Abstract
This study deals with the transport of a contaminant in groundwater. The contaminant is subject to first order decay or linear adsorption. Its displacement can be modeled by a random walk process in which particles are killed at exponentially distributed times. Dirichlet problems are derived for the rate and mean time at which contaminated particles reach a particular part of the boundary of a certain domain. These Dirichlet problems are solved asymptotically for two types of 2D-flow patterns: flow parallel to the boundary of a domain and arbitrary flow towards a well in an aquifer.
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van Kooten, J.J.A. Groundwater contaminant transport including adsorption and first order decay. Stochastic Hydrol Hydraul 8, 185–205 (1994). https://doi.org/10.1007/BF01587234
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DOI: https://doi.org/10.1007/BF01587234