Open AccessSemianalytical Solution for Two‐Phase Flow in Porous Media with a Discontinuity
Author(s) -
Fučík Radek,
Mikyška Jirí,
Beneš Michal,
Illangasekare Tissa H.
Publication year - 2008
Publication title -
vadose zone journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.036
H-Index - 81
ISSN - 1539-1663
DOI - 10.2136/vzj2007.0155
Subject(s) - discontinuity (linguistics) , porous medium , uniqueness , multiphase flow , benchmark (surveying) , advection , flow (mathematics) , diffusion , aquifer , computer science , mathematics , mechanics , porosity , mathematical optimization , geology , geotechnical engineering , mathematical analysis , thermodynamics , physics , groundwater , geodesy
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.