali Haghighi & Helena Ramos, 2012. "Detection of Leakage Freshwater and Friction Factor Calibration in Drinking Networks Using Central Force Optimization," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 26(8), pages 2347-2363, June.
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