Analysis of the influence of the soil retardation coefficient on the dispersion of pollutants in landfills

Authors

DOI:

https://doi.org/10.5902/2179460X87205

Keywords:

Sanitary landfills, Dispersion of pollutants, Retardation factor, GILTT, Mathematical modeling

Abstract

The increase in the consumption of disposable products, the excessive use of packaging and the presence of goods scheduled for rapid obsolescence are factors that have directly driven the growth in the production of municipal solid waste (MSW). When these wastes are not treated properly, their negative impacts on the environment become evident, including contamination of soil and water resources. Thus, the present work presents a study of a two-dimensional model of the dispersion of pollutants in landfills, considering the governing equation in dimensionless form. The problem under study is hypothesized to be the continuous and uniform leakage of an MSW storage cell. The adopted model is solved by the Generalized Integral Laplace Transform Technique (GILTT) method, whose solution is analytical, except for the truncation error in the infinite series. The results obtained show that the proposed method is effective in reproducing the physical characteristics of the problem and when compared with other results available in the literature, highlighting the influence of the delay factor parameter in the study.

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Author Biographies

Josiane Konradt, Universidade Federal de Pelotas

Master's student in the line of Transport Phenomena in the Graduate Program in Mathematical Modeling at the Federal University of Pelotas. Graduated in Mathematics from the Federal University of Pelotas.

Igor da Cunha Furtado, Instituto Federal Sul-rio-grandense

Currently professor of basic, technical and technological education at the Instituto Federal Sul-Rio-Grandense. Doctor and Master in mechanical engineering from the Federal University of Rio Grande do Sul. Degree in Mathematics from the Federal University of Pelotas. He is interested in the area of ​​mathematical physics and dedicated his academic training to modeling the dispersion of pollutants and infiltration problems in unsaturated porous media.

Guilherme Jahnecke Weymar, Universidade Federal de Pelotas

He is currently a professor of Higher Education at the Federal University of Pelotas. PhD and Master in Mechanical Engineering from the Federal University of Rio Grande do Sul. Degree in Mathematics from the Federal University of Pelotas. Participates in the Postgraduate Program in Mathematical Modeling at the Federal University of Pelotas. And he is interested in the area of ​​mathematical physics, studying the modeling of pollutant dispersion.

Régis Sperotto de Quadros, Universidade Federal de Pelotas

He holds a degree in Mathematics from the University of Passo Fundo (2000), a master's degree in Applied Mathematics from the Federal University of Rio Grande do Sul (2003), a PhD in Applied Mathematics from the Technische Universität Darmstadt in Darmstadt, Germany (2009) and a Postdoctoral Degree in Nuclear Energy from the Federal University of Rio Grande do Sul (2014). He has experience in the area of Mathematics, with emphasis on Numerical Analysis and Optimization. He is currently an associate professor in the Department of Mathematics and Statistics at the Federal University of Pelotas. On the GDISPEN laboratory page, some of the research that has been developed by the researcher and the research group team are described: https://wp.ufpel.edu.br/fentransporte/ 

Daniela Buske, Universidade Federal de Pelotas

Holds a bachelor's degree in Mathematics from the Federal University of Santa Maria (1999), a master's degree and a PhD in Mechanical Engineering from the Federal University of Rio Grande do Sul (2004; 2008) in the area of Transport Phenomena / Dispersion of Pollutants and postdoctoral fellow at the Federal University of Rio Grande do Sul (2011) in the area of Nuclear Engineering. He completed a PhD internship in Italy at the "Istituto Di Scienze Dell'atmosfera e Del Clima Di Bologna", ISAC/CNR in Bologna. She is currently an associate professor at the Federal University of Pelotas. She participates in the Graduate Program in Mathematical Modeling and the Graduate Program in Environmental Sciences at UFPel. He has experience in the area of Geosciences and Applied Mathematics, with emphasis on Applied Mathematics / Atmospheric Physics / Transport Phenomena, working mainly on the following topics: dispersion of pollutants, mathematical modeling, atmospheric boundary layer physics, air pollution, analytical/semi-analytical solutions, integral transforms, heat and mass transfer. On the GDISPEN laboratory page, some of the research that has been developed by the researcher and the research group team are described: https://wp.ufpel.edu.br/fentransporte/ 

References

ABRELPE (2022). Panorama dos resíduos sólidos no Brasil 2022. Associação Brasileira de Empresas de Limpeza Pública e Resíduos Especiais – ABRELPE, São Paulo, URL https://abrelpe.org.br/download-panorama-2022/.

Albuquerque, F. A. (2018). Estudo da propagação de contaminante em aterros sanitários via GITT. PhD Thesis, Universidade Federal da Paraíba, João Pessoa, PB, Brasil, URL https://repositorio.ufpb.br/jspui/handle/123456789/16762?locale=pt_BR.

Buske, D. (2008). Solução giltt bidimensional em geometria cartesiana: Simulação da dispersão de poluentes na atmosfera. Tese (doutorado), Programa de Pós-Graduação em Engenharia Mecânica, Universidade Federal do Rio Grande do Sul, Porto Alegre.

CONDER (2017). Manual de Operação de Aterros Sanitários. https://cooperativadereciclagem.files.wordpress.com/2010/06/manual_aterro_sanitario.pdf.

Hahn, D. W., Özisik, M. N. (1993). Heat conduction. John Wiley & Sons, Nova Jersey.

Lange, L. C., Simões, G. F., A., F. C. F., G., C. H. M. (2002). Estudo do transporte de contaminantes em meios porosos aplicado a aterros de disposição de resíduos sólidos urbanos. Alternativas para disposição de resíduos sólidos urbanos para pequenas comunidades: coletânea de trabalhos técnicos, pp. 85–92.

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Published

2024-11-07

How to Cite

Konradt, J., Furtado, I. da C., Weymar, G. J., Quadros, R. S. de, & Buske, D. (2024). Analysis of the influence of the soil retardation coefficient on the dispersion of pollutants in landfills. Ciência E Natura, 46(esp. 1), e87205. https://doi.org/10.5902/2179460X87205

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Section

Special Edition 1

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