T. Karapiperis, CELLULAR-AUTOMATON MODEL OF PRECIPITATION DISSOLUTION COUPLED WITH SOLUTE TRANSPORT/, Journal of statistical physics, 81(1-2), 1995, pp. 165-180
Precipitation/dissolution reactions coupled with solute transport are
modeled as a cellular automaton in which solute molecules perform a ra
ndom walk on a regular lattice and react according to a local probabil
istic rule. Stationary solid particles dissolve with a certain probabi
lity and, provided solid is already present or the solution is saturat
ed, solute particles have a probability to precipitate. In our simulat
ion 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 observ
ed effect is the result of fluctuations in solute density and diminish
es when we average over a larger ensemble. The additional precipitatio
n 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 thresh
olds and can be employed to investigate porosity changes associated wi
th the carbonation of cement.