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A fully implicit finite volume scheme for single phase flow with reactive transport in porous media

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  • Ahusborde, E.
  • El Ossmani, M.
  • Id Moulay, M.

Abstract

Single phase flow and reactive transport modelling involve solving a highly nonlinear coupled system of partial differential equations to algebraic or ordinary differential equations requiring special numerical treatment. In this paper, we propose a fully implicit finite volume method using a direct substitution approach to improve the efficiency and the accuracy of numerical computations for such systems. The approach has been developed and implemented in the framework of the parallel open-source platform DuMuX. The object oriented code allows solving reactive transport problems considering different coupling approaches. A number of 2D and 3D numerical tests were performed for verifying and demonstrating the capability of the coupled fully implicit approach for single phase flow and reactive transport in porous media. Numerical results for the reactive transport benchmark of MoMaS and long-term fate of injected CO2 for geological storage including a comparison between the direct substitution approach and the sequential iterative approach are presented. Parallel scalability is investigated for simulations with different grid resolutions.

Suggested Citation

  • Ahusborde, E. & El Ossmani, M. & Id Moulay, M., 2019. "A fully implicit finite volume scheme for single phase flow with reactive transport in porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 164(C), pages 3-23.
    • Handle: RePEc:eee:matcom:v:164:y:2019:i:c:p:3-23
    DOI: 10.1016/j.matcom.2018.09.001
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    References listed on IDEAS

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    1. Erhel, Jocelyne & Sabit, Souhila, 2017. "Analysis of a global reactive transport model and results for the MoMaS benchmark," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 137(C), pages 286-298.
    2. Jiang, Xi, 2011. "A review of physical modelling and numerical simulation of long-term geological storage of CO2," Applied Energy, Elsevier, vol. 88(11), pages 3557-3566.
    3. Ahusborde, E. & Ossmani, M. El, 2017. "A sequential approach for numerical simulation of two-phase multicomponent flow with reactive transport in porous media," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 137(C), pages 71-89.
    4. Hannes Buchholzer & Christian Kanzow & Peter Knabner & Serge Kräutle, 2011. "The semismooth Newton method for the solution of reactive transport problems including mineral precipitation-dissolution reactions," Computational Optimization and Applications, Springer, vol. 50(2), pages 193-221, October.
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