Semianalyü cal Soluü on for Two-Phase Flow in Porous Media with a Disconü nuity
Tissa H. Illangasekare · 2008
We present a benchmark soluƟ on for one-dimensional porous media with heterogeneity involving two soils separated by a sharp interface. A similar problem was discussed previously by other researchers; however, only a diff usion term was considered in their models. The proposed soluƟ on allows the inclusion of advecƟ on terms in a limited way. This soluƟ on is useful in the verifi caƟ on of more complex numerical models of mulƟ phase fl ow developed for general applicaƟ ons involving heterogeneous aquifers. A derivaƟ on of the semianalyƟ cal soluƟ on for heterogeneous porous media is presented and its existence and uniqueness are discussed. A computaƟ onally effi cient algorithm and several computaƟ onal results are presented.