Morphometry of aggregates and modeling of phase transition kinetics under metamorphism
Authors:
About authors
- Ph.D. Assistant Professor Saint-Petersburg State Mining Institute (Technical University)
Abstract
The paper discusses some general relations between the structure of metamorphic rocks and mechanisms of phase reactions. Among these relations is the influence of nucleation and growth of kinetics on the crystal size distribution. A brief overview is made of theoretical models which have been proposed to explain granulometric properties of rocks, and kinetic laws and factors on the metamorphic crystallization are considered by the example of metapelitic garnets, including the phenomenon of avalanche nucleation at finite overheating as well as the growth of porphyroblasts under diffusion-limited conditions. As a result, a new approach to modeling of native granulometric curves is presented.
Область исследования:
(Archived) Mineralogy and petrography
Keywords:
crystallization
garnet
grain size distribution
kinetics
metamorphic aggregate
modeling
morphometry
zoning
Funding:
None
References
- Gulbin Yu.L. On estimation and hypothesis testing of the grain size distribution by the Saltykov method // Image. Anal. Stereol. 2008. V.27, pp.163-174
- Gulbin Yu.L., Sorokina E.A., Gaidamako I.M. Investigation of porphyroblast forming (on an example of garnets from
- North Ladoga region) // Proc. III Fersman session. Apatity, Russia, 27-28 April, 2006. Apatity, 2006, pp. 116-118.
- Ridley J., Thompson A.B. The role of mineral kinetics in the development of metamorphic microtextures /
- Fluid-rock interactions during metamorphism. WaltherJ.V., Wood B.J., Eds. (Advances in Physical Geochemistry, V.5. New York: Springer-Verlag, 1986, pp.154-193.
- Carlson W.D. The significance of intergranular diffusion to the mechanisms and kinetics of porphyroblast crystallization // Contrib. Mineral. Petrol. 1989. V.103, pp.1-24.
- Denison C., Carlson W.D. Three-dimensional quantitative textural analysis of metamorphic rocks using
- high-resolution computed X-ray tomography. Part II: Application to natural samples // J. Metamorph. Geol. 1997.
- V.15, pp. 45-57.
- Eberl D.D., Kile D.E., Drits V.A. On geological interpretation of crystal size distributions: Constant vs. proportionate growth // Am. Miner. 2002. V. 87, pp.1235-1241.
- Finlay C.A., Kerr A. Evidence for differences in growth rate among garnets in pelitic schists from Northern Sutherland, Scotland // Miner. Mag. 1987. V.51, pp. 569-576.
- Galwey A.K., Jones K.A. Crystal size frequency distribution of garnets in some analysed metamorphic rocks from Mallaig, Inverness, Scotland. Geol. Mag. 1966. V.103, pp.143-152.
- Higgins M.D. Measurement of crystal size distributions // Am. Mineral. 2000. V.85. pp.1105-1116.
- Jones K.A., Galwey A.K. A study of possible factors concerning garnet formation in rocks from Ardara, Co. Donegal, Ireland // Geol. Mag. 1964. V.101, pp.76-93.
- Kaneko Y., Tsunogae T., Miyano T. Crystal-size distributions of garnets in metapelites from the northeastern Bushveld contact aureole, South Africa // Am Mineral. 2005. V.90, pp.1422-1433.
- Kile D.E., Eberl D.D. On the origin of sizedependent and size-independent crystal growth: Influence of advection and diffusion // Am. Miner. 2003. V.88, pp.1514-1521.
- Kretz R. Grain-size distribution for certain metamorphic minerals in relation to nucleation and growth // J. Geol. 1966. V.74, pp. 147-173.
- Kretz R. Kinetics of the crystallization of garnet at two localities near Yellowknife // Can. Mineral. 1973. V.12, pp.1-20.
- Kretz R. Some models for the rate of crystallization of garnet in metamorphic rocks // Lithos. 1974. V.7, pp.
- -131.
- Marsh B.D. Crystal size distribution (CSD) in rocks and kinetics and dynamics of crystallization. I. Theory // Contrib. Mineral. Petrol. 1988. V.99, pp.277-291.
- Marsh B.D. On the interpretation of crystal size distributions in magmatic systems // J. Petrol. 1998. V.39, pp.553-599.
- Sahagian D.L., Proussevitch A.A. 3D particle size distributions from 2D observations: stereology for natural applications // J. Volcanol. Geotherm. Res. 1998. V.84, pp. 173-196.
- Zeh A. Crystal size distribution (CSD) and textural evolution of accessory apatite, titanite and allanite during four stages of metamorphism: an example from the Moine Supergroup, Scotland // J. Petrol. 2004. V.45, pp. 2101-2132