Exact Analytical Solutions for Contaminant Transport in Rivers

Contaminant transport processes in streams, rivers, and other surface water bodies can be analyzed or predict- ed using the advection-dispersion equation and related transport models. In part 1 of this two-part series we presented a large number of one- and multi-dimensional analytical solutions of the standard equilibrium advection-dispersion equa- tion (ADE) with and without terms accounting for zero-order production and first-order decay. The solutions are extend- ed in the current part 2 to advective-dispersive transport with simultaneous first-order mass exchange between the stream or river and zones with dead water (transient storage models), and to problems involving longitudinal advective- dispersive transport with simultaneous diffusion in fluvial sediments or near-stream subsurface regions comprising a hyporheic zone. Part 2 also provides solutions for one-dimensional advective-dispersive transport of contaminants sub- ject to consecutive decay chain reactions.