Technical Papers
Jan 2, 2020

Shape Characterization of Fragmented Sand Grains via X-Ray Computed Tomography Imaging

Publication: International Journal of Geomechanics
Volume 20, Issue 3

Abstract

The mechanical and hydraulic properties of granular materials are fundamentally affected by the grain size and shape. Three samples of uniformly graded quartz sand with different size ranges were subjected to one-dimensional compression tests up to 40 MPa to fracture the sand into fragments with a variety of sizes and shapes. X-ray computed tomography was used to obtain the morphology of the crushed sand at a resolution of 2.8 μm. A practical divide and stitch method was proposed and implemented to automatically separate and extract individual grains for morphological analysis. This method can reduce the misidentification of grains and voids. Scans of 5,481 grains were used to quantify the three-dimensional morphological properties of grains of different sizes and shapes. The shape descriptors of elongation, flatness, and sphericity were the best way to describe the grain shape. The intermediate Feret diameter was the best parameter for characterizing the grain size. The smaller fragments from the crushed sand were more elongated and had higher flatness and convexity. The distributions of elongation, flatness, sphericity, and convexity for grains in different size ranges followed a normal distribution. The standard deviation in the grain shape descriptors increased for the small grain sizes. The volume and surface area of the grains can be predicted with high confidence using elongation, flatness, and intermediate Feret diameter. Convexity needs to be used along with elongation and flatness to estimate sphericity reliably.

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Data Availability Statement

Some or all data, models, or code generated or used during the study are available from the corresponding author by request.

Acknowledgments

This work was support by grants from the Key Program of National Natural Science Foundation of China (41630643), the National Key Research and Development Program of China (2017YFC1501302), the China Postdoctoral Science Foundation (2018M642952), and by the Postdoctoral International Exchange Program, BC Oil and Gas Commission, and Mitacs.

