Home Physical Sciences Improving grain size analysis using computer vision techniques and implications for grain growth kinetics
Article
Licensed
Unlicensed Requires Authentication

Improving grain size analysis using computer vision techniques and implications for grain growth kinetics

  • Isra S. Ezad , Joshua F. Einsle , David P. Dobson , Simon A. Hunt ORCID logo , Andrew R. Thomson and John P. Brodholt
Published/Copyright: January 26, 2022
Become an author with De Gruyter Brill

Abstract

Earth’s physical properties and mantle dynamics are strongly dependent on mantle grain size, shape, and orientation, but these characteristics are poorly constrained. Experimental studies provide an opportunity to simulate the grain growth kinetics of mantle aggregates. The experimentally determined grain sizes can be fit to the normal grain growth law (GnGn0) = k0t∙exp(–ΔH/RT) and then be used to determine grain size throughout the mantle and geological time. The grain growth dynamics of spinel-orthopyroxene mixtures in the upper mantle are modeled here by experimentally producing small grain sizes in the range of 0.5 to 2 μm radius at pressures and temperatures equivalent to the spinel lherzolite stability field. To accurately measure the sizes of these small grains, we have developed a computer vision workflow; using a watershed transformation, which rapidly measures 68% more grains and produces a 20% improvement in the average grain size accuracy and repeatability when compared with manual methods. Using this automated approach, we have been able to identify a significant proportion of small grains, which have been overlooked when using manual methods. This additional population of grains, when fit to the normal grain growth law, highlights the influence of improved accuracy and sample size on the estimation of grain growth kinetic parameters. Our results demonstrate that automatic computer vision enables a systematic, fast, repeatable method of grain size analysis, across large data sets, improving the accuracy of experimentally determined grain growth kinetics.

Funding statement: This work was part of ISE’s NERC-funded Ph.D. (award NE/M00046X/1 to J.B. and D.D.). J.F.E. acknowledges funding under ERC Advanced Grant 320750-Nanopaleomagnetism.

Acknowledgments

We thank James Davy for assistance with SEM imaging at UCL and Duncan Muir for imaging at Cardiff University. The “inexpert investigators” were third-year undergraduate students at UCL (GEOL0039; 2018-19 cohort). We thank two anonymous reviewers for their comments, which helped improve this manuscript, and Bin Chen for his editorial handling.

References cited

Abrams, H. (1971) Grain size measurements by the intercept method. Metallography, 4, 59–78.10.1016/0026-0800(71)90005-XSearch in Google Scholar

Andrew, M. (2018) A quantified study of segmentation techniques on synthetic geological XRM and FIB-SEM images. Computational Geosciences, 22, 1503–1512.10.1007/s10596-018-9768-ySearch in Google Scholar

ASTM E112-13 (2012) Standard Test Method for Determining Average Grain Size. ASTM International.Search in Google Scholar

Atkinson, H.V. (1988) Overview no. 65. Theories of normal grain growth in pure single phase systems. Acta Metallurgica, 36, 469–491.10.1016/0001-6160(88)90079-XSearch in Google Scholar

Barraud, J. (2006) The use of watershed segmentation and GIS software for textural analysis of thin sections. Journal of Volcanology and Geothermal Research, 154, 17–33.10.1016/j.jvolgeores.2005.09.017Search in Google Scholar

Bercovici, D., and Ricard, Y. (2013) Generation of plate tectonics with two-phase grain-damage and pinning: Source-sink model and toroidal flow. Earth and Planetary Science Letters, 365, 275–288.10.1016/j.epsl.2013.02.002Search in Google Scholar

Beucher, S. (1982) Watersheds of functions and picture segmentation. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing—Proceedings, Paris. p. 1928–1931.10.1109/ICASSP.1982.1171424Search in Google Scholar

Beucher, S. (1994) Watershed, Hierarchical Segmentation and Waterfall Algorithm, p. 69–76. Springer.10.1007/978-94-011-1040-2_10Search in Google Scholar

Bhanot, K.K., Downes, H., Petrone, C.M., and Humphreys-Williams, E. (2017) Textures in spinel peridotite mantle xenoliths using micro-CT scanning: Examples from Canary Islands and France. Lithos, 276, 90–102.10.1016/j.lithos.2016.08.004Search in Google Scholar

