ABSTRACT

Analytical solutions are proposed predicting the change in concentration and in isotopic composition of trace elements in magmatic liquids evolving by concurrent processes of fractional crystallization and wallrock assimilation (AFC), in the case the concentration of the trace element in the assimilate is assumed to change according to Shaw’s (1970) model of fractional melting of the wallrock. This particular AFC model, was first suggested and numerically approached by Spera and Bohrson (2001) in their energy-constrained AFC model (EC-AFC), without however giving analytical solutions.