New Parameters for Solution of Two-Well Dispersion Problem

New parameters are presented for the analytical solution of the dispersion problem in two-well injection withdrawal systems. The new expressions are derived to parallel the a and b parameters presented by Hoopes and Harleman. These two parameters are the dimensionless time required for a tracer to move from the recharge well to any point along a streamline and the spread of the tracer distribution with respect to the mean travel time, respectively. The previously published parameters are found to be correct only in a special case (points on the line connecting the two wells). Validation of the new parameters is compared with a numerical integration scheme using Simpsonʹs rule.