Mathematical models of water quality treatment

Authors

DOI:

https://doi.org/10.33448/rsd-v11i8.28097

Keywords:

Water quality; Monitoring; Mathematical models.

Abstract

Water is an essential natural resource for all forms of life in the world. Its availability is a management agent today for not to be lacking in the future and sustaining all ecosystems. Monitoring the water quality is mandatory to ensure the effectiveness of its various uses. In recent years, mathematical simulation models for water quality are common in scientific research. Thus, the objective is to analyze the mathematical models that appear most frequently in the literature and their main characteristics. Mathematical modeling allows predicting the behavior of a given system, that is, the reservoir, being possible to estimate its evolution over time. As this study was classified as an exploratory research, it collaborated in the line of investigation and encouraged operational research to analyze reservoir systems, such as residential pools, in terms of water quality.

References

Al-Khafaji, M. S. (2019). Deterministic methodology for determining the optimal sampling frequency of water quality monitoring systems. Hydrology, 6(4), 1–20. https://doi.org/10.3390/HYDROLOGY6040094

Amala, S. E., & Aleru, C. P. (2016). Bacteriological Quality of Swimming Pools Water in Port Harcourt Metropolis. Natural Science, 08(03), 79–84. https://doi.org/10.4236/ns.2016.83010

Bezerra, I. S. de O., Mendonça, L. A. R., & Frischkorn, H. (2008). Autodepuração de cursos d´água: um programa de modelagem Streeter Phelps com calibração automática e correção de anaerobiose. R. Esc. Minas, 61(2), 249–255.

Braga, D., Hespanhol, I., Conejo, J. G. L., Mierzwa, J. C., Barros, M. T. L. de, Spencer, M., Porto, M., Nucci, N., Juliano, N., & Eiger, S. (2005). Introdução à Engenharia Ambiental: Desafio do desenvolvimento sustentável (Pearson Pr).

Caruso, B. S. (2004). Modeling metals transport and sediment/Water interactions in a mining impacted moutain stream. Journal of the American Water Resources Association.

Carvalho, M. C. de S., Carvalho, F. do S. de S., & Neto, O. de M. M. (2019). Reúso Adequado das águas drenadas das piscinas: Um compromisso que os engenheiros sanitaristas devem balancear com o tratamento de água. I Congresso Internacional Da Diversidade Do Semiárido.

Chapra, S. (1997). Suface Water-Quality Modeling (McGraw-Hil, Issue May).

Chau, K. W. (2004). A three-dimensional eutrophication modeling in Tolo Harbour. Applied Mathematical Modelling, 28(9), 849–861. https://doi.org/10.1016/j.apm.2004.04.002

Christiano, D. (2007). Uso de Redes Neurais Artificiais, aplicadas no Rio Jaguaribe, João Pessoa, PB, como ferramenta de previsão para o gerenciamento ambiental. Universidade Federal da Paraíba.

Dallolio, L., Belletti, M., Agostini, A., Teggi, M., Bertelli, M., Bergamini, C., Chetti, L., & Leoni, E. (2013). Hygienic surveillance in swimming pools: Assessment of the water quality in Bologna facilities in the period 2010-2012. Microchemical Journal, 110, 624–628.

https://doi.org/10.1016/j.microc.2013.07.013

Díaz-Solano, B. H., Esteller, M. V., & Hoyos, S. E. G. (2011). Physicist-chemistry and microbiological water quality in aquatic parks | Calidad físico-química y microbiológica del agua en parques acuáticos. Hidrobiologica, 21(1), 49–62.

Dirtu, D., Pancu, M., Minea, M. L., Chirazi, Ma., Sandu, I., & Dirtu, A. C. (2022). Study of the quality indicators for the indoor swimming pool water samples in Romania. Rev Chim - Bucharest., 67(6), 1167–1171.

Enze, V. ., Onwuakor, C. ., & Ikwuegbu, A. L. (2015). Microbiological and Physicochemical Characteristics of Swimming Pool Water in Owerri, Imo State, Nigeria. Journal of Applied & Environmental Microbiology, 3(1), 6–10. https://doi.org/10.12691/jaem-3-1-2

Esinulo, A. C., & Ogbuagu, D. H. (2016). Quality Assessment of Selected Public Swimming Pools in Owerri Metropolis , Nigeria. International Journal of Innovative Environmental Studies Research, 4(1), 28–34.

Fadaei, A., & Amiri, M. (2015). Comparison of chemical, biological and physical quality assessment of indoor swimming pools in Shahrekord City, Iran in 2013. Global Journal of Health Science, 7(3), 240–248. https://doi.org/10.5539/gjhs.v7n3p240

Fleck, L., Tavares, M. H. F., & Eyng, E. (2013). PRINCIPAIS MODELOS MATEMÁTICOS DE QUALIDADE DA ÁGUA E SUAS APLICAÇÕES : UMA REVISÃO. Revista Eletrônica Científica Inovação e Tecnologia, 01(07), 47–62.

