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On the hydrodynamics of crystal clustering
Author(s) -
Michael McIntire,
George W. Bergantz,
Jillian Schleicher
Publication year - 2019
Publication title -
philosophical transactions of the royal society a mathematical physical and engineering sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.074
H-Index - 169
eISSN - 1471-2962
pISSN - 1364-503X
DOI - 10.1098/rsta.2018.0015
Subject(s) - cluster analysis , crystal (programming language) , voronoi diagram , geology , cluster (spacecraft) , basalt , statistical physics , physics , computer science , mathematics , geometry , statistics , geochemistry , programming language
The formation of crystal clusters may influence the mechanical behaviour of magmas. However, whether clusters form largely from physical contact in a mobile state during sedimentation and stirring, or require residence in a crystal mush, is not well understood. In this paper, we use discrete-element fluid dynamics numerical experiments to illuminate the potential for clustering from both sedimentation and open-system mixing in a model olivine basalt reservoir for three different initial solid volume per cents. Crystal clustering is quantified using both bulk measures of clustering such as theR index and Ripley'sL(r) andg(r) functions and with a variable scale technique called Voronoi tessellations, which also provide orientation data. Probability density functions for the likelihood of crystal clustering under freely circulating conditions indicate that there is nearly an equal likelihood for clustering and non-clustered textures in natural examples. A crystal cargo in igneous rock suites exhibiting a dominance of crystal clusters may be largely sampling magmatic materials formed in a crystal mush.This article is part of the Theo Murphy meeting issue ‘Magma reservoir architecture and dynamics’.

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