Abstract
Solidification of liquating silicate magmatic melts may lead to formation of rare earth mineral deposits. By the example of quasi-binary system SiO2–Sc2O3, the processes of cooling and directional solidification of the melt in an intrusive chamber have been studied, and velocities of the phase fronts and the width of the phase separation field have been calculated. Using the fluctuation approach, the physical and mathematical model of the formation and growth of dispersed phase in the continuous cooling of liquating melt was developed, and the conditions of incorporating the dispersed inclusions by solidified matrix phase were determined. The proposed model allows obtaining quantitative estimates of the size and number of inclusions per unit of hardened rock, depending on the solidification conditions and the initial chemical composition of the melt.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
S.I. Arbuzov, A.V. Volostnov, A.M. Mezhibor, V.I. Rybalko, and S.S. Ilenok, Scandium (Sc) geochemistry in coals (Siberia, Russian Far East, Mongolia, Kazakhstan, and Iran), Int. J. Coal Geology, 2014, Vol. 125, P. 22–35.
Y. Kanazawa and M. Kamitani, Rare earth minerals and resources in the world, J. Alloys and Compounds, 2006, Vol. 408−412, P. 1339–1343.
N.A. Grigor’ev, Distribution of scandium in the upper continental crust, Lithosphere, 2011, No. 1, P. 115–125.
O. Vasyukova and A.E. Williams-Jones, Fluoride–silicate melt immiscibility and its role in REE ore formation: evidence from the Strange Lake rare metal deposit, Québec-Labrador, Canada, Geochimica et Cosmochimica Acta, 2014, Vol. 139, P. 110–130.
A.J.G. Ellison and P.C. Hess, Solution properties of rare earth elements in silicate melts: Inferences from immiscible liquids, Geochimica et Cosmochimica Acta, 1989, Vol. 53, Iss. 8, P. 1965–1974.
A.N. Cherepanov, V.N. Sharapov, V.N. Popov, and V.K. Cherepanova, A dynamic model of basic melt structuring during cooling accompanied by liquid immiscibility, Geochemistry International, 2000, Vol. 38, No. 1, P. 42–48.
V.N. Sharapov, A.N. Cherepanov, V.K. Cherepanova, and A.S. Zhmodic, Growth dynamics of ore melt drops in a cooling basic melt, Geochemistry International, 2000, Vol. 38, No. 12, P. 1188–1197.
A.N. Cherepanov, V.K. Cherepanova, and V.N. Sharapov, Dynamics of crystallization, immiscibility, and boiling fronts at the upper contacts of flat intrusive bodies, Doklady Earth Sciences, 2004, Vol. 396, No. 4, P. 582–587.
V.K. Cherepanova, A.N. Cherepanov, and V.N. Sharapov, Kinetics of disperse phase formation and growth during cooling of immiscible liquids, Physical Mesomechanics, 1999, Vol. 2, No. 5, P. 99–103.
A.N. Cherepanov, V.K. Cherepanova, V.N. Sharapov, and V.T. Borisov, Composite structure formation in directed solidification of phase-separating alloys, Physical Mesomechanics, 2003, Vol. 6, No. 5, P. 53–62.
J.W. Cahn and R.J. Charles, The initial stages of phase separation in glasses, Physics and Chemistry of Glasses, 1965, Vol. 6, No. 5, Р. 181–191.
M. Volmer, Kinetik der Phasenbildung, Steinkopff, Dresden, 1939.
E.M. Livshits and L.P. Pitaevsky, Phisical Kinetics, Pergamon Press, 1981.
D. Turnbull and J.D. Fisher, Rate of nucleation in condensed systems, J. Chem. Phys., 1949, Vol. 17, P. 71–73.
V.G. Kostrovsky, Nucleation between vapor and liquid, Doctoral Dissertation in Chemistry, Novosibirsk, 1999.
P.K. Rohatgi and C.M. Adams, Dendritic solidification of Al-Cu alloys, Trans. Metall. Soc. AIME, 1967, Vol. 239, P. 737–746.
V.I. Krylov, V.V. Bobkov, and P.I. Monastyrny, Computational Methods, Nauka, Moscow, 1976.
I.S. Berezin and I.P. Zhidkov, Methods of Computation, Vol. 2, Fismatgiz, Мoscow, 1952.
B. Chalmers, Principles of Solidification, Wiley, New York, 1964.
D.R. Uhlmann, B. Chalmers, and K.A. Jackson, Interaction between particles and a solid-liquid interface, J. Appl. Phys., 1964, Vol. 35, No. 10, P. 2986–2993.
A.A. Chernov, D.E. Themkin, and A.M. Mel’nikova, The theory of solid inclusions incorporation during crystal growth from a melt, Soviet Physics–Crystallography, 1976, Iss. 4, P. 652–660.
R. Sasicumar and T.R. Ramamohan, Distortion of the temperature and solute concentration fields due to the presence of particles at the solidification front — effects on particle pushing, Acta Metall. Mater., 1991, Vol. 39, No. 4, P. 517–522.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cherepanova, V.K., Cherepanov, A.N. A mathematical model of scandium ore deposit formation in liquating magmatic melts. Thermophys. Aeromech. 24, 309–322 (2017). https://doi.org/10.1134/S0869864317020147
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0869864317020147