You are here:
SOLUTIONS APPROXIMATING SOLUTE TRANSPORT IN A LEAKY AQUIFER RECEIVING WASTEWATER INJECTION
Citation:
Chen, C. SOLUTIONS APPROXIMATING SOLUTE TRANSPORT IN A LEAKY AQUIFER RECEIVING WASTEWATER INJECTION. U.S. Environmental Protection Agency, Washington, D.C., EPA/600/J-89/102.
Description:
A mathematical model amenable to analytical solution techniques is developed for the investigation of contaminant transport from an injection well into a leaky aquifer system, which comprises a pumped and an unpumped aquifer connected to each other by an aquitard. teady state groundwater flow field is assumed, where the injected fluids move horiontally in the pumped aquifer and vertically in t]le aquitard. he unpumped aquifer is assumed to remain in hydrostatic condition due to its large transmissity. Descriptions of groundwater velocities are based on appropriate leaky aquifer welll hydraulics. he model assumes that contaminants are transmit ted in the pumped aquifer by radial advection, and in the aquitard by vertical one-dimensional advection and longitudinal dispersion. wo coupled linear differential equations are formulated to deal with this transport problem; they involve variable coefficients dependent on Bessel functions. The unpunped aquifer is incorporated into the model as a boundary condition. emianalytical transient solutions for concentration distributions in the pumped aquifer and the aqui tard can be obtained by numerically inverting the Laplace domain solutions of the model with the Crump (1976) method. owever, the steady state solutions of the model are determined in closed forms. n general, the modeling approach neglecting longitudinal dispersion in the pumped aquifer and lateral dispersion in the aquitard does not introduce significant error to the modelling results, as shown by the good agreement between numerical solutions and the solutions of the proposed model.