Sensitivity patterns in 1D and 2D free open channel models - consequences on calibration and validation
Résumé
A sensitivity analysis is carried out for the 1D and 2D steady state shallow water flow models. The analysis shows that 1D and 2D models behave in radically different way with respect to the various flow parameters. Consequently, they cannot be calibrated and validated using the same methodology. The 1D shallow water sensitivity obeys a quasi-linear degradation equation, while the 2D shallow water sensitivity equations may be elliptic or hyperbolic depending on the flow regime. In 2D models, the sensitivity propagates farther in the transverse than in the longitudinal direction; the longitudinal flow component and the water level provide redundant information, while the transverse flow component is shown to provide additional information. The theoretical analysis is confirmed by empirical sensitivity calculations carried out using a real-world geometry.
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