Solution of Direct and Inverse Problems for Infiltration and Contaminant Adsorption in Partially Saturated Porous Media

Jozef Kačur; J. Minár

doi:10.4028/www.scientific.net/DDF.354.129

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Solution of Direct and Inverse Problems for Infiltration and Contaminant Adsorption in Partially Saturated Porous Media

Abstract:

We discuss the numerical modelling of unsaturated-saturated flow in porous media and contaminant transport with adsorption in 1D. We developed an efficient numerical approximation which is a good candidate for solving inverse problems involving the determination of model parameters (hydraulic and geochemical). Also an adsorption/desorption model for mass transfer through the boundary of porous media (contact solid-liquid) is discussed, too. Our numerical solution is based on the MOL method where space discretization leads to the corresponding system of ODE. To collect the measurement data for inverse problems we consider both the gravitational and centrifugal infiltration driven forces. In series of numerical experiments we demonstrate the effectiveness of our method.

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Periodical:

Defect and Diffusion Forum (Volume 354)

Pages:

129-143

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.354.129

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Online since:

June 2014

Authors:

Jozef Kačur*, J. Minár

Keywords:

Contaminant Transport, Numerical Model, Porous Media, Unsaturated-Saturated

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References

[1] J. Bear, A. H.-D.Cheng: Modeling Groundwater flow and Contaminant Transport (Springer, ISBN 978-1-4020-6681-8).

Google Scholar

[2] D. Constales, J. Kacur: Computational Geosciences, Vol. 5 (2004), p.25

Google Scholar

[3] D. Constales, J. Kacur, B. Malengier: Water Resources Research, Vol. 39 (2003), p.1303

Google Scholar

[4] J. Kacur, B. Malengier, P.Kison: Transport in Porous Media, Vol. 87(2011), p.793

Google Scholar

[5] O.Vitrac, M.Hayert: Ind. Eng. Chem. Res., Vol. 45 (2006), p.7941.

Google Scholar

[6] O.Vitrac, M.Hayert: AIChE J. Vol. 51 (2005), p.1080.

Google Scholar

[7] J. Kačur, B. Malengier, P. Kišon: Mathematical Problems in Engineering, Vol. 2011 (2011), 23p.

Google Scholar

[8] J. Šimunek, Šejna, M.T.van Genuchten, The HYDRUS-1D software package for simulating the one-dimensional movement of water, heat, and multiple solutes in variably/saturated media, version 2.0, Rep. IGWMC-TPS-70, 202 pp., Int. Groundwater Model. Cent., Colo.Sch of Mines, Golden, Colo

Google Scholar

[9] J.Kacur, J.Minar: Transport in Porous Media, Vol. 97 (2013), p.223.

Google Scholar

[10] P. Knabner, C.J. van Duijn: Journal fur die Reine and Angewandte Mathematic, Vol. 415 (1995), p.1

Google Scholar

[11] M. Th. van Genuchten:. Soil Sci. Soc. Am. J, Vol. 44 (1980), p.892

Google Scholar

[12] J.Kacur, J.Minar, H.Budacova: Thr Modeling and Computation for Flow and Transport (2013), Summitted.

Google Scholar