Version 1
: Received: 5 May 2024 / Approved: 6 May 2024 / Online: 7 May 2024 (03:15:34 CEST)
How to cite:
Madie Yonti, C.; Togue Kamga, F. Numerical Simulation Of Nonlinear Advection-Diffusion-Fractional Equation of Pollutants in Porous Media. Preprints2024, 2024050315. https://doi.org/10.20944/preprints202405.0315.v1
Madie Yonti, C.; Togue Kamga, F. Numerical Simulation Of Nonlinear Advection-Diffusion-Fractional Equation of Pollutants in Porous Media. Preprints 2024, 2024050315. https://doi.org/10.20944/preprints202405.0315.v1
Madie Yonti, C.; Togue Kamga, F. Numerical Simulation Of Nonlinear Advection-Diffusion-Fractional Equation of Pollutants in Porous Media. Preprints2024, 2024050315. https://doi.org/10.20944/preprints202405.0315.v1
APA Style
Madie Yonti, C., & Togue Kamga, F. (2024). Numerical Simulation Of Nonlinear Advection-Diffusion-Fractional Equation of Pollutants in Porous Media. Preprints. https://doi.org/10.20944/preprints202405.0315.v1
Chicago/Turabian Style
Madie Yonti, C. and Fulbert Togue Kamga. 2024 "Numerical Simulation Of Nonlinear Advection-Diffusion-Fractional Equation of Pollutants in Porous Media" Preprints. https://doi.org/10.20944/preprints202405.0315.v1
Abstract
The fractional advection-dispersion equation FADE plays an important role, especially in explaining the process of solute-transport in natural porous media with different degrees of heterogeneity. However, studies of the flow and transport of contaminants in the underground environment are based on the knowledge of many functional parameters of the subsoil. The delay factor caused by nonlinear absorption is one of these parameters inheriting significant ambiguities in its estimation in heterogeneous media. In the study, a fractional advection-dispersion FADE model was developed by the implicit Euler method, based on a Grunwald and Caputo-Liousville approximation to explicitly evaluate and simulate the transport mechanism of contaminants in media with unsaturated porous materials subjected to a nonlinear sorption model. Better solute mass retention was observed for fractional advection-dispersion FADE model. Moreover, the absorption parameter of the retardation coefficient has a better impact on the motion of the solute in a saturated porous medium. In other words, it has a significant effect on the dispersion of pollutants in aquifers. This study highlights the need to characterize the aquifer to predict solute transport in porous media.
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
