A biochemical multi-species quality model of a drinking water distribution system for simulation and design

Arminski, K. ; Zubowicz, T. ; Brdys, M. A.

International Journal of Applied Mathematics and Computer Science, Tome 23 (2013) no. 3, pp. 571-585.

Résumé

Drinking Water Distribution Systems (DWDSs) play a key role in sustainable development of modern society. They are classified as critical infrastructure systems. This imposes a large set of highly demanding requirements on the DWDS operation and requires dedicated algorithms for on-line monitoring and control to tackle related problems. Requirements on DWDS availability restrict the usability of the real plant in the design phase. Thus, a proper model is crucial. Within this paper a DWDS multi-species quality model for simulation and design is derived. The model is composed of multiple highly inter-connected modules which are introduced to represent chemical and biological species and (above all) their interactions. The chemical part includes the processes of chloramine decay with additional bromine catalysis and reaction with nitrogen compounds. The biological part consists of both heterotrophic and chemo-autotrophic bacteria species. The heterotrophic bacteria are assumed to consume assimilable organic carbon. Autotrophs are ammonia oxidizing bacteria and nitrite oxidizing bacteria species which are responsible for nitrification processes. Moreover, Disinfection By-Products (DBPs) are also considered. Two numerical examples illustrate the derived model’s behaviour in normal and disturbance operational states.

Détail

Keywords: multi species, chloramine, quality, drinking water, distribution system, critical infrastructure system
Mots-clés : chloramina, jakość, woda pitna, system dystrybucji, infrastruktura krytyczna

Bibliographie

[1] Antonious, P. (1989). Determination of Biokinetic Coefficients for Nitrification in the Activated Sludge Process, Master’s thesis, University of Florida, Gainesville, FL.

[2] Arminski, K. and Zubowicz, T. (2011). Multispecies quality model for drinking water distribution system. InSIK technical report v.2.0., Technical report, Gdańsk University of Technology, Gdańsk.

[3] Bitton, G. (1998). Formula Handbook for Environmental Engineers and Scientists, John Wiley and Sons, New York, NY.

[4] Bousher, A., Brimblecombe, P. and Midgley, D. (1986). Rate of hypobromite formation in chlorinated seawater, Water Research 20(7): 865–870.

[5] Brdys, M. (2010). Intelligent monitoring and control for critical infrastructure systems and application to integrated wastewater treatment systems, 12th IFAC Symposium on Large Scale Systems: Theory and Applications, Lille, France, Vol. 9, pp. 2–12, DOI: 10.3182/20100712-3-FR-2020.00003.

[6] Brdys, M. and Ulanicki, B. (1994). Operational Control of Water Systems: Structures, Algorithms and Applications, Prentice Hall Int, Upper Saddle River, NJ.

[7] Bull, R.J., Reckhowb, D.A., Li, X., Humpaged, A.R., Joll, C. and Hrudeyc, S.E. (2011). Potential carcinogenic hazards of non-regulated disinfection by-products: Haloquinones, halo-cyclopentene and cyclohexene derivatives, n-halamines, halonitriles, and heterocyclic amines, Toxicology 286(1): 1–19, DOI:10.1016/j.tox.2011.05.004.

[8] Chowdhury, S., Champagne, P. and McLellan, P.J. (2009). Models for predicting disinfection byproduct (DBP) formation in drinking waters: A chronological review, Science of the Total Environment 407(14): 4189–4206, DOI:10.1016/j.scitotenv.2009.04.006.

[9] Clark, R. M., and Sivaganesan, M. (2002). Predicting chlorine residuals in drinking water: Second order model, Journal of Water Resources Planning and Management 128(2): 152–151.

[10] Davis, M. and Robert, J.D. (2003). Fundamentals of Chemical Reaction Engineering, McGraw-Hill, New York, NY.

[11] Deborae, M. and von Guten, U. (2008). Reactions of chlorine with inorganic and organic compounds during water treatment kintetics and mechanisms: A critical review, Water Research 42(1–2): 13–51, DOI:10.1016/j.watres.2007.07.025.

[12] Digiano, F. and Zhang, W. (2008). Uncertainty analysis in a mechanistic model of bacterial regrowth in distribution system, Environmental Science Technology 38(22): 5925–5931, DOI:10.1021/es049745l.

[13] Duirk, S., Gombert, B., Choi, J. and L., V.R. (2002). Monochloramine loss in the presence of humic acid, Journal of Environmental Monitoring 4(1): 85–89, DOI: 10.1039/b106047n.

[14] EU Cost Action IC0806-IntelliCIS (2008). Memorandum of Understanding, 7th Framework Program, http://www.intellicis.eu.

[15] EU Council Directive (1998). Council Directive 98/83/EC of 3 November 1998 on the Quality of Water Intended for Human Consumption, http://eur-lex.europa.eu.

