Modeling magmatic systems: Thermodynamic relations

Thermodynamic Modeling of Geologic Materials: Minerals, Fluids, and Melts

Volumn 17, Issue , 2019, Pages 443-466

  Ghiorso, Mark S ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MAGMATIC SYSTEMS;

MATERIALS;

EID: 85061142939     PISSN: None     EISSN: None     Source Type: Book    
DOI: None     Document Type: Chapter

References (40)

1. Bottinga, Y., Richet, P. (1978) Thermodynamics of liquid silicates, a preliminary report. Earth Planet. Sci. Letts. 40, 382-400
2. Bottinga, Y., Weill, D.F., Richet, P. (1981) Thermodynamic modeling of silicate melts. In: R.C. Newton, A. Navrotsky, B.J. Wood, eds., Thermodynamics of Minerals and Melts, Springer-Verlag, New York, 207-302
3. Burnham, C.W. (1981) The nature of multicomponent aluminosilicate melts. In: Chemistry and Geochemistry of Solutions at High Temperatures and Pressures, D.T. Rickard and F.E. Wickman, eds., Phys. Chem. Earth 13/14, 197-229
4. Burnham, C.W., Nekvasil, H. (1986) Equilibrium properties of granite pegmatite magmas. Amer. Mineral. 71, 239-263
5. Carmichael, I.S.E., Ghiorso, M.S. (1986) Oxidation-reduction relations in basic magma: a case for homogeneous equilibria. Earth Planet. Sci. Letts. 78, 200-210
6. Carmichael, I.S.E., Nicholls, J., Spera, F.J., Wood, B.J., Nelson, S.A. (1977) High-temperature properties of silicate liquids: applications to the equilibration and ascent of basic magma. Phil. Trans. R. Soc. London A 286, 373-431
7. Doyle, C.D., Naldrett, A.J. (1986) Ideal mixing of divalent cations in mafic magma and its effect on the solution of ferrous oxide. Geochim. Cosmochim. Acta 50, 435-443
8. Doyle, C.D., Naldrett, A.J. (1987) Ideal mixing of divalent cations in mafic magma. II. The solution of NiO and the partitioning of nickel between coexisting olivine and liquid. Geochim. Cosmochim. Acta 51, 213-219
9. Ghiorso, M.S. (1983) LSEQIEQ: A FORTRAN IV subroutine package for the analysis of multiple linear regression problems with possibly deficient pseudorank and linear equality and inequality constraints. Computers and Geosciences 9, 391-416
10. Ghiorso, M.S. (1985) Chemical mass transfer in magmatic processes. I. Thermodynamic relations and numerical algorithms. Contrib. Mineral. Petrol. 90, 107-120
11. Ghiorso, M.S. (1987) Chemical mass transfer in magmatic processes. III. Crystal growth, chemical diffusion and thermal diffusion in multicomponent silicate melts. Contrib. Mineral. Petrol. 96:291-313
12. Ghiorso, M.S., Carmichael, I.S.E. (1980) A regular solution model for met-aluminous silicate liquids: Applications to geothermometry, immiscibility, and the source regions of basic magma. Contrib. Mineral. Petrol. 71, 323-342
13. Ghiorso, M.S., Carmichael, I.S.E. (1984) Comment on "Density calculations for silicate liquids. I. Revised method for aluminosilicate compositions" by Bottinga, Weill and Richet. Geochim. Cosmochim. Acta 48, 401-408
14. Ghiorso, M.S., Carmichael, I.S.E. (1985) Chemical mass transfer in magmatic processes. II. Applications in equilibrium crystallization, fractionation and assimilation. Contrib. Mineral. Petrol. 90, 121-141
15. Ghiorso, M.S., Carmichael, I.S.E., Rivers, M.L., Sack, R.O. (1983) The Gibbs free energy of mixing of natural silicate liquids; an expanded regular solution approximation for the calculation of magmatic intensive variables. Contrib. Mineral. Petrol. 84, 107-145
16. Ghiorso, M.S., Kelemen, P.B. (1987) Evaluating reaction stoichiometry in magmatic systems evolving under generalized thermodynamic constraints: Examples comparing isothermal and isenthalpic assimilation. In: Magmatic Processes: Physicochemical Principles. B.O. Mysen, ed., Geochemical Society, Spec. Publ. No. 1, p. 319-336
