Kamakura, Japan

## Exact Solution for Two-Phase Flow in Porous Medium with a Material Discontinuity [testing]

This is the online implementation of the 1D integral solution of two-phase flow in porous media with a material discontinuity Fučík et al. (2008). Please, cite our work (see references below).

# Parameters

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Model selection

Model selection

 Fluid properties $\mu_w$ [kg/m/s] dynamic viscosity of the wetting phase $\mu_n$ [kg/m/s] dynamic viscosity of the non-wetting phase Material properties Left domain $x<0$ Right domain $x>0$ $\phi$ [1] porosity $K$ [m$^2$] intrinsic permeability $S_{wr}$ [1] residual saturation of the wetting phase $S_{nr}$ [1] residual saturation of the non-wetting phase $S_i$ [1] initial saturation Brooks and Corey model parameters Left domain $x<0$ Right domain $x>0$ $p_d$ [Pa] Brooks and Corey model parameter: entry pressure $\lambda$ [1] Brooks and Corey model parameter: pore size distribution index van Genuchten mode parameters Left domain $x<0$ Right domain $x>0$ $\alpha$ [1/Pa] van Genuchten model parameter $m$ [1] van Genuchten model parameter $n$ [1] van Genuchten model parameter Problem parameters $R$ [1] flux parameter $t$ [s] the solution will be plotted and exported at this time Computation parameters nodes length of the discrete vector max_iter maximum number of iterations $\epsilon$ stopping criterion of the iterations

# References

• pdf R.Fučík, J. Mikyška, T. H. Illangasekare and M. Beneš: Semianalytical Solution for Two-Phase flow in Porous Media with a Discontinuity Vadose Zone Journal 2008 vol. 7, no. 3: pages 1001-1009
• pdf R.Fučík, J. Mikyška, T. H. Illangasekare and M. Beneš: An Improved Semi-Analytical Solution for Verification of Numerical Models of Two-Phase Flow in Porous Media Vadose Zone Journal 2007 no. 6: pages 93-104
pdf (1,01 MB) corrected version