Prior Assumptions for Leak Localisation in Water Distribution Networks with Uncertainties

Caroline Blocher (), Filippo Pecci and Ivan Stoianov
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Caroline Blocher: Imperial College London
Filippo Pecci: Imperial College London
Ivan Stoianov: Imperial College London

Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), 2021, vol. 35, issue 15, No 3, 5105-5118

Abstract: 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.

Keywords: Leak localisation; Water distribution network; Regularisation; Inverse problem (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1007/s11269-021-02988-z

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