Modal melting modelling

The basic equations describing the variation in concentration of a trace element in cpx of non-modal batch melting model can be obtained as follows (Johnson et al., 1990) ... 

Zou, H.B., 2000. Modeling of trace element fractionation during non-modal dynamic melting with linear variations in mineral/melt distribution coefficients. Geochim. Cosmochim. Acta, 64 1095-1102. 

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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