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Reactive-infiltration instabilities in rocks. Part 2. Dissolution of a porous matrix

Published online by Cambridge University Press:  18 December 2013

Piotr Szymczak  and
Anthony J. C. Ladd
Piotr Szymczak*
Affiliation:
Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Hoża 69, 00-618, Warsaw, Poland
Anthony J. C. Ladd
Affiliation:
Chemical Engineering Department, University of Florida, Gainesville, FL 32611-6005, USA
*
†Email address for correspondence: piotrek@fuw.edu.pl
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Abstract

A reactive fluid dissolving a uniform porous material triggers an instability in the dissolution front, leading to spontaneous formation of pronounced well-spaced channels in the surrounding rock matrix. The concentration field within the dissolving region contains two different length scales, upstream (no reaction) and downstream of the front position. Previous investigations of the reactive-infiltration instability have considered one or other of the scales to be dominant, leading to rather different conclusions. Here we describe a more general linear stability analysis which includes both length scales simultaneously. We show how previous work corresponds to special cases of our more general analysis and obtain closed-form solutions for small permeability gradients.

JFM classification

Interfacial Flows (free surface): Fingering instability Geophysical and Geological Flows: Geophysical and Geological Flows Low-Reynolds-number flows: Porous media
Type
Papers
Information
Journal of Fluid Mechanics , Volume 738 , 10 January 2014 , pp. 591 - 630
Copyright
©2013 Cambridge University Press 

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