Fonseca, J. J. S. da. (2002). Metodologia da Pesquisa Científica. In UECE - Universidade Estadual do Ceará.

Freitas, V. P. S., Brigido, B. M., Badolato, M. I. C., & Alaburda, J. (2002). Padrão físico-químico da água de abastecimento público da região de Campinas. Rev. Inst. Adolfo Lutz, 61(1), 51–58.

Gil, A. C. (2008). Métodos e Técnicas de Pesquisa Social. In Annals of Ophthalmology (Atlas, Issue 6).

Gomes, E. C. A. (2014). Avaliação da qualidade da água em edificações multifamiliares na cidade de Campina Grande - PB [Universidade Federal de Campina Grande]. In Dissertação (Mestrado em Engenharia Civil e Ambiental) (Vol. 39, Issue 1). http://dx.doi.org/10.1016/j.biochi.2015.03.025%0Ahttp://dx.doi.org/10.1038/nature10402%0Ahttp://dx.doi.org/10.1038/nature21059%0Ahttp://journal.stainkudus.ac.id/index.php/equilibrium/article/view/1268/1127%0Ahttp://dx.doi.org/10.1038/nrmicro2577%0Ahttp://

Holnicki-Szulc, J., & Marzec, Z. (2000). Damping of Vibration of Adaptive Structures - Computer Simulation and Experimental Verification. IFAC Proceedings Volumes, 33(26), 923–928. https://doi.org/10.1016/s1474-6670(17)39263-7

Ibanga, O., & Mamuro, O. G. (2020). Application of Water Quality Index in Assessment of Swimming Pools Water Quality in Hotels in Emerging Africa Littoral Metropolis of Warri, Delta State, Nigeria. Geosport for Society, 13(2), 91–107. https://doi.org/10.30892/gss.1301-062

Júnior, P. R. M. (2010). Aplicação do Modelo de autodepuração de Qualidade das Águas QUAL-UFMG. Universidade Federal de Ouro Preto.

Lehner, B., Liermann, C. R., Revenga, C., Vörömsmarty, C., Fekete, B., Crouzet, P., Döll, P., Endejan, M., Frenken, K., Magome, J., Nilsson, C., Robertson, J. C., Rödel, R., Sindorf, N., & Wisser, D. (2011). High-resolution mapping of the world’s reservoirs and dams for sustainable river-flow management. Frontiers in Ecology and the Environment, 9(9), 494–502. https://doi.org/10.1890/100125

Lopes, F. W. de A., & Magalhães, A. P. (2010). Influência das condições naturais de pH sobre o índice de qualidade das águas (IQA) na bacia do Ribeirão de Carrancas. Revista Geografias, 6(2), 134–147. http://igc.ufmg.br/portaldeperiodicos/index.php/geografias/article/viewFile/519/390

Lucas, A. A. T., Netto, A. de O. A., Folegatti, M. V., & Ferreira, R. A. (2014). Calibração do modelo hidrodinâmico MIKE 11 para a sub-bacia hidrográfica do rio Piauitinga, Sergipe, Brasil. Revista Ambiente e Agua, 9(3), 445–458. https://doi.org/10.4136/1980-993X

Ludke, M., & André, M. E. D. A. (2013). Pesquisa em educação: Abordagens Qualitativas (E. P. U).

Marconi, M. de A., & Lakatos, E. M. (2010). Fundamentos de metodologia científica.

Missaghi, S., Hondzo, M., & Melching, C. (2014). Three-Dimensional Lake Water Quality Modeling: Sensitivity and Uncertainty Analyses. Journal of Environmental Quality, 42(6), 1684–1698. https://doi.org/10.2134/jeq2013.04.0120

Moher, D., Liberati, A., Tetzlaff, J., Altman, D. G., Altman, D., Antes, G., Atkins, D., Barbour, V., Barrowman, N., Berlin, J. A., Clark, J., Clarke, M., Cook, D., D’Amico, R., Deeks, J. J., Devereaux, P. J., Dickersin, K., Egger, M., Ernst, E., … Tugwell, P. (2009). Preferred reporting items for systematic reviews and meta-analyses: The PRISMA statement. PLoS Medicine, 6(7). https://doi.org/10.1371/journal.pmed.1000097

Moreira, M. C. C., Aparecido, G. R., & Lima, A. B. C. R. (2020). Qualidade da água em piscinas coletivas nos municípios de Jundiaí e Várzea Paulista, SP. Revista Interdiciplinar Encontr Das Ciências, January. https://doi.org/10.1000/riec.v3i2.162.g111

Oppa, L. F. (2007). Utilização de modelo matemático de qualidade da água para análise de alternativas de enquadramento do Rio Vacacaí Mirim. Universidade Federal de Santa Maria (UFSM, RS).

