On the hydrodynamics of crystal clustering

Philos Trans A Math Phys Eng Sci. 2019 Feb 25;377(2139):20180015. doi: 10.1098/rsta.2018.0015.

Abstract

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 the R index and Ripley's L(r) and g(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'.

Keywords: crystal clusters; magma dynamics; multiphase flow; numerical modelling.