Abstract

The paper presents certain nonclassical analytical solutions for describing the one‐dimensional advective transport of a chemical or a contaminant in a fluid‐saturated porous medium. The advective transport is induced by potential flow. The nonclassical nature stems from the influences of time‐dependent boundary concentrations, time‐dependent flow velocities, and the presence of natural attenuation. These analytical results are novel and provide a useful set of solutions for benchmarking computational schemes that have been developed in the literature for solving transport of chemicals and contaminants in fluid‐saturated porous media.

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