On constitutive functions for hindered settling velocity in 1-D settler models: Selection of appropriate model structure

被引:26
作者
Torfs, Elena [1 ]
Balemans, Sophie [1 ]
Locatelli, Florent [2 ]
Diehl, Stefan [3 ]
Buerger, Raimund [4 ,5 ]
Laurent, Julien [2 ]
Francois, Pierre [2 ]
Nopens, Ingmar [1 ]
机构
[1] Univ Ghent, Fac Biosci Engn, Dept Math Modelling Stat & Bioinformat, BIOMATH, Coupure Links 653, B-9000 Ghent, Belgium
[2] Univ Strasbourg, Dept Mecan, ICube, F-67000 Strasbourg, France
[3] Lund Univ, Ctr Math Sci, POB 118, S-22100 Lund, Sweden
[4] Univ Concepcion, CI2MA, Casilla 160-C, Concepcion, Chile
[5] Univ Concepcion, Fac Ciencias Fis & Matemat, Dept Ingn Matemat, Casilla 160-C, Concepcion, Chile
关键词
Secondary clarifier; 1-D modelling; Calibration; Compression settling; Batch settling test; DYNAMIC-MODEL; SECONDARY; CONSOLIDATION; SIMULATION; TANKS;
D O I
10.1016/j.watres.2016.11.067
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
Advanced 1-D models for Secondary Settling Tanks (SSTs) explicitly account for several phenomena that influence the settling process (such as hindered settling and compression settling). For each of these phenomena a valid mathematical expression needs to be selected and its parameters calibrated to obtain a model that can be used for operation and control. This is, however, a challenging task as these phenomena may occur simultaneously. Therefore, the presented work evaluates several available expressions for hindered settling based on long-term batch settling data. Specific attention is paid to the behaviour of these hindered settling functions in the compression region in order to evaluate how the modelling of sludge compression is influenced by the choice of a certain hindered settling function. The analysis shows that the exponential hindered settling forms, which are most commonly used in traditional SST models, not only account for hindered settling but partly lump other phenomena (compression) as well. This makes them unsuitable for advanced 1-D models that explicitly include each phenomenon in a modular way. A power-law function is shown to be more appropriate to describe the hindered settling velocity in advanced 1-D SST models. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:38 / 47
页数:10
相关论文
共 38 条
[1]  
[Anonymous], [No title captured]
[2]   Statistical tools for optimal dynamic model building [J].
Asprey, SP ;
Macchietto, S .
COMPUTERS & CHEMICAL ENGINEERING, 2000, 24 (2-7) :1261-1267
[3]   The characterisation of slurry dewatering [J].
Aziz, AAA ;
de Kretser, RG ;
Dixon, DR ;
Scales, PJ .
WATER SCIENCE AND TECHNOLOGY, 2000, 41 (08) :9-16
[4]   A consistent modelling methodology for secondary settling tanks: a reliable numerical method [J].
Buerger, Raimund ;
Diehl, Stefan ;
Faras, Sebastian ;
Nopens, Ingmar ;
Torfs, Elena .
WATER SCIENCE AND TECHNOLOGY, 2013, 68 (01) :192-208
[5]   On reliable and unreliable numerical methods for the simulation of secondary settling tanks in wastewater treatment [J].
Buerger, Raimund ;
Diehl, Stefan ;
Faras, Sebastian ;
Nopens, Ingmar .
COMPUTERS & CHEMICAL ENGINEERING, 2012, 41 :93-105
[6]   A consistent modelling methodology for secondary settling tanks in wastewater treatment [J].
Buerger, Raimund ;
Diehl, Stefan ;
Nopens, Ingmar .
WATER RESEARCH, 2011, 45 (06) :2247-2260
[7]  
Bürger R, 2000, Z ANGEW MATH MECH, V80, P79
[8]   Phenomenological foundation and mathematical theory of sedimentation-consolidation processes [J].
Bürger, R .
CHEMICAL ENGINEERING JOURNAL, 2000, 80 (1-3) :177-188
[9]   Multimodel inference - understanding AIC and BIC in model selection [J].
Burnham, KP ;
Anderson, DR .
SOCIOLOGICAL METHODS & RESEARCH, 2004, 33 (02) :261-304
[10]   THE CONSOLIDATION OF CONCENTRATED SUSPENSIONS .1. THE THEORY OF SEDIMENTATION [J].
BUSCALL, R ;
WHITE, LR .
JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS I, 1987, 83 :873-891