Journal ArticleDOI
Algorithmic modifications extending MELTS to calculate subsolidus phase relations
Paul D. Asimow,Mark S. Ghiorso +1 more
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TLDR
In this article, the MELTS software package is modified to support the calculation of heterogeneous phase equilibria in the subsolidus by adding and removing phases from the assemblage without adjusting the system bulk composition.Abstract:
Algorithmic modifications to the MELTS software package are presented in order that calculations of heterogeneous phase equilibria can be performed in the subsolidus. Methods
are presented for: (1) selecting an "initial guess assemblage" that satisfies the bulk composition constraints; (2) detecting saturation of new phases (including liquid) in an assemblage; (3) adding and removing phases from the assemblage without adjusting the system bulk composition; and (4) constraining the assemblage to a fixed f_(O2). These methods have O2 been added to MELTS, allowing it to calculate heterogeneous phase equilibria with or without liquid, closed or open to O, and with fixed intensive variables (P,T), (P,S), (P,H), or (V,T). Applications include fractional melting calculations, metamorphic phase equilibria, and geophysical models of subsolidus regions of the Earth.read more
Citations
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Journal ArticleDOI
Zircon saturation re-revisited
TL;DR: In this paper, the authors used a Bayesian approach to optimize the calculation of the coefficients in the zircon solution model, which is given by: ln D Zr = 10108 ± 32 / T K − 1.16 ± 0.15 M − 1 − 1.48 ± 0.09 where DZr is the distribution coefficient of Zr between zirton and melt and the errors are at one sigma.
Journal ArticleDOI
Rhyolite-MELTS: a Modified Calibration of MELTS Optimized for Silica-rich, Fluid-bearing Magmatic Systems
TL;DR: In this paper, a modified calibration of MELTS optimized for silicic systems, dubbed rhyolite-MELTS, using early erupted Bishop pumice as a reference.
Journal ArticleDOI
Thermodynamics of mantle minerals - II. Phase equilibria
TL;DR: In this paper, a thermodynamic method for the computation of phase equilibria and physical properties of multiphase assemblages is presented, and a global inversion strategy for determining the values of the free parameters in their theory and compare inverted parameter values with expectations based on scaling arguments.
Journal ArticleDOI
Adiabat_1ph: A new public front‐end to the MELTS, pMELTS, and pHMELTS models
Paula M. Smith,Paul D. Asimow +1 more
TL;DR: The program adiabat_1ph is a simple text‐menu driver for subroutine versions of the algorithms MELTS, pMELts, and pHMELTS that may be used to calculate equilibrium assemblages along a thermodynamic path set by the user and can simultaneously calculate trace element distributions.
Journal ArticleDOI
Partitioning of water during melting of the Earth's upper mantle at H2O-undersaturated conditions
TL;DR: In this paper, the authors present the results of an experimental study of the partitioning of water between common upper mantle minerals (olivine, orthopyroxene, clinopyroxenes, garnet) and silicate melt, consisting of 352 measurements in 23 hydrous melting experiments.
References
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Solving least squares problems
TL;DR: Since the lm function provides a lot of features it is rather complicated so it is going to instead use the function lsfit as a model, which computes only the coefficient estimates and the residuals.
Journal ArticleDOI
Chemical mass transfer in magmatic processes IV. A revised and internally consistent thermodynamic model for the interpolation and extrapolation of liquid-solid equilibria in magmatic systems at elevated temperatures and pressures
Mark S. Ghiorso,Richard O. Sack +1 more
TL;DR: In this article, a regular solution-type thermodynamic model for twelve-component silicate liquids in the system SiO2-TiO 2-Al 2O3-Fe2O 3-Cr2O3 -FeO-MgO-CaO-Na2O-K 2O-P2O5-H2O is calibrated.
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Solving Least Squares Problems
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The compressibility of silicate liquids containing Fe 2 O 3 and the effect of composition, temperature, oxygen fugacity and pressure on their redox states
TL;DR: In this paper, the authors extended the empirical expression of Sack et al. to allow the calculation of Fe-redox equilibrium in a natural silicate liquid as a function of composition, temperature, fo2 and pressure; a more formal thermodynamic expression is presented in the Appendix.
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Chemical mass transfer in magmatic processes IV. A revised and internally consistent thermodynamic model for the interpolation and extrapolation of liquid-solid equilibria in magmatic systems at elevated temperatures and pressures
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