Reverse Models

  • Vojtěch Janoušek
  • Jean-François Moyen
  • Hervé Martin
  • Vojtěch Erban
  • Colin Farrow
Chapter
Part of the Springer Geochemistry book series (SPRIGEO)

Abstract

This rather short chapter explains fundamentals of fitting binary mixing hyperbolae to real data arrays (e.g., in 87Sr/86Sr vs. 143Nd/144Nd plots). This is done by the least-square method, and the outputs are asymptotes with curvature. The second part of the text presents reverse solution of the AFC as described by Powell (1984), using the slope of the mixing line in the 1/C vs. I diagram (e.g., 1/Sr vs. 87Sr/86Sr plot).

References

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  2. Guzmán S, Carniel R, Caffe PJ (2014) AFC3D: a 3D graphical tool to model Assimilation and Fractional Crystallization with and without recharge in the R environment. Lithos 190–191:264–278Google Scholar
  3. Mantovani MSM, Hawkesworth CJ (1990) An inversion approach to assimilation and fractional crystallisation processes. Contrib Mineral Petrol 105:289–302Google Scholar
  4. Powell R (1984) Inversion of the assimilation and fractional crystallization (AFC) equations; characterization of contaminants from isotope and trace element relationships in volcanic suites. J Geol Soc London 141:447–452Google Scholar
  5. Sohn RA (2013) A method for inverting ratio-ratio data to estimate end-member compositions in mixing problems. Chem Geol 352:63–69Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2016

Authors and Affiliations

  • Vojtěch Janoušek
    • 1
  • Jean-François Moyen
    • 2
  • Hervé Martin
    • 3
  • Vojtěch Erban
    • 1
  • Colin Farrow
    • 4
  1. 1.Czech Geological SurveyPragueCzech Republic
  2. 2.Université Jean-MonnetSaint-EtienneFrance
  3. 3.Université Blaise-PascalClermont-FerrandFrance
  4. 4.GlasgowScotland

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