IMPROVED FINITE-ANALYTIC METHODS FOR STEADY-STATE TRANSPORT PROBLEMS

In this paper, an improved finite-analytic method is developed for sol ving solute transport problems. Specifically, a new local boundary app roximation and an alternative technique are introduced for deriving th e local analytical solution that simplifies the finite-analytic formul ation and eliminates the infinite series in the finite-analytic coeffi cients. The improved finite analytic method is applied to simulate sol ute transport in strongly heterogeneous two-dimensional velocity field s. The results show that the improved method is (1) as accurate as the existing one if using the same local boundary approximation despite t he dramatic simplification; and (2) significantly more accurate than t he existing one if using the improved boundary approximation. The impr oved finite-analytic method provides an efficient, robust, and accurat e approach for predicting steady-state transport in heterogeneous velo city fields.