Modal Fractional Melting with Constant

Assuming D is a constant, D = Dq, the solution to (2.6) for the extracted fractional melt is 

Example. Plot the variations in trace element concentrations in instantaneous melt and extracted melt for an incompatible element with Dq = 0.02 during fractional melting. From Eq. (2.7) for extracted melt and Eq. (2.8) for instantaneous melt, when = 0.02, we can calculate the source-normalized concentrations C / Q and / Cq at different degrees of melting in Fig. 2.1. 

Example. Compare the concentrations of a highly incompatible trace element with = 0.02 in the extracted melt produced by batch melting and the extracted melt generated by fractional melting. 

It can be seen from Fig. 2.2 that the incompatible element concentration in the extracted melt from fractional melting is higher than that from batch melting. This is due to the fact that fractional melting is more efficient in removing incompatible elements from the source rocks. The differences between the extracted batch melt and the extracted 

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The previous four chapters deal with the fractionation of stable trace elements during partial melting. In this chapter, we study the behaviors of radioactive uranium decay series during partial melting. Since quantitative models for uranium-series disequilibria need to include additional parameters in decay constants and are thus more complicated, for simplicity, we assume that the partition coefficients remain constant during partial melting. Thus, we only present modal dynamic melting. 

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