Abstract
Particle granulometry plays an important role in the engineering behavior of many sands. However, the evaluation of particle shape and size has historically been a tedious and labor-intensive process. The recent availability of dynamic image analysis (DIA) makes it possible to evaluate many particle shape and size parameters, quickly and conveniently. These shape parameters include sphericity, roundness, aspect ratio, circularity, and convexity; while size descriptors include the diameter of a circle of equal projection area (EQPC), a variety of Feret diameters, as well as inscribed and circumscribed circle diameters. The terms roundness and sphericity are commonly used to describe how close a particle resembles a sphere, with many definitions in common use. However, it is not immediately evident how these roundness descriptors correlate. The correlation of nine shape and six size descriptors was investigated for six sands that reflect the breadth of particle shapes and sizes that may be encountered. The analysis was based on 1,000 images of each sand obtained using two-dimensional DIA apparatus. The study demonstrates that there is no correlation between size and shape parameters, and that shape descriptors can be reduced to four independent shape parameters representing the granulometry of sand at different scales. The use of size and shape descriptors for classification of sand was explored using six machine learning algorithms including support vector machines (SVMs), random forest, decision tree, bagging tree, -nearest neighbors (KNN), and bagging KNN. Classification accuracies of 77% and 66% were achieved using size and shape features, respectively. The mean accuracy improved to 87% when combining both size and shape descriptors using bagging KNN and random forest classifiers. The analysis also revealed an important hierarchy of size and shape features employed, with EQPC and Wadell’s roundness alone classifying sands with 70% accuracy.
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Data Availability Statement
Particle images employed in this study are available from the corresponding author upon reasonable request.
Acknowledgments
The tested sand sample of Peace River was purchased from the Carib Sea company, and Ottawa and quartz sands were purchased from AGSCO, Inc. Marine sand was collected by the RV Investigator on Voyage IN2017_T01 and was freely provided by CSIRO Marine National Facility (MNF), courtesy of Dr. Ryan Beemer.
References
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. Eng. 139 (8): 1290–1307. https://doi.org/10.1061/(ASCE)GT.1943-5606.0000855.
Altuhafi, F. N., M. R. Coop, and V. N. Georgiannou. 2016. “Effect of particle shape on the mechanical behavior of natural sands.” J. Geotech. Geoenviron. Eng. 142 (12): 04016071. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001569.
ASTM. 2016. Standard practice for characterization of particles. ASTM F1877. West Conshohocken, PA; ASTM.
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. Eng. 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.
Beemer, R. D., A. Bandini-Maeder, J. Shaw, and M. J. Cassidy. 2020. “Volumetric particle size distribution and variable granular density soils.” Geotech. Test. J. 43 (2): 517–533. https://doi.org/10.1520/GTJ20180286.
Beemer, R. D., A. N. Bandini-Maeder, J. Shaw, U. Lebrec, and M. J. Cassidy. 2018. “The granular structure of two marine carbonate sediments.” In Proc., ASME 2018 37th Int. Conf. on Ocean, Offshore and Arctic Engineering. New York: ASME.
Beemer, R. D., A. Sadekov, U. Lebrec, J. Shaw, A. N. Bandini-Maeder, and M. J. Cassidy. 2019. “Impact of biology on particle crushing in offshore calcareous sediments.” In GeoCongress 2019, Geotechnical Special Publication 310. Reston, VA: ASCE. https://doi.org/10.1061/9780784482124.065.
Benesty, J., J. Chen, Y. Huang, and I. Cohen. 2009. “Pearson correlation coefficient.” In Noise reduction in speech processing, 1–4. Berlin: Springer.
Boser, B. E., I. M. Guyon, and V. N. Vapnik. 1992. “A training algorithm for optimal margin classifiers.” In Proc., 5th Annual Workshop on Computational Learning Theory, 144–152. New York: Association for Computing Machinery.
Cabalar, A. F., and N. Akbulut. 2016. “Effects of the particle shape and size of sands on the hydraulic conductivity.” Acta Geotechnica Slovenica 13 (2): 83–93.
