Abstract
In the earth sciences in general, and, in particular, in the mineral deposits, the spatial continuity of the geological features, which can be grade of the valuable metals, concentration of the deleterious components or geotechnical characteristics of the rocks, represents natural phenomenon. Accurate estimation of these features in the unsampled location is important for evaluation the mining projects and their cost effectively exploitation.
Geostatistics is a specialised scientific discipline which offers the methodology for modelling the spatial continuity of the regionalised variables. In this chapter, the basic theoretical foundations of geostatistics are introduced to the readers and explained using examples.
References
Abzalov MZ (2006) Localised Uniform Conditioning (LUC): a new approach for direct modelling of small blocks. Math Geol 38(4):393–411
Abzalov MZ (2014) Localised Uniform Conditioning: method and application case studies. J South Afr Inst Min Metall 114(1):1–6
Abzalov MZ, Pickers N (2005) Integrating different generations of assays using multivariate geostatistics: a case study. Trans Inst Min Metall 114:B23–B32
Armstrong M (1998) Basic linear geostatistics. Springer, Berlin, p 153
Armstrong M, Galli A, Beucher H, Le Loc’h G, Renard D, Doligez B, Eschard R, Geffroy F (2011) Plurigaussian simulation in geosciences, 2nd edn. Springer, Berlin, p 149
Bleines C, Bourges M, Deraisme J, Geffroy F, Jeanne N, Lemarchand O, Perseval S, Poisson J, Rambert F, Renard D, Touffait Y, Wagner L (2013) ISATIS software. Geovariances, Ecole des Mines de Paris, Paris
Chiles J-P, Delfiner P (1999) Geostatistics: modelling spatial uncertainty. Wiley, New York, p 695
David M (1977) Geostatistical ore reserve estimation. Elsevier, Amsterdam, p364
David M (1988) Handbook of applied advanced geostatistical ore reserve estimation. Elsevier, Amsterdam, p364
Davis JC (2002) Statistics and data analysis in geology, 3rd edn. Wiley, New York, p 638
Deutsch CV, Journel AG (1998) GSLIB: geostatistical software library and user’s guide. Oxford University Press, New York, p 340
Goovaerts P (1997) Geostatistics for natural resources evaluation. Oxford University Press, New York, p 483
Isaaks EH, Srivastava RM (1989) An introduction to applied geostatistics. Oxford University Press, NewYork, p 561
Journel AG, Huijbregts CJ (1978) Mining geostatistics. Academic, New York, p 600
Krige D (1951) A statistical approach to some basic mine valuation problems on the Witwatersrand. J Chem Metall Min Soc S Afr 52:119–139
Lantuejoul C (1988) On the importance of choosing a change of support model for global reserves estimation. Math Geol 20(8):1001–1019
Lantuejoul C (2002) Geostatistical simulation: models and algorithms. Springer, Berlin, p 250
Matheron G (1963) Principles of geostatistics. Econ Geol 58(8):1246–1266
Matheron G (1968) Osnovy prikladnoi geostatistiki (Basics of applied geostatistics). Mir, Moscow, p 408 (in Russian)
Rivoirard J (1994) Introduction to disjunctive kriging and non-linear geostatistics. Oxford Press, Claredon, p 181
Rivoirard J (2001) Which models for collocated cokriging? Math Geol 33:117–131
Rivoirard J (2002) On the structural link between variables in kriging with external drift. Math Geol 34:797–808
Rossi ME, Deutsch CV (2014) Mineral resource estimation. Springer, Berlin, p 332
Srivastava RM (2005) Probabilistic modelling of ore lens geometry: an alternative to deterministic wireframes. Math Geol 37(5):513–544
Strebelle S (2002) Conditional simulation of complex geological structures using multiple-point statistics. Math Geol 34(1):1–22
Wackernagel H (2003) Multivariate geostatistics: an introduction with applications, 3rd edn. Springer, Berlin, p388
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Abzalov, M. (2016). Introduction to Geostatistics. In: Applied Mining Geology. Modern Approaches in Solid Earth Sciences, vol 12. Springer, Cham. https://doi.org/10.1007/978-3-319-39264-6_17
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