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Reactive transport in a partially molten system with binary solid solution

机译：具有二元固溶体的部分熔融系统中的反应性运输

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Melt extraction from the Earth's mantle through high-porosity channels is required to explain the composition of the oceanic crust. Feedbacks from reactive melt transport are thought to localize melt into a network of high-porosity channels. Recent studies invoke lithological heterogeneities in the Earth's mantle to seed the localization of partial melts. Therefore, it is necessary to understand the reaction fronts that form as melt flows across the lithological interface between the heterogeneity and the ambient mantle. Here we present a chromatographic analysis of reactive melt transport across lithological boundaries, using the theory of hyperbolic conservation laws. This is an extension of linear trace element chromatography to the coupling of major elements and energy transport. Our analysis allows the prediction of the nonlinear feedbacks that arise in reactive melt transport due to changes in porosity. This study considers the special case of a partially molten porous medium with binary solid solution. As melt traverses a lithological contact, binary solid solution leads to the formation of a reacted zone between an advancing reaction front and the initial contact. The analysis also shows that the behavior of a fertile heterogeneity depends on its absolute concentration, in addition to compositional differences between itself and the refractory background. We present a regime diagram that predicts if melt emanating from a fertile heterogeneity localizes into high-porosity channels or develops a zero porosity shell. The theoretical framework presented here provides a useful tool for understanding nonlinear feedbacks in reactive melt transport, because it can be extended to more complex and realistic phase behaviors.
机译：需要通过高孔隙度通道从地幔中融化提取物以解释大洋地壳的成分。反应性熔体传输的反馈被认为将熔体局部化为高孔隙度通道网络。最近的研究援引地球地幔中的岩性非均质性来播种局部熔体的局部化。因此，有必要了解随着熔体流过异质性与周围地幔之间的岩性界面而形成的反应前沿。在这里，我们使用双曲线守恒定律的理论，对跨岩性边界的反应性熔体传输进行了色谱分析。这是线性痕量元素色谱到主要元素和能量传输耦合的扩展。我们的分析可以预测由于孔隙率变化而在反应性熔体传输中产生的非线性反馈。本研究考虑了具有二元固溶体的部分熔融多孔介质的特殊情况。当熔体横穿岩性接触时，二元固溶体导致在前进的反应前沿和初始接触之间形成反应区。分析还表明，除了自身和耐火本底之间的成分差异外，可育异质性的行为还取决于其绝对浓度。我们提供了一个状态图，该图预测了从肥沃的异质性中散发出来的熔体是否定位在高孔隙度通道中或形成了零孔隙率壳。本文介绍的理论框架为理解反应性熔体传输中的非线性反馈提供了有用的工具，因为它可以扩展到更复杂和更实际的相行为。

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