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Three-dimensional study on the interconnection and shape of crystals in a graphic granite by X-ray CT and image analysis

Published online by Cambridge University Press:  05 July 2018

S. Ikeda ,
T. Nakano  and
Y. Nakashima
S. Ikeda*
Affiliation:
Geological Institute, Graduate School of Science, University of Tokyo, Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
T. Nakano
Affiliation:
Geological Information Centre, Geological Survey of Japan, Higashi, 1-1-3, Tsukuba, Ibaraki 305-8567, Japan
Y. Nakashima
Affiliation:
Geophysics Department, Geological Survey of Japan, Higashi, 1-1-3, Tsukuba, Ibaraki 305-8567, Japan
*
*E-mail: ikeda@chem.s.u-tokyo.ac.jp
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Abstract

The technique of investigating 3-dimensional interconnections and the shapes of crystals in a rock by X-ray computerized tomography (CT) and image analysis was developed using a graphic granite specimen as an example. Fifty 2-dimensional tomographic images (slices) of the graphic granite were obtained ‘non-destructively’ using a medical X-ray CT scanner. Since a CT value of the specimen was decreased with increasing cross-sectional sample area by the effect of beam-hardening, the CT value was corrected using the area of each slice. Binary images of the slices were made comparing one of them with a thin-section of the slice. Using the binary images, connection analysis of quartz rods in the graphic granite specimen was performed on the basis of percolation theory (cluster labelling). This analysis showed that at least 89.9% of the quartz rods were connected in three dimensions. Furthermore, the 3-dimensional shape of the quartz rods was analysed using the 2-point correlation function calculated from the binary images. The average shape of the quartz rods was obtained by fitting an ellipsoid to the high-value region of the 2-point correlation function. The elongation axis of the ellipsoid agreed well with the crystallographic c-axes of the quartz rods.

Keywords

X-ray CT3-dimensional image analysisgraphic granitecluster labelling2-point correlation function
Type
Research Article
Information
Mineralogical Magazine , Volume 64 , Issue 5 , October 2000 , pp. 945 - 959
Copyright
Copyright © The Mineralogical Society of Great Britain and Ireland 2000

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Footnotes

†

Present address: Department of Complexity Science and Engineering, Graduate School of Frontier Sciences, University of Tokyo

