Geochemical Modelling of Igneous Processes - Principles And Recipes in R Language

1 Introduction.- Part I R/GCDkit at work.- 2 Data manipulation and simple calculations.- 3 Classical plots.- 4 Specialized plots.- 5 Radiogenic isotopes.- Part II Modelling major elements.- 6 Direct models.- 7 Reverse models.- 8 Forward modelling in R.- 9 Reverse modelling in R.- Part III Modelling trace elements.- 10 Dilute trace elements: partition coefficients.- 11 Direct (dilute) trace-element models.- 12 Reverse (dilute) trace-element models.- 13 Trace elements as essential structural constituents of accessory minerals: the solubility concept.- 14 Forward modelling in R.- 15 Reverse modelling in R.- Part IV Radiogenic isotopes.- 16 Direct models.- 17 Reverse models.- 18 Forward modelling in R.- 19 Reverse modelling in R.- Part V Practical modelling.- 20 Choosing an appropriate model.- 21 Semi-quantitative geochemical approach.- 22 Constraining a model.- 23 Numerical tips and tricks.- 24 Common sense in action.- Part VI Worked examples.- 25 Differentiation of a calc-alkaline volcanic series: example of the Atacazo-Ninahuilca volcanoes, Ecuador.- 26 Progressive melting of a metasedimentary sequence: the Saint-Malo migmatitic complex, France.- Appendix I R syntax in a nutshell.- Appendix II Introduction to GCDkit.- Appendix III Solving systems of linear algebraic equations in R.

Vojt?ch Janousek, working in the radiogenic isotopes lab of the Czech Geological Survey, studied Geochemistry at the Charles University in Prague (1986-1991). His research focusses on geochemistry, geochronology and numerical modelling in igneous geochemistry as well as computing in geosciences.

Jean-François Moyen is professor at the University of Saint-Etienne, France. He studied geochemistry at the University of Clermont-Ferrand. His research interests include geochemical modelling, igneous petrology and geochemistry.

Hervé Martin is professor of geochemistry at the Laboratoire Magmas et Volcans at the University of Clermont-Ferrand, France. His research interests include isotope geochemistry and geodynamics.

Vojt'ch Erban is working at the radiogenic isotopes lab of the Czech Geological Survey in Prague. His research interests are geochemistry and petrogenesis of volcanic rocks, Sr and Nd isotopes in petrogenetic studies as well as aquatic chemistry.

Colin Farrow is working at the Department of Geology & Applied Geology, University of Glasgow. He is an expert on computing applications in geology and geochemistry.

"It is a textbook which discusses the theory of geochemical modelling as applied to whole-rock major and trace element data and to radiogenic isotopes ... . A starting graduate student in geochemistry would benefit from spending time with this book. It is well produced, the text is clear and the coding sections are printed in a different font for clarity, it is well illustrated with excellent diagrams, some of which are in colour, and each chapter is thoroughly referenced." (Hugh Rollinson, Elements, elementsmagazine.org, June, 2016)