Journal of Statistical Physics

, Volume 81, Issue 1–2, pp 165–180 | Cite as

Cellular automaton model of precipitation/dissolution coupled with solute transport

  • T. Karapiperis
Articles

Abstract

Precipitation/dissolution reactions coupled with solute transport are modeled as a cellular automaton in which solute molecules perform a random walk on a regular lattice and react according to a local probabilistic rule. Stationary solid particles dissolve with a certain probability and, provided solid is already present or the solution is saturated, solute particles have a probability to precipitate. In our simulation of the dissolution of a solid block inside uniformly flowing water we obtain solid precipitation downstream from the original solid edge, in contrast to the standard reaction-transport equations. The observed effect is the result of fluctuations in solute density and diminishes when we average over a larger ensemble. The additional precipitation of solid is accompanied by a substantial reduction in the relatively small solute concentration. The model is appropriate for the study of the role of intrinsic fluctuations in the presence of reaction thresholds and can be employed to investigate porosity changes associated with the carbonation of cement.

Key Words

Cellular automaton precipitation/dissolution and mass transport reaction threshold density fluctuations 

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References

  1. 1.
    R. Wollast, inAquatic Chemical Kinetics, W. Stumm, ed. (Wiley, New York, 1990). pp. 431–445.Google Scholar
  2. 2.
    P. C. Lichtner,Geochim. Cosmochim. Acta 52:143 (1988).Google Scholar
  3. 3.
    T. Karapiperis and B. BlankleiderPhysica D 78:30 (1994).Google Scholar
  4. 4.
    J. T. Wells, D. R. Janecky, and B. J. TravisPhysica D 47:115 (1991).Google Scholar
  5. 5.
    J. R. Weimar, D. Dab, J.-B. Boon, and S. Succi,Europhys. Lett. 20:627 (1992).Google Scholar
  6. 6.
    G. Doolen, U. Frisch, B. Hasslacher, S. Orszag, and S. Wolfram, eds.,Lattice Gas Methods for Partial Differential Equations (Addison-Wesley, Reading, Massachusetts, 1990).Google Scholar
  7. 7.
    L. M. Brieger and E. Bonomi,J. Comput. Phys. 94:467 (1991).Google Scholar
  8. 8.
    F.-A. Sarott, M. H. Bradbury, P. Pandolfo, and P. Spieler,Cement Concrete Res. 22: 439 (1992).Google Scholar

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • T. Karapiperis
    • 1
  1. 1.Paul Scherrer InstituteVilligen PSISwitzerland

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