Computer Science – Numerical Analysis
Scientific paper
Dec 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983e%26psl..66..177a&link_type=abstract
Earth and Planetary Science Letters (ISSN 0012-821X), vol. 66, Dec. 1983, p. 177-213. Research supported by the Centre National
Computer Science
Numerical Analysis
44
Chemical Evolution, Earth Crust, Earth Mantle, Geochemistry, Geodynamics, Radioactive Age Determination, Graph Theory, Mathematical Models, Neodymium Isotopes, Numerical Analysis, Strontium Isotopes
Scientific paper
In the first part of the present study, the Rb/Sr and Sm/Nd isotopic systematics of several three-box models are investigated, using mass balance equations and the definition of the mean age of the reservoirs. The geochemical uniqueness of the models, which have been chosen from a large family of posible ones, is evaluated on the basis of elementary graph theory. These models are then solved by means of a total inversion approach. The second part applies this inversion technique to models in which the depleted midocean ridge basalt (MORB) mantle is created by the extraction of continental crust results in a stable and self-consistent set of model data, including uncertainty estimates for all parameters. The fraction of the total mantle which has been depleted depends on whether the lower mantle is virgin, whether the depleted reservoir is presented in Sm/Nd and Rb/Sr systematics by average or extreme MORB values, and whether the bulk earth Nd content is presumed to be similar to E or H chondrites, or is higher than all known meteoric classes.
Allègre Claude J.
Hart Stan R.
Minster Jean-François
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