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  • Upscaling non-Darcy flow using mixed finite element method

    Creator:
    Garibotti, Cristiano Rodrigues
    Abstract:
    In this paper we develop an upscaling technique for non-Darcy flow in porous media. Non-Darcy model of flow applies to flow in porous media when large velocities occur. The well-posedness results for theory of quasilinear elliptic partial differential equations. To discretize the model we used lowest order Raviart-Thomas mixed finite...
    Resource Type:
    Masters Thesis
    Full Text:
    this paper we develop an upscaling technique for non-Darcy flow in porous media. Non-Darcy model of

  • Multiscale analysis of saturated flow in a porous medium with an adjacent thin channel

    Creator:
    Morales, Fernando A.
    Abstract:
    This thesis contains three parts addressing the asymptotic analysis of fluid flow through fully saturated porous medium in the presence of an adjacent thin channel. In the first part the problem is modeled by Darcy's law in both the porous medium and in the channel. The permeability in the channel...
    Resource Type:
    Dissertation
    Full Text:
    - ciple. A fully-coupled model with a lower dimensional interface problem is obtained in the limit as an