TY - JOUR ID - RadekFucik08132008 T1 - Semianalytical Solution for Two-Phase Flow in Porous Media with a Discontinuity A1 - Fučík, Radek A1 - Mikyška, Jiří A1 - Beneš, Michal A1 - Illangasekare, Tissa H. JA - Vadose Zone Journal Y1 - 2008 VL - 7 IS - 3 SP - 1001 EP - 1007 UR - http://vzj.scijournals.org/cgi/content/abstract/vadzone;7/3/1001 M2 - doi: 10.2136/vzj2007.0155 N2 - We present a benchmark solution 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 diffusion term was considered in their models. The proposed solution allows the inclusion of advection terms in a limited way. This solution is useful in the verification of more complex numerical models of multiphase flow developed for general applications involving heterogeneous aquifers. A derivation of the semianalytical solution for heterogeneous porous media is presented and its existence and uniqueness are discussed. A computationally efficient algorithm and several computational results are presented. M1 - eprint={http://vzj.scijournals.org/cgi/reprint/vadzone;7/3/1001.pdf} ER -