Abstract
To obtain the kinetic parameters of diffusion-controlled mineral reactions in texture-homogenous rocks, a new approach is proposed. The method is based on comparison of the modeling concepts of the thermal field evolution to the observed variations in the chemical composition of minerals within the contact aureole of the Kharlovo gabbro massif. The effective rate of mineral reactions involving biotite (~10–12 s–1) and the effective coefficient of diffusion (5.29 × 10–16 cm2/s at T = 475°C) are determined. The results of theoretical modeling are in agreement with the data on the rates of reactions of contact metamorphism, as well as with the empirical estimates of the coefficients of diffusion at grain boundaries in mineral aggregates and segregations under the corresponding PT parameters.
Similar content being viewed by others
REFERENCES
G. W. Fisher, Geochim. Cosmochim. Acta 42, 1035–1050 (1978).
E. F. Baxter, Geol. Soc. London Spec. Publ. 220, 183–202 (2003).
R. Joesten and G. Fisher, Geol. Soc. Am. Bull. 100, 714–732 (1988).
V. V. Reverdatto, I. I. Likhanov, O. P. Polyanskii, V. S. Sheplev, and V. Yu. Kolobov, Metamorphism: Nature and Models (Siberian Branch RAS, Novosibirsk, 2017) [in Russian].
I. I. Likhanov, V. V. Reverdatto, and I. Memmi, Eur. J. Mineral 6, 133–144 (1994).
I. I. Likhanov, V. V. Reverdatto, and I. Memmi, Eur. J. Mineral 7, 379–389 (1995).
E. W. Bolton, A. C. Lasaga, and D. M. Rye, Am. J. Sci. 299, 1–68 (1999).
I. I. Likhanov and A. A. Ten, Dokl. Akad. Nauk SSSR 321 (5), 1044–1048 (1991).
I. I. Likhanov, A. A. Ten, V. V. Reverdatto, and E. P. Solotchina, Dokl. Earth Sci. 346 (1), 78–82 (1996).
I. I. Likhanov, A. A. Ten, V. V. Reverdatto, V. A. Ananiev, and I. Memmi, Mineral. Petrol. 71, 51–65 (2001).
J. A. Nelder and R. Mead, Comput. J. 7, 308–313 (1965).
I. N. Bronshtein and K. A. Semendyayev, Handbook of Mathematics (Verlag Harri Deutsch, Berlin, 1979).
V. V. Reverdatto, A. V. Babichev, I. I. Likhanov, and O. P. Polyanskii, Dokl. Earth Sci. 480 (4), 750–753 (2018).
I. I. Likhanov, Geol. Soc. London Spec. Publ. 478, 89–115 (2018). https://doi.org/10.1144/SP478.11
V. N. Balashov and B. W. D. Yardley, Am. J. Sci. 298, 441–470 (1998).
Funding
This study was supported by the Russian Foundation for Basic Research, project no. 18–05–00152.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by A. Rylova
Rights and permissions
About this article
Cite this article
Likhanov, I.I. Inverse Modeling for Evaluation of the Kinetic Parameters of Metamorphic Reactions in Texture-Homogenous Rocks. Dokl. Earth Sc. 488, 1173–1177 (2019). https://doi.org/10.1134/S1028334X19100064
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1028334X19100064