Disequilibrium melting of a two phase multicomponent mantle

Rudge, J. F. and Bercovici, David and Spiegelman, Marc (2011) Disequilibrium melting of a two phase multicomponent mantle. Geophysical Journal International, 184 (2). pp. 699-718. DOI 10.1111/j.1365-246X.2010.04870.x

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Abstract

Melt generation and segregation in Earth's mantle is typically modelled using the mixture theory of two phase flows, which combine a set of conservation laws for mass, momentum and energy with phenomenological laws for fluxes of mass and heat. Most current two phase flow models assume local thermodynamic equilibrium between melt and matrix, but geochemical observations suggest disequilibrium transport may play an important role. Here we generalise the existing two phase flow theories to encompass multiple thermodynamic components and disequilibrium. Our main focus is on the phenomenological laws describing phase change and we present general disequilibrium melting laws, which reduce to the familiar fractional and equilibrium melting laws in appropriate limits. To demonstrate the behaviour of our melting laws, we address two simple model problems for a binary system: melting at constant pressure and melting in a 1-D upwelling column at steady state. The framework presented here will prove useful in future for modelling reaction infiltration instabilities in a thermodynamically consistent manner. This framework will be useful not only for magma dynamics but for a wide range of reactive two phase flow problems.

Item Type: Article
Uncontrolled Keywords: 2010AREP; IA61;
Subjects: 02 - Geodynamics, Geophysics and Tectonics
Divisions: 02 - Geodynamics, Geophysics and Tectonics
Journal or Publication Title: Geophysical Journal International
Volume: 184
Page Range: pp. 699-718
Identification Number: 10.1111/j.1365-246X.2010.04870.x
Depositing User: Sarah Humbert
Date Deposited: 10 Dec 2010 18:09
Last Modified: 23 Jul 2013 10:00
URI: http://eprints.esc.cam.ac.uk/id/eprint/1974

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