Decoupling elevation errors from pipe roughness calibration in hydraulic network models

Accurate calibration of hydraulic models of water distribution systems (WDSs) is essential for reliable simulations. After eliminating gross errors, including those in estimated demands, pipe roughness coefficients (PRCs) are the most often used calibration parameters. Although numerous PRC calibration methods exist to ensure model simulations align well with field observations, they typically assume error-free pressure gauge elevations and overlook the compensatory interactions between elevation errors and PRC uncertainties. This often results in biased PRC calibration outcomes. To overcome this limitation, this paper introduces a novel framework that decouples elevation errors by minimizing the standard deviation of pressure residual time series, rather than relying on traditional residual minimization techniques. Additionally, a clustering-based data preprocessing approach is employed to reduce the impact of uncertain nodal demands and measurement noise. Tests on three benchmark networks demonstrate that the proposed method accurately calibrates PRCs, even when accounting for elevation inaccuracies, nodal demand uncertainties and measurement noise simultaneously. This establishes a new paradigm that leverages the statistical characteristics of residual time series to enable error-decoupled model calibration. Crucially, the method also quantifies pressure gauge elevation errors through post-calibration residual analysis, eliminating the need for costly field surveys. This advancement is particularly valuable for regions with missing or erroneous elevation data, significantly improving WDS calibration practices.