Analytical solutions of three-dimensional contaminant transport in uniform flow field in porous media: A library |
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Authors: | Hongtao Wang and Huayong Wu |
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Affiliation: | (1) Department of Environmental Science and Engineering, Tsinghua University, Beijing, 100084, China |
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Abstract: | The purpose of this study is to present a library of analytical solutions for the three-dimensional contaminant transport in uniform flow field in porous media with the first-order decay, linear sorption, and zero-order production. The library is constructed using Green’s function method (GFM) in combination with available solutions. The library covers a wide range of solutions for various conditions. The aquifer can be vertically finite, semi-infinitive or infinitive, and laterally semi-infinitive or infinitive. The geometry of the sources can be of point, line, plane or volumetric body; and the source release can be continuous, instantaneous, or by following a given function over time. Dimensionless forms of the solutions are also proposed. A computer code FlowCAS is developed to calculate the solutions. Calculated results demonstrate the correctness of the presented solutions. The library is widely applicable to solve contaminant transport problems of one- or multiple- dimensions in uniform flow fields. |
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Keywords: | solution library contaminant transport analytical solution dispersion and advection porous media type curve Green’ s function method (GFM) |
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