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EfficientModeling of Flow and Transport in Porous Media Using Multiphysics andMultiscale Approaches

In: Handbook of Geomathematics

Author

Listed:
  • Rainer Helmig

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

  • Jennifer Niessner

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

  • Bernd Flemisch

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

  • Markus Wolff

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

  • Jochen Fritz

    (Institute of Hydraulic Engineering, Universität 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 chapter, we give a brief overview of existing upscaling, multiscale, and multiphysics 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 multiphysics method and a multiscale multiphysics algorithm.

Suggested Citation

  • Rainer Helmig & Jennifer Niessner & Bernd Flemisch & Markus Wolff & Jochen Fritz, 2010. "EfficientModeling of Flow and Transport in Porous Media Using Multiphysics andMultiscale Approaches," Springer Books, in: Willi Freeden & M. Zuhair Nashed & Thomas Sonar (ed.), Handbook of Geomathematics, chapter 15, pages 417-457, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-01546-5_15
    DOI: 10.1007/978-3-642-01546-5_15
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