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Prior Assumptions for Leak Localisation in Water Distribution Networks with Uncertainties

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  • Caroline Blocher

    (Imperial College London)

  • Filippo Pecci

    (Imperial College London)

  • Ivan Stoianov

    (Imperial College London)

Abstract

Hydraulic model-based leak (burst) localisation in water distribution networks is a challenging problem due to a limited number of hydraulic measurements, a wide range of leak properties, and model and data uncertainties. In this study, prior assumptions are investigated to improve the leak localisation in the presence of uncertainties. For example, $$\ell _2$$ ℓ 2 -regularisation relies on the assumption that the Euclidean norm of the leak coefficient vector should be minimised. This approach is compared with a method based on the sensitivity matrix, which assumes the existence of only a single leak. The results show that while the sensitivity matrix method often yields a better leak location estimate in single leak scenarios, the $$\ell _2$$ ℓ 2 -regularisation successfully identifies a search area for pinpointing the accurate leak location. Furthermore, it is shown that the additional error introduced by a quadratic approximation of the Hazen-Williams formula for the solution of the localisation problem is negligible given the uncertainties in Hazen-Williams resistance coefficients in operational water network models.

Suggested Citation

  • Caroline Blocher & Filippo Pecci & Ivan Stoianov, 2021. "Prior Assumptions for Leak Localisation in Water Distribution Networks with Uncertainties," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 35(15), pages 5105-5118, December.
    • Handle: RePEc:spr:waterr:v:35:y:2021:i:15:d:10.1007_s11269-021-02988-z
    DOI: 10.1007/s11269-021-02988-z
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    References listed on IDEAS

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    1. Xiang Xie & Dibo Hou & Xiaoyu Tang & Hongjian Zhang, 2019. "Leakage Identification in Water Distribution Networks with Error Tolerance Capability," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 33(3), pages 1233-1247, February.
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