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On the performance of truncated distributions to describe rock fragmentation
Research Areas
  • Engineering
Weibull (Rosin-Rammler), Grady, lognormal, log-logistic and Gilvarry distributions are compared with their variants truncated at a maximum size. The Swebrec distribution (a truncated one) is included in the comparison. The comparison is made on a benchmark of 448 sets of screened fragment size data from blasted and crushed rock of different origins. The truncated distributions reduce the unexplained variance by a factor of more than five when compared with the infinite variable ones, except the Gilvarry. The higher determination coefficients are obtained by the truncated Weibull and the Swebrec, with median values 0.9975 and 0.9974 respectively. The errors in predicting sizes have been determined for each of the distribution functions across the different passing ranges. Relative errors in size determination are 6 to 7 % in the coarse zone (> 80 % passing) for all truncated functions except Gilvarry; similar values are obtained in the central range (20 to 80 % passing) for the truncated Weibull, Swebrec and Grady. These three are also the best ones in the fine (2 to 20 % passing) though relative errors are here 25 to 30 %. Errors in the very fine range (< 2 %) are generally wild, with the best median value of 180 %, for the truncated Weibull. When analyzed for the different materials, truncated Weibull and Swebrec are consistently the distributions obtaining lower size estimation errors in the various zones, with a noticeable generally good behavior of the truncated log-logistic in the coarse range, and to a lesser extent also in this range the truncated lognormal and Grady.
10th International Symposium on Rock Fragmentation by Blasting, Workshop Measurement and Analysis of Blast Fragmentation.
Nueva Delhi, India
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Measurement and Analysis of Blast Fragmentation
  • Autor: Jose Angel Sanchidrian Blanco (UPM)
  • Autor: Pablo Segarra Catasus (UPM)
  • Autor: Lina Maria Lopez Sanchez (UPM)
Research Group, Departaments and Institutes related
  • Creador: Grupo de Investigación: Ingeniería de Georrecursos y Modelización
  • Departamento: Ingeniería Química y Combustibles
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