A model of carbon dioxide dissolution and mineral carbonation kinetics

Mark J. Mitchell, Oliver E. Jensen, K. Andrew Cliffe, M. Mercedes Maroto-Valer

    Research output: Contribution to journalArticlepeer-review


    The kinetics of the dissolution of carbon dioxide in water and subsequent chemical reactions through to the formation of calcium carbonate, a system of reactions integral to carbon sequestration and anthropogenic ocean acidification, is mathematically modelled using the mass action law. This group of reactions is expressed as a system of five coupled nonlinear ordinary differential equations, with 14 independent parameters. The evolution of this system to equilibrium at 25?C and 1 atm, following an instantaneous injection of gaseous carbon dioxide, is simulated. An asymptotic analysis captures the leading-order behaviour of the system over six disparate time scales, yielding expressions for all species in each time scale. These approximations show excellent agreement with simulations of the full system, and give remarkably simple formulae for the equilibrium concentrations. This journal is © 2009 The Royal Society.
    Original languageEnglish
    Pages (from-to)1265-1290
    Number of pages25
    JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
    Issue number2117
    Publication statusPublished - 8 May 2010


    • Asymptotic analysis
    • Calcium carbonate
    • Carbon dioxide dissolution
    • Carbon sequestration
    • Ocean acidification
    • Reaction kinetics


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