Concentration-driven models revisited: towards a unified framework to model settling tanks in water resource recovery facilities

Author:

Torfs Elena12,Martí M. Carmen3,Locatelli Florent4,Balemans Sophie2,Bürger Raimund3,Diehl Stefan5,Laurent Julien4,Vanrolleghem Peter A.1,François Pierre4,Nopens Ingmar2

Affiliation:

1. modelEAU, Département de génie civil et de génie des eaux, Université Laval, Québec, QC, Canada E-mail: elena.torfs.1@ulaval.ca

2. BIOMATH, Department of Mathematical Modelling, Statistics and Bioinformatics, Ghent University, Coupure links 653, Ghent B-9000, Belgium

3. CI2MA and Departamento de Ingeniería Matemática, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción, Casilla 160-C, Concepción, Chile

4. ICube, UMR 7357, ENGEES, CNRS, Université de Strasbourg, 2 rue Boussingault, Strasbourg 67000, France

5. Centre for Mathematical Sciences, Lund University, P.O. Box 118, Lund S-221 00, Sweden

Abstract

A new perspective on the modelling of settling behaviour in water resource recovery facilities is introduced. The ultimate goal is to describe in a unified way the processes taking place both in primary settling tanks (PSTs) and secondary settling tanks (SSTs) for a more detailed operation and control. First, experimental evidence is provided, pointing out distributed particle properties (such as size, shape, density, porosity, and flocculation state) as an important common source of distributed settling behaviour in different settling unit processes and throughout different settling regimes (discrete, hindered and compression settling). Subsequently, a unified model framework that considers several particle classes is proposed in order to describe distributions in settling behaviour as well as the effect of variations in particle properties on the settling process. The result is a set of partial differential equations (PDEs) that are valid from dilute concentrations, where they correspond to discrete settling, to concentrated suspensions, where they correspond to compression settling. Consequently, these PDEs model both PSTs and SSTs.

Publisher

IWA Publishing

Subject

Water Science and Technology,Environmental Engineering

Reference31 articles.

1. Amerlinck Y. 2015 Model refinements in view of wastewater treatment plant optimisation: improving the balance in sub-model detail. PhD Thesis, Ghent University, Belgium.

2. Modelling and characterisation of primary settlers in view of whole plant and resource recovery modelling;Bachis;Water Sci. Technol.,2015

3. Strongly degenerate parabolic-hyperbolic systems modeling polydisperse sedimentation with compression;Berres;SIAM J. Appl. Math.,2003

4. Linearly implicit IMEX Runge-Kutta methods for a class of degenerate convection-diffusion problems;Boscarino;SIAM J. Sci. Comput.,2015

5. A consistent modelling methodology for secondary settling tanks: a reliable numerical method;Bürger;Water Sci. Technol.,2013

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