References

Berryman, J.G. (1985) Measurement of spatial correlation functions using image processing techniques. J. Appl. Phys., 57, 2374–84.CrossRefGoogle Scholar
Berryman, J.G. and Blair, S.C. (1986) Use of digital image analysis to estimate fluid permeability of porous materials: Application of 2-point correlation functions. J. Appl. Phys., 60, 1930–8.CrossRefGoogle Scholar
Bryon, D.N., Atherton, M.P. and Hunter, R.H. (1995) The interpretation of granitic textures from serial thin sectioning, image analysis and three-dimensional reconstruction. Mineral. Mag., 59, 203–11.CrossRefGoogle Scholar
Cashman, K.V. and Marsh, B.D. (1988) Crystal size distribution (CSD) in rocks and the kinetics and dynamics of crystallization II: Makaopuhi lava lake. Contrib. Mineral. Petrol., 99, 292–305.CrossRefGoogle Scholar
Cooper, M.R. and Hunter, R.H. (1995) Precision serial lapping, imaging and three-dimensional reconstruction of minus-cement and post-cementation intergranular pore-systems in the Penrith Sandstone of north-western England. Mineral. Mag., 59, 213–20.CrossRefGoogle Scholar
Denison, C. and Carlson, W.D. (1997) Three-dimensional quantitative textural analysis of metamorphic rocks using high resolution computed X-ray tomography: Part II. Application to natural samples. J. Metam. Geol., 15, 45–57.CrossRefGoogle Scholar
Denison, C., Carlson, W.D. and Ketcham, A. (1997) Three-dimensional quantitative textural analysis of metamorphic rocks using high-resolution computed X-ray tomography: Part I. Methods and techniques. J. Metam. Geol., 15, 29–44.CrossRefGoogle Scholar
Dilks, A. and Graham, S.C. (1985) Quantitative mineralogical characterization by back-scattered electron image analysis. J. Sed. Petrol., 55, 347–55.Google Scholar
Fenn, P.M. (1986) On the origin of graphic granite. Amer. Mineral., 71, 325–30.Google Scholar
Hubbell, J.H., Gimm, H.A. and Øverbø, I. (1980) Pair, triplet and total atomic cross sections (and mass attenuation coefficients) for 1 MeV–100 GeV photons in elements z=1 to 100. J. Phys. Chem. Ref. Data, 9, 1023–145.CrossRefGoogle Scholar
Kawano, Y. and Ueda, Y. (1967) K-Ar dating on the igneous rocks in Japan (VI) – granitic rocks, summary. J. Japan Assoc. Mineral. Petrol. Econ. Geol., 57, 177–87 (Japanese with English abstract).CrossRefGoogle Scholar
Koch, B. and MacGillavry, C.H. (1962) X-ray absorption. Pp. 157–60 in: International Tables for X-ray Crystallography, Vol. III (MacGillavry, C.H. and Rieck, G.D., editors). The Kynoch Press, UK.Google Scholar
Lentz, D.R. and Fowler, A.D. (1992) A dynamic model for graphic quartz-feldspar intergrowths in granitic pegmatites in the southwestern Grenville Province. Canad. Mineral., 30, 571–85.Google Scholar
Marschallinger, R. (1998) Correction of geometric errors associated with the 3-D reconstruction of geological materials by precision serial lapping. Mineral. Mag., 62, 783–92.CrossRefGoogle Scholar
Matsubara, H. (1956) Reports on the pegmatites in Ishikawa district, Fukushima Prefecture – One of the fundamental studies on uranium-thorium resources in Japan. Bull. Geol. Surv. Japan, 7, 335–48 (Japanese with English abstract).Google Scholar
McCullough, E.C. (1975) Photon attenuation in computed tomography. Medical Physics, 2, 307–20.CrossRefGoogle ScholarPubMed
Morishita, R. (1998) Statistical properties of ideal rock textures: relationship between crystal size distribution and spatial correlation of minerals. Math. Geol., 30, 409–34.CrossRefGoogle Scholar
Morishita, R. and Obata, M. (1995) A new statistical description of the spatial distribution of minerals in rocks. J. Geol, 103, 232–40.CrossRefGoogle Scholar
Nakano, T. and Fujii, N. (1989a) Softwares for digital image processing: (1) painting and virtual screen management. Geoinformatics, 14A, 93–107 (Japanese with English abstract).CrossRefGoogle Scholar
Nakano, T. and Fujii, N. (1989b) The multiphase grain control percolation: its implication for a partially molten rock. J. Geophys. Res, 94, 15653–61.CrossRefGoogle Scholar
Nakano, T. and Fujii, N. (1991) Softwares for digital image processing: (3) cluster labelling and perimeter extraction. Geoinformatics, 2, 23–44 (Japanese with English abstract).CrossRefGoogle Scholar
Nakano, T., Nishizawa, O., Masuda, K., Inazumi, T. and Kasama, S. (1992) Three-dimensional distribution of cracks and minerals in a rock obtained by X-ray CT. Geotomography, SEGJ Int. Pub., 2, 361–71.Google Scholar
Nakano, T., Nakamura, K., Someya, T. and Ohtsuka, H. (1997) Observation of 3-dimensional internal structure of rock using X-ray CT: (1) density calibration of CT value. Geoinformatics, 8, 239–55 (Japanese with English abstract).CrossRefGoogle Scholar
Nakashima, Y., Hirai, H., Koishikawa, A. and Ohtani, T. (1997) Three-dimensional imaging of arrays of fluid inclusions in fiuorite by high-resolution X-ray CT. Neues Jahrb. Mineral. Mh., 559–68.CrossRefGoogle Scholar
Philpotts, A.R, Shi, J. and Brustman, C. (1998) Role of plagioclase crystal chains in the differentiation of partly crystallized basaltic magma. Nature, 395, 343–6.CrossRefGoogle Scholar
Raynaud, S., Fabre, D., Mazerolle, F., Geraud, Y. and Latiere, H. (1989) Analysis of the internal structure of rocks and characterization of mechanical deformation by a non-destructive method: X-ray tomodensitometry. Tectonophysics, 159, 149–59.CrossRefGoogle Scholar
Simigian, S. and Starkey, J. (1986) Automated grain shape analysis. J. Struct. Geol, 8, 589–92.CrossRefGoogle Scholar
Simpson, D.R. (1962) Graphic granite from the Ramona pegmatite district, California. Amer. Mineral., 47, 1123–38.Google Scholar
Stauffer, D. (1985) Introduction to Percolation Theory. Taylor & Francis, Philadelphia, PA, USA.CrossRefGoogle Scholar
Stel, H. (1992) Diagnostic microstructures for primary and deformational quartz rods in graphic granite. Amer. Mineral., 77, 329–35.Google Scholar
Wahlstrom, E.E. (1939) Graphic granite. Amer. Mineral., 24, 681–98.Google Scholar