Computer Science
Scientific paper
Aug 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982e%26psl..60..114c&link_type=abstract
Earth and Planetary Science Letters, Volume 60, Issue 1, p. 114-116.
Computer Science
5
Scientific paper
In its simple form the Rayleigh surface equilibrium fractionation equation is only valid for a closed system in which solid separates from liquid, and no liquid is lost. Many natural systems, particularly magma chambers, lose liquid continuously as they fractionate. Here it is shown that evolution in such a system can, if loss of liquid proceeds in a constant ratio to precipitation of solid, be modelled by a modified Rayleigh equation where the solid/liquid distribution coefficient D is replaced by D*=(q.D + 1)/(q + 1), where q is the ratio of solid precipitated to liquid extracted. This can be visualised as treating the liquid removed as an additional phase extracted during fractionation for which D = 1. The effect of this is particularly important for incompatible elements, where as D --> 0, D* --> 1/(q + 1), so that when q = 1, the most incompatible element gives D* = 0.5.
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