Using two dimensional sectional distributions to infer three dimensional volumetric distributions - Validation using tomography

Gay, S. L. and Morrison, R. D. (2006) Using two dimensional sectional distributions to infer three dimensional volumetric distributions - Validation using tomography. Particle & Particle Systems Characterization, 23 3-4: 246-253. doi:10.1002/ppsc.200601056


Author Gay, S. L.
Morrison, R. D.
Title Using two dimensional sectional distributions to infer three dimensional volumetric distributions - Validation using tomography
Journal name Particle & Particle Systems Characterization   Check publisher's open access policy
ISSN 0934-0866
Publication date 2006
Sub-type Article (original research)
DOI 10.1002/ppsc.200601056
Volume 23
Issue 3-4
Start page 246
End page 253
Total pages 8
Editor Wolfgang Peukert
Place of publication Weinheim, Germany
Publisher Wiley-VCH Verlag GMBH
Collection year 2006
Language eng
Subject C1
230199 Mathematics not elsewhere classified
640300 First Stage Treatment of Ores and Minerals
Abstract The critical process parameter for mineral separation is the degree of mineral liberation achieved by comminution. The degree of liberation provides an upper limit of efficiency for any physical separation process. The standard approach to measuring mineral liberation uses mineralogical analysis based two-dimensional sections of particles which may be acquired using a scanning electron microscope and back-scatter electron analysis or from an analysis of an image acquired using an optical microscope. Over the last 100 years, mathematical techniques have been developed to use this two dimensional information to infer three-dimensional information about the particles. For mineral processing, a particle that contains more than one mineral (a composite particle) may appear to be liberated (contain only one mineral) when analysed using only its revealed particle section. The mathematical techniques used to interpret three-dimensional information belong, to a branch of mathematics called stereology. However methods to obtain the full mineral liberation distribution of particles from particle sections are relatively new. To verify these adjustment methods, we require an experimental method which can accurately measure both sectional and three dimensional properties. Micro Cone Beam Tomography provides such a method for suitable particles and hence, provides a way to validate methods used to convert two-dimensional measurements to three dimensional estimates. For this study ore particles from a well-characterised sample were subjected to conventional mineralogical analysis (using particle sections) to estimate three-dimensional properties of the particles. A subset of these particles was analysed using a micro-cone beam tomograph. This paper presents a comparison of the three-dimensional properties predicted from measured two-dimensional sections with the measured three-dimensional properties.
Keyword Engineering, Chemical
Materials Science, Characterization & Testing
Geometric Probability
Micro Tomography
Mineral Liberation
Stereology
Mathematical-theory
Communication
Q-Index Code C1

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2007 Higher Education Research Data Collection
Sustainable Minerals Institute Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 6 times in Thomson Reuters Web of Science Article | Citations
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Created: Wed, 15 Aug 2007, 08:06:04 EST