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Numerical Analysis of Heat and Mass Transfer in Porous Media pp 297–316Cite as

Contaminant Transport in Partially Saturated Porous Media

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 27))

Abstract

We discuss the numerical modeling of unsaturated flow in porous media with contaminant transport, dispersion and adsorption. The mathematical model for unsaturated flow is based on the Richard’s nonlinear and degenerate equation. The model of contaminant transport is based on the Fick’s law and the mass balance equation. We present the operator splitting method for the numerical solution of this problem. In our numerical approximation we reduce the solution of our problem, successively along a small time interval, into three subproblems: unsaturated flow, transport and dispersion, adsorption. Our numerical solution is based on an implicit time and space discretization. The convergence of our numerical solution to the weak solution of the original problem is discussed. Finally, we demonstrate in our numerical experiments and comparisons with the benchmark solution (in 1D) the effectiveness of our method.

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Acknowledgments

The authors confirm financial support by the Slovak Research and Development Agency under the contracts APVV-0184-10 and APVV-0743-10.

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Authors and Affiliations

  1. Faculty of Mathematics, Physics and Informatics, Comenius Univerzity, Mlynska dolina, 84248, Bratislava, Slovakia

    Erika Trojakova & Jela Babusikova

Authors
  1. Erika Trojakova
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  2. Jela Babusikova
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Corresponding author

Correspondence to Jela Babusikova .

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Editors and Affiliations

  1. Universidade do Porto, Laboratorio de Fisica das, Faculdade de Engenharia, Rua Dr. Roberto Frias, Porto, 4200-465, Portugal

    J.M.P.Q. Delgado

  2. , Department of Mechanical Engineering, Federal University of Campina Grande, Campina Grande, Brazil

    Antonio Gilson Barbosa de Lima

  3. Norte, CESPU, Department of Sciences, Instituto Superior de Ciências da Saúde, Rua Central de Gandra 1317, Gandra, 4585-116, Portugal

    Marta Vázquez da Silva

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Trojakova, E., Babusikova, J. (2012). Contaminant Transport in Partially Saturated Porous Media. In: Delgado, J., de Lima, A., da Silva, M. (eds) Numerical Analysis of Heat and Mass Transfer in Porous Media. Advanced Structured Materials, vol 27. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30532-0_12

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