Supplementary Information
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 (14)
where  is the mean concentration of aggregated melt and  is the instantaneous concentration in the liquid for the i-th element. Assuming constant solid phase proportions entering in the melt, the bulk distribution coefficient Di, between liquid and residual solid can be evaluated by:
 (15)
where Xj is the fraction of the j-th mineral and dij is the partition coefficient for the i-th element between the j-th phase and liquid. Hence the instantaneous concentration of the i-th element, during near-fractional melting, is given by:  (16a)
where  is the effective bulk partition coefficient with 0 melt retained; and during batch melting, assuming that melt and solid move together vertically upward, by:
 (16b)
where Fmax is the maximum extent of melting at the top of the melting column located at (x,y0). Supplementary Fig. shows modeled REE patterns from partial aggregated melts predicted for vertical increments of 5 km at two different along axis locations. The increasing influence of garnet in the aggregate melt, as the ridge-transform intersection is approached, is clearly displayed. Phipps Morgan J. & Forsyth D. W. Three-dimensional flow and temperature perturbations due to a transform offset: Effects on oceanic crustal and upper mantle structure. J. Geophys. Res. Directory: nature -> journal journal -> Supplementary Methods journal -> Trees publication Series B, Research Report n journal -> Supplementary Information nature -> Carolyn Finney Ph. D. Candidate Graduate School of Geography, Clark University nature -> A magnet release nature calls journal -> Introduction – Cryptosporidium journal -> Supplementary Methods Galactic evolutionary path from primeval irregulars to present-day ellipticals journal -> Supplementary Web Information (Torchin et al.) Examples of parasites and introduced species journal -> Supplementary Information: Silva, J. M. C. & Tabarelli, M. Tree species impoverishment and the future flora of the Atlantic forest of north-east Brazil journal -> Supplementary Methods Recording whisper calls Download 1.58 Mb. Share with your friends:
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