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Thermophysics and Aeromechanics

2017 year, number 2

A mathematical model of scandium ore deposit formation in liquating magmatic melts

V.K. Cherepanova1,2В and A.N. Cherepanov2


1Novosibirsk State Technical University Novosibirsk, Russia
2Khristianovich Institute of Theoretical and Applied Mechanics Novosibirsk, Russia
E-mail: vera_cherepanova@mail.ru


Keywords: liquation, phase separation, phase formation, scandium, silicate magmatic melt, solidification, ore inclusions, mathematical model
Pages: 309–322

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 inclu-sions by solidified matrix phase were determined. The proposed model allows obtain-ing 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.

DOI: 10.1134/S0869864317020147