Practical identifiability and uncertainty analysis of the one-dimensional hindered-compression continuous settling model

Li, Ben; Stenstrom, Michael K.

doi:10.1016/j.watres.2015.12.034

Cited by 10 publications

(13 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…At the time of its publication, it was the most advanced one-dimensional settling tank model [23]. The potential advantages of this model include its ability to provide more accurate predictions of underflow concentrations and to determine the location of the sludge blanket under unusual conditions [24].…”

Section: Other Models For the Settling Unitmentioning

confidence: 99%

“…Well-collected data sets from batch tests are required to calibrate the empirical functions that are ubiquitous in settling unit models. Such tests are labour intensive and typically information poor [24,Section 2.2]. Wellcollected data sets from WWTPs are required for model validation and comparison.…”

Section: Other Models For the Settling Unitmentioning

confidence: 99%

“…Even when batch data is available, the observational data is limited, which means that it is difficult to find a unique set of model parameter values. The selection of initial guesses for parameters associated with biomass settleability and compressibility can be challenging due to insufficient knowledge as to what "typical" values might be [24,Section 2.3]. These problems have limited the practical applications of advanced settler models, such as the Bürger-Diehl model [23].…”

Section: Other Models For the Settling Unitmentioning

confidence: 99%

“…For example, the Bürger-Diehl model contains additional parameters associated with compressive setting. More recent settling unit models contain close to 10 parameters [24,Section 4]. Motivated by such concerns, the sensitivity of model predictions to both to the choice of settling unit models and the uncertainty in the values of settling unit parameters has been investigated [24,31].…”

Section: Other Models For the Settling Unitmentioning

confidence: 99%

“…The problem of parameter identifiability in the Bürger-Diehl model without dispersion was considered by Li and Stenstrom [24]. They investigated which settling unit parameters can be identified from which experimental configurations, the influence of the initial guess for the parameter values upon parameter identifiability and how differences in parameter estimates impact the uncertainty in the prediction of a model.…”

Section: Other Models For the Settling Unitmentioning

confidence: 99%

See 4 more Smart Citations

Mathematical Modelling of the Removal of Organic Micropollutants in the Activated Sludge Process: A Linear Biodegradation Model

Nelson¹,

Alqahtani²,

Hai³

2018

ANZIAM J.

View full text Add to dashboard Cite

Before wastewaters can be released into the environment, they must be treated to reduce the concentration of organic pollutants in the effluent stream. There is a growing concern as to whether wastewater treatment plants are able to effectively reduce the concentration of micropollutants that are also contained in their influent streams. We investigate the removal of micropollutants in treatment plants by analysing a model that includes biodegradation and sorption as the main mechanisms of micropollutant removal. For the latter a linear adsorption model is used in which adsorption only occurs onto particulates.The steady-state solutions of the model are found and their stability is determined as a function of the residence time. In the limit of infinite residence time, we show that the removal of biodegradable micropollutants is independent of the processes of adsorption and desorption. The limiting concentration can be decreased by increasing the concentration of growth-related macropollutants. Although, in principle, it is possible that the concentration of micropollutants is minimized at a finite value of the residence time, this was found not to be the case for the particular biodegradable micropollutants considered.For nonbiodegradable pollutants, we show that their removal is always optimized at a finite value of the residence time. For finite values of the residence time, we obtain a simple condition which identifies whether biodegradation is more or less efficient than adsorption as a removal mechanism. Surprisingly, we find that, for the micropollutants considered, adsorption is always more important than biodegradation, even when the micropollutant is classified as being highly biodegradable with low adsorption.

show abstract

Section: Other Models For the Settling Unitmentioning

confidence: 99%

Section: Other Models For the Settling Unitmentioning

confidence: 99%

Section: Other Models For the Settling Unitmentioning

confidence: 99%

Section: Other Models For the Settling Unitmentioning

confidence: 99%

Section: Other Models For the Settling Unitmentioning

confidence: 99%

See 3 more Smart Citations

Mathematical Modelling of the Removal of Organic Micropollutants in the Activated Sludge Process: A Linear Biodegradation Model

Nelson¹,

Alqahtani²,

Hai³

2018

ANZIAM J.

View full text Add to dashboard Cite

show abstract

Use of the Weibull model on sizing thickeners ‐ Part I: Sedimentation curve representation

et al. 2020

View full text Add to dashboard Cite

The present work aims to represent the sedimentation curve of different industrial pulps through the Weibull model PDF, which employs two parameters k and γ, dispensing the graphical methods to design thickeners and clarifiers, using exclusively mathematical equations. This provides greater accuracy and increases significantly the speed in sizing calculations. To ratify the use of the model, sedimentation curves of various types of pulps were generated in the laboratory, several types of curves were obtained through tests given in the literature and exhaustive comparison tests between the data obtained in the tests and those predicted by the model. The proposed model presented good data adjustment in relation to those obtained in several bibliographic references, presenting maximum error of 12%.

show abstract

Arbitrary polynomial chaos expansion for uncertainty analysis of the one-dimensional hindered-compression continuous settling model

Ping

2023

Journal of Water Process Engineering

View full text Add to dashboard Cite

Practical identifiability and uncertainty analysis of the one-dimensional hindered-compression continuous settling model

Cited by 10 publications

References 31 publications

Mathematical Modelling of the Removal of Organic Micropollutants in the Activated Sludge Process: A Linear Biodegradation Model

Mathematical Modelling of the Removal of Organic Micropollutants in the Activated Sludge Process: A Linear Biodegradation Model

Use of the Weibull model on sizing thickeners ‐ Part I: Sedimentation curve representation

Arbitrary polynomial chaos expansion for uncertainty analysis of the one-dimensional hindered-compression continuous settling model

Contact Info

Product

Resources

About