Semianalytical Solution for Two-Phase Flow in Porous Media with a Discontinuity
- Radek Fučíka,
- Jirí Mikyškaa,
- Michal Beneš *a and
- Tissa H. Illangasekareb
- a Dep. of Mathematics, Faculty of Nuclear Science and Physical Engineering, Czech Technical Univ., Trojanova 13, 120 00 Prague, Czech Republic
b Center for Experimental Study of Subsurface Environmental Processes (CESEP), Div. of Environmental Science and Engineering, Colorado School of Mines, 1500 Illinois St., Golden CO 80401
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.Please view the pdf by using the Full Text (PDF) link under 'View' to the left.
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