One-dimensional solute transport ina permeable reactive barrier-aquifer system

Transient semianalytical and steady state analytical solutions to assess solute transport in a permeable reactive barrier (PRB)-aquifer system are developed on the basis of a multidomain approach of an up-gradient PRB and a down-gradient aquifer. Sensitivity analysis of input parameters in the solution is addressed through mathematical modeling. A designing equation from the developed steady state closed-form analytical solution is derived, and the accuracy of the equation is tested. The results confirm that the thickness and the first-order reaction capability of the PRB are two of the most important design considerations. Through sensitivity analysis, the reduction of the reactive capability of the PRB has a significant impact on the PRB performance. The aquifer reaction capability is found to be nonnegligible for the determination of the required thickness of the PRB, and its importance becomes greater when the PRB porosity becomes smaller because of mineral fouling.