Abstract
Estimating the undiscovered mineral resources of a terrane is a challenging, yet essential, task in mineral exploration. We apply Zipf’s law rank statistical analysis to estimate the undiscovered nickel sulphide resources in the Norseman-Wiluna Greenstone Belt, Western Australia. The analysis suggests that about 3.0 to 10.0 Mt of nickel sulphide resources are yet to be discovered in this belt, compared to the currently known total nickel sulphide endowment of 10.8 Mt. This undiscovered nickel sulphide endowment is likely to be hosted by incompletely delineated deposits and undiscovered deposits in less explored komatiites in the belt. Using the more detailed data subset of the Kambalda domain, this study manipulates Zipf’s law to estimate the sizes of undiscovered deposits, in addition to the domain’s total nickel sulphide endowment estimate. Importantly, regression analysis shows that the gradient of the line of best fit through the logarithmic rank-size plot for the detailed Kambalda data subset is −1. This gradient, which is the key Zipf’s law constant k, has the value of −0.92 for the Norseman-Wiluna Greenstone Belt which is collectively less mature than the Kambalda domain. This result corroborates the use of k = −1 in Zipf’s law predictive analyses of mineral resources for deposit populations for which the value of k = −1 has not yet been attained due to exploration immaturity.
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References
Barnes SJ (2006a) Komatiite-hosted nickel sulphide deposits: geology, geochemistry, and genesis. In: Barnes SJ (ed) Nickel deposits of the Yilgarn craton: geology, geochemistry and geophysics applied to exploration. Soc Econ Geol Spec Publ 13:51–97
Barnes SJ (2006b) Komatiites: petrology, volcanology, metamorphism, and Geochemistry. In: Barnes SJ (ed) Nickel deposits of the Yilgarn craton: geology, geochemistry and geophysics applied to exploration. Soc Econ Geol Spec Publ 13:13–49
Beresford S, During P, Florentine M, Rosengren N, Bleaker W, Barley M, CAS R, Tait M, Wallace H (2004) The structural and stratigraphic architecture of the Agnew/Wiluna Belt, WA, project P710 project final report. AMIRA International limited (unpublished report), p 511
Blenkinsop TG (1995) Fractal measures for the size and spatial distributions of goldmines: economic applications. In: Blenkinsop TG, Tromp PL (eds) Sub-Saharan Economic Geology. Geol Soc Zimbabwe, Spec Publ 3: 177–186. Balkema, Rotterdam
Cassidy KF, Champion DC, Krapez B, Barley ME, Brown SJA, Blewett RS, Groenewald PB, Tyler IM (2006) A revised tectonic framework for the Yilgarn craton, Western Australia. Geological Survey of Western Australia, Record 206/8
Cowden AC, Roberts DE (1990) Komatiite-hosted nickel sulphide deposits, Kambalda. In: Hughes FE (ed) Geology of the mineral deposits of Australia and Papua New Guinea. The Australasian Institute of Mining and Metallurgy Monograph 14, Melbourne, pp 567–581
Crow EL, Shimizu K (1988) Log-normal distributions: theory and application. Dekker, New York
Donaldson MJ, Lesher CM, Groves DI, Gresham JJ (1986) Comparison of Archaean dunites and komatiites associated with nickel mineralisation in Western Australia: implications for dunite genesis. Miner. Depos. 21:296–305
Fagan RK (2006) Modelling how much gold is left to be found in the Eastern Goldfields of W.A.—AIG Kalgoorlie 2006 Conference
Folinsbee RE (1977) World’s view—from Alph to Zipf. Geol Soc Am Bull 88(7):897–907
GSWA (Geological Survey of Western Australia) (2008) 1:500 000 Interpreted bedrock geology of Western Australia. http://mapserver.doir.wa.gov.au/datacentre/. Accessed 24 April 2009
Gresham JJ, Loftus-Hills GD (1981) The geology of the Kambalda nickel field, Western Australia. Econ. Geol. 76:1373–1416
Guj P, McCuaig TC, Garzon R (2007) Can the petroleum industry’s probabilistic approach to targeting and resources definition be applied in predicting mineral discoveries? Conference proceedings, Mineral exploration and research: digging deeper. 9th Biennial SGA Meeting
Guj P, Fallon M, McCuaig TC, Fagan R (2011) A time-series audit of the Zipf’s law as a measure of terrane endowment and maturity in mineral exploration. Econ Geol 106(2) (in press)
Hill RET, Gole MJ (1990) Nickel sulphide deposits of the Yilgarn Block. In: Hughes FE (ed) Geology of the mineral deposits of Australia and Papua New Guinea. Australian Institute of Mining and Metallurgy, Melbourne, pp 557–559
Hill RET, Barnes SJ, Gole MJ, Dowling SE (1995) The volcanology of komatiites as deduced from field relationships in the Norseman-Wiluna greenstone belt, Western Australia. Lithos 34:159–188
Hoatson DM, Subhash J, Jaques AL (2006) Nickel sulphide deposits in Australia: characteristics, resources and potential. Ore Geol Rev 29:177–241
Hronsky JMA, Schodde RC (2006) Nickel exploration of the Yilgarn Craton: from the nickel boom to today. Soc Econ Geol Spec Publ 13:1–11
Hronsky JMA, Groves DI (2008) Science of targeting: definitions, strategies, targeting and performance measurement. Aust J Earth Sci 55:3–12
