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On the construction of a functional solution method for the infiltration in porous media problems

Author

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  • Furtado, I.C.
  • Bodmann, B.E.J.
  • de Vilhena, M.T.

Abstract

In this paper, we consider a transient vertical one-dimensional flow problem of water in unsaturated porous media, modelled by the non-linear Richards equation. Constitutive relations of Van Genuchten will be employed and Padé approximants are used to represent the hydraulic capacity and conduction in a simplified fashion. From the proposed methodology a construction of a functional solution is presented with the objective to define an initialisation of a recursive scheme in the spirit of Adomian decomposition. This solution is optimised and evaluated using the governing equation for a self-consistency test. The results are presented for some soil types and its related soil parameters, that are reported in the literature.

Suggested Citation

  • Furtado, I.C. & Bodmann, B.E.J. & de Vilhena, M.T., 2016. "On the construction of a functional solution method for the infiltration in porous media problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 450(C), pages 18-29.
    • Handle: RePEc:eee:phsmap:v:450:y:2016:i:c:p:18-29
    DOI: 10.1016/j.physa.2015.12.099
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    Cited by:

    1. Miglena N. Koleva & Lubin G. Vulkov, 2024. "Numerical Identification of Boundary Conditions for Richards’ Equation," Mathematics, MDPI, vol. 12(2), pages 1-23, January.

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