2009/12/11 by Mark J. Mitchell, Oliver E. Jensen, K. A. Cliffe +1 · 2 citations
Earth and Planetary Sciences · Engineering · Environmental Science · #Ocean Acidification Effects and Responses #Carbon Dioxide Capture Technologies #CO2 Sequestration and Geologic Interactions
paper · pdf · doi:10.1098/rspa.2009.0349
openalex publication_date 2009/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
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.