Distributed parameter approach to the dynamics of complex biological processes

AIChE Journal

Volumn 45, Issue 10, 1999, Pages 2245-2268

  Lee, T T ^a,b   Wang, F Y ^a,b   Newell, R B ^a,b  

^a UNIVERSITY OF QUEENSLAND   (Australia)

^b INSTITUTE OF HIGH PERFORMANCE COMPUTING   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

BIOREACTORS; COMPUTER SIMULATION; DYNAMICS; ERRORS; MATHEMATICAL MODELS; NITROGEN REMOVAL; PHOSPHATES; PHOSPHORUS; WASTEWATER;

ACETATE; COMPLEX BIOLOGICAL PROCESSES; DISTRIBUTED PARAMETER APPROACH; PLANT MODEL MISMATCH; SECONDARY SETTLER MODEL;

ACTIVATED SLUDGE PROCESS;

ACETIC ACID; NITROGEN; PHOSPHORUS;

BIOLOGICAL TREATMENT; MUNICIPAL WASTE; NITROGEN; PHOSPHORUS; WASTEWATER;

ARTICLE; CHEMICAL REACTION; MOLECULAR DYNAMICS; MOLECULAR MODEL; SIMULATION; SLUDGE; VALIDATION PROCESS; WASTE WATER;

EID: 0033212737     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690451022     Document Type: Article

References (44)

