Penetration Model for Dynamic Permeability Analysis

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Abstract
A generalized one‐dimensional discrete interface penetration model is presented for fluid propagation through a reactive porous medium during constant head infiltration. The model has been formulated to predict the consequences of changes in hydraulic conductivity produced by strong chemical interactions between the solid and fluid phases as a reacting fluid front advances. Analytical solutions are presented for the resulting transient potential gradients, interface locations, and volumetric flux response. Solution type curves are presented to illustrate the typical response of several reaction/interaction mechanisms. Characteristic laboratory responses are also discussed. The model is shown to be capable of reproducing commonly observed laboratory results and may provide insight into the mechanisms most responsible for hydraulic conductivity fluctuations. Although the analysis is based on relatively simple phenomenological assumptions, these results should also offer a logical point of departure for more detailed mechanistic modeling.