Topology in isotopic multispace and origin of mantle chemical heterogeneities

Details Topology in isotopic multispace and origin of mantle chemical heterogeneities Topology in isotopic multispace and origin of mantle chemical heterogeneities

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987e%26psl..81..319a&link_type=abstract

Earth and Planetary Science Letters, Volume 81, Issue 4, p. 319-337.

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In this paper we present a simple technique for multidimensional treatment of isotopic data, which allows a global and rigorous correlation between the various radiogenic tracers.
This technique is based on the determination of the eigenvectors of the data matrix, allowing a geometric description of the inertia ellipsoid corresponding to the cluster of experimental data points. The relationships between the various sets of samples can be analyzed using the projections on the main elongation planes.
When processing the Pb-Sr-Nd data for the oceanic mantle (OIB + MORB) with this technique we find that at least four different end-members are needed to define the ``mantle array'' which thus cannot be a plane surface.
Samples from island arcs (IAB) show the contribution of a component clearly out of the oceanic domain and very similar to terrigenous sediments.
Continental tholeiites (CFB) also show some sort of contamination (but distinct from that of IAB) by the continental crust. They also show a domain overlapping with that of the oceanic islands corresponding to the compositions of the ``Dupal anomaly''.
Multispace analysis also permits a rigorous comparison of relationships between the various isotopic tracers. In particular, we demonstrate that a U-Pb fractionation independent from the correlated Sr-Nd, Th-U and Th-Sr ones does exist. Consequently, a three-dimensional analysis performed only with lead isotopes yields by itself the main information that can be inferred from the five Pb-Sr-Nd dimensions. Helium also yields independent information decoupled with respect to the other tracers, adding one fifth end-member (Loihi, Hawaii islands) to the OIB + MORB array.

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