Cailleux, A. 1947. “L‘indice d’6mousse: Definition et premiere application.” C.R.S. Soc. geol. Fr. 13: 250–252.
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. Eng. 132 (5): 591–602. https://doi.org/10.1061/(ASCE)1090-0241(2006)132:5(591).
Cohen, J. 1988. Statistical power analysis for the behavioral sciences. 2nd ed. Hillsdale, NJ: Erlbaum.
Cox, E. P. 1927. “A method of assigning numerical and percentage values to the degree of roundness of sand grains.” J. Paleontol. 1 (3): 179–183.
Daouadji, A., and P. Y. Hicher. 2010. “An enhanced constitutive model for crushable granular materials.” Int. J. Numer. Anal. Methods Geomech. 34 (6): 555–580. https://doi.org/10.1002/nag.815.
Dobkins, J. E., and R. L. Folk. 1970. “Shape development on Tahiti-nui.” J. Sediment. Res. 40 (4): 1167–1203.
Guo, G., H. Wang, D. Bell, Y. Bi, and K. Greer. 2003. “KNN model-based approach in classification.” In Proc., OTM Confederated Int. Conf. On the Move to Meaningful Internet Systems, 986–996. Berlin: Springer.
ISO. 2008. Representation of results of particle size analysis—Part 6: Descriptive and quantitative representation of particle shape and morphology. ISO 9276-6. Geneva: ISO.
Krumbein, W. C. 1941. “Measurement and geological significance of shape and roundness of sedimentary particles.” J. Sediment. Res. 11 (2): 64–72.
Krumbein, W. C., and F. J. Pettijohn. 1939. “Manual of sedimentary petrography. XIV+ 549 pp., 8: o, 265 fig. New York and London 1938,(1939). D. Appleton—Century company. 8 6.50 (30 s.).” Geol. Foeren. Stockholm Foerh. 61 (2): 225–227. https://doi.org/10.1080/11035893909452786.
Kuenen, P. H. 1956. “Experimental abrasion of pebbles: 2. Rolling by current.” J. Geol. 64 (4): 336–368. https://doi.org/10.1086/626370.
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.
Li, L., R. Beemer, and M. Iskander. 2021. “Granulometry of two marine calcareous sands.” J. Geotech. Geoenviron. Eng. 147 (3): 04020171. https://doi.org/10.1061/(ASCE)GT.1943-5606.0002431.
Li, L., and M. Iskander. 2020. “Evaluation of dynamic image analysis for characterizing granular soils.” Geotech. Test. J. 43 (5): 1149–1173. https://doi.org/10.1520/GTJ20190137.
Machairas, N. P., and M. G. Iskander. 2018. “An investigation of pile design utilizing advanced data analytics.” In Proc., IFCEE 2018, 132–141. Reston, VA: ASCE.
Maitre, J., K. Bouchard, and L. P. Bédard. 2019. “Mineral grains recognition using computer vision and machine learning.” Comput. Geosci. 130 (Sep): 84–93. https://doi.org/10.1016/j.cageo.2019.05.009.
Maroof, M. A., A. Mahboubi, A. Noorzad, and Y. Safi. 2020. “A new approach to particle shape classification of granular materials.” Transp. Geotech. 22 (Mar): 100296. https://doi.org/10.1016/j.trgeo.2019.100296.
Mora, C. F., and A. K. H. Kwan. 2000. “Sphericity, shape factor, and convexity measurement of coarse aggregate for concrete using digital image processing.” Cem. Concr. Res. 30 (3): 351–358. https://doi.org/10.1016/S0008-8846(99)00259-8.
Nakata, Y., Y. Kato, M. Hyodo, A. F. Hyde, and H. Murata. 2001. “One-dimensional compression behaviour of uniformly graded sand related to single particle crushing strength.” Soils Found. 41 (2): 39–51. https://doi.org/10.3208/sandf.41.2_39.
Pedregosa, F., et al. 2011. “Scikit-learn: Machine learning in Python.” J. Mach. Learn. Res. 12: 2825–2830.