References

Alam, M., and A. Haque. 2017. “A new cluster analysis-marker-controlled watershed method for separating particles of granular soils.” Materials 10 (10): 1195. https://doi.org/10.3390/ma10101195.
Alam, M., A. Haque, and P. Ranjith. 2018. “A study of the particle-level fabric and morphology of granular soils under one-dimensional compression using insitu X-ray CT imaging.” Materials 11 (6): 919. https://doi.org/10.3390/ma11060919.
Al Mahbub, A., and A. Haque. 2016. “X-ray computed tomography imaging of the microstructure of sand particles subjected to high pressure one-dimensional compression.” Materials 9 (11): 890. https://doi.org/10.3390/ma9110890.
Alshibli, K. A., A. M. Druckrey, R. I. Al-Raoush, T. Weiskittel, and N. V. Lavrik. 2014. “Quantifying morphology of sands using 3D imaging.” J. Mater. Civ. Eng. 27 (10): –04014275. https://doi.org/10.1061/(ASCE)MT.1943-5533.0001246.
Altuhafi, F., C. O’Sullivan, and I. Cavarretta. 2013. “Analysis of an image-based method to quantify the size and shape of sand particles.” J. Geotech. Geoenviron. 139 (8): 1290–1307. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000855.
ASTM. 2010. Standard test method for flat particles, elongated particles, or flat and elongated particles in coarse aggregate. ASTM D 4791. West Conshohocken, PA: ASTM.
Bagheri, G. H., C. Bonadonna, I. Manzella, and P. Vonlanthen. 2015. “On the characterization of size and shape of irregular particles.” Powder Technol. 270 (Jan): 141–153. https://doi.org/10.1016/j.powtec.2014.10.015.
Bareither, C. A., T. B. Edil, C. H. Benson, and D. M. Mickelson. 2008. “Geological and physical factors affecting the friction angle of compacted sands.” J. Geotech. Geoenviron. 134 (10): 1476–1489. https://doi.org/10.1061/(ASCE)1090-0241(2008)134:10(1476).
Barrett, P. J. 1980. “The shape of rock particles: A critical review.” Sedimentology 27 (3): 291–303. https://doi.org/10.1111/j.1365-3091.1980.tb01179.x.
Blott, S. J., and K. Pye. 2008. “Particle shape: A review and new methods of characterization and classification.” Sedimentology 55 (1): 31–63. https://doi.org/10.1111/j.1365-3091.2007.00892.x.
Buades, A., B. Coll, and J. M. Morel. 2005. “A non-local algorithm for image denoising.” In Proc., IEEE Computer Society Conf. on Computer Vision and Pattern Recognition, 60–65. Piscataway, NJ: IEEE.
Chapuis, R. P. 2012. “Predicting the saturated hydraulic conductivity of soils: A review.” Bull. Eng. Geol. Environ. 71 (3): 401–434. https://doi.org/10.1007/s10064-012-0418-7.
Cho, G. C., J. Dodds, and J. C. Santamarina. 2006. “Particle shape effects on packing density, stiffness, and strength: Natural and crushed sands.” J. Geotech. Geoenviron. 132 (5): 591–602. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:5(591).
Fair, G. M., and L. P. Hatch. 1933. “Fundamental factors governing the stream-line flow of water through sand.” J. Am. Water Works Assn. 25 (11): 1551–1565. https://doi.org/10.1002/j.1551-8833.1933.tb18342.x.
Ferellec, J., and G. McDowell. 2010. “Modelling realistic shape and particle inertia in DEM.” Géotechnique 60 (3): 227–232. https://doi.org/10.1680/geot.9.T.015.
Fonseca, J., C. O’Sullivan, M. R. Coop, and P. D. Lee. 2012. “Non-invasive characterization of particle morphology of natural sands.” Soils Found. 52 (4): 712–722. https://doi.org/10.1016/j.sandf.2012.07.011.
Gibbons, J. D. 1985. Nonparametric statistical inference. New York: M. Dekker.
Guo, P. 2012. “Dependency of tortuosity and permeability of porous media on directional distribution of pore voids.” Transp. Porous Media 95 (2): 285–303. https://doi.org/10.1007/s11242-012-0043-8.
Kong, D., and J. Fonseca. 2018. “Quantification of the morphology of shelly carbonate sands using 3D images.” Géotechnique 68 (3): 249–261. https://doi.org/10.1680/jgeot.16.P.278.
Krumbein, W. C., and L. L. Sloss. 1951. Stratigraphy and sedimentation. San Francisco: Freeman and Company.
Kuo, C. Y., and R. B. Freeman. 2000. “Imaging indices for quantification of shape, angularity and surface texture of aggregates.” Transp. Res. Rec. 1721 (1): 57–65. https://doi.org/10.3141/1721-07.
Lin, C. L., and J. D. Miller. 2005. “3D characterization and analysis of particle shape using X-ray microtomography (XMT).” Powder Technol. 154 (1): 61–69. https://doi.org/10.1016/j.powtec.2005.04.031.
Mitchell, J. K., and K. Soga. 2005. Fundamentals of soil behavior. New York: Wiley.
Otsu, N. 1979. “A threshold selection method from gray-level histograms.” IEEE Trans. Syst. Man Cybern. 9 (1): 62–66. https://doi.org/10.1109/TSMC.1979.4310076.
Ouhbi, N., C. Voivret, G. Perrin, and J. N. Roux. 2017. “3D particle shape modelling and optimization through proper orthogonal decomposition.” Granular Matter 19 (4): 86. https://doi.org/10.1007/s10035-017-0771-0.
Rao, C., and E. Tutumluer. 2000. “Determination of volume of aggregates: New image-analysis approach.” Transp. Res. Rec. 1721 (1): 73–80. https://doi.org/10.3141/1721-09.
Rousé, P. C., R. J. Fannin, and D. A. Shuttle. 2008. “Influence of roundness on the void ratio and strength of uniform sand.” Géotechnique 58 (3): 227–231. https://doi.org/10.1680/geot.2008.58.3.227.
Runkel, A. C., K. Syverson, J. Steenberg, M. Bendernagel, A. Bauer, A. Kent, M. Thompson, T. Stauffer, and B. Brown. 2012. “Field guidebook on the silica sand resources of western Wisconsin.” In Proc., Conf. on the Silica Sand Resources of Minnesota and Wisconsin. Duluth, MI: Precambrian Research Center, Univ. of Minnesota Duluth.
