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Efficient Modeling of Flow and Transport in Porous Media Using Multi-physics and Multi-scale Approaches

In: Handbook of Geomathematics

Author

Listed:
  • Rainer Helmig

    (Institute of Hydraulic Engineering, University of Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems)

  • Bernd Flemisch

    (Institute of Hydraulic Engineering, University of Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems)

  • Markus Wolff

    (Institute of Hydraulic Engineering, University of Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems)

  • Benjamin Faigle

    (Institute of Hydraulic Engineering, University of Stuttgart, Department of Hydromechanics and Modeling of Hydrosystems)

Abstract

Flow and transport processes in porous media including multiple fluid phases are the governing processes in a large variety of geological and technical systems. In general, these systems include processes of different complexity occurring in different parts of the domain of interest. The different processes mostly also take place on different spatial and temporal scales. It is extremely challenging to model such systems in an adequate way accounting for the spatially varying and scale-dependent character of these processes. In this work, we give a brief overview of existing upscaling, multi-scale, and multi-physics methods, and we present mathematical models and model formulations for multiphase flow in porous media including compositional and non-isothermal flow. Finally, we show simulation results for two-phase flow using a multi-physics and a multi-scale method.

Suggested Citation

  • Rainer Helmig & Bernd Flemisch & Markus Wolff & Benjamin Faigle, 2015. "Efficient Modeling of Flow and Transport in Porous Media Using Multi-physics and Multi-scale Approaches," Springer Books, in: Willi Freeden & M. Zuhair Nashed & Thomas Sonar (ed.), Handbook of Geomathematics, edition 2, pages 703-749, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-54551-1_15
    DOI: 10.1007/978-3-642-54551-1_15
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