Inferring the Stochasticity Associated with Modeling the Biological Stability of Drinking Water within Distribution Networks
Publication: World Environmental and Water Resources Congress 2023
ABSTRACT
Post-treatment drinking water is far from sterile, so microbial regrowth occurs, and the distribution pipes behave like a dynamic ecological niche for microbes. Unwarranted microbial regrowth within distribution pipes can lead to quality issues and health concerns. The application of computer-based tools adept at mechanistically simulating the dynamics of heterotrophic bacteria within distribution pipes is a practical approach to safeguarding biological stability during drinking water distribution systems (DWDS) operation. The imperfect understanding of most of the stochastic processes related to the heterotrophic bacterial dynamics and the natural randomness of the system constraints make mechanistic modeling complicated. Within the context of the current state of the art, the questions on the level of detailing in describing the processes within the pipe domain for mechanistically describing the microbiological quality with a certain acceptable level of accuracy are still unanswered. In this regard, we attempt to answer these questions and overcome the limitations of the state of the art to develop a practically relevant modeling tool for DWDS management. The specific objectives of this study are to (1) develop stochastic mechanistic models considering the three-level uncertainties—model parameters (kinetic rate constants), model coefficients (dispersion coefficient), and state variables (source quality characteristics); (2) understand the level of complexity that needs to be integrated into modeling to explain the water quality dynamics correctly; and (3) present the applicability of the developed models for simulating microbiological quality fluctuations in a real-world DWDS.
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REFERENCES
Abhijith, G. R., L. Kadinski, and A. Ostfeld. 2021. “Modeling Bacterial Regrowth and Trihalomethane Formation in Water Distribution Systems.” Water (Switzerland), 13: 463.
Abhijith, G. R., and S. Mohan. 2021. “Cellular Automata-based Mechanistic Model for Analyzing Microbial Regrowth and Trihalomethanes Formation in Water Distribution Systems.” J. Environ. Eng., 147 (1): 04020145. https://doi.org/10.1061/(ASCE)EE.1943-7870.0001833.
Abhijith, G. R., and A. Ostfeld. 2022. “Examining the Longitudinal Dispersion of Solutes Inside Water Distribution Systems.” J. Water Resour. Plan. Manag., 148 (6): 04022022. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001562.
Abokifa, A. A., Y. J. Yang, C. S. Lo, and P. Biswas. 2016a. “Investigating the role of biofilms in trihalomethane formation in water distribution systems with a multicomponent model.” Water Res., 104: 208–219. Elsevier Ltd. https://doi.org/10.1016/j.watres.2016.08.006.
Abokifa, A. A., Y. J. Yang, C. S. Lo, and P. Biswas. 2016b. “Water quality modeling in the dead end sections of drinking water distribution networks.” Water Res., 89: 107–117. Elsevier Ltd. https://doi.org/10.1016/j.watres.2015.11.025.
Albert, M., W. Hijnen, J. Van Vossen, and M. Blokker. 2017. “Modelling Bacterial Biomass in a Non-chlorinated Drinking Water Distribution System.” Procedia Eng., 186 (0): 127–134. The Author(s). https://doi.org/10.1016/j.proeng.2017.03.218.
Aldama, A. A., V. G. Tzatchkov, and F. I. Arreguin. 1998. “The numerical Green’s function technique for boundary value problems in networks.” Trans. Ecol. Environ., 26: 121–130.
Aris, R. 1956. “On the dispersion of a solute in a fluid flowing through a tube.” Proc. R. Soc. Lond. A. Math. Phys. Sci., 235 (1200): 67–77. https://doi.org/10.1016/S1874-5970(99)80009-5.
ASTDR (Agency for Toxic Substances and Disease Registry). 2018. Toxicological Profile for Per- and Polyfluoroalkyl Substances: Draft for public comment. Atlanta, Georgia, USA.
Basha, H. A., and L. N. Malaeb. 2007. “Eulerian-Lagrangain method for constituent transport in water distribution networks.” J. Hydraul. Eng., 133 (10): 1155–1166. https://doi.org/10.1061/(ASCE)0733-9429(2007)133.
Boe-Hansen, R., H.-J. Albrechtsen, E. Arvin, and C. Jørgensen. 2002. “Bulk water phase and biofilm growth in drinking water at low nutrient conditions.” Water Res., 36 (18): 4477–4486. https://doi.org/10.1016/S0043-1354(02)00191-4.
Bois, F. Y., T. Fahmy, J. C. Block, and D. Gatel. 1997. “Dynamic modeling of bacteria in a pilot drinking-water distribution system.” Water Res., 31 (12): 3146–3156. https://doi.org/10.1016/S0043-1354(97)00178-4.
Camper, A. K. 1996. Factors limiting microbial growth in distribution systems: Laboratory and pilot-scale experiments. AWWA Research Foundation and AWWA.
