oalogo2  

AUTHOR(S):

Jozef Kacur, Patrik Mihala, Michal Tóth

 

TITLE

Solution of Some Inverse Problems for Heat and Mass Transport in Unsaturated Porous Media

pdf PDF

ABSTRACT

We discuss the numerical modeling of heat and water transport in unsaturated-saturated porous media with heat exchange between the infiltrated water and porous media matrix. An unsaturated-saturated flow is considered with boundary conditions reflecting the external driven forces. The developed numerical method is efficient and can be used for solving inverse problems concerning determination of hydraulic soil parameters, dispersion coefficients and transmission coefficients for heat energy exchange. Numerical experiments support our method.

KEYWORDS

porous media infiltration, water and heat transport, heat energy exchange, numerical modeling of nonlinear system

REFERENCES

[1] J. Bear, A. H.-D. Cheng "Modeling Groundwater Flow and Contaminant Transport", Springer 2010, V.23 .

[2] D. Constales, J. Kaˇcur: Determination of soil parameters via the solution of inverse problems in infiltration. Computational Geosciences 5 (2004), p. 25-46.

[3] J. Šimunek, M. Šejna, H. Saito, M. Sakai, M. Th. van Genuchten: The Hydrus-1D Software Package for Simulating the Movement of Water, Heat, and Multiple Solutes in Variably Saturated Media. 2013.

[4] J. Šimunek, J. R. Nimo: Estimating soil hydraulic parameters from transient flow experiments in a centrifuge using parameter optimization technique. Water Resour. Res. 41, W04015 (2005).

[5] M. A. Celia, Z. Bouloutas: A general massconservative numerical solution for the unsaturated flow equation. Water Resour. Res. 26 (1990), p. 1483-1496.

[6] J. Kaˇcur, P. Mihala, M. Tóth: Determination of soil parameters under gravitation and centrifugal forces in 3D infiltration. Vseas transactions on heat and mass tranfer, Vol. 11, (2016), p. 115- 120.

[7] D. Constales, J. Kaˇcur, B. Malengier: A precise numerical scheme for contaminant transport in dual-well flow. Water Resources Research, vol. 39(10), (2003), ..- 1303,

[8] J. Kaˇcur , J. Minár: A benchmark solution for infiltration and adsorption of polluted water into unsaturated-saturated porous media, Transport in porous media, vol. 97, (2013), p. 223-239.

[9] T. L. Bergman, A. S. Lavine, F. P. Incropera, D. P. Dewitt: Fundamentals of heat and mass transfer, John Wiley and Sons, 7th edition, (2011), ISBN 13 978-0470-50197-9.

Cite this paper

Jozef Kacur, Patrik Mihala, Michal Tóth. (2017) Solution of Some Inverse Problems for Heat and Mass Transport in Unsaturated Porous Media. International Journal of Theoretical and Applied Mechanics, 2, 85-91

 

cc.png
Copyright © 2017 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0