Numerical modeling of contaminant transport is a useful tool applied to ground water investigations at industrial sites, not only in delineating the geographical extent of the contaminant plume, but in evaluating remedial schemes intended to mitigate the contamination problem. Transport processes, mathematical models, and recovery schemes are reviewed in this thesis, as a preface to the main study, the application of the USGS Solute Transport Model to a site contaminated by trichloroethylene and other industrial solvents. The USGS model, which utilizes the finite difference technique and the method of characteristics, was applied in its two-dimensional, steady-state form. At the study site, the model gave a good prediction of the movement of the contaminant plume and on the performance of a recovery system, when the results were compared with field data. It predicted that four withdrawal wells would reduce trichloroethylene concentrations in the ground water by approximately 99 percent, after two years of pumping.