Some basic concepts of compositional geometry

The object of this short note is to give a synthetic overview of basic concepts of compositional geometry, which are necessary to follow the different analysis presented in subsequent papers in this issue of Mathematical Geology. To put them in a proper context, and to understand how to compute and...

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Bibliographic Details
Published in:Mathematical geology 2005-10, Vol.37 (7), p.673-680
Main Authors: TOLOSANA-DELGADO, R, OTERO, N, PAWLOWSKY-GLAHN, V
Format: Article
Language:English
Subjects:
Earth sciences
Earth, ocean, space
Exact sciences and technology
Geochemistry
Geochemistry: general, methodology, regional studies
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Summary:The object of this short note is to give a synthetic overview of basic concepts of compositional geometry, which are necessary to follow the different analysis presented in subsequent papers in this issue of Mathematical Geology. To put them in a proper context, and to understand how to compute and operate with them, it is convenient to introduce them with simple examples. Let us take the major ion content of a groundwater sample and assume one observation has, among others, a content of Na+ = 26.17 ppm, Ca 2+ = 75.83 ppm, and Mg2+ = 9.22 ppm. To represent these values in a ternary diagram (or three-part simplex in a general terminology), we have to normalize or constrain them.
ISSN:0882-8121
1874-8961
1573-8868
1874-8953
DOI:10.1007/s11004-005-7374-8