[16] Frateur, I., Deslouis, C., Kiene, L., Levi, Y. and Tribollet, B. (1999). Free chlorine consumption induced by cast iron corrosion in drinking water distribution systems, Water Research 33(8): 1781–1790.

[17] Gazda, M. and Margerum, D.W. (1994). Reactions of monochloramine with br2, br-3, hobr, and obr-: Formation of bromochloramines, Inorganic Chemistry 25(19): 118–123.

[18] Gray, J.E.T., Margerum, D.W. and Huffman, R.P. (1978). Chloramine equilibria and the kinetics of disproportionation in aqueous solution, in F.E. Brinckman and J.M. Bellama (Eds.), Organometals and Organometalloids: Occurrence and Fate in the Environment, ACS Books, Washington, DC, pp. 264–277.

[19] Hammes, F., Vital, M., Egli, T., Rubulis, J. and Juhna, T. (2007). Modeling planktonic and biofilm growth of a monoculture (p. fluorescens) in drinking water, TECHNEAU Project Deliverable 5.5.9,http://www.techneau.org/fileadmin/files/Publications/Publications/Deliverables/D5.5.9.pdf.

[20] Hand, V.C. and Margerum, D.W. (1983). Kinetics and mechanisms of the decomposition of dichloramine in aqueous solution, Inorganic Chemistry 22(10): 1449–1456, DOI: 10.1021/ic00152a007.

[21] Helbling, D. and VanBriesen, J. (2009). Modeling residual chlorine response to a microbial contamination event in drinking water distribution systems, Journal of Environmental Engineering 135(10): 918–927, DOI:10.1061/(ASCE)EE.1943-7870.0000080.

[22] Hong, Y., Liu, S. and Karanfil, T. (2008). Understanding DBP formation during chloramination, Florida Water Resource Journal 60(4): 51–53.

[23] Hrudey, S.E. (2009). Chlorination disinfection by-products, public health risk tradeoffs and me, Water Research 43(8): 2057–2092, DOI:10.1016/j.watres.2009.02.011.

[24] Jafvert, C.T. and Valentine, R.L. (1987). Dichloramine decomposition in the presence of excess ammonia, Water Research 21(8): 967–973.

[25] Jegatheesan, V., Kastl, G., Fisher, I., Chandy, J. and Angles, M. (2003). Water quality modelling for drinking water distribution systems, International Congress on Modelling and Simulation, Townsville, Australia, pp. 332–337.

[26] Jegatheesan, V., Kastl, G., Fisher, I., Chandy, J. and Angles, M. (2004). Modeling bacterial growth in drinking water: Effect of nutrients, Journal of AWWA (American Water Works Association) 96(5): 129–141.

[27] Johnson, D.W. and Margerum, D.W. (1991). Non-metal redox kinetics: A reexamination of the mechanism of the reaction between hypochlorite and nitrite ions, Inorganic Chemistry 30(25): 4845–4851.

[28] Kohpaei, A. and Sathasivan, A. (2011). Chlorine decay prediction in bulk water using the parallel second order model: An analytical solution development, Chemical Engineering Journal 171(1): 232–241, DOI:10.1016/j.cej.2011.03.034.

[29] Leao, S.F. (1981). Kinetics of Combined Chlorine: Reaction of Substitution and Redox, Ph.D. thesis, University of California, Berkeley, CA.

[30] LeChevallier, M., Welch, N. and Smith, D.B. (1996). Full-scale studies of factors related to coliform regrowth in drinking water, Applied and Environmental Microbiology 62(7): 2201–2211.

[31] Liu:2005a Liu, S., Taylor, J., Randall, A.A. and Dietz, J. (2005a). Nitrification modeling in chloraminated distribution systems, American Water Works Association 97(10): 98–108.

[32] Liu, S., Taylor, J.S. and Webb, D. (2005b). Water quality profiles during nitrification in a pilot distribution system study, Water Supply: Research and Technology—Aqua 54(3): 133–145.

[33] Liu, W. and Qi, S. (2010). Modeling and verifying chlorine decay and chloroacetic acid formation in drinking water chlorination, Frontiers of Environmental Science Engineering in China 4(1): 65–72, DOI:10.1007/s11783-010-0010-y.

[34] Lu C., Biswas P., Clark, R.M. (1995). Simultaneous transport of substrates, disinfectants and microorganisms in water pipes, Water Research 29(3): 881–894.

[35] Łangowski, R. and Brdys, M.A. (2007). Monitoring of chlorine concentration in drinking water distribution systems using an interval estimator, International Journal of Applied Mathematics and Computer Science 17(2): 199–216. DOI: 10.2478/v10006-007-0019-y.

[36] Margerum, D.W., Gray, E.T. and Huffman, R.P. (1978). Chlorination and the formation of N-chloro compounds in water treatment, in F.E. Brinckman and J.M. Bellama (Eds.), Organometals and Organometalloids: Occurrence and Fate in the Environment, ACS Books, Washington, DC, pp. 278–291.