Hronsky JMA (2009) The exploration search space concept: key to a successful exploration strategy. CET Quarterly Newsletter n.8, June 2009
Koch AL (1966) The logarithm in biology. I. Mechanisms generating the log-normal distribution exactly. J Theor Biol 23:276–290
Krige DG (1966) A study of gold and uranium distribution patterns in the Klerksdorp Gold Field. Geoexploration 4:43–53
Limpert E, Wener AS, Markus A (2001) Log-normal distributions across the sciences. Bioscience 51:341–352
Mamuse A (2010) Spatial statistical estimation of mundiscovered mineral endowment: case for komatiite-associated nickel sulphide resources, Kalgoorlie Terrane, Western Australia. PhD thesis, Curtin University, Perth, Australia. http://espace.library.curtin.edu.au:80/R?func=dbin-jump-full&local_base=gen01-era02&object_id=147762. Accessed 11 November 2010
Mamuse A, Beresford S, Porwal A, Kreuzer OP (2010) Assessment of undiscovered nickel sulphide resources, Kalgoorlie Terrane, Western Australia. Part 1. Deposit and endowment density models. Ore Geol Rev 37:141–157
Marston RJ (1984) Nickel mineralization in Western Australia. Geological Survey of Western Australia. Min Res Bull 14:271
Marston RJ, Groves DI, Hudson DR, Ross JR (1981) Nickel sulphide mineralisation of Western Australia: a review. Econ Geol 76:1330–1363
Merriam DF, Drew LJ, Schuenemeyer JH (2004) Zipf's Law: a viable geological paradigm? Nat. Resour. Res. 13:265–271
McCuaig TC, Guj P (2006) Balancing risk and reward in the face of increasing global exploration maturity. Proceedings of the “Outcrop to orebody” AIG-AMEC-Kal 2006 Conference, Kalgoorlie, May 2006
MINEDEX database. Western Australia Department of Mines and Petroleum http://mapserver.doir.wa.gov.au/meta/arcMetaPage.asp?Id=532. Accessed 14 January 2009
MINMET database, Intierra Pty Ltd. http://www.intierra.com/. Accessed 14 January 2009
Myers JS, Hickman AH (1990) Pilbara and Yilgarn cratons-regional geology and Mineralization. In: Hughes FE (ed) Geology of the mineral deposits of Australia and Papua New Guinea. Aust Inst Min Met, pp 129–133
Nelson DR (1998) Granite-greenstone crust formation on the Archaean earth-a consequence of two superimposed processes. Earth Planet Sci Lett 158:109–119
Nitsche V (2005) Zipf zipped. J Urban Econ 57:86–100
Nota F, Song S (2008) Further analysis of the Zipf Law: does the rank-size rule really exist? Working paper 08–005, University of Nevada, Reno, Departments of Economics and Resources Economics
Ott WR (1978) Environmental Indices. Ann Arbor (MI) Ann Arbor Science
Paliwal HV, Bhatnagar SN, Haldar SK (1986) Lead–zinc resource prediction in India: an application of Zipf’s law. Math Geol 18(6):539–549
Quirk DG, Ruthrauff R (2006) Analysis of reserves discovered in petroleum exploration. J Pet Geol 29:125–146
Reliance Mining Limited (2004) Quarterly report for the period ended 31 March 2004. Reliance Mining Limited, Perth, 11 pp
Reliance Mining Limited (2005) Beta Hunt Project Update. Company Announcements, 12 January 2005. Australian Stock Exchange, Sydney, p 3
Rosengren NM, Beresford SW, Grguric BA, Cas RAF (2005) An intrusive origin for the komatiitic dunite-hosted Mount Keith nickel sulphide deposit, Western Australia. Econ Geol 100:149–156
Rowlands NJ, Sampey D (1977) Zipf’s law—an aid to resource inventory prediction in partially explored areas. Math Geol 9:383–391
Schuenemeyer JH, Drew LJ (1983) A procedure to estimate the parent population of the size of oil and gas fields as revealed by a study of economic truncation. Math Geol 15:145–161
Stone WE, Rutter JB, Stone MS Archibald NJ, Ketelaar PB (1998) Three-dimensional GIS and nickel exploration at Kambalda. Annual conference of the Australian academy of technological sciences. Proceedings of the 1998 symposium, Fremantle, pp. 97–111
Swager CP (1997) Tectono-stratigraphy of late Archaean greenstone terranes in the southern Eastern Goldfields, Western Australia. Precambrian Res 83:11–42
Swager CP, Griffin TJ, Witt wk, Wyche S, Ahmat AL, Hunter WM, McGoldrick PJ (1995) Report 48 (reprint of Record 1990/12). Geological Survey of Western Australia
Acknowledgements
This paper draws from Antony Mamuse’s Ph.D. research which was funded through a Curtin University Ph.D. scholarship, supported by Intierra Resources Pty Ltd. and the Centre for Exploration Targeting (a joint venture between Curtin University of Technology and The University of Western Australia). The manuscript benefited from constructive comments from Dr. Alok Porwal, two anonymous Mineralium Deposita reviewers, and Pat William’s editorial handling.
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Mamuse, A., Guj, P. Rank statistical analysis of nickel sulphide resources of the Norseman-Wiluna Greenstone Belt, Western Australia. Miner Deposita 46, 305–318 (2011). https://doi.org/10.1007/s00126-011-0333-z
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DOI: https://doi.org/10.1007/s00126-011-0333-z