Non-Darcian flow toward an injection well fully penetrating a leaky confined aquifer with clogging-induced permeability reduction
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AbstractManaged aquifer recharge (MAR) using aquifer injection wells is generally developed with the validity of Darcy's law and assumption of a constant hydraulic conductivity, hence ignoring the nonDarcian nature of groundwater flow and the spatiotemporal permeability reduction owing to well and aquifer clogging. In this study, an Izbash's lawbased analytical model is proposed for constantrate recharge (CRR) and constanthead recharge (CHR) with special consideration of well and aquifer clogging using a timedependent hydraulic conductivity (K) function. By means of linearization approximations, variable substitutions and Hankel and Weber transforms, approximate analytical solutions for the model are derived. The earlytime and latetime solutions and the steadystate solutions are also derived using the developed approximate solutions. A comparison with numerical solutions indicates that the approximate solutions are highly accurate except during the short period of initial recharge stage. Then, a semilog graphic approach based on the developed solutions is tendered for estimating parameters associated with the clogging effect and nonDarcian aquifer property. The proposed model offers a straightforward way for the quantitative assessment of the nonDarcian flow dynamics in confined aquifers experiencing clogging and can be adopted for the estimation and prediction of cloggingrelated permeability reduction in MAR using aquifer injection wells.