[37] Margerum, D.W., Schurter, L.M., Hobson, J. and Moore, E.E. (1994). Water chlorination chemistry: Nonmetal redox kinetics of chloramine and nitrite ion, Environmental Science Technology 28(2): 331–337.

[38] McKinney, R.E. (2004). Environmental Pollution Control Microbiology, Marcel Beckher, New York, NY.

[39] Metcalf, E. and Tchobanoglous, G. (1978). Wastewater Engineering Treatment Disposal Reuse, McGraw-Hill, Upper Saddle River, NJ.

[40] Morris, J.C. and Isaac, R.A. (1981). A critical review of kinetic and thermodynamic constants for the aqueous chlorine-ammonia system, in R.L. Jolley, W.A. Brungs, J.A. Cotruvo, R.B. Cumming, J.S. Mattice, and V.A. Jacobs (Eds.), Water Chlorination: Environmental Impact and Health Effects, Ann Arbor Science, Ann Arbor, MI, pp. 49–62.

[41] Muellner, M.G., Wagner, E.D., McCalla, K., Richardson, S.D., Woo, Y.T. and Plewa, M.J. (2007). Haloacetonitriles vs. regulated haloacetic acids: Are nitrogen-containing DBPs more toxic?, Environmental Science and Technology 41(2): 645–651.

[42] Myszor, D. and Cyran, K. (2013). Mathematical modeling of molecule evolution in protocells, International Journal of Applied Mathematics of Computer Science 23(1): 213–229, DOI: 10.2478/amcs-2013-0017.

[43] Nokes, C., Fenton, E. and Randal, C. (1999). Modelling the formation of brominated trihalomatanes in chlorinated drinking waters, Water Research 33(17): 3557–3568.

[44] Nowicki, A., Grochowski, M. and Duzinkiewicz, K. (2012). Data-driven models for fault detection using kernel PCA: A water distribution system case study, International Journal of Applied Mathematics of Computer Science 22(4): 939–949, DOI: 10.2478/v10006-012-0070-1.

[45] Poduska, R.A. and Andrews, F.J. (1974). Dynamics of nitrification in the activated sludge process, 29th Industrial Waste Conference, Lafayette, IN, USA, pp. 2599–2619.

[46] Pope, P.G. (2006). Haloacetic Acid Formation During Chloramination: Role of Environmental Conditions, Kinetics, and Haloamine Chemistry, Ph.D. thesis, University of Texas at Austin, TX.

[47] Rossman, L.A. (2000). Epanet 2 users manual, Risk Reduction Engineering Laboratory, US EPA, Cincinnati, OH.

[48] Rossman, L.A., Clark, R.M. and Grayman, W.M. (1994). Modeling chlorine residuals in drinking-water distribution-systems, Journal of Environmental Engineering 120(4): 803–820.

[49] Sadiq, R. and Rodriguez, R.J. (2004). Disinfection by-products (DBPs) in drinking water and predictive models for their occurrence: A review, Science of the Total Environment 321(1–3): 21–46.

[50] Shang, F. and Rossman, L. (2011). Epanet multi-specie extention user‘s manual, EPA/600/S-07/021, National Risk Management Research Laboratory, National Homeland Security Research Center Office of Research and Development, US Environmental Protection Agency, Cincinnati, OH.

[51] Shang, F., Uber, J. and Rossman, L. (2008). Modeling reaction and transport of multiple species in water distribution systems, Environmental Science Technology 42(3): 808–814, DOI: 10.1021/es072011z.

[52] Snoeyink, V.L. and Jenkins, D. (1980). Water Chemistry, John Wiley and Sons, New York, NY.

[53] Trofe, T.W., Inman, J.G.W. and Johnson, J.D. (1980). Kinetics of monochloramine decomposition in the presence of bromide, Environmental Science Technology 14(5): 544–549, DOI: 10.1021/es60165a008.

[54] van der Kooij, D., Vrouwenvelder, H. and Veenendaal, H. (1995). Kintetic aspects of biofilm formation on surfaces exposed to drinking water, Water Science and Technology 32(8): 61–65, DOI:10.1016/0273-1223(96)00008-X.

[55] Vikesland, P.J., Ozekin, K. and Valentine, R. (2001). Monochloramine decay in model and distribution system waters, Water Research 35(7): 1766–1776.

[56] Williamson, K. and McCarty, P. (1976). Verification studies of the biofilm model for bacterial substrate utilization, Journal of Water Pollution Control Federation 48(2): 1281–289.

[57] World Health Organisation (2005). Guidelines for drinking water quality. Dichloroacetic acid in drinking-water, Report No. WHO/SDE/WSH/05.08/121.

[58] Zhang,W.,Miller, C. and DiGiano, F. (2004). Bacterial regrowth model for water distribution systems incorporating alternating split-operator solution technique, Journal of Environmental Engineering 130(3): 932–941, DOI: 10.1060/(ASCE)0733-39372(2004)130:9(932).