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Fluids 2018, 3(1), 1; doi:10.3390/fluids3010001

Onset of Convection in the Presence of a Precipitation Reaction in a Porous Medium: A Comparison of Linear Stability and Numerical Approaches

1
Department of Chemical Engineering and Biotechnology, University of Cambridge, Cambridge CB3 0AS, UK
2
Department of Chemical Engineering, Jadavpur University, Kolkata 700032, India
3
Department of Chemical Engineering, Jeju National University, Jeju 63243, Korea
*
Author to whom correspondence should be addressed.
Received: 2 November 2017 / Revised: 8 December 2017 / Accepted: 17 December 2017 / Published: 22 December 2017
(This article belongs to the Special Issue Convective Instability in Porous Media)
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Abstract

Reactive convection in a porous medium has received recent interest in the context of the geological storage of carbon dioxide in saline formations. We study theoretically and numerically the gravitational instability of a diffusive boundary layer in the presence of a first-order precipitation reaction. We compare the predictions from normal mode, linear stability analysis, and nonlinear numerical simulations, and discuss the relative deviations. The application of our findings to the storage of carbon dioxide in a siliciclastic aquifer shows that while the reactive-diffusive layer can become unstable within a timescale of 1 to 1.5 months after the injection of carbon dioxide, it can take almost 10 months for sufficiently vigorous convection to produce a considerable increase in the dissolution flux of carbon dioxide. View Full-Text
Keywords: dissolution-driven convection; porous medium; diffusive boundary layer; unstable stratification; onset of convection; reactive-convective dissolution; precipitation reaction dissolution-driven convection; porous medium; diffusive boundary layer; unstable stratification; onset of convection; reactive-convective dissolution; precipitation reaction
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Ghoshal, P.; Kim, M.C.; Cardoso, S.S.S. Onset of Convection in the Presence of a Precipitation Reaction in a Porous Medium: A Comparison of Linear Stability and Numerical Approaches. Fluids 2018, 3, 1.

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