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NUMERICAL MODELING OF CONTAMINANT TRANSPORT IN FRACTURED POROUS MEDIA USING MIXED FINITE-ELEMENT AND FINITEVOLUME METHODS

Volumen 14, Edición 3, 2011, pp. 219-242
DOI: 10.1615/JPorMedia.v14.i3.30
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SINOPSIS

A mathematical model for contaminant species passing through fractured porous media is presented. In the numerical model, we combine two locally conservative methods; i.e., the mixed finite-element (MFE) method and the finite-volume method. Adaptive triangle mesh is used for effective treatment of the fractures. A hybrid MFE method is employed to provide an accurate approximation of velocity fields for both the fractures and matrix, which are crucial to the convection part of the transport equation. The finite-volume method and the standard MFE method are used to approximate the convection and dispersion terms, respectively. The temporary evolution for the pressure distributions, streamline fields, and concentration profiles are obtained for six different arrangements of fractures. The results clearly show the distorted concentration effects caused by the ordered and disordered (random) patterns of the fractures and illustrate the robustness and efficiency of the proposed numerical model.

CITADO POR
  1. Sun Shuyu, Salama Amgad, El-Amin M.F., An Equation-Type Approach for the Numerical Solution of the Partial Differential Equations Governing Transport Phenomena in Porous Media, Procedia Computer Science, 9, 2012. Crossref

  2. Sun Shuyu, Salama Amgad, El Amin M.F., Matrix-oriented implementation for the numerical solution of the partial differential equations governing flows and transport in porous media, Computers & Fluids, 68, 2012. Crossref

  3. Chen Huangxin, Salama Amgad, Sun Shuyu, Adaptive mixed finite element methods for Darcy flow in fractured porous media, Water Resources Research, 52, 10, 2016. Crossref

  4. Chen Huangxin, Sun Shuyu, A residual-based a posteriori error estimator for single-phase Darcy flow in fractured porous media, Numerische Mathematik, 136, 3, 2017. Crossref

  5. Kondratenko Petr S., Matveev Leonid V., Vasiliev Alexander D., A new algorithm for numerical modelling of impurity transport in the frame of statistically homogeneous sharply contrasting media, Russian Journal of Numerical Analysis and Mathematical Modelling, 34, 6, 2019. Crossref

  6. Kondratenko Peter S., Matveev Alexander L., Vasiliev Alexander D., Numerical implementation of the asymptotic theory for classical diffusion in heterogeneous media, The European Physical Journal B, 94, 2, 2021. Crossref

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