Modelling the dispersion of pollutants in the water supply of a metropolis in the Amazon
DOI:
https://doi.org/10.4025/actascitechnol.v48i1.73241Palavras-chave:
COP30, lake pollution, phosphorus, numerical simulation, finite elements method.Resumo
Belém, the capital of the state of Pará and the host city of COP30 (30th United Nations Climate Change Conference), located in the Brazilian Amazon, faces a risk to its potable water source due to pollution. Thus, the study aims to model the dispersion of pollutants, in this case, phosphorus, within the Utinga source, which is formed by the artificial lakes Ígua Preta and Bolonha. The Saint-Venant equations were solved via a hydrodynamic model formulated with the finite element method. Pollutant dispersion simulation followed the SUPG/θ numerical method for spatial and temporal discretization, respectively, of the advection-diffusion-reaction equation in two dimensions. The results indicate that, due to the low flow dynamics of the lakes, the highest phosphorus concentration is found near the entry of Lake Ígua Preta. This is a result of the waters from the Guamá River, which receive a significant portion of the city of Belém's sewage, only 2.38% of which is treated. A good legacy of COP30 would be a sewage collection and treatment system for Belém, which would minimize the pollution of the waters of the Guamá River and, consequently, the waters of the Utinga source benefiting the region's population.
Downloads
Referências
Elshemy, M., Khadr, M., Atta, Y., & Sayed, A. A. (2016). Hydrodynamic and water quality modeling of Lake Manzala (Egypt) under data scarcity. Environmental Earth Sciences, 75(19), Artigo 1329. https://doi.org/10.1007/s12665-016-6136-x
Heniche, M. A., Secretan, Y., Boudreau, P., & Leclerc, M. (2000). A two-dimensional finite element drying-wetting shallow water model for rivers and estuaries. Advances in Water Resources, 23(4), 359–372. https://doi.org/10.1016/S0309-1708(99)00031-7
Holanda, O. S., Blanco, C. J. C., Mesquita, A. L. A., Brasil Junior, A. C. P., Figueiredo, N. M., Macedo, E. M., & Secretan, Y. (2017). Assessment of hydrokinetic energy resources downstream of hydropower plants. Renewable Energy, 101, 1203–1214. https://doi.org/10.1016/j.renene.2016.10.011
Holanda, P. S., Blanco, C. J. C., Cruz, D. O. A., Lopes, D. F., Barp, A. R. B., & Secretan, Y. (2011). Hydrodynamic modeling and morphological analysis of Lake Água Preta: One of the water sources of Belém-PA-Brazil. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 33(2), 117–124. https://doi.org/10.1590/S1678-58782011000200001
Instituto Trata Brasil. (2024). Ranking do saneamento do Instituto Trata Brasil de 2024 (SNIS 2022). https://tratabrasil.org.br/ranking-do-saneamento-2024/
Lima, N. S., Blanco, C. J. C., Holanda, O. S., Lopes, D. F., Barp, A. R. B., & Secretan, Y. (2013). Hydrodynamic modeling and morphological analysis of Lake Bolonha: A water source in Belém, Pará State, Brazil. Acta Scientiarum. Technology, 35(1), 59–67. https://doi.org/10.4025/actascitechnol.v35i1.13670
Lima, R., Mesquita, A. L. A., Blanco, C. J. C., Lins, E. F., Santos, M. L. S., & Secretan, Y. (2014). On the application of SUPG/q-method in 2D advection-diffusion-reaction simulation. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 36, 591–603. https://doi.org/10.1007/s40430-013-0099-6
Lima, R., Mesquita, A. L. A., Blanco, C. J. C., Santos, M. L. S., & Secretan, Y. (2015). An analysis of total phosphorus dispersion in lake used as a municipal water supply. Anais da Academia Brasileira de Ciências, 87(3), 1505–1518. https://doi.org/10.1590/0001-3765201520130317
Massabó, M., Cianci, R., & Paladino, O. (2011). An analytical solution of the advection dispersion equation in a bounded domain and its application to laboratory experiments. Journal of Applied Mathematics, 2011, Artigo 493014. https://doi.org/10.1155/2011/493014
McCartin, B. J., & Forrester Jr, S. B. A. (2002). Fractional step-exponentially fitted hopscotch scheme for the Streeter-Phelps equations of river self-purification. Engineering Computations, 19(2), 177–189. https://doi.org/10.1108/02644400210419049
Organização das Nações Unidas. (2015). Transformando nosso mundo: A Agenda 2030 para o Desenvolvimento Sustentável. https://brasil.un.org/pt-br/91863-agenda-2030-para-o-desenvolvimento-sustentavel
Roohi, M., Soleymani, K., Salimi, M., & Heidari, M. (2020). Numerical evaluation of the general flow hydraulics and estimation of the river plain by solving the Saint–Venant equation. Modeling Earth Systems and Environment, 6(2), 645–658. https://doi.org/10.1007/s40808-020-00718-9
Saad, Y., & Schultz, M. H. (1986). GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal on Scientific and Statistical Computing, 7(3), 856–869. https://doi.org/10.1137/0907058
Santos, M. L. S., Sousa, R. R., Pereira, J. A. R., Silva, J. P., & Lima, M. W. (2015). Diffuse sources of pollution and their influence on the nature of the sediments in Água Preta Lake. Acta Scientiarum. Technology, 37(2), 259–264. https://doi.org/10.4025/actascitechnol.v37i2.25745
Secretan, Y. (2023). H2D2 Software [Software]. GitLab. https://www.gitlab.com/h2d2
Tarabih, O. M., Dang, T. C., Paudel, R., & Arias, M. E. (2023). Lake operation optimization of nutrient exports: Application of phosphorus control in the largest subtropical lake in the United States. Environmental Modelling & Software, 160, Artigo 105603. https://doi.org/10.1016/j.envsoft.2022.105603
Tezduyar, T. E. (1992). Stabilized finite element formulations for incompressible flow computations. Advances in Applied Mechanics, 28, 1–44. https://doi.org/10.1016/S0065-2156(08)70153-4
Yi, Y., Tang, C., Yang, Z., Zhang, S., & Zhang, C. (2017). A one-dimensional hydrodynamic and water quality model for a water transfer project with multihydraulic structures. Mathematical Problems in Engineering, 2017, Artigo 656191. https://doi.org/10.1155/2017/2656191
Downloads
Publicado
Edição
Seção
Licença
Copyright (c) 2025 Romulo Correa Lima, Claudio José Cavalcante Blanco, André Luiz Amarante Mesquita, Yves Secretan (Autor)

Este trabalho está licenciado sob uma licença Creative Commons Attribution 4.0 International License.
DECLARAÇíO DE ORIGINALIDADE E DIREITOS AUTORAIS
Declaro que o presente artigo é original, não tendo sido submetido í publicação em qualquer outro periódico nacional ou internacional, quer seja em parte ou em sua totalidade.
Os direitos autorais pertencem exclusivamente aos autores. Os direitos de licenciamento utilizados pelo periódico é a licença Creative Commons Attribution 4.0 (CC BY 4.0): são permitidos o compartilhamento (cópia e distribuição do material em qualqer meio ou formato) e adaptação (remix, transformação e criação de material a partir do conteúdo assim licenciado para quaisquer fins, inclusive comerciais.
Recomenda-se a leitura desse link para maiores informações sobre o tema: fornecimento de créditos e referências de forma correta, entre outros detalhes cruciais para uso adequado do material licenciado.











