1986
DOI: 10.1093/imamat/36.3.207
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Reactive Infiltration Instabilities

Abstract: When a fluid flow is imposed on a porous medium, the infiltration flow may interact with the reaction-induced porosity variations within the medium and may lead to fingering instabilities. A nonlinear model of such interaction is developed and morphological instability of a planar dissolution front is demonstrated using a linear stability analysis of a moving-free-boundary problem. The fully nonlinear model is also examined numerically using finite-difference methods. The numerical simulations confirm the pred… Show more

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Cited by 225 publications
(500 citation statements)
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“…Such a channel network could be produced as a result of the reactive infiltration instability [Chadam et al, 1986;Ortoleva et al, 1987]. According to this theory, diffuse flow of a solvent through a soluble porous matrix is unstable.…”
Section: Discussionmentioning
confidence: 99%
“…Such a channel network could be produced as a result of the reactive infiltration instability [Chadam et al, 1986;Ortoleva et al, 1987]. According to this theory, diffuse flow of a solvent through a soluble porous matrix is unstable.…”
Section: Discussionmentioning
confidence: 99%
“…The effect on I tot is more pronounced when the concentration of carbonate is increased at a fixed calcium concentration than in the reverse case (Figure 3). This could be explained by the relatively larger change in viscosity of the Ca 2+ solution (see Table S1) as the concentration increases, which hinders the mixing of the reactants when the less viscous CO 3 2− is injected. The influence of various mixing effects due to the flow 7,14 on underlying reaction−diffusion profiles 6 should also be investigated to improve our understanding of these differences.…”
Section: ■ Results and Discussionmentioning
confidence: 99%
“…To understand the evolution of these hollow patterns, note that the ratio between the viscosity of the displaced Ca 2+ and that of the injected CO 3 2− solution is only ∼3 (Table S1). As shown previously, 10 this viscosity contrast is not large enough to produce viscous fingering under our experimental conditions.…”
Section: ■ Results and Discussionmentioning
confidence: 99%
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“…This is due to the increasing porosity which accompanies the replacement process and can be compared to the general process of reactive infiltration instabilities [48]. Even though our simulation of the dolomitization is a simplified model of the natural process it is sufficient to simulate the impurity redistribution mechanism which we assume to be crucial for the textural evolution.…”
Section: Discussionmentioning
confidence: 99%