Contaminant Transport in Partially Saturated Porous Media

E. Trojáková; J. Babušíková

doi:10.4028/www.scientific.net/DDF.326-328.313

Paper Titles

Structure and Properties of Gas Nitrided Layers on Nanoflex Stainless Steel
p.291

The Influence of Chemical Composition of Stainless Steel on the Formation of Low Temperature Nitrided Layer
p.297

Recrystallization Microstructure after Annealing inside Magnetic Field
p.303

A Comparison of Thermal Dispersion Behaviour in High-Conductivity Porous Media of Various Pore Geometries
p.307

Contaminant Transport in Partially Saturated Porous Media
p.313

Experimental Analysis of the Infrared Thermography for the Thermal Characterization of a Building Envelope
p.318

Surface Quality Control of Materials Being Cut by Laser with Respect to Corrosion Resistance
p.324

Emission Distribution and Regulation of Local Heat Source
p.330

Microstructure and Mechanical Properties Evaluations of Heat Treated Dissimilar Metal Joint Weldment between API 5CT C90 and ASTM A182 F22
p.335

HomeDefect and Diffusion ForumDefect and Diffusion Forum Vols. 326-328Contaminant Transport in Partially Saturated...

Contaminant Transport in Partially Saturated Porous Media

Abstract:

We discuss the numerical modelling of unsaturated flow in porous media with contaminant transport, dispersion and adsorption. The mathematical model for unsaturated flow is based on Richard's nonlinear and degenerate equation. The model of contaminant transport is based on Darcy's law and mass balance equation. We present the operator splitting method for this problem. In nature all of the physical processes are realized simultaneously and the time scale for adsorption differs from diffusion and convection significantly. In our numerical approximation we consider three sub-problems - first one is the problem of unsaturated flow, second one the problem of transport and dispersion and third one the adsorption problem. Our numerical solution is based on implicit time discretization and space discretization. To achieve more correct numerical approximation we treat each of the sub-problems with another time scale and the data computed from one sub-problem, is the input data for the next sub-problem in each time interval. The convergence to the weak solution of the original problem is also discussed. Finally we show a couple of practical applications of the method and numerical experiments for direct problems.

You might also be interested in these eBooks

View Preview

Info:

Periodical:

Defect and Diffusion Forum (Volumes 326-328)

Pages:

313-317

DOI:

https://doi.org/10.4028/www.scientific.net/DDF.326-328.313

Citation:

Cite this paper

Online since:

April 2012

Authors:

E. Trojáková, J. Babušíková

Keywords:

Contaminant Transport, Convergence, Operator Splitting, Unsaturated Flow

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

References

[1] J. Bear and A.H.D. Cheng: Modelling groundwater flow and contaminant transport (Springer, Germany, 2010).

Google Scholar

[2] D. Constales and J. Kaur: Comp. Geosci. Vol. 5 (2004), p.25.

Google Scholar

[3] M.G. Crandal and A. Majda: Numer. Math. Vol. 34 (1980), p.285.

Google Scholar

[4] M. Remešíková: Numerical Solution of direct and inverse contaminant transport problems with adsorption (PhD. thesis, 2005).

Google Scholar

[5] E. Trojáková: Numerical modelling of convection diffusion reaction (PhD. Thesis, 2011).

Google Scholar

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

Google Scholar

[7] J. Kačur, B. Malengier and R. Van Keer: J. Anal. Appl. Vol. 28 (2009), p.305.

Google Scholar

[8] J. Kačur, B. Malengier and M. Remešíková: J. Math. Anal. Appl. Vol. 348 (2008), p.894.

Google Scholar

[9] J. Kačur, B. Malengier and P. Kišon: Numerical modelling of unsaturated-saturated flow under centrifugation with no outflow (arXiv: 1001. 1070v1[physics. comp-ph], Submitted, 2009).

DOI: 10.1007/978-3-642-30532-0_11

Google Scholar