Determining analytic solutions of multiple species contaminant transport, with sorption and decay

Analytic solutions play an important role in the testing of models evaluated by numerical methods. This paper presents a straight forward method for determining analytic solutions to multiple species contaminant transport problems in porous media. The method uses Fourier sine transforms (as opposed to Laplace transforms) to obtain the solution of Cho (1970, Can. J. Soil. Sci., 51: 339–350) in a simpler way. It provides a flexible approach to the introduction of new boundary and initial conditions within the model. New solutions are presented for constant and exponential initial contaminant profiles.