Chen, G., T. Long, and Y. Bai. 2017. “Water quality model with axial dispersion solved by Eulerian-Lagrangian operator-splitting method in water distribution system.” Water Sci. Technol. Water Supply, 18 (3): 831–842. https://doi.org/10.2166/ws.2017.143.
DiGiano, F. A., and W. Zhang. 2004. “Uncertainty Analysis in a Mechanistic Model of Bacterial Regrowth in Distribution Systems.” Environ. Sci. Technol., 38 (22): 5925–5931. https://doi.org/10.1021/es049745l.
Dukan, S., Y. Levi, P. Piriou, F. Guyon, and P. Villon. 1996. “Dynamic modelling of bacterial growth in drinking water networks.” Water Res., 30 (9): 1991–2002.
El-Chakhtoura, J., P. E. Saikaly, M. C. M. Van Loosdrecht, and J. S. Vrouwenvelder. 2018. “Impact of distribution and network flushing on the drinking water microbiome.” Front. Microbiol., 9 (SEP): 1–13. https://doi.org/10.3389/fmicb.2018.02205.
Fish, K. E., and J. B. Boxall. 2018. “Biofilm microbiome (re)growth dynamics in drinking water distribution systems are impacted by chlorine concentration.” Front. Microbiol., 9 (OCT): 1–21. https://doi.org/10.3389/fmicb.2018.02519.
Fryar, C. D., M. D. Carroll, Q. Gu, J. Afful, and C. L. Ogdeb. 2021. “Anthropometric Reference Data for Children and Adults: United States, 2015–2018.” Natl. Cent. Heal. Stat. Vital Heal. Stat, 3 (46): 1–44. Washington, DC.
Gomez-Alvarez, V., S. Pfaller, J. G. Pressman, D. G. Wahman, and R. P. Revetta. 2016. “Resilience of microbial communities in a simulated drinking water distribution system subjected to disturbances: Role of conditionally rare taxa and potential implications for antibiotic-resistant bacteria.” Environ. Sci. Water Res. Technol., 2 (4): 645–657. Royal Society of Chemistry. https://doi.org/10.1039/c6ew00053c.
Grandjean, A. C. 2005. “Water requirements, impinging factors and recommended intakes.” Nutr. Drink. Water, 25–40. Geneva: World Health Organization.
Hart, J. R., I. Guymer, F. Sonnenwald, and V. R. Stovin. 2016. “Residence Time Distributions for Turbulent, Critical, and Laminar Pipe Flow.” J. Hydraul. Eng., 142 (9): 04016024. https://doi.org/10.1061/(ASCE)HY.1943-7900.0001146.
Horn, H., H. Reiff, and E. Morgenroth. 2003. “Simulation of growth and detachment in biofilm systems under defined hydrodynamic conditions.” Biotechnol. Bioeng., 81 (5): 607–617. https://doi.org/10.1002/bit.10503.
Howden, L. M., and J. A. Meyer. 2011. Age and Sex Composition : 2010. U. S. Census Bur. Washington, DC.
Jegatheesan, V., G. Kastl, I. Fisher, J. Chandy, and M. Angles. 2004. “Modeling bacterial growth in drinking water: effect of nutrients.” J. Am. Water Work. Assoc., 96 (5): 129–141.
Kiéné, L., W. Lu, and Y. Lévi. 1998. “Relative importance of the phenomena responsible for chlorine decay in drinking water distribution systems.” Water Sci. Technol., 38 (6 pt 5): 219–227. https://doi.org/10.1016/S0273-1223(98)00583-6.
Kroll, P., K. Eilers, J. Fricke, and C. Herwig. 2017. “Impact of cell lysis on the description of cell growth and death in cell culture.” Eng. Life Sci., 17 (4): 440–447. https://doi.org/10.1002/elsc.201600088.
Lee, Y. 2004. Mass dispersion in intermittent laminar flow. PhD Diss. Univ. Cincinnati, Cincinnati, Ohio, USA.
Liu, G., Y. Zhang, X. Liu, F. Hammes, W. T. Liu, G. Medema, P. Wessels, and W. Van Der Meer. 2020. “360-Degree Distribution of Biofilm Quantity and Community in an Operational Unchlorinated Drinking Water Distribution Pipe.” Environ. Sci. Technol., 54 (9): 5619–5628. https://doi.org/10.1021/acs.est.9b06603.
Liu, L., Y. Qu, J. Huang, and R. Weber. 2021. “Per- and polyfluoroalkyl substances (PFASs) in Chinese drinking water: risk assessment and geographical distribution.” Environ. Sci. Eur., 33 (1). Springer Berlin Heidelberg. https://doi.org/10.1186/s12302-020-00425-3.
Liu, L., X. Xing, C. Hu, and H. Wang. 2019. “One-year survey of opportunistic premise plumbing pathogens and free-living amoebae in the tap-water of one northern city of China.” J. Environ. Sci., 77: 20–31. Elsevier B.V. https://doi.org/10.1016/j.jes.2018.04.020.
Loucks, D. P., and E. Van Beek. 2005. Water Resources Systems Planning and Management: An Introduction to Methods, Models And Applications. Paris: UNESCO.
