AUTHORS: Jozef Kacur, Patrik Mihala
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ABSTRACT: TWe discuss the numerical modelling of contaminant transport in unsaturated porous media in 3D. The mathematical model represents water mass balance and conservation of contaminant, which is expressed by coupled non-linear system of parabolic-elliptic equations. Mathematical model for water transport in unsaturated porous media is represented by Richard?s type equation. Also diffusion of contaminant in matrix could be included. The adsorption isotherms are generally non-linear, containing the tuning parameters underlying to determination. We determine these parameters by the methods of inverse problems. A successful experiment scenario is suggested to determine the required parameters. Used complex model in 3D requires also determination of dispersion coefficients. This problem together with suitable experiment scenario is discussed too. The obtained experiments support our method. We have discussed the adsorption problem in 1D model before, but preferential streamlines in 1D thin tubes shadow accurate results in determination of required parameters.
KEYWORDS: contaminant transport, adsorption isotherms, unsaturated flow, inverse problems
REFERENCES:
[1] Bear, J. and Cheng, A. H.-D. (2010). Modeling groundwater flow and contaminant transport. Springer, 23.
[Bergman et al., 2011] Bergman, T. L., Lavine, A. S., Incropera, F. P., and DeWitt, D. P. (2011). Fundamentals of Heat and Mass Transfer. John Wiley and Sons, 7th edition.
[2] Celia, M. A., Bouloutas, E. T., and Zarba, R. L. A general mass conservative numerical solution for the unsaturated flow equation. Water Resources Research, 26(7):1483–1496.
[3] Constales, D. and Kacur, J. (2001). Determination of soil parameters ˇ via the solution of inverse problems in infiltration. Computational Geosciences, 5(1):25–46.
[4] Ka ˇ cur, J., Mihala, P., and Tóth, ˇ M. (2016). Determination of soil parameters under gravitation and centrifugal forces in 3d infiltration. WSEAS TRANSACTIONS on HEAT and MASS TRANSFER, 11:115–120.
[5] Ka ˇ cur, J. and Minar, J. ˇ (2013). A benchmark solution for infiltration and adsorption of polluted water into unsaturated saturated porous media, a solution for infiltration and adsorption. Transport in porous media, 97.
[6] Simunek, Jiri, J., Saito, H., Sakai, M., and Van Genuchten, M. (2008). The HYDRUS-1D Software Package for Simulating the One-Dimensional Movement of Water, Heat, and Multiple Solutes in Variably-Saturated Media.
