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Multiphase Processes in Porous Media

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Multifield Problems in Solid and Fluid Mechanics

Part of the book series: Lecture Notes in Applied and Computational Mechanics ((LNACM,volume 28))

Summary

Models for multiphase flow in porous media are widespread today and can be found in many places in science and engineering. More complex multiphase-multicomponent models that even allow phase changes to occur need sophisticated numerical algorithms. Research in this area has been very successful with a versatile result.

Another challenge are simulations on the field scale. Here the idea of upscaling is a very promising concept. In these models the necessary amount of details is limited while they still preserve the ability to forecast the interesting information. New effects arise like the direction-dependence of permeabilities.

For the latter a new mathematical description and new numerical fluxes with new properties have been constructed. The fluxes are based upon two- and multi-point flux approximations. To perform tests a heterogeneous Buckley-Leverett-problem has been set up and solved quasi-analytically using the method of characteristics. The utilizability of the numerical fluxes is then demonstrated by application to a test-problem.

Unfortunately the concept of upscaling cannot be applied in general. There are problem classes where processes from the finer scale have to be integrated in more detail by solving local subproblems on that scale. This multi-scale approach is the future orientation of the project.

Research Project A3 “Multiphase Processes in Porous Media”

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Author information

Authors and Affiliations

  1. Institute of Hydraulic Engineering, Chair of Hydromechanics and Modeling of Hydrosystems, University of Stuttgart, Pfaffenwaldring 61, 70569, Stuttgart, Germany

    Holger Class, Rainer Helmig, Jennifer Niessner & Ulrich Ölmann

Authors
  1. Holger Class
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  2. Rainer Helmig
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  3. Jennifer Niessner
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  4. Ulrich Ölmann
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Editor information

Editors and Affiliations

  1. Institut für Wasserbau, Hydromechanik und Hydrosystemmodellierung, Universität Stuttgart, Pfaffenwaldring 61, 70569, Stuttgart, Germany

    Rainer Helmig

  2. Weierstraß-Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, 10117, Berlin, Germany

    Alexander Mielke

  3. Institut für Angewandte Analysis und Numerische Simulation, Universität Stuttgart, Pfaffenwaldring 57, 70569, Stuttgart, Germany

    Barbara I. Wohlmuth

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Class, H., Helmig, R., Niessner, J., Ölmann, U. (2006). Multiphase Processes in Porous Media. In: Helmig, R., Mielke, A., Wohlmuth, B.I. (eds) Multifield Problems in Solid and Fluid Mechanics. Lecture Notes in Applied and Computational Mechanics, vol 28. Springer, Berlin, Heidelberg . https://doi.org/10.1007/978-3-540-34961-7_2

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  • DOI: https://doi.org/10.1007/978-3-540-34961-7_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34959-4

  • Online ISBN: 978-3-540-34961-7

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