Buades, A., Coll, B., and Morel, J.M. (2005) A non-local algorithm for image denoising. Proceedings—2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition, CVPR 2005, II, 60–65.10.1109/CVPR.2005.38Search in Google Scholar

Burke, J.E., and Turnbull, D. (1952) Recrystallization and grain growth. Progress in Metal Physics, 3, 220–292.10.1016/0502-8205(52)90009-9Search in Google Scholar

Campbell, A.J., Danielson, L., Righter, K., Seagle, C.T., Wang, Y., and Prakapenka, V.B. (2009) High pressure effects on the iron-iron oxide and nickel-nickel oxide oxygen fugacity buffers. Earth and Planetary Science Letters, 286, 556–564.10.1016/j.epsl.2009.07.022Search in Google Scholar

Campbell, A., Murray, P., Yakushina, E., Marshall, S., and Ion, W. (2018) New methods for automatic quantification of microstructural features using digital image processing. Materials & Design, 141, 395–406.10.1016/j.matdes.2017.12.049Search in Google Scholar

Carracedo, J.C., Rodriguez Badiola, E., and Soler, V. (1992) The 1730–1736 eruption of Lanzarote, Canary Islands: A long, high-magnitude basaltic fissure eruption. Journal of Volcanology and Geothermal Research, 53, 239–250.10.1016/0377-0273(92)90084-QSearch in Google Scholar

Chambolle, A. (2004) An algorithm for total variation minimization and applications. Journal of Mathematical Imaging and Vision, 20, 89–97.10.1023/B:JMIV.0000011321.19549.88Search in Google Scholar

Chu, X., and Korenaga, J. (2012) Olivine rheology, shear stress, and grain growth in the lithospheric mantle: Geological constraints from the Kaapvaal craton. Earth and Planetary Science Letters, 333-334, 52–62.10.1016/j.epsl.2012.04.019Search in Google Scholar

Dannberg, J., Eilon, Z., Faul, U., Gassmöller, R., Moulik, P., and Myhill, R. (2017) The importance of grain size to mantle dynamics and seismological observations. Geochemistry, Geophysics, Geosystems, 18, 3034–3061.10.1002/2017GC006944Search in Google Scholar

de la Peña, F., Prestat, E., Fauske, V.T., Burdet, P., Jokubauskas, P., Nord, M., Ostasevicius, T., MacArthur, K.E., Sarahan, M., and Johnstone, D.N. and others (2019) hyperspy/hyperspy: HyperSpy v1.5.2. Zenodo.Search in Google Scholar

Dobson, D.P., and Mariani, E. (2014) The kinetics of the reaction of majorite plus ferropericlase to ringwoodite: Implications for mantle upwellings crossing the 660 km discontinuity. Earth and Planetary Science Letters, 408, 110–118.10.1016/j.epsl.2014.10.009Search in Google Scholar

Dohmen, R., Ter Heege, J.H., Becker, H.-W., and Chakraborty, S. (2016) Fe-Mg interdiffusion in orthopyroxene. American Mineralogist, 101, 2210–2221.10.2138/am-2016-5815Search in Google Scholar

Einsle, J.F., Martineau, B., Buisman, I., Vukmanovic, Z., Johnstone, D., Eggeman, A., Midgley, P.A., and Harrison, R.J. (2018) All mixed up: Using machine learning to address heterogeneity in (natural) materials. Microscopy and Microanalysis, 24, 562–563.10.1017/S1431927618003306Search in Google Scholar

Evans, B., Renner, J., and Hirth, G. (2001) A few remarks on the kinetics of static grain growth in rocks. International Journal of Earth Sciences, 90, 88–103.10.1007/s005310000150Search in Google Scholar

Faul, U., and Jackson, I. (2005) The seismological signature of temperature and grain size variations in the upper mantle. Earth and Planetary Science Letters, 234, 119–134.10.1016/j.epsl.2005.02.008Search in Google Scholar

