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Stability of an acid front moving through porous rock

Published online by Cambridge University Press:  26 April 2006

E. J. Hinch  and
B. S. Bhatt
E. J. Hinch
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge CB3 9EW, UK
B. S. Bhatt
Affiliation:
Department of Mathematics, University of the West Indies, St. Augustine, Trinidad, W.I.
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Abstract

As an acid flows through porous rock, it etches the rock and so increases the permeability. This propagating reaction front suffers an instability, rather like the viscous fingering instability, in which the acid prefers to follow high-permeability channels which it has already etched. We have examined the linear stability, obtaining analytic results for small and large wavenumbers and for small variations of the permeability, and obtaining numerical results in other cases.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 212 , March 1990 , pp. 279 - 288
Copyright
© 1990 Cambridge University Press

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