Abstract
We hope that the geomathematical models introduced in this chapter and further detailed in the following chapters will serve as a foundation course in applied Mathematical Geology. While the models are presented in a sequence of increasing complexity for didactic purposes, we have tried as much as possible to respect the logics of the mineral exploration sequence which we wish to optimize.
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Bibliography for Chapter 1
Section 1 : Geo-model building; general topics
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Section 2; Construction of data base; general topics
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SCHAFFER, J.W., 1975, Bauxitic raw materials, pp.443–462, in industrial minerals and rocks, S.J. Lefont, edit.; A.I.M.E., New York.
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WOLFE, K.H., (Edit.), 1976, Handbook of stratabound and stratiform ores, Elsevier, Amsterdam, Holland.
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Section 3: Construction of data base: Asia
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SMIRNOV, V.I., 1971, Essays on metallogeny (translated by E.A. Alexandrov); Queens College Press, New York.
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Section 4: Construction of data base: Australasia
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BRAITHWAITE, R.L., 1974, The geology and origin of the Rosebery ore deposits, Tasmania; Econ. Geol. V.69, pp.1086–1101.
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HORT0N, D.J., 1978, Porphyry-type copper-molybdenum mineralization belts in Eastern Queensland; Econ. Geol., V.73, pp.904–921.
HUTCHINSON, R.W., 1975, Geological environments of massive sulphide deposits in Tasmania (abstr.); Can. Inst. M.&M. Bull., V.68, p.49.
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MacLEOD, W.N., De La HUNTY, L.E., JONES, W.R. and HALLIGAN, R., 1962, A preliminary report on the Hammersley Iron Province, Northwest Division; W.A. Geological Survey Ann. Report, Perth, Australia.
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ROSS, J.R.and TRAVIS, G.A., 1981, Nickel sulphide deposits of Western Australia in global perspective; Econ. Geol. V.76, pp.1291–1329.
SAEGART, W.E. and LEWIS, D.E., 1976, Characteristics of Philippine porphyry-copper deposits and summary of current production and reserves; Soc. Mining Engineers of A.I.M.E., A.I.M.E. General Meeting, Las Vegas, Preprint No. 76-1-79, pp.47.
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TAYLOR, G.A.M., (Edit.), 1974, Porphyry-copper deposits of the southwestern Pacific; Geol. Soc. Australia -CSIRO Spec. Publ., Sydney, Australia.
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WILLIAMS, D.A.C. and HALLBERG, J.A., 1972, Archean layered intrusions of the Eastern Goldfields region, W.A.; Contr. Min. Petrol.
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Section 5: Construction of data base: Europe
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Section 6: Construction of data base: North America
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BAYLEY, R.W. and JAMES, H.L., 1973, Precambrian iron-format ions of the United States; Econ. Geol., V.68, pp.934–959.
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CANADIAN MINES HANDBOOK, 1978–1979, The Northern Miner Press, Toronto, Canada.
CRANSTONE, D.A. and WHILLANS, R.T., 1979, Canadian reserves of copper, nickel, lead, zinc, molybdenum, silver and gold as of January 1, 1978; Mineral Bulletin MR 185, Department of Energy, Mines and Resources, Ottawa, Canada.
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FOWLER, G.M. and LYDEN, J.P., 1932, The ore deposits of the Tri-State district; Am Inst. Min. Met. Engr. Trans., V. 102, pp. 206–251.
GERDERMAN, P.E. and MYERS, H.E., 1973, Relationship of carbonate facies pattern to ore distribution and to ore genesis in the S. W. Missouri Lead District; Econ. Geol., V.67, pp. 429–438.
GILBERT, C. (Edit.), 1957, Structural geology of Canadian ore deposits (Congress volume), Montreal, Canadian Inst. Mining Metall.
HEYL, A.V. Jr. and AGNEW, A.F., 1959, The geology of the Upper Mississippi Valley Zinc-lead district; U.S.G.S. Prof. paper No. 309.
HEYL, A.V. Jr. and BOZION, C.N., 1971, Some little-known types of massive sulfide deposits in the Appalachian Region, U.S.A.; Soc. Mining Geol. Japan, Special Issue No. 3, pp. 42–59.
HOLLISTER, V.F., POTTER, R.R. and BARKER, A.L., 1974, Porphyry-type deposits of the Appalachian Orogen; Econ. Geol., V.69, pp. 618–630.
S.A. and FOLINSBEE, R.E., 1969, The Pine Point Lead-zinc deposits, N.W.T., Canada; Introduction and Paleoecology of the Presqu’ile Reef; Econ. Geol., V.64, pp.711–717.
MACKENZIE, B.W., 1968, Nickel-Canada and the World; Mineral Rept. No. 16, Mineral Resources Div., Dept. Energy, Mines and Resources, Ottawa, p. 176.
MCALLISTER, A.L., 1960, Massive Sulphide deposits in New Brunswick; Can. Min. &Met. Bull., February, pp. 88–98.
McKNIGHT, E.T. and FISHER, R.P., 1970, Geology and ore deposits of the Picher Field, Oklahoma and Kansas; U.S. Geol. Survey Prof. Paper no. 588, p. 165.
NALDRETT, A.J. and GASPARRINI, E.L., 1971, Archean nickel sulphide deposits in Canada: their classification, geological setting and genesis with some suggestions as to exploration; Geol. Soc. Aust., Spec. Pub. No.3, pp. 201–226.
RIDGE, J.D. (Edit.), 1968, Ore deposits of the United States, 1933–1967, Amer. Int. of Mining, Metallurg. and Pet. Eng., New York.
ROSS, F.G., 1935, Copper deposits of the Eastern United States: Copper resources of the World; 1 6th Int. Geol. Cong., V. 1, pp. 158.
SYNDER, F.G. and GERDEMANN, P.E., 1968, Geology of the Southeast Missouri Lead district, in “Ore deposits of the United States, 1933–1967”, V. 1, Am Inst. Mining, Metall. Petroleum Engineers, pp. 326–328, New York.
SUTHERLAND BROWN, A., CATHRO, R.J., PANTELEYEV, A. and NEY, C.S., 1971, Metallogeny of the Canadian Cordillera, Can. Int. M. &M. Bull., V.64, No. 709, pp. 37–61.
Section 7: Construction of data base: South America
CLARK, A.H. and ZENTILLI, M., 1972, The evolution of a metallogenic province at a consuming plate margin: The Andes between 26 deg. and 29 deg. South; Can. Min. Met. Bull., V.65, No. 37 (abstr.)
HOLLISTER, V.F., 1973, Characteristics of porphyry copper deposits of South America; Min. Eng., V.25, August, pp. 51–56.
LOWELL, J.D., 1974, Three new porphyry-copper mines for Chile; Min. Eng., V.26, November, pp.22–28.
PETERSEN, U., 1970, Metallogenic provinces in South America; Geol. Rundschau, V.59, No.3, pp. 834–879.
SILLITOE, R.HL, HALLS, C. and GRANT, J.N., 1975, porhyry-tin deposits in Bolivia; Econ. Geol., V.70, pp. 913–27.
SILLITOE, R.H., L976, A reconnaissance of the Mexican porphyry-copper Belt; Trans. Inst. Min. &Metall., V.85, pp.8170–8189.
ZANTOP, H., 198L, Argentina’s porphyry-copper potential; Min. Eng., V.33, February, pp. 137–142.
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Wignall, T.K., De Geoffroy, J. (1987). Application of Computerized Geomathematical Models to the Optimization of Exploration Programs. In: Statistical Models for Optimizing Mineral Exploration. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-1861-3_1
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