Osei-Adjei, G., Sarpong, S. K., Laryea, E., & Tagoe, E. (2014). Bacteriological Quality Assessment of swimming pools in the Osu-Labadi Area, Accra. Journal of Natural Sciences Research, 4(19), 126–129. http://iiste.org/Journals/index.php/JNSR/article/view/15879

Papanicolaou, A. N. T., Elhakeem, M., Prakash, S., Krallis, G., & Edinger, J. (2008). Sediment Transport Modeling Review — Current and. Journal of Hydraulic Engineering, 134(1), 1–14.

Pesewu, G. A., Boakye, N. A., Norshie, V., Adjei, D. N., Olu-Taiwo, M. A., Mills-Robertson, F. C., Osei-Djarbeng, S., Asmah, R. H., & Ayeh-Kumi, P. F. (2015). Bacteriological Assessment of Water Quality of Public Swimming Pools in the Accra Metropolis, Ghana. Current Research Journal of Biological Sciences, 7(2), 31–36. https://doi.org/10.19026/crjbs.7.5204

Rabi, A., Khader, Y., Alkafajei, A., & Aqoulah, A. A. (2008). Sanitary Conditions of Public Swimming Pools in Amman, Jordan. International Journal of Environmental Research and Public Health, 13(7), 152–157. https://doi.org/10.3390/ijerph13070646

Richter, B. D., Davis, M. M., Apse, C., & Konrad, C. (2014). A presumptive standard for environmental flow protection. River Research and Applications, 30(January), 132–133. https://doi.org/10.1002/rra

Santos, T. E. B. dos, Franco, R. M., Hernandez, F. B. T., & Caldas, R. R. (2007). Avaliação da qualidade física da água para fins de irrigação no córrego do ipê , ILHA SOLTEIRA-SP. XXXVI Congresso Brasileiro de Engenharia Agrícola Bonito - MS, 2–5.

Schaefer, K. A., & Bielak, A. T. (2009). Limkimg water science to policy: results from a series of national workshops on water. Environmental Monitoring and Assessment, 431–442.

Tsutiya, M. T. (2006). Abastecimento de água (3d ed.).

Wagner, I., Izydorczyk, K., Kiedrzyńska, E., Mankiewicz-Boczek, J., Jurczak, T., Bednarek, A., Wojtal-Frankiewicz, A., Frankiewicz, P., Ratajski, S.,

Kaczkowski, Z., & Zalewski, M. (2009). Ecohydrological system solutions to enhance ecosystem services: The Pilica River demonstration project. Ecohydrology and Hydrobiology, 9(1), 13–39. https://doi.org/10.2478/V10104-009-0042-8

Wiberg, D., & Strzepek, K. M. (2005). CHARM: A Hydrologic Model for Land Use and Climate Change Studies in China. Environmental Science, 3–6.

Zhang, Y., Zhou, J. L., & Ning, B. (2007). Photodegradation of estrone and 17β-estradiol in water. Water Research, 41(1), 19–26. https://doi.org/10.1016/j.watres.2006.09.020

Ziemińska-Stolarska, A., & Skrzypski, J. (2012). Review of mathematical models of water quality. Ecological Chemistry and Engineering S, 19(2), 197–211. https://doi.org/10.2478/v10216-011-0015-x

Downloads

Published

01/07/2022

How to Cite

MARTINS, N. do N. .; MARTINS, K. Y. N. .; BRANCO, R. R. C. .; MARTINS, K. Y. N. .; FILGUEIRA, A. K. L. .; RAMOS, M. das G. O. .; LOPES, W. S. .; FREIRE, M. Mathematical models of water quality treatment. Research, Society and Development, [S. l.], v. 11, n. 8, p. e3011828097, 2022. DOI: 10.33448/rsd-v11i8.28097. Disponível em: https://rsdjournal.org/index.php/rsd/article/view/28097. Acesso em: 3 apr. 2025.

Issue

Vol. 11 No. 8

Section

Engineerings

License

Copyright (c) 2022 Núbia do Nascimento Martins; Khelvyn Yhasley Nascimento Martins; Rodolfo Ramos Castelo Branco; Ketinlly Yasmyne Nascimento Martins; Anna Kellssya Leite Filgueira; Maria das Graças Ouriques Ramos; Wilton Silva Lopes; Morgana Freire

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors who publish with this journal agree to the following terms:

1) Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.

2) Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.

3) Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.