Modeling of Bromide Transport in Undisturbed Soil Columns with Fractional Advection-Dispersion Equation (FADE)

Document Type : Research Paper

Authors

1 Assistant professor, Department of Water Sciences and Engineering, East Azarbaijan Science and Research Branch, Islamic Azad University, Tabriz, Iran

2 Research Branch, Islamic Azad University, Tabriz, Iran

3 Former M.Sc student, Tabriz University

Abstract

Nowadays, mathematical models are commonly used as efficient tools in solute transport studies and management in porous media. In this study, the developed and improved Advection-Dispersion Equation (ADE) model known as Fractional Advection-Dispersion Equation (FADE), which is based on the theory of Levy motion, was used to simulate the transport of bromide through undisturbed clay loam and sandy loam soil columns (10 cm in diameter and 40 cm long). The quantities of fractional order (α) for clay loam and sandy loam soil columns were derived at 1.437 and 1.865 (less than 2), respectively. This indicated that the bromide transport behaviour within the clay loam and sandy loam soil columns was anomalous transport or non-Fickian transport and FADE model was more suitable for simulation of bromide transport through undisturbed clay loam and sandy soil columns compared to ADE model with Fickian diffusion law basis. The graphical and statistical analysis confirmed the efficiency of FADE model for simulation of bromide transport. Despite high accuracy of FADE model in this research, there was no appreciable difference between FADE and ADE models.

Keywords

References

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Iranian Journal of Soil Research
Volume 28, Issue 1
September 2019
Pages 77-86

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