Rating curve modelling with Manning's equation to manage instability and improve extrapolation

Leonard, J.; Miétton, Michel; Najib, Hamid Reza; Gourbesville, Philippe

doi:10.1080/02626660009492374

Cited by 55 publications

(29 citation statements)

References 5 publications

(6 reference statements)

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“…Empirical methods such as the velocity-area and the conveyance-area methods (WMO, 1980;Rantz et al, 1982) yield acceptable extrapolations, but assume steady and uniform flows, which may prove restrictive. Two studies used simple hydraulic equations based on channel control (Leonard et al, 2000) and critical control (Petersen-Overleir, 2006). The models were objectively calibrated using the available stagedischarge measurements and the measured channel topography.…”

Section: Existing Methods For Extrapolating a Stage-discharge Relatiomentioning

confidence: 99%

Extrapolation of rating curves by hydraulic modelling, with application to flood frequency analysis

Lang¹,

Pobanz

Renard³

et al. 2010

Hydrological Sciences Journal

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Extrapolation of rating curves by hydraulic modelling, with application to flood frequency analysis. Hydrol. Sci. J. 55 (6), 883-898. Abstract This paper illustrates the importance of taking into account the potential errors in discharge estimation in the assessment of extreme floods. First, a summary of the main difficulties encountered in extrapolating rating curves for flood discharge is provided. Then a sensitivity analysis is carried out using a hydraulic modelling approach, applied to eight Mediterranean catchments, and yielding an envelope curve for the stage-discharge relationship, Q(H). To assess the influence of errors in the flood discharge on the uncertainty in estimating extreme floods, a Bayesian framework including a multiplicative error on the rating curve was applied. Its application on two catchments for which historical data are available for the period shows that ignoring the rating curve errors may lead to an unduly optimistic reduction in the final uncertainty in estimation of flood discharge quantiles. Moreover, the quantile values are also affected by taking into account the rating curve errors.Exptrapolation des courves de tarage par modélisation hydraulique, avec application à l'analyse fréquentielle des crues Résumé Cet article illustre l'importance de prendre en considération les erreurs possibles sur l'estimation des débits pour l'estimation des crues extrêmes. Après un rappel des principales difficultés liées à l'extrapolation des courbes de tarage, une analyse de sensibilité par une approche hydraulique fournit une courbe enveloppe pour la conversion des hauteurs de crue en débit, pour huit bassins méditerranéens. Un modèle Bayésien intégrant une erreur multiplicative sur les courbes de tarage permet d'apprécier l'influence des erreurs sur les débits de crue sur l'incertitude d'estimation des crues extrêmes. L'application sur deux bassins versants pour lesquels une information historique est disponible sur la période (1741-2004) montre qu'ignorer les erreurs de courbe de tarage conduit à réduire de façon indûment optimiste l'incertitude finale sur l'estimation des quantiles de crues. De plus, les valeurs des quantiles elles-même sont également affectées par la prise en compte des erreurs de courbe de tarage.

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Section: Existing Methods For Extrapolating a Stage-discharge Relatiomentioning

confidence: 99%

Extrapolation of rating curves by hydraulic modelling, with application to flood frequency analysis

Lang¹,

Pobanz

Renard³

et al. 2010

Hydrological Sciences Journal

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“…Discharge in most Honduran rivers, and most other rivers around the world, is derived from stage‐discharge relationships (rating curves). Such an indirect calculation can introduce substantial uncertainties, particularly for high flows for which rating curves are more uncertain because high flows are often hard to measure accurately and fewer discharge measurements exist (Leonard et al , 2000; Pappenberger et al , 2006; Shrestha et al , 2007). A special uncertainty pertains to the case of non‐stationary alluvial channels, where the rating curve must be assumed to change over time because of sedimentation, erosion and other processes in the channel.…”

Section: Introductionmentioning

confidence: 99%

Stage‐discharge uncertainty derived with a non‐stationary rating curve in the Choluteca River, Honduras

Westerberg

Guerrero

Seibert

et al. 2010

Hydrological Processes

141

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Abstract:Uncertainty in discharge data must be critically assessed before data can be used in, e.g. water resources estimation or hydrological modelling. In the alluvial Choluteca River in Honduras, the river-bed characteristics change over time as fill, scour and other processes occur in the channel, leading to a non-stationary stage-discharge relationship and difficulties in deriving consistent rating curves. Few studies have investigated the uncertainties related to non-stationarity in the stagedischarge relationship. We calculated discharge and the associated uncertainty with a weighted fuzzy regression of rating curves applied within a moving time window, based on estimated uncertainties in the observed rating data. An 18-yearlong dataset with unusually frequent ratings (1268 in total) was the basis of this study. A large temporal variability in the stage-discharge relationship was found especially for low flows. The time-variable rating curve resulted in discharge estimate differences of 60 to C90% for low flows and š20% for medium to high flows when compared to a constant rating curve. The final estimated uncertainty in discharge was substantial and the uncertainty limits varied between 43 to C73% of the best discharge estimate.

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“…Di Baldassarre and Montanari, 2009;Pappenberger et al, 2006;Di Baldassarre and Claps, 2011). Leonard et al (2000), Schmidt (2002) and Herschy (2002) for example indicated that errors in discharge measurements are approximately 6 % of the flow value provided by the current meter. Pellettier (1987) reviews more than 140 publications, and maintains that, depending on many operational factors (e.g.…”

Section: A Domeneghetti Et Al: Assessing Rating-curve Uncertainty Amentioning

confidence: 99%

Assessing rating-curve uncertainty and its effects on hydraulic model calibration

Domeneghetti

Castellarin

Brath

2012

Hydrol. Earth Syst. Sci.

132

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Abstract. This study considers the overall uncertainty affecting river flow measurements and proposes a framework for analysing the uncertainty of rating-curves and its effects on the calibration of numerical hydraulic models. The uncertainty associated with rating-curves is often considered negligible relative to other approximations affecting hydraulic studies, even though recent studies point out that ratingcurves uncertainty may be significant. This study refers to a ∼240 km reach of River Po and simulates ten different historical flood events by means of a quasi-twodimensional (quasi-2-D) hydraulic model in order to generate 50 synthetic measurement campaigns (5 campaigns per event) at the gauged cross-section of interest (i.e. Cremona streamgauge). For each synthetic campaign, two different procedures for rating-curve estimation are applied after corrupting simulated discharges according to the indications reported in the literature on accuracy of discharge measurements, and the uncertainty associated with each procedure is then quantified. To investigate the propagation of rating-curve uncertainty on the calibration of Manning's roughness coefficients further model simulations are run downstream Cremona's cross-section. Results highlight the significant role of extrapolation errors and how rating-curve uncertainty may be responsible for estimating unrealistic roughness coefficients. Finally, the uncertainty of these coefficients is analysed and discussed relative to the variability of Manning's coefficient reported in the literature for large natural streams.

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Rating curve modelling with Manning's equation to manage instability and improve extrapolation

Cited by 55 publications

References 5 publications

Extrapolation of rating curves by hydraulic modelling, with application to flood frequency analysis

Extrapolation of rating curves by hydraulic modelling, with application to flood frequency analysis

Stage‐discharge uncertainty derived with a non‐stationary rating curve in the Choluteca River, Honduras

Assessing rating-curve uncertainty and its effects on hydraulic model calibration

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