Scaling laws and geochemical distributions

Earth and Planetary Science Letters - Tập 132 - Trang 1-13 - 1995
Claude J. Alle`gre1,2, Eric Lewin1,2
1Laboratoire de Ge´ochimie et Cosmochimie, Institut de Physique du Globe de Paris, URA CNRS 1758, Paris, France
2UFR des Sciencesde la Terre, Universite´Paris 7, B.89, 4 place Jussieu, 75252 Paris Cedex 05, France

Tài liệu tham khảo

de Wijs, 1951, Statistics of ore distribution: (1) frequency distribution of assay values, Geol. Mijnbouw, 13, 365 de Wijs, 1953, Statistics of ore distribution: (2) theory of binomial distribution applied to sampling and engineering problems, Geol. Mijnbouw, 15, 12 Lasky, 1950, How tonnage and grade relations help predict ore reserves, Eng. Min. J., 151, 81 De Young, 1981, The Lasky cumulative tonnage-grade relationship—a reexamination, Econ. Geol., 76, 1067, 10.2113/gsecongeo.76.5.1067 Cargill, 1980, Resource estimation from historical data: Mercury, a test case, Math. Geol., 12, 489, 10.1007/BF01028882 Cargill, 1981, Estimating usable resources from historical industry data, Econ. Geol., 76, 1081, 10.2113/gsecongeo.76.5.1081 Turcotte, 1986, A fractal approach to the relationship between ore grade and tonnage, Econ. Geol., 81, 1528, 10.2113/gsecongeo.81.6.1528 Ahrens, 1954, The lognormal distribution of the elements (a fundamental law of geochemistry and its subsidiary), Geochim. Cosmochim. Acta, 5, 49, 10.1016/0016-7037(54)90040-X Ahrens, 1954, The lognormal distribution of the elements—II, Geochim. Cosmochim. Acta, 6, 121, 10.1016/0016-7037(54)90021-6 Ahrens, 1957, Lognormal-type distributions—III, Geochim. Cosmochim. Acta, 11, 205, 10.1016/0016-7037(57)90094-7 Ahrens, 1963, Lognormal-type distributions in igneous rocks—IV, Geochim. Cosmochim. Acta, 27, 333, 10.1016/0016-7037(63)90075-9 Ahrens, 1963, Lognormal-type distribution in igneous rocks—V, Geochim. Cosmochim. Acta, 27, 877, 10.1016/0016-7037(63)90111-X Vistelius, 1960, The skew frequency distributions and the fundamental law of the geochemical processes, J. Geol., 68, 1, 10.1086/626634 DeGennes, 1979 Mandelbrot, 1977 Moon, 1992 Korvin, 1992 Neuman, 1954, Trace element variations during fractional crystallization as calculated from distillation law, Geochim. Cosmochim. Acta, 16, 96 Alle`gre, 1977, Systematic use of trace elements in igneous process. Part I: fractional crystallization processes in volcanic suites, Contrib. Mineral. Petrol., 60, 57, 10.1007/BF00372851 Alle`gre, 1978, Quantitative models of trace element behavior in magmatic processes, Earth Planet. Sci. Lett., 38, 1, 10.1016/0012-821X(78)90123-1 Korjinsky, 1970 Barnes, 1979, Hydrothermal solutions Hofmann, 1972, Chromatographic theory of infiltration, metasomatism and its application to feldspars, Am. J. Sci., 272, 69, 10.2475/ajs.272.1.69 Frisch, 1985, On the singularity structure of fully developed turbulence, 84 Helgeson, 1971, Mass transfer among minerals and hydrothermal solutions Deloule, 1985, Lead and sulfur isotopic microstratigraphy in galena crystals from Mississipi Valley type deposits, Econ. Geol., 81, 1307, 10.2113/gsecongeo.81.6.1307 Hart, 1981, Lead isotopes zoning in galena: an ion microprobe study of a galena crystal from the Bruick Mine, Econ. Geol., 76, 1873, 10.2113/gsecongeo.76.7.1873 Titterington, 1985, Statistical analysis of finite mixture distributions Ahrens, 1963, Element distributions in igneous rocks—VI: Negative skewness of SiO2 and K, Geochim. Cosmochim. Acta, 27, 929, 10.1016/0016-7037(63)90102-9 Ahrens, 1964, Element distributions in igneous rocks—VII: A reconnaissance survey of the distribution of SiO2 in granitic and basaltic rocks, Geochim. Cosmochim. Acta, 28, 271, 10.1016/0016-7037(64)90107-3 Ahrens, 1966, Element distributions in specific igneous rocks—VIII, Geochim. Cosmochim. Acta, 30, 109, 10.1016/0016-7037(66)90092-5 Treuil, 1976, Etude ge´ochimique dese´le´ments en traces dans le magmatisme de l'Afar. Implications pe´troge´ne´tiques et comparaison avec le magmatisme de l'Islande et de la dorsale Me´dio-Atlantique, 26 Carlson, 1991, Spatial distribution of ore deposits, Geology, 19, 111, 10.1130/0091-7613(1991)019<0111:SDOOD>2.3.CO;2 Lancelot, 1984, Syste´matique U-Pb ete´volution du gisement de Lode`ve, Miner. Acta, 19, 44 Richardson, 1923, The frequency distribution of igneous rocks. Part II: the laws of distribution in relation to petrogenetic theories, Mineral. Mag., 20, 1 Schilling, 1985, Hotspot-migrating ridge interaction in the South Atlantic, Nature, 313, 187, 10.1038/313187a0 Dia, 1988, Se´diments ete´volution ge´ochimique (e´volution de la crouˆte continentale ete´tude de la limite Cre´tace´-Tertiaire): contraintes apporte´es par l'analyse isotopique (Ne´odyme et Plomb) et les teneurs ene´le´ments traces Dia, 1990, The development of continental crust through geological time: the South African case, Earth Planet. Sci. Lett., 98, 74, 10.1016/0012-821X(90)90089-G Dia, 1990, Sm-Nd and trace-element characterization of shales from the Abitibi Belt, Labrador Trough, and Appalachian Belt: consequences for crustal evolution through time, Can. J. Earth Sci., 27, 758, 10.1139/e90-077