Traditional soil particle sphericity, roundness and surface roughness by computational geometry

Geotechnique - Tập 65 Số 6 - Trang 494-506 - 2015
J Zheng1, Roman D. Hryciw1
1Department of Civil and Environmental Engineering, University of Michigan, Ann Arbor, MI USA

Tóm tắt

Definitions of soil particle sphericity, roundness and roughness have existed since at least the 1930s. In the 1950s, charts of typical sphericity and roundness values were developed to alleviate tedious manual determination. They allowed users to classify particles by visual comparison to typical particles possessing ranges of sphericity and roundness. The original definitions and somewhat subjective chart methods are still widely used today. This paper describes robust numerical methods based on computational geometry to determine precisely the traditional values from two-dimensional images of particles. Statistical methods including locally weighted regression and K-fold cross-validation were used to discretise a mean particle surface and thereby quantify and remove roughness. The paper details the algorithms for identifying particle corners and fitting circles to them for computation of roundness. Conclusions are also drawn regarding the most appropriate definition for particle sphericity from among five that are commonly cited. Finally, recommendations are made for the minimum image resolutions and particle perimeter discretisation necessary to obtain accurate results.

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Tài liệu tham khảo

10.1061/(ASCE)GT.1943-5606.0000855

10.1007/s12205-011-1310-x

ASTM, 2009, ASTM D 2488-09a: Standard practice for description and identification of soils (visual-manual procedure)

ASTM, 2010, ASTM D 4791-10: Standard test method for flat particles, elongated particles, or flat and elongated particles in coarse aggregate

10.1061/(ASCE)1090-0241(2008)134:10(1476)

10.1111/j.1365-3091.1980.tb01179.x

10.1680/geot.2001.51.6.545

10.1016/j.enggeo.2013.01.011

10.1016/j.enggeo.2012.04.015

10.1061/(ASCE)1090-0241(2006)132:5(591)

10.1080/01621459.1988.10478639

Cox E. A., 1927, J. Paleontol, 1, 179

Edil T. B., 1975, Proceedings of the Istanbul conference on soil mechanics and foundation engineering, 46

10.1007/978-1-4899-4541-9

10.1016/0077-7579(65)90002-5

10.1680/geot.9.T.015

10.1680/geot.1979.29.3.341

10.1103/PhysRevE.81.061303

10.1103/PhysRevE.82.056713

10.1007/BF01934268

ISO, 2008, ISO 9276-6:2008: Representation of results of particle size analysis – Part 6: Descriptive and quantitative representation of particle shape and morphology

10.1201/b17395-196

10.1007/s10035-010-0207-6

Krumbein W. C., 1941, J. Sedimentary Petrol., 11, 64

Krumbein W. C., 1951, Stratigraphy and sedimentation, 10.1097/00010694-195105000-00019

10.3141/1721-07

10.1115/1.2920243

Masad E., 2007, Test methods for characterizing aggregate shape texture, and angularity

MathWorks, 2014, MATLAB image processing toolbox

10.1016/j.sedgeo.2007.07.010

Mitchell J. K., 2005, Fundamentals of soil behavior, 3

10.1007/s10035-012-0356-x

10.1007/s10035-012-0380-x

10.1016/j.cma.2014.06.022

10.3208/sandf1972.30.2_23

10.1201/b17395-287

Powers M. C., 1953, J. Sedimentary Petrol., 23, 117

Riley N. A., 1941, J. Sedimentary Petrol., 11, 94

Rodriguez J. M., 2012, Proceedings of Nordic conference on soil mechanics and geotechnics, 207

10.1680/geot.2008.58.3.227

10.1016/0037-0738(93)90036-5

Santamarina J. C., 2004, Advances in geotechnical engineering: The Skempton conference, 604

10.1061/(ASCE)GT.1943-5606.0000768

10.1139/t85-076

10.1680/geot.2001.51.7.619

Tickell F. G., 1931, The examination of fragmental rocks

10.1061/(ASCE)0899-1561(2008)20:9(617)

10.2136/sssaj1987.03615995005100050003x

10.1086/623964

10.1086/624040

10.1086/624298

10.1061/(ASCE)0899-1561(2005)17:5(498)

10.1061/(ASCE)0887-3801(2004)18:1(2)

10.1520/STP37866S

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Geotechnique

Tập 65 Số 6

494-506

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