Two-Dimensional Solute Transport from a Varying Pulse-Type Point Source

Advection-diffusion equation describes transport of solute originating from a source. Dispersivity may not be uniform in a real situation. It depends upon convection through a medium; the medium is seldom homogeneous. Heterogeneous nature of a medium affects the velocity as well as dispersivity; hence the solute transport. For a large time domain in a medium of long extent, the factors other than heterogeneity may affect both the parameters. To accommodate these factors, one way is to assume velocity and dispersivity temporally dependent. Keeping these factors into consideration, a two-dimensional solute transport from a varying pulse-type point source is studied along exponentially time-dependent flow through a heterogeneous, initially solute free, semi-infinite medium. The unsteadiness of dispersivity is considered as: (i) the square of the velocity and (ii) the inverse of the velocity. The effect of lateral solute transport has been found significant. Moving source or moving input boundary condition may be considered in the future work.

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