Santamarina, J. C., and G. C. Cho. 2004. “Soil behaviour: The role of particle shape.” In Proc., Advances in Geotechnical Engineering: The Skempton Conf. London: Institution of Civil Engineers.
Schneider, C. A., W. S. Rasband, and K. W. Eliceiri. 2012. “NIH image to imageJ: 25 years of image analysis.” Nat. Methods 9 (7): 671–675. https://doi.org/10.1038/nmeth.2089.
Shin, H., and J. C. Santamarina. 2013. “Role of particle angularity on the mechanical behavior of granular mixtures.” J. Geotech. Geoenviron. 139 (2): 353–355. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000768.
Sun, Y., B. Indraratna, and S. Nimbalkar. 2014. “Three-dimensional characterisation of particle size and shape for ballast.” Geotech. Lett. 4 (3): 197–202. https://doi.org/10.1680/geolett.14.00036.
Taylor, M. A., E. J. Garboczi, S. T. Erdogan, and D. W. Fowler. 2006. “Some properties of irregular 3-D particles.” Powder Technol. 162 (1): 1–15. https://doi.org/10.1016/j.powtec.2005.10.013.
Wadell, H. 1933. “Sphericity and roundness of rock particles.” J. Geol. 41 (3): 310–331. https://doi.org/10.1086/624040.
Wadell, H. 1935. “Volume, shape, and roundness of quartz particles.” J. Geol. 43 (3): 250–280. https://doi.org/10.1086/624298.
Wei, H., T. Zhao, J. He, Q. Meng, and X. Wang. 2017. “Evolution of particle breakage for calcareous sands during ring shear tests.” Int. J. Geomech. 18 (2): 04017153. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001073.
Wettimuny, R., and D. Penumadu. 2004. “Application of Fourier analysis to digital imaging for particle shape analysis.” J. Comput. Civ. Eng. 18 (1): 2–9. https://doi.org/10.1061/(ASCE)0887-3801(2004)18:1(2).
Xiao, Y., L. Long, T. M. Evans, H. Zhou, H. Liu, and A. W. Stuedlein. 2019a. “Effect of particle shape on stress-dilatancy responses of medium-dense sands.” J. Geotech. Geoenviron. Eng. 145 (2): 04018105. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001994.
Xiao, Y., Z. Yuan, J. Chu, H. Liu, J. Huang, S. N. Luo, S. Wang, and J. Lin. 2019b. “Particle breakage and energy dissipation of carbonate sands under quasi-static and dynamic compression.” Acta Geotech. 14 (6): 1741–1755.
Yan, W., and D. Su. 2018. “Inferring 3D particle size and shape characteristics from projected 2D images: Lessons learned from ellipsoids.” Comput. Geotech. 104 (Dec): 281–287. https://doi.org/10.1016/j.compgeo.2017.11.015.
Zheng, J., and R. D. Hryciw. 2016. “Roundness and sphericity of soil particles in assemblies by computational geometry.” J. Comput. Civ. Eng. 30 (6): 04016021. https://doi.org/10.1061/(ASCE)CP.1943-5487.0000578.
Zheng, J., and R. D. Hryciw. 2017. “Soil particle size and shape distributions by stereophotography and image analysis.” Geotech. Test. J. 40 (2): 317–328. https://doi.org/10.1520/GTJ20160165.
Zheng, W. 2017. “Laboratory and discrete element study of proppant crushing and embedment and their influence on fracture conductivity.” Doctoral dissertation, School of Engineering, Univ. of British Columbia.
Zheng, W., S. C. Silva, and D. D. Tannant. 2018. “Crushing characteristics of four different proppants and implications for fracture conductivity.” J. Nat. Gas Sci. Eng. 53 (May): 125–138. https://doi.org/10.1016/j.jngse.2018.02.028.
Zheng, W., D. Tannant, and A. B. Phillion. 2016. “Evaluation of frac sand permeability under high compressive stress by combining grain imaging and discrete element modelling.” In Proc., Int. Conf. on Geomechanics, Geo-energy and Geo-resources. Melbourne, VIC: Monash Univ.
Zheng, W., and D. D. Tannant. 2016. “Frac sand crushing characteristics and morphology changes under high compressive stress and implications for sand pack permeability.” Can. Geotech. J. 53 (9): 1412–1423. https://doi.org/10.1139/cgj-2016-0045.
Zheng, W., and D. D. Tannant. 2017. “Improved estimate of the effective diameter for use in the Kozeny–Carman equation for permeability prediction.” Géotech. Lett. 7 (1): 1–5. https://doi.org/10.1680/jgele.16.00088.
Zheng, W., and D. D. Tannant. 2018. “Grain breakage criteria for discrete element models of sand crushing under one-dimensional compression.” Comp. Geotech. 95 (Mar): 231–239. https://doi.org/10.1016/j.compgeo.2017.10.004.
Zheng, W., and D. D. Tannant. 2019. “Influence of proppant fragmentation on fracture conductivity—Insights from three-dimensional discrete element modeling.” J. Petrol. Sci. Eng. 177 (Jun): 1010–1023. https://doi.org/10.1016/j.petrol.2019.03.015.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 20Issue 3March 2020

History

Received: Dec 19, 2018
Accepted: Aug 14, 2019
Published online: Jan 2, 2020
Published in print: Mar 1, 2020
Discussion open until: Jun 2, 2020

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Wenbo Zheng [email protected]
Postdoctoral Researcher, Faculty of Engineering, China Univ. of Geosciences, Wuhan, Hubei 430074, People’s Republic of China; School of Engineering, Univ. of British Columbia, Kelowna, BC, Canada V1V 1V7. Email: [email protected]
Professor, Faculty of Engineering, China Univ. of Geosciences, 388 Lumo Rd., Wuhan, Hubei 430074, People’s Republic of China (corresponding author). Email: [email protected]
Dwayne D. Tannant [email protected]
Professor, School of Engineering, Univ. of British Columbia, Kelowna, BC, Canada V1V 1V7. Email: [email protected]

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