Abstract
This paper presents statistical behavior of contaminant concentration distribution in a hypothetical two-layer aquifer. The aquifer consists of two layers, connected through patchy pervious interfaces through which exchange of concentration takes place. To obtain time evolution of contaminant plume, an alternating direction implicit (ADI) scheme is adopted to solve coupled advection-diffusion equations. The effect of rain infiltration, boundary reaction, and evolution of contaminant plume are examined from the mean concentration distribution, calculated from four central moments using the Hermite polynomials. By applying Edgeworth asymptotic series, the centroid displacement for contaminant cloud and deviations of mean concentration from Gaussianity are examined by means of skewness and other parameters. Model results show that the effect of the boundary reaction plays a significant role in plume dilution in contrast to rain infiltration, and their combined effect cause negatively skewed deviations from Gaussianity. The dilution of contaminant concentration has been reported using breakthrough curve analysis.
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