Kamakura, Japan

## Multidimensional Exact Solution of Two-Phase Flow in Porous Media

This is the online implementation of the d-dimensional integral solution of two-phase flow in porous media by Fučík et al. (submitted). Please, cite our work (see references below).

# Parameters

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Model selection

Model selection

 Material properties $\phi$ [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 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 Brooks and Corey model parameters $p_d$ [Pa] Brooks and Corey model parameter: entry pressure $\lambda$ [1] Brooks and Corey model parameter: pore size distribution index van Genuchten mode parameters $\alpha$ [1/Pa] van Genuchten model parameter $m$ [1] van Genuchten model parameter $n$ [1] van Genuchten model parameter Problem parameters d dimension (can be any real number $\geq 2$) $A$ [$m^{d}s^{-\frac{d}{2}}$] injection rate constant $S_i$ [1] initial saturation $t$ [s] the solution will be plotted and exported at this time nodes length of the discrete vector $\epsilon_{g}$ stopping criterion of the bisection method max_glob_iter maximum number of iterations for the bisection method $\epsilon$ stopping criterion of local iterations max_iter maximum number of local iterations

# References

• pdf R. Fučík, T. H. Illangasekare, and M. Beneš Multidimensional self-similar analytical solutions of two-phase flow in porous media, Advances in Water Resources, in press, 2016.
• 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