Faul, U.H., and Scott, D. (2006) Grain growth in partially molten olivine aggregates. Contributions to Mineralogy and Petrology, 151, 101–111.10.1007/s00410-005-0048-1Search in Google Scholar

Hillert, M. (1965) On the theory of normal and abnormal grain growth. Acta Metallurgica, 13, 227–238.10.1016/0001-6160(65)90200-2Search in Google Scholar

Hiraga, T., Tachibana, C., Ohashi, N., and Sano, S. (2010a) Grain growth systematics for fosterite + enstatite aggreates: Effect of lithology of grain size in the upper mantle. Earth and Planetary Science Letters, 291, 10–20.10.1016/j.epsl.2009.12.026Search in Google Scholar

Hiraga, T., Miyazaki, T., Tasaka, M., and Yoshida, H. (2010b) Mantle superplasticity and its self-made demise. Nature, 468, 1091–1094.10.1038/nature09685Search in Google Scholar

Hirth, G., and Kohlstedt, D.L. (1995) Experimental constraints on the dynamics of the partially molten upper mantle: 2. Deformation in the dislocation creep regime. Journal of Geophysical Research: Solid Earth, 100, 15441–15449.10.1029/95JB01292Search in Google Scholar

Karato, S. (1989) Grain growth kinetics in olivine aggregates. Tectonophysics, 168, 255–273.10.1016/0040-1951(89)90221-7Search in Google Scholar

Karato, S.I. (1984) Grain-size distribution and rheology of the upper mantle. Tectonophysics, 104, 155–176.10.1016/0040-1951(84)90108-2Search in Google Scholar

Kim, B.N., Hiraga, K., and Morita, K. (2004) Kinetics of normal grain growth depending on the size distribution of small grains. Journal of the Japan Institute of Metals, 68, 913–918.10.2320/matertrans.44.2239Search in Google Scholar

Kluyver, T., Ragan-Kelley, B., Pérez, F., Granger, B., Bussonnier, M., Frederic, J., Kelley, K., Hamrick, J., Grout, J., and Corlay, S. and others (2016) Jupyter Notebooks—A publishing format for reproducible computational workflows. Positioning and Power in Academic Publishing: Players, Agents and Agendas, 87–90.Search in Google Scholar

Malpica, N., De Solórzano, C.O., Vaquero, J.J., Santos, A., Vallcorba, I., García-Sagredo, J.M., and Del Pozo, F. (1997) Applying watershed algorithms to the segmentation of clustered nuclei. Cytometry, 28, 289–297.10.1002/(SICI)1097-0320(19970801)28:4<289::AID-CYTO3>3.0.CO;2-7Search in Google Scholar

Maxwell, J.C. (1870) On hills and dales. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 40, 421–427.10.1017/CBO9780511710377.018Search in Google Scholar

McKinney, W. (2011) pandas: A Foundational Python Library for Data Analysis and Statistics. Conference Proceedings. Python High Performance Science Computer.Search in Google Scholar

Mendelson, M.I. (1969) Average grain size in polycrystalline ceramics. Journal of the American Ceramic Society, 52, 443–446.10.1111/j.1151-2916.1969.tb11975.xSearch in Google Scholar

Najman, L., Couprie, M., Bertrand, G., Najman, L., Couprie, M., and Watersheds, G.B. (2005) Watersheds, mosaics and the emergence paradigm. Discrete Applied Mathematics, 147(2-3), 301–324.10.1016/j.dam.2004.09.017Search in Google Scholar

Neumann, E.R., Wulff-Pedersen, E., Johnsen, K., Andersen, T., and Krogh, E. (1995) Petrogenesis of spinel harzburgite and dunite suite xenoliths from Lanzarote, eastern Canary Islands: Implications for the upper mantle. Lithos, 35, 83–107.10.1016/0024-4937(95)91153-ZSearch in Google Scholar

Nishihara, Y., Takahashi, E., Matsukage, K.N., Iguchi, T., Nakayama, K., and Funakoshi, K. (2004) Thermal equation of state of (Mg0.91Fe0.09)2SiO4 ringwoodite. Physics of the Earth and Planetary Interiors, 143-144, 33–46.10.1016/j.pepi.2003.02.001Search in Google Scholar

