Publication Date:
2023-07-25
Description:
Groundwater pollution is a severe environmental problem caused by various sources such as industries, refineries, pesticides, fertilizers, and mining activities. Mathematically, the advection-dispersion equation (ADE) is used to model the groundwater contamination distribution, but it can be challenging due to complex geometries and hydrogeological characteristics. Moreover, for several realistic scenarios, the input contaminant source might be located at an intermediate position of the domain, leading to reversible solute dispersion. To address these challenges, we present a two-dimensional (2D) mathematical model to predict contaminant concentration levels in a semi-infinite flow field, with an exponential time-varying input point source at an intermediate domain location along and against the flow directions. The concentration gradients are assumed to be zero at the other ends of the two-dimensional domain. The effect of off-diagonal dispersion is also included in the model equation. The impact of various hydrological variables, such as porosity, distribution coefficient, decay parameter, etc., on the nature of contaminant transport is examined graphically. The proposed model problem is solved analytically using the Laplace transform technique, and the Crank-Nicolson scheme is used to obtain the numerical solution. The obtained numerical solution of the 2D model problem shows a good agreement with the analytical solution. Further, the presented work would be helpful in modelling the forward-backward dispersion of groundwater contaminants in a three-dimensional heterogeneous domain.
Language:
English
Type:
info:eu-repo/semantics/conferenceObject
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