Hostname: page-component-848d4c4894-mwx4w Total loading time: 0 Render date: 2024-06-24T04:42:19.960Z Has data issue: false hasContentIssue false

Competitive diffusion-controlled growth of porphyroblasts

Published online by Cambridge University Press:  05 July 2018

William D. Carlson*
Affiliation:
Department of Geological Sciences, University of Texas at Austin, Austin TX, 78713, U.S.A.

Abstract

In a diffusion-controlled process of nucleation and growth, adjacent porphyroblasts compete with one another for nutrients. When the effects of this competition are evaluated quantitatively for garnet porphyroblasts in pelitic rocks from the Picuris Range of New Mexico (U.S.A.), significant correlations arise between crystal sizes and the volumes of the domains from which the crystals drew their nutrients. These correlations strengthen the conclusion drawn from earlier work on spatial dispositions, zoning patterns, and crystal size distributions that the kinetics of intergranular diffusion governed the crystallisation of these porphyroblasts.

Computer simulations indicate that competition for nutrients during diffusion-controlled growth may have small but detectable effects on crystal size frequency distributions. Diffusional competition therefore introduces relatively minor inaccuracies into attempts to extract quantitative information on crystallisation processes from size distributions using models for the growth of isolated porphyroblasts. In contrast, the effects of diffusional competition on patterns of compositional zoning may be substantial, especially for porphyroblasts in rocks for which chemical inhomogeneity of the precursor leads to strongly clustered spatial dispositions. In such rocks, clustering may alter the patterns of compositional zoning in ways that obscure evidence for diffusion-controlled growth.

Type
Research Article
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Boots, B. N. and Murdoch, D. J. (1983) The spatial arrangement of random Voronoi polygons. Comput. Geosci., 9, 351-65.CrossRefGoogle Scholar
Carlson, W. D. (1989) The significance of intergranular diffusion to the mechanisms and kinetics of porphyroblast crystallization. Contrib. Mineral. Petrol., 103, 124.CrossRefGoogle Scholar
Cashman, K. V. and Ferry, J. M. (1988) Crystal size distribution (CSD) in rocks and the kinetics and dynamics of crystallisation. III. Metamorphic crystallization. Ibid. 99, 401-15.Google Scholar
Evans, D. G. and Jones, S. M. (1987) Detecting Voronoi (area-of-influence) polygons. Math. Geol., 19, 401-15.CrossRefGoogle Scholar
Finlay, C. A. and Kerr, A. (1987) Evidence for differences in growth rate among garnets in pelitic schists from northern Sutherland, Scotland. Mineral. Mag., 51, 569-76.CrossRefGoogle Scholar
Gilbert, E. N. (1962) Random subdivisions of space into crystals. Ann. Mat. Stat., 33, 958-72.CrossRefGoogle Scholar
Hayes, W. B. and Koch, G. S. (1984) Constructing and analysing area-of-influence polygons by computer. Comput. Geosci., 10, 411-30.CrossRefGoogle Scholar
Kamineni, D. C. (1978) A study of some garnet aggregates from Yellowknife, Canada. Neues Jahrb. Mineral. Mh., 4462.Google Scholar
Kretz, R. (1966) Grain size distribution for certain metamorphic minerals in relation to nucleation and growth. J. Geoi, 74, 147-73.CrossRefGoogle Scholar
Kretz, R. (1969) On the spatial distribution of crystals in rocks. Lithos, 2, 3966.CrossRefGoogle Scholar
Kretz, R. (1973) Kinetics of the crystallization of garnet at two localities near Yellowknife. Can. Mineral, 12, 120.Google Scholar
Kretz, R. (1974) Some models for the rate of crystallization of garnet in metamorphic rocks. Lithos, 7, 123-31.CrossRefGoogle Scholar
Trevius, E. B. and Kovnurko, G. M. (1985) Metric characteristics and distribution of mineral grains in rocks and their genetic analysis (by example of garnet from northern Kazakhstan eclogites) [in Russian]. Notes of the All-Union Mineralogical Society, Zap. Vses. Mineral. Obschch., 114, 313-22.Google Scholar
Waters, D. (1990) Nucleation and overstepping in prograde metamorphic reactions: Implications for overall reaction rates and crystal size distributions (abstract). Mineral Textures, Programme with Abstracts, Joint meeting of the applied Mineralogy Group and Metamorphic Studies Group of the Mineralogical Society, and the Mineral Deposits Studies Group of the Geological Society, Manchester, England, September 1990.Google Scholar