Nishihara, Y., Shinmei, T., and Karato, S.I. (2006) Grain-growth kinetics in wadsleyite: Effects of chemical environment. Physics of the Earth and Planetary Interiors, 154, 30–43.10.1016/j.pepi.2005.08.002Search in Google Scholar

Nishihara, Y., Tinker, D., Kawazoe, T., Xu, Y., Jing, Z., Matsukage, K.N., and Karato, S.I. (2008) Plastic deformation of wadsleyite and olivine at high-pressure and high-temperature using a rotational Drickamer apparatus (RDA). Physics of the Earth and Planetary Interiors, 170, 156–169.10.1016/j.pepi.2008.03.003Search in Google Scholar

Orear, J. (1982) Least squares when both variables have uncertainties. American Journal of Physics, 50, 912–916.10.1119/1.12972Search in Google Scholar

Rios, P.R., and Zöllner, D. (2018) Grain growth–unresolved issues. Materials Science and Technology (Technology), 34, 629–638.10.1080/02670836.2018.1434863Search in Google Scholar

Rossouw, D., Burdet, P., de la Peña, F., Ducati, C., Knappett, B.R., Wheatley, A.E.H., and Midgley, P.A. (2015) Multicomponent signal unmixing from nanoheterostructures: Overcoming the traditional challenges of nanoscale X-ray analysis via machine learning. Nano Letters, 15, 2716–2720.10.1021/acs.nanolett.5b00449Search in Google Scholar PubMed PubMed Central

Saetre, T.O. (2002) On the theory of normal grain growth in two dimensions. Acta Materialia, 50, 1539–1546.10.1016/S1359-6454(02)00010-1Search in Google Scholar

Schneider, C.A., Rasband, W.S., and Eliceiri, K.W. (2012) NIH Image to ImageJ: 25 years of image analysis. Nature Methods, 9, 671–675.10.1038/nmeth.2089Search in Google Scholar

Soille, P., and Ansoult, M. (1990) Automated basin delineation from digital elevation models using mathematical morphology. Signal Processing, 20, 171–182.10.1016/0165-1684(90)90127-KSearch in Google Scholar

Solomatov, V.S., and Reese, C.C. (2008) Grain size variations in the Earth’s mantle and the evolution of primordial chemical heterogeneities. Journal of Geophysical Research, 113, B07408.10.1029/2007JB005319Search in Google Scholar

Solomatov, V.S., El-Khozondar, R., and Tikare, V. (2002) Grain size in the lower mantle: Constraints from numerical modeling of grain growth in two-phase systems. Physics of the Earth and Planetary Interiors, 129, 265–282.10.1016/S0031-9201(01)00295-3Search in Google Scholar

Stall, S., Yarmey, L., Cutcher-Gershenfeld, J., Hanson, B., Lehnert, K., Nosek, B., Parsons, M., Robinson, E., and Wyborn, L. (2019) Make scientific data FAIR. Nature, 570, 27–29.10.1038/d41586-019-01720-7Search in Google Scholar PubMed

Tsujino, N., and Nishihara, Y. (2009) Grain-growth kinetics of ferropericlase at high-pressure. Physics of the Earth and Planetary Interiors, 174, 145–152.10.1016/j.pepi.2008.04.002Search in Google Scholar

Tsujino, N., and Nishihara, Y. (2010) Effect of pressure on grain-growth kinetics of ferropericlase to lower mantle conditions. Geophysical Research Letters, 37, 1–5.10.1029/2010GL043491Search in Google Scholar

van der Walt, S., Schönberger, J.L., Nunez-Iglesias, J., Boulogne, F., Warner, J.D., Yager, N., Gouillart, E., and Yu, T. and the Scikit-image contributors. (2014) Scikit-image: Image processing in Python. PeerJ, 2, e453.10.7717/peerj.453Search in Google Scholar PubMed PubMed Central

Wang, W. (2007) Image analysis of size and shape of mineral particles. Proceedings—Fourth International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2007, 4, 41–44.10.1109/FSKD.2007.353Search in Google Scholar

Wright, S.I. (2010) A parametric study of electron backscatter diffraction based grain size measurements. Practical Metallography, 47, 16–33.10.3139/147.110060Search in Google Scholar

