A textural study of the distribution of cordierite in ...

A textural study of the distribution of cordierite in ...

GSA Meeting, Vancouver, October 19, 2014 A textural study of the distribution of cordierite in metapelitic hornfelses from the Bugaboo contact aureole (SE British Columbia): Implications for the mechanisms of metamorphic crystallization Petley-Ragan, A. and Gaidies, F. Department of Earth Sciences, Carleton University, Ottawa, ON, Canada Intro Bugaboo XR-CT Segmentation Extraction Reduce3D Interpretation Texture Quantification 3-dimensional data: Textures:

RANDOM ORDERED CLUSTERED Rudge et al. (2008) Intro Bugaboo XR-CT Segmentation Extraction Reduce3D Interpretation Bugaboo Geological Setting Edited after DeBuhr (1999) Intro

Bugaboo XR-CT Segmentation Extraction Reduce3D Interpretation Bugaboo Contact Aureole Four metamorphic zones at 1.8 - 2.2 kbar: (1) And Crd Chl (460-500C) (2) Bt And Crd Chl (500-525C) (3) Bt And Crd (525-575C) (4) Bt And Kfs Crd (575-600C) Crd-forming reaction: Wm + Chl + Qtz Bt + And + Crd + H2O Edited after DeBuhr (1999) Intro

Bugaboo XR-CT Segmentation Extraction COB3-S1-5: Petrography Syn-kinematic biotite, plagioclase, andalusite and cordierite porphyroblasts in a foliated matrix of quartz, white mica, plagioclase and chlorite. Reduce3D Interpretation Intro Bugaboo XR-CT Segmentation Extraction

Reduce3D COB3-S1-5: X-Ray Micro-Computed Tomography 12 m pixel size XR-CT obtains 3D Data: X-Y-Z coordinates of Crd centers Volume of Crd Interpretation Intro Bugaboo XR-CT Segmentation Extraction Reduce3D Interpretation Cordierite Segmentation (COB3-S1-5) Full Full Segmentation

Segmentation Orthogonal Orthogonal Slice Slice Segmentation Segmentation Images taken from Blob3D (Ketcham, 2005) Bugaboo Intro XR-CT Segmentation Reduce3D Extraction Interpretation Cordierite Extraction (COB3-S1-5) 5.0 4.5 4.0 3.5

Aspect Ratio 540 Crystals 9.95 vol. % Crd Mean Volume = 1.25 mm Mean Aspect Ratio = 2.34 3.0 2.5 2.0 1.5 120 1.0 0.5 CSD 100 0.0 0 0.5 Frequency

80 1 1.5 Ellipsoid Volume (mm) 60 40 20 0 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 Ellipsoid Volume (mm) 2 2.2 2.4 2.6 2.8

2 2.5 3 Intro Bugaboo XR-CT Segmentation Extraction Reduce3D Interpretation Scale-Dependent Statistics (Reduce3D) Reduce3D (Hirsch, 2000; 2011) r = test distance c = shell width Bugaboo

Intro XR-CT Segmentation Extraction Reduce3D Interpretation Scale-Dependent Statistics: Results (COB3-S1-5) Test statistic Clustering False Ordering due to the hard core effect Clustering at 1.1 1.4 mm

Average crystal size within clusters falls below the average population size Reduce3D (Hirsch, 2000; 2011) Test statistic Correlation between size and distance at smallest scales Bugaboo Intro XR-CT Segmentation Extraction Reduce3D Interpretation Test statistic Scale-Dependent Statistics: Results (COB3-S1-5)

Correlation between size and distance within clusters = Ordering ORDERED CLUSTERS Reduce3D (Hirsch, 2000; 2011) Test statistic Avg min axis x2 Avg max axis x2 Intro Bugaboo XR-CT Segmentation Extraction Reduce3D Interpretation

Interpretation of Cordierite Texture (COB3-S1-5) Clustering at 1.1 1.4 mm: inhomogeneous distribution of chemical nutrients. Clusters of smaller crystals than average: competition for chemical nutrients within crystal clusters. Diffusion-controlled cordierite growth at lengths scales of 1.4 mm. 1 mm Acknowledgements Dave Pattison and Chris Debuhr. Department of Geoscience, University of Calgary. Richard Ketcham, Romy Hanna and Matthew Colbert. Department of Geological Sciences, University of Texas at Austin. Funded by NSERC Canada Graduate Scholarship: Masters Program References DeBuhr, C. L. 1999. Metamorphic petrology and mass balance analysis in the Bugaboo contact aureole. PhD Dissertation, University of Calgary. Hirsch, D. M. 2000. Quantitative studies of porphyroblastic textures. PhD Dissertation, University of Texas at Austin. Hirsch, D. M. 2011. Reduce3D: A tool for three-dimensional spatial statistical analysis of crystals. Geosphere, 7, p.724-732. Ketcham, R. 2005. Computational methods for quantitative analysis of three-dimensional features in geological specimens. Geosphere, 1, p.32-41. Rudge, J. F., Holness, M. B. and Smith, G. C. 2008. Quantitative textural analysis of packings of elongate crystals. Contrib Mineral Petrol, 156, p.413-429.

Questions? Additional slides Cordierite Chemistry (COB3-S1-5) Mn Fe Mg 0.20 0.50 0.16 0.46 0.12 0.42 0.08 0.38

0.04 0.34 0.00 Mg0.96Fe0.74Na0.30Mn0.02Al4Si5O18 0.30 0 200 400 600 800 Distance (um) 1000 1200 Mol Fraction Fe, Mg

Mol Fraction Na, Mn Na Additional slides Cordierite & Biotite Orientation Maximum Length Cordierite Biotite Minimum Length Additional slides Segmentation Error Full Segmentation Volume = 1.659 mm3 Full Segmentation Ellipsoid Volume = 1.793 mm3 Ortho Slices Ellipsoid Volume = 1.138 mm3

Phase Equilibria COB3-S1-5 Additional slides Biotite Scale-Dependent Statistics (Results) 600 CSD 500 Frequency 400 300 200 100 0 0 01 .02 .03 .04 .05 .06 .07 .08 .09 0. 0 0 0 0 0

0 0 0 Volume (mm3) 1 0. Additional slides

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