Lu, C., P. Biswas, and R. M. Clark. 1995. “Simultaneous transport of substrates, disinfectants and microorganisms in water pipes.” Water Res., 29 (3): 881–894. https://doi.org/10.1016/0043-1354(94)00202-I.
Monteiro, L., J. Carneiro, and D. I. C. Covas. 2020. “Modelling chlorine wall decay in a full-scale water supply system.” Urban Water J., 17 (8): 754–762. https://doi.org/10.1080/1573062X.2020.1804595.
Munavalli, G. R., and M. S. MohanKumar. 2004. “Dynamic simulation of multicomponent reaction transport in water distribution systems.” Water Res., 38 (8): 1971–1988. https://doi.org/10.1016/j.watres.2004.01.025.
Pick, F. C., K. E. Fish, and J. B. Boxall. 2021. “Assimilable organic carbon cycling within drinking water distribution systems.” Water Res., 198: 117147. Elsevier Ltd. https://doi.org/10.1016/j.watres.2021.117147.
Prest, E. I., F. Hammes, M. C. M. van Loosdrecht, and J. S. Vrouwenvelder. 2016. “Biological stability of drinking water: Controlling factors, methods, and challenges.” Front. Microbiol., 7 (FEB): 1–24. https://doi.org/10.3389/fmicb.2016.00045.
Prévost, M., A. Rompré, J. Coallier, P. Servais, P. Laurent, B. Clément, and P. Lafrance. 1998. “Suspended bacterial biomass and activity in full-scale drinking water distribution systems: Impact of water treatment.” Water Res., 32 (5): 1393–1406. https://doi.org/10.1016/S0043-1354(97)00388-6.
Sattar, A. M. A. 2014. “Gene Expression Models for the Prediction of Longitudinal Dispersion Coefficients in Transitional and Turbulent Pipe Flow.” J. Pipeline Syst. Eng. Pract., 5 (1): 04013011. https://doi.org/10.1061/(ASCE)PS.1949-1204.0000153.
Schrottenbaum, I., J. Uber, N. Ashbolt, R. Murray, R. Janke, J. Szabo, and D. Boccelli. 2009. “Simple Model of Attachment and Detachment of Pathogens in Water Distribution System Biofilms.” World Environ. Water Resour. Congr. 2009 Gt. Rivers, 145–157. ASCE.
Servais, P., P. Laurent, G. Billen, and D. Gatel. 1995. “Development of a Model of BDOC and Bacterial Biomass Fluctuations in Distribution Systems.” Rev. Sci. Eau, 8 (4): 427–462.
Shang, F., H. Woo, J. B. Burkhardt, and R. Murray. 2021. “Lagrangian Method to Model Transport in Drinking Water Pipe Networks.” J. Water Resour. Plan. Manag., 147 (9): 04021057. https://doi.org/10.1061/(ASCE)WR.1943-5452.0001421.
Szewzyk, U., R. Szewzyk, W. Manz, and K. H. Schleifer. 2000. “Microbiological Safety of Drinking Water.” Annu. Rev. Microbiol., 54: 81–127.
Taylor, G. 1953. “Dispersion of Soluble Matter in Solvent Flowing Slowly through a Tube.” Proc. R. Soc. A Math. Phys. Eng. Sci., 219 (1137): 186–203. https://doi.org/10.1098/rspa.1953.0139.
Taylor, G. 1954. “The Dispersion of Matter in Turbulent Flow through a Pipe.” Proc. R. Soc. A Math. Phys. Eng. Sci., 223 (1155): 446–468. https://doi.org/10.1098/rspa.1954.0130.
Tzatchkov, V. G., A. A. Aldama, and F. I. Arreguin. 2002. “Advection-Dispersion-Reaction Modeling in Water Distribution Networks.” J. Water Resour. Plan. Manag., 128 (5): 334–342. https://doi.org/10.1061/(asce)0733-9496(2002)128:5(334).
Zhang, W., C. T. Miller, and F. A. DiGiano. 2004. “Bacterial Regrowth Model for Water Distribution Systems Incorporating Alternating Split-Operator Solution Technique.” J. Environ. Eng., 130 (9): 932–941. https://doi.org/10.1061/(ASCE)0733-9372(2004)130:9(932).
Zhang, Y., N. Love, and M. Edwards. 2009. Nitrification in drinking water systems. Crit. Rev. Environ. Sci. Technol.
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Published online: May 18, 2023
ASCE Technical Topics:
- Business management
- Decision making
- Decision support systems
- Drinking water
- Engineering fundamentals
- Environmental engineering
- Infrastructure
- Mathematics
- Microbes
- Models (by type)
- Organisms
- Pipeline systems
- Pipelines
- Practice and Profession
- Probability
- Simulation models
- Stochastic processes
- Water (by type)
- Water and water resources
- Water management
- Water pipelines
- Water quality
- Water supply
- Water supply systems
- Water treatment
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