Analysis of DNAPL Infiltration in a Medium with a Low-Permeable Lens

摘要

In this paper the authors study the infiltration of DNAPL in a porous mediumcontaining a single low-permeable lens. Their aim is to determine whether DNAPL infiltrates into the lens, or not. Both homogeneous medium and a medium with a lens are analyzed. For the homogeneous configuraton, they derived an estimate of the stationary DNAPL plume width as a function of depth, and an asymptotic solution for small saturations. For the configuration with a lens, they assume that the lens is much larger than the width of the unperturbed DNAPL plume in the homogeneous medium. They show that DNAPL infiltrates into the lens if a critical inflow rate is exceeded. A numerical algorithm is presented in which the extended capillary pressure condition is incorporated.