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Convection Structures of Binary Fluid Mixtures in Porous Media

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Abstract

The study of convection patterns of binary mixtures in a porous medium plays an important role for modeling geothermal reservoirs as well as for many more industrial applications. Making use of a global Galerkin method allows to numerically determine in an efficient way various convection structures. The aim of this chapter is to describe the structural properties of these flow patterns, their bifurcation behavior, and stability against infinitesimal perturbations. The Soret effect, i.e., the generation of concentration gradients by temperature gradients, is taken into account and leads to several patterns with distinct features. We focus on those patterns that are of primary importance near the onset of convection; these include roll, crossroll, and square convection as well as traveling waves of convection rolls.

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Author information

Authors and Affiliations

  1. Geomathematics Group, University of Kaiserslautern, Rhineland-Palatinate, Germany

    Matthias Augustin

  2. BP Exploration Operating Company Limited, Sunbury on Thames, UK

    Rudolf Umla

  3. Institut für Theoretische Physik, Universität des Saarlandes, D-66401, 151150, Saarbrücken, Germany

    Manfred Lücke

Authors
  1. Matthias Augustin
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  2. Rudolf Umla
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  3. Manfred Lücke
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Corresponding author

Correspondence to Matthias Augustin .

Editor information

Editors and Affiliations

  1. Geomathematische Gruppe, TU Kaiserslautern FB Mathematik, Kaiserslautern, Germany

    Willi Freeden

  2. University of Central Florida Dept. Mathematics, Orlando, Florida, USA

    M. Zuhair Nashed

  3. Inst. Analysis, TU Braunschweig FB 1 Mathematik und Informatik, Braunschweig, Germany

    Thomas Sonar

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Augustin, M., Umla, R., Lücke, M. (2014). Convection Structures of Binary Fluid Mixtures in Porous Media. In: Freeden, W., Nashed, M., Sonar, T. (eds) Handbook of Geomathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27793-1_75-2

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  • DOI: https://doi.org/10.1007/978-3-642-27793-1_75-2

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  • Online ISBN: 978-3-642-27793-1

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Chapter history

  1. Latest

    Convection Structures of Binary Fluid Mixtures in Porous Media
    Published:
    06 January 2015

    DOI: https://doi.org/10.1007/978-3-642-27793-1_75-2

  2. Original

    Convection Structures of Binary Fluid Mixtures in Porous Media
    Published:
    04 September 2014

    DOI: https://doi.org/10.1007/978-3-642-27793-1_75-1

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