Standardized uncertainty analysis for hydrometry: a review of relevant approaches and implementation examples

Muste, Marian; Lee, Kyutae; Bertrand-Krajewski, Jean-Luc

doi:10.1080/02626667.2012.675064

Cited by 37 publications

(17 citation statements)

References 15 publications

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“…Obviously the uncertainty in runoff due to uncertainty in rainfall is lowered by averaging rainfalls at several time steps (with weights U ( i )). Uncertainty in runoff due to uncertainty in rainfall can be evaluated by the Monte Carlo method [ Muste et al ., ]. In this synthetic case, the length of the unit hydrograph is around 60 time steps (see Figure a).…”

Section: Resultsmentioning

confidence: 99%

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Separately accounting for uncertainties in rainfall and runoff: Calibration of event-based conceptual hydrological models in small urban catchments using Bayesian method

Sun

Bertrand-Krajewski

2013

Water Resour. Res.

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[1] Uncertainty analysis of hydrological models is usually based on model calibration, and the Bayesian method is a popular way to evaluate the uncertainty. The traditional Bayesian method usually uses lumped model residuals to form the likelihood function, where uncertainty in inputs (rainfall) is not explicitly addressed. This paper compares three approaches based on Bayesian inferences, considering rainfall uncertainty either implicitly or explicitly in calibration. Consistent parameter estimation and reliable quantification of predictive uncertainty are mainly examined. When rainfall uncertainty is explicitly treated in calibration, several rainfall observations at one-minute time steps are grouped to share one multiplier to consider the possible observation errors. The appropriate grouping strategy that balances the representativeness and the complexity of the problem is suggested. The application of the methods considered in this study focuses on small urban catchments (<200 ha) with a small temporal scale (1 min time step), in contrast to most literature studies dealing with larger catchments monitored at larger time steps. It is found that uncertainty in rainfall has a minor contribution to the total uncertainty in runoff estimation, and this minor role can be explained by the low pass filter effect of the linear reservoir model. However, the approach explicitly accounting for input uncertainty results in more informed knowledge for uncertainties related with hydrological model calibrations, which can possibly provide an estimation of uncertainty attributed to rainfall records. It should be noted that rainfall error estimates can compensate model structural uncertainty that is not explicitly addressed in this study.Citation: Sun, S., and J.-L. Bertrand-Krajewski (2013), Separately accounting for uncertainties in rainfall and runoff: Calibration of event-based conceptual hydrological models in small urban catchments using Bayesian method, Water Resour. Res., 49, 5381-5394,

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Section: Resultsmentioning

confidence: 99%

“…Resultant relative standard uncertainties in runoff measurements fluctuate with varied discharges, approximately ranging from 15 to 25% (refer to Bertrand‐Krajewski and Bardin [] and Muste et al . [] for details).…”

Section: Applicationsmentioning

confidence: 99%

Separately accounting for uncertainties in rainfall and runoff: Calibration of event-based conceptual hydrological models in small urban catchments using Bayesian method

Sun

Bertrand-Krajewski

2013

Water Resour. Res.

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“…with u(Q TEST ) the standard uncertainty (m 3 /s) in Q TEST calculated according to standard methods [12,13,19]. …”

Section: Operational Protocolmentioning

confidence: 99%

Rhodamine WT tracer experiments to check flow measurements in sewers

Lepot

Momplot

Kouyi

et al. 2014

Flow Measurement and Instrumentation

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“…In the latter, the analysis is based on information obtained from external sources or through probabilistic distributions adopted for the input variables according to the specificities of the experimental procedures. Muste et al (2012) used the GUM in a hydrometric application.…”

Section: Pitot Tube Velocity Measurementsmentioning

confidence: 99%

An alternative method for measuring velocities in open-channel flows: perfomance evaluation of a Pitot tube compared to an acoustic meter

Almeida

Souza

2017

RBRH

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Hydrometric measurements undertaken in channels with high velocities are conditioned to the particularities of the flow, which is often characterized by instantaneous fluctuations and disturbances on the free surface. In such cases, the uncertainties associated with velocity fluctuations exceed the precision offered by the instruments that are employed in conventional techniques. A reasonable accuracy of the results is therefore sufficient to accomplish the objective of the measurements. The use of devices based on Pitot's principle in fast open-channel flows could be an effective alternative to conventional velocity meters. This study aimed to develop a Pitot tube in its simplest configuration and evaluate its performance in a laboratory channel at velocities ranging from 0.2 to 2.0 m/s. The uncertainties in the static and total head readings were propagated to the output velocities, showing that the device built has the potential for measurements over 1.2 m/s, but it is not recommended for low velocities (<0.6 m/s). The results were compared to those taken using an Acoustic Doppler Velocimeter (ADV). The instantaneous velocity readings indicated uncertainties of the same order of magnitude in both instruments. The differences between the mean velocities measured by the Pitot tube and the ADV were restricted to an agreement range of 15%, which is expected to be gradually reduced with further increase in flow velocity. The results showed the similar performances of both devices regarding the higher velocity estimates. Therefore, velocity meters should be developed to employ Pitot devices as an alternative method in high-velocity open-channel flows.Keywords: Hydrometry; Open channel flow; Differential head meters; Pitot tube. RESUMOAplicações de hidrometria em canais com altas velocidades estão sujeitas às condições do fluxo, que geralmente é caracterizado por flutuações instantâneas e perturbações na superfície livre. Nesses casos, as incertezas associadas às flutuações de velocidade superam a precisão oferecida pelos instrumentos empregados nas técnicas convencionais. Uma exatidão razoável dos resultados é, portanto, suficiente para atender ao objetivo das medições. O uso de dispositivos baseados no princípio de Pitot em escoamentos rápidos pode ser uma alternativa eficaz ao uso dos medidores de velocidade convencionais. Este estudo teve por objetivo confeccionar um tubo de Pitot em sua configuração mais simples e avaliar seu desempenho em um canal experimental para velocidades variando no intervalo de 0,2 a 2,0 m/s. As incertezas nas leituras de carga estática e de carga total foram propagadas para as velocidades estimadas, mostrando que o dispositivo construído tem potencial para medições acima de 1,2 m/s, mas não é recomendado para baixas velocidades (<0,6 m/s). Os resultados foram comparados com um Velocímetro Acústico de Efeito Doppler (ADV). As leituras de velocidade instantânea indicaram incertezas de mesma magnitude em ambos os instrumentos. As diferenças entre as velocidades médias estimadas co...

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Standardized uncertainty analysis for hydrometry: a review of relevant approaches and implementation examples

Cited by 37 publications

References 15 publications

Separately accounting for uncertainties in rainfall and runoff: Calibration of event-based conceptual hydrological models in small urban catchments using Bayesian method

Separately accounting for uncertainties in rainfall and runoff: Calibration of event-based conceptual hydrological models in small urban catchments using Bayesian method

Rhodamine WT tracer experiments to check flow measurements in sewers

An alternative method for measuring velocities in open-channel flows: perfomance evaluation of a Pitot tube compared to an acoustic meter

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