Chemical mass transfer in magmatic processes - I. Thermodynamic relations and numerical algorithms

Contributions to Mineralogy and Petrology

Volumn 90, Issue 2-3, 1985, Pages 107-120

  Ghiorso, Mark S ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0022249031     PISSN: 00107999     EISSN: 14320967     Source Type: Journal    
DOI: 10.1007/BF00378254     Document Type: Article

References (55)

1. Intrinsic oxygen fugacity measurements: techniques and results for spinels from upper mantle peridotites and megacryst assemblages
2. A comparison of two models of ternary excess free energy
3. Segregation in ternary solutions
4. The geometry of multicomponent exsolution
5. A simple method of estimating the binodal surface
6. The calculated geometry of silicate liquid immiscibility
7. Programs for calculating the geometry of multicomponent exsolution
8. A compact algorithm for computing the stationary point of a quadratic function subject to linear constraints
9. Algorithm 559: The stationary point of a quadratic function subject to linear constraints [E4]
10. Theoretical prediction of equilibrium phase assemblages in multicomponent systems
11. Thermodynamic modelling of silicate melts
12. Computation of phase and chemical equilibria
13. Calculation of the equilibrium composition of multicomponent systems by “minimization” method from the equilibrium constants
14. Crystal growth and nucleation theory and the numerical simulation of igneous crystallization
15. LSEQIEQ: A FORTRAN IV subroutine package for the analysis of multiple linear regression problems with possibly deficient pseudorank and linear equality and inequality constraints
16. Activity/composition relations in the ternary feldspars
17. The Gibbs free energy of mixing of natural silicate liquids; an expanded regular solution approximation for the calculation of magmatic intensive variables
18. Newton-type methods for linearly constrained optimization
19. Evaluation of irreversible reactions in geochemical processes involving minerals and aqueous solutions — I. Thermodynamic relations
20. Calculation of mass transfer in geochemical processes involving aqueous solutions
21. Summary and critique of the thermodynamic properties of rock-forming minerals
22. Calculation of mass transfer among minerals and aqueous solutions as a function of time and surface area in geochemical processes. I. Computational approach
23. Predicting major element mineral/melt equilibria: A statistical approach
24. Calculation of geochemical equilibria in homogeneous multicomponent systems
25. Optimal programming for computer calculation of irreversible evolution in geochemical systems
26. The ferricferrous ratio of natural silicate liquids equilibrated in air
27. SOLVUS: A FORTRAN IV program to calculate solvi for binary isostructural crystalline solutions
28. Calculating mineral-melt equilibria with stoichiometry, mass balance, and single-component distribution coefficients
29. Failure, the causes and cures
30. The system Fe-Si-O: Oxygen buffer calibrations to 1,500 K
31. A model of magmatic crystallization
32. Heat effects of assimilation, crystallization, and vesiculation in magmas
33. Low pressure mineral-melt equilibria in natural anhydrous mafic systems
34. Calculation of multicomponent chemical equilibria and reaction processes in systems involving minerals, gases and an aqueous phase
35. Thermodynamic properties of minerals and related substances at 298.15 K and 1 Bar (105 Pascals) pressure and at higher temperatures
36. Computer modelling of formation of the chemical composition of natural solutions during interaction in the water-rock system
37. Oxygen fugacity of basaltic magmas and the role of gas-forming elements
38. Computation of multicomponent phase equilibria
39. Theoretical computation of mineral assemblages in pyrolite and lherzolite
40. Algorithm of calculation of the equilibrium composition in a multicomponent heterogeneous system
41. Minimization of the thermodynamic potential of an open chemical system
42. The damped Taylor Series method for minimizing a sum of squares and for solving systems of non-linear equations
43. Geochemical reaction and open systems
44. Chemical equilibrium in complex mixtures