Evaluation of some distribution functions for describing rock fragmentation data
2009 (English)In: Rock Fragmentation by Blasting: Proceedings of the 9th Int. Symp. on Rock Fragmentation by Blasting - Fragblast 9, Sept. 2009, Granada Spain / [ed] José A. Sanchidrián Blanco, Boca Raton, Fla.: CRC Press, 2009, 239-248 p.Conference paper (Refereed)
Eight distributions, Weibull, Swebrec, Grady and Gilvarry, and their bi-component varieties, are fitted to 28 sets of screened fragment data from both blasted and crushed rock; such data cover at least three orders of magnitude in size and in some cases more than five. Several fitting criteria (OLS and percentage passing, p-weighted sum of squares) are used for the non-linear fitting. The merit of each distribution and fitting criterion is discussed in terms of the logarithmic errors in the prediction of sizes. Root mean squared log errors are obtained for different size ranges, arbitrarily defined as coarse, central, fine and very fine, and the behavior of the distribution functions and weighting factors is assessed. Log errors can be less than log 1.25 with most functions in the central range (passing 20-80%), while only the bi-components keep the error at that level in the fine range (passing <20%). Errors in the coarse range (passing >80%) are higher than in the central; bi-components keep the log error around log 1.25, except in the 1/p 2-weighted fits, and for the single components it is between log 1.25 and log 1.50, increasing from the OLS to the 1/p 2 fits. The very fine range (passing <2%) is very difficult to match; only the minimum relative error criterion (1/p 2 weights) does acceptably well, though this criterion gives in turn the worst results in the coarse range.
Place, publisher, year, edition, pages
Boca Raton, Fla.: CRC Press, 2009. 239-248 p.
Civil engineering and architecture - Geoengineering and mining engineering
Samhällsbyggnadsteknik och arkitektur - Geoteknik och gruvteknik
Research subject Mining and Rock Engineering
IdentifiersURN: urn:nbn:se:ltu:diva-38341Local ID: cb373d30-ab72-11de-8293-000ea68e967bISBN: 978-0-415-48296-7 (print)OAI: oai:DiVA.org:ltu-38341DiVA: diva2:1011841
International Symposium on Rock Fragmentation by Blasting : 13/09/2009 - 17/09/2009
Godkänd; 2009; 20090927 (finn)2016-10-032016-10-03Bibliographically approved