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

Part of the Springer Geochemistry Book Series

DOI: 10.1007/978-3-662-46792-3

ISBN: 978-3-662-46791-6

Publisher: Springer Berlin Heidelberg - Springer Journals

Sep 11, 2015

1 - 10 of 26 Chapters

LitStream

Chapter 1Introduction

Janoušek, Vojtěch; Moyen, Jean-François; Martin, Hervé; Erban, Vojtěch; Farrow, Colin

Pages: 1 –7

[In the beginning, this chapter briefly summarizes the historical development of ideas regarding the causes of chemical variations in magmatic suites, from mediaeval times to the present. It stresses the importance of current revolution driven by improving analytical techniques, providing large...
LitStream

Data Manipulation and Simple Calculations

Janoušek, Vojtěch; Moyen, Jean-François; Martin, Hervé; Erban, Vojtěch; Farrow, Colin

Pages: 11 –25

[This chapter will demonstrate the practical use of the R language (for overview of its syntax, see Appendix A) and GCDkit (Appendix B) to solve common problems in igneous geochemistry. We shall follow the basic procedure from loading the data into the system, through their subsetting,...
LitStream

Classical Plots

Janoušek, Vojtěch; Moyen, Jean-François; Martin, Hervé; Erban, Vojtěch; Farrow, Colin

Pages: 27 –43

[In this chapter, plain R recipes are presented to produce the most common graphs used in igneous geochemistry, such as binary plots (simple and multiple, e.g. Harker plots), ternary plots or spiderplots. Practical exercises illustrating the general principles are also included. Special attention...
LitStream

Specialized Plots

Janoušek, Vojtěch; Moyen, Jean-François; Martin, Hervé; Erban, Vojtěch; Farrow, Colin

Pages: 45 –51

[This chapter presents several less known (or newly designed) types of geochemical plots that are implemented in GCDkit. It does not aim at being systematic and comprehensive; instead it focuses on arguably the most useful or interesting among them that could be suitable for common applications...
LitStream

Radiogenic Isotopes

Janoušek, Vojtěch; Moyen, Jean-François; Martin, Hervé; Erban, Vojtěch; Farrow, Colin

Pages: 53 –66

[The aim of this chapter is to explain basic numerical (R-language) approaches in interpreting radiogenic isotope data in igneous geochemistry, with particular emphasis on Sr–Nd–Hf–Os isotopic systems. The text is concerned with calculation of initial ratios, ages ε and γ values, single- and...
LitStream

Direct Models

Janoušek, Vojtěch; Moyen, Jean-François; Martin, Hervé; Erban, Vojtěch; Farrow, Colin

Pages: 69 –80

[In this chapter, we show how the major-element compositions of magmas are controlled by mass balance during their evolution through various processes such as crystallization, melting or mixing, including some variants thereof. Mass balance implies specific numerical and graphical relations (the...
LitStream

Reverse Models

Janoušek, Vojtěch; Moyen, Jean-François; Martin, Hervé; Erban, Vojtěch; Farrow, Colin

Pages: 81 –83

[This chapter presents numerical tools to “revert” the mass-balance relation (of Chap. 6), and explain the composition of a given igneous rock in terms of mixing between different components (solids or liquids). The proportions of each component can be constrained if their compositions are known....
LitStream

Forward Modelling in R

Janoušek, Vojtěch; Moyen, Jean-François; Martin, Hervé; Erban, Vojtěch; Farrow, Colin

Pages: 85 –92

[This chapter contains five solved exercises on forward modelling of the behaviour of major elements using R (see Chap. 6 for principles). These include: fractional crystallization of a single mineral and of a more complex cumulate assemblage, partial melting of a mantle peridotite and origin of...
LitStream

Reverse Modelling in R

Janoušek, Vojtěch; Moyen, Jean-François; Martin, Hervé; Erban, Vojtěch; Farrow, Colin

Pages: 93 –97

[This chapter contains four solved problems on reverse modelling of the behaviour of major elements using R (see Chap. 7 for principles). These include reverse modelling of fractional crystallization, partial melting of a paragneiss (yielding granitic magma) and calculation of a general “norm”...
LitStream

Dilute Trace Elements: Partition Coefficients

Janoušek, Vojtěch; Moyen, Jean-François; Martin, Hervé; Erban, Vojtěch; Farrow, Colin

Pages: 101 –104

[This chapter presents the key concept of the partition coefficient (applied to igneous systems). The partition coefficient is the ratio between the composition in a mineral phase, and the concentration in the melt, for a given element. Whereas major-element composition of the mineral is known or...

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