• Media type: E-Book; Report; Text
  • Title: An analysis of crystal dissolution fronts in flows through porous media. Part I: Homogeneous charge distribution
  • Contributor: Hengst, Sabine [Author]; Knabner, Peter [Author]; van Duijn, Cornelius J. [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 1994
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.90
  • Keywords: 35K57 ; Transport -- travelling wave -- crystal dissolution -- porous media -- mathematical analysis ; 76S05 ; 35R35 ; 35K55 ; 35B30 ; article
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  • Description: We propose a model for transport of solutes in a porous medium participating in a dissolution/precipitation reaction, in general not in equilibrium. For an unbounded spatial domain, travelling wave solutions exists, if and only if the charge distribution is constant and we deal with a dissolution situation. The travelling wave in fact exhibits a sharp dissolution front. The wave is given in a nearly explicit manner. Also for the limit cases of equilibrium reaction or no dispersion, travelling waves are established under the same conditions, but with different qualitative properties.