Abstract
The present paper analytically discusses a theoretical model of groundwater replenishment in a cracked porous medium, with simultaneous occurrence of the phenomena of fingering and imbibition under certain conditions. We assume that the injection of water bodies is initiated by imbibition, and the ‘injected’ and ‘native’ water form two immiscible liquid phases of different salinities with small viscosity difference [Bear and Martin, 1965]. If we consider only the average behavior of fingering, we solve the nonlinear differential equation by a perturbation technique. An expression for the average cross‐sectional area occupied by fingers has been obtained.
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