Reactive transport in a partially molten system with binary solid solution

摘要: Melt extraction from the Earth's mantle through high-porosity channels is required to explain composition of oceanic crust. Feedbacks reactive melt transport are thought localize into a network channels. Recent studies invoke lithological heterogeneities in seed localization partial melts. Therefore, it necessary understand reaction fronts that form as flows across interface between heterogeneity and ambient mantle. Here we present chromatographic analysis boundaries, using theory hyperbolic conservation laws. This an extension linear trace element chromatography coupling major elements energy transport. Our allows prediction nonlinear feedbacks arise due changes porosity. study considers special case partially molten porous medium with binary solid solution. As traverses contact, solution leads formation reacted zone advancing front initial contact. The also shows behavior fertile depends on its absolute concentration, addition compositional differences itself refractory background. We regime diagram predicts if emanating localizes or develops zero porosity shell. theoretical framework presented here provides useful tool for understanding transport, because can be extended more complex realistic phase behaviors.