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Published November 1980 | Published
Journal Article Open

A two-reservoir recycling model for mantle-crust evolution

Abstract

The exact solutions for the isotopic compositions and the concentrations of the two-reservoir model for mantle-crust evolution are given for arbitrary rates of crustal growth and of back flow to the mantle. The critical parameters are the chemical fractionation factors for crustal growth and refluxing and the integrated fractional mass-removal rates from the crust and the mantle. For the case where refluxing is proportional to crustal growth, all the solutions reduce to simple analytic expressions. The expression for the mean age of the mass of the crust with refluxing is given. If refluxing is significant, the model shows that highly incompatible elements have short residence times in the mantle. With plausible concentration values, material balance implies that the continents were derived from only a small fraction of the mantle.

Additional Information

© 1980 by the National Academy of Sciences. Contributed by G.J. Wasserburg, July 31, 1980. This work has been supported by National Science Foundation Grant EAR 76-22494 and National Aeronautics and Space Administration Grant NGL 05-002-188. Division [of Geological and Planetary Sciences] Contribution Number 3477 (363). The publication costs of this article were defrayed in part by page charge payment. This article must therefore be hereby marked "advertisement" in accordance with 18 U. S. C. §1734 solely to indicate this fact.

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August 22, 2023
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