Physics
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989e%26psl..94..417l&link_type=abstract
Earth and Planetary Science Letters, Volume 94, Issue 3-4, p. 417-424.
Physics
6
Scientific paper
A new quantitative model is introduced that incorporates chemical reaction kinetics along a general T-X equilibrium curve with a treatment of fluid flow and diffusion during metamorphism. The resulting differential equation is solved analytically. The analytic solution is then analyzed for general trends. An important result is the establishment of a fixed overstepping of equilibrium. The simple formula obtained for the overstepping yields important insights into the link between the nature of the metamorphic heating event and the chemical response of the rocks. The results exhibit a wide variation in the adherence to equilibrium depending on the slope of the T-X equilibrium curve, the heating rate, the ΔH of the reaction, the surface area of reactive minerals, the porosity and the intrinsic rate constant.
An analysis of the spatial variations of the analytical solution leads to the prediction of what are termed ``kinetic isograds'', which differ conceptually from the normal thermodynamic isograd.
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