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Titre: Generalized skewed model for spatial-fractional advective–dispersive phenomena
Auteur(s): Moraes, Ricardo Mendonça de
Ozelim, Luan Carlos de Sena Monteiro
Cavalcante, André Luís Brasil
metadata.dc.identifier.orcid: https://orcid.org/0000-0003-4701-2933
https://orcid.org/0000-0002-2581-0486
https://orcid.org/0000-0003-4980-1450
Assunto:: Contaminantes
Cálculo
Date de publication: 2022
Editeur: MDPI
Référence bibliographique: MORAES, Ricardo Mendonça de; OZELIM, Luan Carlos de Sena Monteiro; CAVALCANTE, André Luís Brasil. Generalized skewed model for spatial-fractional advective–dispersive phenomena. Sustainability, v. 14, n. 7, 4024, 2022. DOI: https://doi.org/10.3390/su14074024. Disponível em: https://www.mdpi.com/2071-1050/14/7/4024. Acesso em: 3 jun. 2022.
Abstract: The conventional mathematical model expressed by the advection–dispersion equation has been widely used to describe contaminant transport in porous media. However, studies have shown that it fails to simulate early arrival of contaminant, long tailing breakthrough curves and presents a physical scale-dependency of the dispersion coefficient. Recently, advances in fractional calculus allowed the introduction of fractional order derivatives to model several engineering and physical phenomena, including the anomalous dispersion of solute particles. This approach gives birth to the fractional advection–dispersion equation. This work presents new solutions to the fractional transport equation that satisfies the initial condition of constant solute injection in a semi-infinite medium. The new solution is derived based on a similarity approach. Moreover, laboratory column tests were performed in a Brazilian lateritic soil to validate the new solution with experimental data and compare its accuracy with the conventional model and other fractional solutions. The new solution outperforms the existing ones and reveals an interesting fractal-like scaling rule for the diffusivity coefficients.
Licença:: (CC BY)
DOI: https://doi.org/10.3390/su14074024
Collection(s) :Artigos publicados em periódicos e afins

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