Yamazaki, D., Kato, T., Ohtani, E., and Toriumi, M. (1996) Grain growth rates of MgSiO3 perovskite and periclase under lower mantle conditions. Science, 274, 2052–2054.10.1126/science.274.5295.2052Search in Google Scholar PubMed

Yamazaki, D., Inoue, T., Okamoto, M., and Irifune, T. (2005) Grain growth kinetics of ringwoodite and its implication for rheology of the subducting slab. Earth and Planetary Science Letters, 236, 871–881.10.1016/j.epsl.2005.06.005Search in Google Scholar

Yamazaki, D., Yoshino, T., Matsuzaki, T., Katsura, T., and Yoneda, A. (2009) Texture of (Mg,Fe)SiO3 perovskite and ferro-periclase aggregate: Implications for rheology of the lower mantle. Physics of the Earth and Planetary Interiors, 174, 138–144.10.1016/j.pepi.2008.11.002Search in Google Scholar

Yamazaki, D., Matsuzaki, T., Yoshino, T., Suetsugu, D., Bina, C., Inoue, T., Wiens, D., and Jellinek, M. (2010) Grain growth kinetics of majorite and stishovite in MORB. Physics of the Earth and Planetary Interiors, 183, 183–189.10.1016/j.pepi.2010.09.009Search in Google Scholar

Yousefi, J. (2015) Image binarization using Otsu Thresholding Algorithm. Preprint, Research Gate, 4 pages (PDF). DOI:10.13140/RG.2.1.4758.928410.13140/RG.2.1.4758.9284Search in Google Scholar

Received: 2020-09-08
Accepted: 2021-01-14
Published Online: 2022-01-26
Published in Print: 2022-02-23

© 2022 Mineralogical Society of America

Articles in the same Issue

  1. Alumino-oxy-rossmanite from pegmatites in Variscan metamorphic rocks from Eibenstein an der Thaya, Lower Austria, Austria: A new tourmaline that represents the most Al-rich end-member composition
  2. Fluorine partitioning between quadrilateral clinopyroxenes and melt
  3. Multi-stage magma evolution recorded by apatite and zircon of adakite-like rocks: A case study from the Shatanjiao intrusion, Tongling region, Eastern China
  4. The physical and chemical evolution of magmatic fluids in near-solidus silicic magma reservoirs: Implications for the formation of pegmatites
  5. Texture, geochemistry, and geochronology of titanite and pyrite: Fingerprint of magmatic-hydrothermal fertile fluids in the Jiaodong Au province
  6. Polytypism in semi-disordered lizardite and amesite by low-dose HAADF-STEM
  7. Peralkalinity in peraluminous granitic pegmatites. I. Evidence from whewellite and hydrogen carbonate in fluid inclusions
  8. Peralkalinity in peraluminous granitic pegmatites. II. Evidence from experiments on carbonate formation in spodumene-bearing assemblages
  9. Ab initio study of structural, elastic and thermodynamic properties of Fe3S at high pressure: Implications for planetary cores
  10. Removal of barite from zircon using an aqueous solution of diethylenetriaminepentaacetic acid and potassium carbonate
  11. Improving grain size analysis using computer vision techniques and implications for grain growth kinetics
  12. Crystal chemistry of arsenian pyrites: A Raman spectroscopic study
  13. Formation of the Maoniuping giant REE deposit: Constraints from mineralogy and in situ bastnäsite U-Pb geochronology
  14. Amphibole as a witness of chromitite formation and fluid metasomatism in ophiolites
  15. Ferro-papikeite, ideally NaFe2 2+(Fe32+Al2)(Si5Al3)O22(OH)2, a new orthorhombic amphibole from Nordmark (Western Bergslagen), Sweden: Description and crystal structure
  16. Letter
  17. HP-PdF2-type FeCl2 as a potential Cl-carrier in the deep Earth
  18. New Mineral Names: Alteration Products
  19. American Mineralogist thanks the 2021 reviewers
Downloaded on 16.3.2026 from https://www.degruyterbrill.com/document/doi/10.2138/am-2021-7797/html
Scroll to top button