Abstract
This work deals with the analytical solution of advection dispersion equation arising in solute transport along unsteady groundwater flow in finite aquifer. A time dependent input source concentration is considered at the origin of the aquifer and it is assumed that the concentration gradient is zero at the other end of the aquifer. The optimal homotopy analysis method (OHAM) is used to obtain numerical and graphical representation.
Highlights
Solutions of advection-dispersion equation (ADE) may be used to predict the concentration of solutes in unsteady groundwater flow
Advection causes the contaminant plum to flow in the direction of groundwater water without any change in the shape
The heterogeneity of the porous medium is responsible for dispersion
Summary
Solutions of advection-dispersion equation (ADE) may be used to predict the concentration of solutes in unsteady groundwater flow. Advection causes the contaminant plum to flow in the direction of groundwater water without any change in the shape. The solute transport in heterogeneous aquifer is the combined process of advection and dispersion. Analytical solutions in one-dimensional problems through semi-infinite or finite porous media have been presented by several researchers: (Mazaheri et al 2013, Kumar et al 2010, Marino et al 1974, Singh et al 2008) etc. The objective of this work is to derive an approximate analytical solution of ADE with the help of Optimal Homotopy Analysis Method (OHAM). An approximate analytical solution of one-dimensional ADE in heterogeneous finite aquifer is derived for continuous time dependent input source concentration of increasing nature
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