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Self-Organization in Far-from-Equilibrium Reactive Porous Media Subject to Reaction Front Fingering

  • P. Ortoleva
  • W. Chen
Part of the NATO ASI Series book series (NSSE, volume 183)

Abstract

When a porous medium constituted of grains that may dissolve or grow is subject to a flow-through of reactive fluids it may display a variety of self-organization phenomena. The system may support reaction fronts that can become morphologically unstable to the formation of scalloping, fingering and dendrites that themselves can become unstable to the generation of smaller spatial scale structure. The purpose of the present article is to introduce the reader to the physics and chemistry of these systems, the mathematical reaction-transport models that have been used to describe them and to the types of pattern formation that can arise. Our focus will be on results on the states of theses systems under very far-from- equilibrium conditions. We demonstrate the genesis of complex branching tree and dynamical dendritic states.

Keywords

Porous Medium Reaction Front Dissolution Front Darcy Permeability Adjacent Contour 
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

© Kluwer Academic Publishers 1990

Authors and Affiliations

  • P. Ortoleva
    • 1
  • W. Chen
    • 2
  1. 1.Indiana UniversityDepartment of ChemistryBloomingtonUnited States
  2. 2.Geo-Chemical Research Assoc.BloomingtonUnited States

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