Título:	Generalized skewed model for spatial-fractional advective–dispersive phenomena
Autor(es):	Moraes, Ricardo Mendonça de Ozelim, Luan Carlos de Sena Monteiro Cavalcante, André Luís Brasil
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
Data de publicação:	2022
Editora:	MDPI
Referência:	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
Aparece nas coleções:	Artigos publicados em periódicos e afins

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