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Erschienen in:

2023 | OriginalPaper | Buchkapitel

2. Numerical Solution of Space Fractional Advection–Dispersion Equation and Application

verfasst von : Pramod Kumar Sharma, Muskan Mayank, Pooja Agarwal

Erschienen in: Environmental Processes and Management

Verlag: Springer International Publishing

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Abstract

Generally, advection–dispersion and fractional advection–dispersion equations are used to model the transport of solute tracer in a porous medium. This study describes the numerical solution of both the general advection–dispersion equation and the space fractional advection–dispersion equation. The developed numerical model is used to simulate the observed data of chloride concentration obtained in the laboratory using soil column experiments. Different scenarios were used to estimate the transport parameters to simulate the concentration profiles through experiments.

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Benson DA, Wheatcraft SW, Meerschaert MM (2000a) The fractional-order governing equation of Lévy motion. Water Resour Res 36(6):1413–1423. https://doi.org/10.1029/2000WR900032CrossRef

Benson DA, Wheatcraft SW, Meerschaert MM (2000b) Application of a fractional advection-dispersion equation. Water Resour Res 36(6):1403–1412. https://doi.org/10.1029/2000WR900031CrossRef

Benson DA, Schumer R, Meerschaert MM, Wheatcraft SW (2001). Fractional dispersion, Lévy motion, and the MADE tracer tests. Transp Porous Media 42(1):211–240. https://doi.org/10.1023/A:1006733002131

Ben-Zvi R, Scher H, Jiang S, Berkowitz B (2016) One-dimensional finite element method solution of a class of integro-differential equations: application to non-Fickian transport in disordered media. Transp Porous Media 115(2):239–263CrossRef

Gelhar LW, Welty C, Rehfeldt KR (1992) A critical review of data on field-scale dispersion in aquifers. Water Resour Res 28(7):1955–1974. https://doi.org/10.1029/92WR00607CrossRef

Kundu S (2018) Suspension concentration distribution in turbulent flows: an analytical study using fractional advection–diffusion equation. Phys A 506:135–155CrossRef

Meerschaert MM, Tadjeran C (2004) Finite difference approximations for fractional advection–dispersion flow equations. J Comput Appl Math 172(1):65–77. https://doi.org/10.1016/j.cam.2004.01.033CrossRef

Meerschaert MM, Tadjeran C (2006) Finite difference approximations for two-sided space-fractional partial differential equations. Appl Numer Math 56(1):80–90. https://doi.org/10.1016/j.apnum.2005.02.008CrossRef

Moradi G, Mehdinejadiani B (2020) An experimental study on scale dependency of fractional dispersion coefficient. Arab J Geosci 13:409CrossRef

Sharma PK, Agarwal P, Mehdinejadiani B (2020) Study on non-Fickian behavior for solute transport through porous media. ISH J Hydraul Eng. https://doi.org/10.1080/09715010.2020.1727783CrossRef

Sternberg SPK (2004) Dispersion measurements in highly heterogeneous laboratory scale porous media. Transp Porous Media 54:107–124. https://doi.org/10.1023/A:1025708313812CrossRef

Titel: Numerical Solution of Space Fractional Advection–Dispersion Equation and Application
verfasst von: Pramod Kumar Sharma
Muskan Mayank
Pooja Agarwal
Verlag: Springer International Publishing
Buch: Environmental Processes and Management
Print ISBN: 978-3-031-20207-0

Electronic ISBN: 978-3-031-20208-7

Copyright-Jahr: 2023
DOI: https://doi.org/10.1007/978-3-031-20208-7_2