Skip to main content
Log in

The lognormal approach to predicting local distributions of selective mining unit grades

  • Published:
Journal of the International Association for Mathematical Geology Aims and scope Submit manuscript

Abstract

When planning highly selective mining operations, the challenge is to estimate mineable ore reserves that will be selected at the mining stage. From exploration data it is not possible to estimate accurately the grade (or thickness) of each future selective mining unit; however, it is possible to estimate the local distributions of these mining unit grades within large panels suitable for long-range mine planning. Application of a cut-off then allows estimation of the recovered ore tonnage and grade within each such panel. Derivation of local conditional distributions is rather simple when the grade is either normally or lognormally distributed. The geologically important lognormal case is fully described both in the stationary and the nonstationary case. Cross validations of these techniques using the exploration data of the Imouraren uranium deposit are presented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  • Aitchison, J. and Brown, J., 1957, The lognormal distribution: Cambridge University Press, London.

    Google Scholar 

  • Delfiner, P., 1975, Linear estimation of non-stationary spatial phenomenain Proceedings of the “Geostat '75” NATO ASI Congress (Reidel Publ. Corp., ed.): Dordrecht, The Netherlands, p. 49–68.

  • Jackson, M. and Marechal, A., 1979, Recoverable reserves estimated by disjunctive kriging: A case-studyin Proceedings of the 16th APCOM Symposium: Tuscon, Arizona, October 1979.

  • Journel, A. G., 1977, Kriging in terms of projections: Math. Geol., v. 69, no. 6, p. 563–586.

    Google Scholar 

  • Journel, A. G. and Huijbregts, C., 1978, Mining geostatistics: Academic Press, London, 600 p.

    Google Scholar 

  • Marechal, A., 1974, Krigeage normal et lognormal: Centre de Morphologie Mathematique, Fontainebleau, France (Unpublished note N-376).

    Google Scholar 

  • Matheron, G., 1974, Les fonctions de transfert des petits panneaux: Centre de Morphologie Mathematique, Fontainebleau, France (Unpublished note N-395).

    Google Scholar 

  • Matheron, G., 1975a, A simple substitute for conditional expectation: Disjunctive krigingin Proceedings of the “Geostat '75” NATO ASI Congress (Reidel Publ. Corp., ed.): Dordrecht, The Netherlands, p. 221–236.

  • Matheron, G., 1975b, Forecasting block grade distributions: The transfer functions,in Proceedings of the “Geostat '75” NATO ASI Congress (Reidel Publ. Corp. ed.): Dordrecht, The Netherlands, p. 237–251.

  • Parker, H. M., Journel, A. G., and Dixon, W. C., 1979, The use of conditional lognormal probability distribution for the estimation of open-pit ore reserves in stratabound uranium deposits: A case-studyin Proceedings of the 16th APCOM Symposium: Tucson, Arizona.

  • Parker, H. M. and Switzer, P., 1975, Use of conditional probability distributions in ore reserve estimation: A case-studyin Proceedings of the 13th APCOM Symposium: Clausthal, West Germany, p. M II, 1–16.

    Google Scholar 

  • Rendu, J. M., 1979, Normal and lognormal estimation, Jour. IAMG, v. 11. no. 4, p. 407–422.

    Google Scholar 

  • Wilks, S. S., 1962, Mathematical statistics: Wiley, New York.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Journel, A.G. The lognormal approach to predicting local distributions of selective mining unit grades. Mathematical Geology 12, 285–303 (1980). https://doi.org/10.1007/BF01029417

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01029417

Key words

Navigation