Off-Diagonal Dispersion Effect with Pollutant Migration in Groundwater System

AbstractThis study proposes two-dimensional (2D) pollutant migration in a semi-infinite geological formation with spatial varying transport parameters. Because the groundwater flow is bidirectional, the impact of off-diagonal dispersion also was taken into account. A decay parameter was considered i...

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Bibliographic Details
Published in:Journal of engineering mechanics 2021-12, Vol.147 (12)
Main Authors: Rajput, Sohini, Singh, Mritunjay Kumar
Format: Article
Language:English
Subjects:
Dispersion
Finite difference method
Geology
Groundwater
Groundwater flow
Laplace transforms
Parameters
Pollutants
Porous media
Solid phases
Technical Papers
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Summary:AbstractThis study proposes two-dimensional (2D) pollutant migration in a semi-infinite geological formation with spatial varying transport parameters. Because the groundwater flow is bidirectional, the impact of off-diagonal dispersion also was taken into account. A decay parameter was considered in the aqueous phase as well as in the solid phase. We assumed that the groundwater reservoir was not plume-free, because some scale-varying pollutant exists there very initially, decaying with space. A change in the source at the inlet boundary in the presence of off-diagonal dispersion (ODD) alters the strength of pollutant concentration. The existing solutions can be reduced into other existent solutions for various geological formations. The Laplace transform technique (LTT) was applied to obtain the pollutant concentration profile in the 2D anisotropic heterogeneous porous medium. The Crank–Nicolson finite-difference (CNFD) technique was adopted for a numerical simulation. We demonstrated the validity of the analytical result. The numerical result and some previously available data from literature were compared and good agreement was found.
ISSN:0733-9399
1943-7889
DOI:10.1061/(ASCE)EM.1943-7889.0002009