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@ARTICLE{RadekFucik08132008,
    author = {Fu{\v c}{\'{\i}}k, Radek and Miky{\v s}ka, Jiř{\'{\i}} and Bene{\v s}, Michal and Illangasekare, Tissa H.},
     title = {Semianalytical Solution for Two-Phase Flow in Porous Media with a Discontinuity},
   journal = {Vadose Zone Journal},
    volume = {7},
    number = {3},
      year = {2008},
     pages = {1001-1007},
       url = {http://vzj.scijournals.org/cgi/content/abstract/vadzone;7/3/1001},
       doi = {10.2136/vzj2007.0155},
  abstract = {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.},
eprint={http://vzj.scijournals.org/cgi/reprint/vadzone;7/3/1001.pdf},
}