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Convection Structures of Binary Fluid Mixtures in Porous Media

  • Matthias Augustin
  • Rudolf Umla
  • Manfred Lücke
Reference work entry

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.

Keywords

Porous Medium Stability Boundary Concentration Field Lewis Number Lateral Profile 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  • Matthias Augustin
    • 1
  • Rudolf Umla
    • 2
  • Manfred Lücke
    • 3
  1. 1.Geomathematics GroupUniversity of KaiserslauternKaiserslauternGermany
  2. 2.BP Exploration Operating Company LimitedSunbury on ThamesUK
  3. 3.Institut für Theoretische PhysikUniversität des SaarlandesSaarbrückenGermany

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