1. Ante, A., H. U. Beshce, and H. Voss, "A Mathematical Model for Enhanced Biological Phosphorus Removal," Water Sci. Tech., 30, 193 (1994).
2. Arceivala, S. J., Wastewater Treatment and Disposal, Dekker, New York (1981).
3. Barker, P. S., and P. L. Dold, "Denitrification Behaviour in Biological Excess Phosphorus Removal Activated Sludge Systems," Water Res., 30, 769 (1996).
4. Barker, P. S., and P. L. Dold, "General Model for Biological Nutrient Removal Activated Sludge Systems: Model Presentation," Water Environ. Res., 69, 969 (1977a).
5. Barker, P. S., and P. L. Dold, "General Model for Biological Nutrient Removal Activated Sludge Systems: Model Application," Water Environ. Res., 69, 985 (1977b).
6. Cech, J. S., P. Hartman, and J. Wanner, "Competition Between PolyP and Non-PolyP Bacteria in an Enhanced Phosphate Removal System," Water Environ. Res., 65, 690 (1993).
7. Cech, J. S., and P. Hartman, "Competition Between Polyphosphate and Polysaccharide Accumulating Bacteria in Enhanced Biological Phosphate Removal System," Water Res., 27, 1219 (1993).
8. Choi, E. S., and H. S. Lee, "Biological Nutrient Removal Characteristics of Low Strength Municipal Wastewater," Korean J. Chem. Eng., 13, 364 (1996).
9. Coe, H. S., and G. H. Clevenger, "Methods for Determining the Capacities of Slime-Settling Tanks," Trans. AIME, 55, 356 (1916).
10. Danckwerts, P. V., "Continuous Flow Systems, Distributions of Residence Times," Chem. Eng. Sci., 2, 1 (1953).
11. Ekama, G. A., and M. C. Wentzel, "Difficulties and Development in Biological Nutrient Removal Technology and Modelling," Proc. BNR3 Conf. Biological Nutrient Removal, IAWQ/AWWA, Brisbane, Australia, p. 3 (1997).
12. Greenberg, A. E., R. R. Trussell, and L. S. Clesceri, eds., Standard Methods for the Examination of Water and Wastewater, 16th ed., American Public Health Association (APHA) (1985).
13. Grijsperdt, K., P. Vanrolleghem, and W. Verstraete, "Selection of One Dimensional Sedimentation Models for On-line Use," Water Sci. Tech., 31, 193 (1995).
14. Hamilton, J., R. Jain, P. Antoniou, S. A. Svoronos, B. Koopman, and G. Lyberatos, "Modelling and Pilot-Scale Experimental Verification for Predenitrification Process," J. Environ. Eng., 118, 38 (1992).
15. Hartel, L., and H. J. Popel, "A Dynamic Secondary Clarifier Model Including Processes of Sludge Thickening." Water Sci. Tech., 25, 267 (1992).
16. Henze, M., "Characterization of Wastewater for Modelling of Activated Sludge Processes," Water Sci. Tech., 25, 1 (1992).
17. Henze, M., C. P. L. Grady, W. Gujer, G. R. van Marais, and T. Matsuo, "Activated Sludge Model No. 1," IAWPRC Sci. Tech. Rep. No. 1, IAWPRC, London (1987).
18. Henze, M., W. Gujer, T. Mino, T. Matsuo, M. C. Wentzel, and G. R. van Marais, "Activated Sludge Model No. 2," IAWQ Sci. Tech. Rep. No. 2, IAWQ, London (1994).
19. Jeppsson, U., and S. Diehl, "An Evaluation of a Dynamic Model of the Secondary Clarifier," Proc. Water Quality. Int. '96, IAWQ 18th Biennial Int. Conf., Singapore (1996).
20. Johannsson, P., "SIPHOR: A Kinetic Model for Simulation of Biological Phosphate Removal," PhD Diss., Lund University, Lund, Sweden (1994).
21. Koehne, M., K. Hoen, and M. Schuhen, "Modelling and Simulation of Final Clarifiers in Wastewater Treatment Plants," Math. Comp. Sim., 39, 609 (1995).
22. Kynch, G. J., "A Theory of Sedimentation," Trans. Faraday Soc., 48, 166 (1952).
23. Lee, T. T., "Distributed Parameter Modelling and Advanced Control Strategies Applied to the Activated Sludge Process," PhD Thesis, The Univ. of Queensland, Brisbane, Australia (1998).
24. Lee, T. T., F. Y. Wang, and R. B. Newell, "On the Evaluation of the Exit Boundary Condition of a Cyclic Bioreactor System Using the Axial Dispersion Theory," Chem. Eng. Tech., 21, 901 (1998).
25. Lee, T. T., F. Y. Wang, and R. B. Newell, "Dynamic Modelling and Simulation of Activated Sludge Process Using Orthogonal Collocation Approach," Water Res., 33(1), 73 (1999a).
26. Lee, T. T., F. Y. Wang, and R. B. Newell, "Dynamic Simulation of Activated Sludge Process Using Orthogonal Collocation on Finite Element," Comput. Chem. Eng. (1999b).
27. Levenspiel, O., Chemical Reaction Engineering, Wiley, New York (1972).
28. Levenspiel, O., and W. K. Smith, "Notes on the Diffusion-Type Model for the Longitudinal Mixing of Fluids in Flow," Chem. Eng. Sci., 6, 227 (1957).
29. Newell, R. B., and I. T. Cameron, NIMBUS Users Manual, Computer-Aided Process Engineering Centre, Dept. of Chemical Engineering, The Univ. of Queensland, Brisbane, Australia (1991).
30. Olsson, G., and J. F. Andrews, "The Dissolved Oxygen Profile - A Valuable Tool for Control of the Activated Sludge Process," Water Res., 12, 985 (1978).
31. Olsson, G., and R. B. Newell, Wastewater Treatment Systems: Modelling, Diagnosis and Control, IWA Publishing, London (1999).
32. Otterpohl, R., and M. Freund, Dynamic Models for Clarifiers of Activated Sludge Plants with Dry and Wet Weather Flows," Water Sci. Tech., 26(5-6), 1391 (1992).
33. Pflanz, P., "Performance of (Activated Sludge) Secondary Sedimentation Basins," Advances in Water Pollution Research, S. H. Jenkins, ed., Proc. Int. Conf., Prague, p. 21 and 569 (1969).
34. Reklaitis, G. V., A. Ravindran, and K. M. Ragsdell, Engineering Optimization: Methods and Applications, Wiley, New York (1983).
35. Sen, D., and C. W. Randall, "General Activated Sludge Model for Biological Nitrogen and Excess Phosphorus Removal," Design and Retrofit of Wastewater Treatment Plants for Biological Nutrient Removal, C. W. Randall, J. L. Banard, and H. D. Stensel, eds., Technomic, Lancaster (1992).
36. Smolders, G. J. F., J. van der Meij, M. C. M. van Loosdrecth, and J. J. Heijnen, "A Structured Metabolic Model for Anaerobic and Aerobic Stoichiometry and Kinetics of the Biological Phosphorus Removal Process," Biotech. Bioeng., 47, 277 (1995).
37. Takacs, I., G. G. Patry, and D. Nolasco, "A Dynamic Model of the Clarification-Thickening Process," Water Res., 25, 1263 (1991).
38. Vesilind, P. A., "Design of Prototype Thickener from Batch Settling Tests," Water Sewage Works, 115, 302 (1968).
39. Villadsen, J., and M. L. Michelsen, Solution of Differential Equation Models by Polynomial Approximation, Prentice-Hall, Englewood Cliffs, NJ (1978).
40. Vitasovic, Z. Z., "Continuous Settler Operation: Dynamic Model," Dynamic Modelling and Expert System in Wastewater Engineering, G. G. Patry and D. Chapman, eds., Lewis, Chelsea, MI, p. 59 (1989).
41. Wachtmeister, A., T. Kuba, M. C. M. Van Loosdrecht, and J. J. Heijnen, "A Sludge Characterization Assay for Aerobic and Denitrifying Phosphorus Removing Sludge," Water Res., 31, 471 (1997).
42. Watts, R. W., S. A. Svoronos, and B. Koopman, "One-Dimensional Modeling of Secondary Clarifiers Using a Concentration and Feed Velocity-Dependent Dispersion Coefficient," Water Res., 30, 2112 (1996).
43. WRC, "Theory, Design and Operation of Nutrient Removal Activated Sludge Processes," Water Research Commission, Pretoria, South Africa (1984).
44. Zhou, J. L., and A. L. Tits, "Nonmonotone Line Search for Minimax Problems," J. Opt. Theory and Appl., 76(3), 455 (1993).