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Infiltration Simulation in Porous Media: A Universal Functional Solution for Unsaturated Media

In: Integral Methods in Science and Engineering, Volume 2

Author

Listed:
  • I. C. Furtado

    (Federal University of Rio Grande do Sul)

  • B. E. J. Bodmann

    (Federal University of Rio Grande do Sul)

  • M. T. Vilhena

    (Federal University of Rio Grande do Sul)

Abstract

In this paper, we consider a transient vertical one-dimensional flow problem of water in unsaturated porous media, modelled by the nonlinear Richards equation. Constitutive relations of Van Genuchten are employed to represent the hydraulic capacity and conduction. The solution formula is optimised and evaluated using the governing equation for a self-consistency criterion. The results are presented for some soil types and its related soil parameters that are reported in the literature.

Suggested Citation

  • I. C. Furtado & B. E. J. Bodmann & M. T. Vilhena, 2017. "Infiltration Simulation in Porous Media: A Universal Functional Solution for Unsaturated Media," Springer Books, in: Christian Constanda & Matteo Dalla Riva & Pier Domenico Lamberti & Paolo Musolino (ed.), Integral Methods in Science and Engineering, Volume 2, chapter 0, pages 85-95, Springer.
  • Handle: RePEc:spr:sprchp:978-3-319-59387-6_9
    DOI: 10.1007/978-3-319-59387-6_9
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