Reactive Infiltration Instabilities |
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Authors: | CHADAM J; HOFF D; MERINO E; ORTOLEVA P; SEN A |
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Institution: |
1Geo-Chem Research Associates, Inc. 400 East Third Street, Bloomington, Indiana 47401
2Mathematics Department, Indiana University Bloomington, Indiana 47405
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Abstract: | When a fluid flow is imposed on a porous medium, the infiltrationflow may interact with the reaction-induced porosity variationswithin the medium and may lead to fingering instabilities. Anonlinear model of such interaction is developed and morphologicalinstability of a planar dissolution front is demonstrated usinga linear stability analysis of a moving-free-boundary problem.The fully nonlinear model is also examined numerically usingfinite-difference methods. The numerical simulations confirmthe predictions of linear stability theory and, more importantly,reveal the growth of dissolution fingers that emerge as a resultof these instabilities |
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