Article ID Journal Published Year Pages File Type
4716018 Lithos 2014 15 Pages PDF
Abstract

•We present a new software for modelling AFC and AFC-r.•The AFC3D is an enhancement to previous models.•The software allows a 3D representation of r, β and ρ.

AFC3D is an original graphical free software developed in the framework of the R scientific environment and dedicated to the modelling of assimilation and fractional crystallization without (AFC) and with (AFC-r) recharge, facilitating the search for the solutions of the equations originally proposed by DePaolo (1981, 1985) and first solved in a graphical way by Aitcheson and Forrest (1994). The software presented here allows a graphical 3D representation of ρ (mass of assimilated crust/mass of original magma) as a function of r (rate of crustal assimilation/rate of fractional crystallization) and β (recharge rate of magma replenishment / rate of assimilation) for each element/isotope, finding a coherent set of (r, β, ρ) parameter triples in a mostly automated way. Mathematically optimized solutions are derived, which can and should then be discussed and evaluated from a geological and petrological point of view by the end user. The presented contribution presents the software and a series of models published in the literature, which are discussed as case studies of application and whose solutions are sometimes enhanced based on the results provided by the software.

Related Topics
Physical Sciences and Engineering Earth and Planetary Sciences Geochemistry and Petrology
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