Powers, M. C. 1953. “A new roundness scale for sedimentary particles.” J. Sediment. Res. 23 (2): 117–119.
Riley, N. A. 1941. “Projection sphericity.” J. Sediment. Res. 11 (2): 94–95. https://doi.org/10.1306/D426910C-2B26-11D7-8648000102C1865D.
Rodriguez, J., T. Edeskär, and S. Knutsson. 2013. “Particle shape quantities and measurement techniques: A review.” Electron. J. Geotech. Eng. 18: 169–198.
Rorato, R., M. Arroyo, E. Andò, and A. Gens. 2019. “Sphericity measures of sand grains.” Eng. Geol. 254 (May): 43–53. https://doi.org/10.1016/j.enggeo.2019.04.006.
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.
Russell, R. D., and R. E. Taylor. 1937. “Roundness and shape of Mississippi River sands.” J. Geol. 45 (3): 225–267. https://doi.org/10.1086/624526.
Santamarina, J. C., and G. C. Cho. 2004. “Soil behaviour: The role of particle shape.” In Proc., Advances in Geotechnical Engineering: The Skempton Conf., 604–617. London: Thomas Telford.
Sherman, D. J., L. Davis, and S. L. Namikas. 2013. “Sediments and sediment transport.” In Vol. 1 of Treatise on geomorphology, edited by J. F. Shroder, 233–256. San Diego: Academic.
Soille, P. 2013. Morphological image analysis: Principles and applications. New York: Springer.
Suescun-Florez, E., M. Iskander, and S. Bless. 2020. “Evolution of particle damage of sand during axial compression via arrested tests.” Acta Geotech. 15 (1): 95–112. https://doi.org/10.1007/s11440-019-00892-w.
Swan, B. 1974. “Measures of particle roundness: A note.” J. Sediment. Res. 44 (2): 572–577.
Tang, J., S. Alelyani, and H. Liu. 2014. “Feature selection for classification: A review.” In Data classification: Algorithms and applications, 37. Boca Raton, FL: Chapman & Hall/CRC Press.
Wadell, H. 1932. “Volume, shape, and roundness of rock particles.” J. Geol. 40 (5): 443–451. https://doi.org/10.1086/623964.
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.
Walton, W. 1948. “Feret’s statistical diameter as a measure of particle size.” Nature 162 (4113): 329–330. https://doi.org/10.1038/162329b0.
Wang, X., Y. Weng, H. Wei, Q. Meng, and M. Hu. 2019. “Particle obstruction and crushing of dredged calcareous soil in the Nansha Islands, South China Sea.” Eng. Geol. 261 (Nov): 105274. https://doi.org/10.1016/j.enggeo.2019.105274.
Wei, H., T. Zhao, Q. Meng, X. Wang, and B. Zhang. 2020. “Quantifying the morphology of calcareous sands by dynamic image analysis.” Int. J. Geomech. 20 (4): 04020020. https://doi.org/10.1061/(ASCE)GM.1943-5622.0001640.
Wentworth, C. K. 1923. method of measuring and plotting the shapes of pebbles. Washington, DC: USGS.
Zheng, J., and R. D. Hryciw. 2015. “Traditional soil particle sphericity, roundness and surface roughness by computational geometry.” Géotechnique 65 (6): 494–506. https://doi.org/10.1680/geot.14.P.192.
Zheng, J., and R. D. Hryciw. 2016. “Index void ratios of sands from their intrinsic properties.” J. Geotech. Geoenviron. Eng. 142 (12): 06016019. https://doi.org/10.1061/(ASCE)GT.1943-5606.0001575.
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Journal of Geotechnical and Geoenvironmental Engineering
Volume 147 • Issue 9 • September 2021
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© 2021 American Society of Civil Engineers.
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Received: Sep 1, 2020
Accepted: Apr 5, 2021
Published online: Jun 16, 2021
Published in print: Sep 1, 2021
Discussion open until: Nov 16, 2021
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