17. Gill, P.E., Murray, W., Wright, M.H. (1981) Practical Optimization. Academic Press, New York, 401 pp
18. Glazner, A.F. (1984) Activities of olivine and plagioclase components in silicate melts and their application to geothermometry. Contrib. Mineral. Petrol. 88, 260-268
19. Harvie, C.E., Greenberg, J.P., Weare, J.H. (1987) A chemical equilibrium algorithm for highly non-ideal multiphase systems: Free energy minimization. Geochim. Cosmochim. Acta 51, 1045-1057
20. Karpov, I.K., Kaz'min, L.A. (1972) Calculation of geochemical equilibria in homogeneous multicomponent systems. Geochem. Int'l. 9, 252-262
21. Karpov, I.K., Kaz'min, L.A., Kashik, S.A. (1973) Optimal programming for computer calculation of irreversible evolution in geochemical systems. Geochem. Int'l. 10, 464-470
22. Korzhinskii, D.S. (1949) The phase rule and systems with fully mobile components [in Russian]. Dokl. Acad. Nauk SSSR 64, 361-364
23. Korzhinskii, D.S. (1956) Deduction of thermodynamic potentials for systems with perfectly mobile components [in Russian]. Dokl. Acad. Nauk SSSR 106, 295-298
24. Korzhinskii, D.S. (1959) Physiochemical Basis of the Analysis of the Paragenesis of Minerals. Consultants Bureau, New York, 141 p
25. 2 liquids: new measurements and derived partial molar properties. Geochim. Cosmochim. Acta (in press)
26. Langmuir, C.H., Hanson, G.N. (1981) Calculating mineral-melt equilibria with stoichiometry, mass balance and single component distribution coefficients. In: R.C. Newton, A. Navrotsky, B.J. Wood, eds., Thermodynamics of Minerals and Melts (Advances in Physical Geochemistry, v.l), Springer-Verlag, New York, 247-272
27. Lawson, C.L., Hanson, R.J. (1974) Solving Least Squares Problems. Prentice-Hall, New Jersey, 340 pp
28. 2O) and Implications for Melt Speciation. Ph.D. thesis, Pennsylvania State Univ., University Park, PA, 267 pp
29. Nielsen, R.L., Drake, M.J. (1979) Pyroxene-melt equilibria. Geochem. Cosmochim. Acta 43, 1259-1272
30. Nielsen, R.L., Dungan, M.A. (1983) Low pressure mineral-melt equilibria in natural anhydrous mafic systems. Contrib. Mineral. Petrol. 84, 310-326
31. Reed, M.H. (1982) Calculation of multicomponent chemical equilibria and reaction processes in systems involving minerals, gases and an aqueous phase. Geochim. Cosmochim. Acta, 46, 513-528
32. Russell, J.K., Nicholls, J. (1985) Application of Duhem's theorem to the estimation of extensive and intensive properties of basaltic magmas. Canadian Mineral. 23, 479-488
33. Saxena, S.K. (1982) Computation of multicomponent phase equilibria. In: Saxena, S.K., ed., Advances in Physical Geochemistry, v. 2, Springer-Verlag, New York, 225-242
34. Shvarov, Yu. V., (1976) Algorithm for calculation of the equilibrium composition in a multicomponent heterogeneous system. Dokl. Akad. Nauk SSSR, 229[5], 1224
35. Shvarov, Yu. V., (1978) Minimization of the thermodynamic potential of an open chemical system. Geochem. Int'l. 15[6], 200-203
36. Smith, W.R., Missen, R.W. (1982) Chemical Reaction Equilibrium Analysis. John Wiley and Sons, New York, 364 p
37. Stebbins, J.F., Carmichael, I.S.E., Moret, L.K. (1984) Heat capacities and entropies of silicate liquids and glasses. Contrib. Mineral. Petrol. 86, 131-148
38. Stolper, E. (1982a) Water in silicate glasses: an infrared spectroscopic study. Contrib. Mineral. Petrol. 81, 1-17
39. Stolper, E. (1982b) On the speciation of water in silicate melts. Geochim. Cosmochim. Acta 46, 2609-2620
40. White, W.B., Johnson, S.M., Dantzig, G.B. (1958) Chemical equilibrium in complex mixtures. J. Chem. Phys. 28, 751-755