Petford, N., Bryon, D., Atherton, M.P. and Hunter, R.H., 1993. Fractal analysis in granitoid petrology: a means of quantifying irregular grain morphologies. European Journal of Mineralogy, 5 (3), pp. 593-598.
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Digitised outlines of a serially sectioned K-feldspar grain from a Cordilleran granitoid have been analysed for their fractal dimension. Although the grain boundary outlines are not truly fractal in the sense of Mandlebrot (1982), they do show a self-similarity over a statistically definable range, and can thus be assigned a dimensional value between 1 and 2. Each grain section has fractal dimension (D) > 1, ranging from 1.21-1.30. Scatter within the data sets have been used to define separate (pseudo)fractal elements that further characterise each grain outline. The development of fractal geometries within a particular granitoid can be broadly related to crystallisation within Ab-An-Or-Qz space. For example, Cordilleran «I»-type granitoids that crystallise from An-rich liquids may be expected to show both Euclidean and fractal geometries, while minimum melts and «S»-type granites that crystallise in broadly eutectic proportions will have textures dominated by (pseudo)fractal grain outlines. The non-integer values that describe grain shape may also be useful in estimating the total grain (porosity) volume within the rock
|Uncontrolled Keywords:||Petrology, granodiorites, fractals, textures, porosity, morphology, K-feldspar, grain boundaries, grain size, granites, igneous rocks|
|Subjects:||Science > Earth Sciences|
|Group:||University Executive Team|
|Deposited By:||Ms MJ Bowden|
|Deposited On:||30 Jul 2007|
|Last Modified:||07 Mar 2013 14:42|
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