Matrix rheology effects on reaction rim growth II: Coupled diffusion and creep model

Journal of Metamorphic Geology

Volumn 27, Issue 1, 2009, Pages 83-91

  Schmid, D W ^a   Abart, R ^b   Podladchikov, Y Y ^a   Milke, R ^b  

^a UNIVERSITY OF OSLO   (Norway)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Diffusion; Mechanical effects; Reaction; Rheology; Rim growth

Indexed keywords

CREEP; DEFORMATION; DIFFUSION; EXPERIMENTAL STUDY; GROWTH RATE; MATRIX; MODELING; REACTION KINETICS; REACTION RATE; RHEOLOGY;

EID: 58149083081     PISSN: 02634929     EISSN: 15251314     Source Type: Journal    
DOI: 10.1111/j.1525-1314.2008.00805.x     Document Type: Article

References (42)

1. Abart, R., Schmud, R. & Harlov, D., 2001. Metasomatic coronas around hornblendite xenoliths in granulite facies marble, Ivrea zone, N Italy, I: Constraints on component mobility. Contributions to Mineralogy and Petrology, 141, 473-493.
2. Abart, R., Kunze, K., Milke, R., Sperb, R. & Heinrich, W., 2004. Silicon and oxygen self diffusion in enstatite polycrystals: The Milke et al. (2001) rim growth experiments revisited. Contributions to Mineralogy and Petrology, 147, 633-646.
3. Abart, R., Petrishcheva, E., Fischer, F. D. & Svoboda, J., 2009. Thermodynamic model for diffusion controlled reaction rim growth in a binary system: Application to the forsterite-enstatite-quartz system. American Journal of Science, v. 309.
4. Ashworth, J. R., Sheplev, V. S., Bryxina, N. A., Kolobov, V. Y. & Reverdatto, V. V., 1998. Diffusion-controlled corona reaction and overstepping of equilibrium in a garnet granulite, Yenisey Ridge, Siberia. Journal of Metamorphic Geology, 16, 231-246.
5. Barron, L. M., 2003. A simple model for the pressure preservation index of inclusions in diamond. American Mineralogist, 88, 1615-1619.
6. Brady, J. B. & McCallister, R. H., 1983. Diffusion data for clinopyroxenes from homogenization and self-diffusion data. American Mineralogist, 68, 95-105.
7. Carmichael, D. M., 1987. Induced stress and secondary mass transfer: thermodynamic basis for the tendency towards constant-volume constraint in diffusion metasomatism. In: Chemical Transport in Metasomatic Processes (ed. Helgeson, H. C.), pp. 239-264. Reidel, Dordrecht.
8. Dodson, M. H., 1973. Closure temperature in cooling geochronological and petrological systems. Contributions to Mineralogy and Petrology, 40, 259-274.
9. Fischer, F. D., Berveiller, M., Tanaka, K. & Oberaigner, E. R., 1994. Continuum mechanical aspects of phase-transformations in solids. Archive of Applied Mechanics, 64, 54-85.
10. Fisler, D. K., Mackwell, S. J. & Petsch, S., 1997. Grain boundary diffusion in enstatite. Physics and Chemistry of Minerals, 24, 264-273.
11. Fletcher, R. C. & Merino, E., 2001. Mineral growth in rocks: Kinetic-rheological models of replacement, vein formation, and syntectonic crystallization. Geochimica et Cosmochimica Acta, 65, 3733-3748.
12. Guiraud, M. & Powell, R., 2006. P-V-T relationships and mineral equilibria in inclusions in minerals. Earth and Planetary Science Letters, 244, 683-694.
13. Hacker, B. R. & Peacock, S. M., 1995. Creation, preservation, and exhumation of ultrahigh pressure metamorphic rocks. In: Ultrahigh Pressure Metamorphism (eds Coleman, R. C. & Wang, X.), pp. 159-181. Cambridge University Press, Cambridge.
14. Hill, R., 1950. The Mathematical Theory of Plasticity. Clarendon Press, Oxford.
15. Hirth, G. & Kohlstedt, D. L., 2003. Rheology of the upper mantle and the mantle wedge: A view from the experimentalists. In: Inside the Subduction Factory (ed. Eiler, J.) Geophysical Monograph, pp. 83-105, American Geophysical Union, Washington.
16. Holland, T. J. B. & Powell, R., 1998. An internally consistent thermodynamic data set for phases of petrological interest. Journal of Metamorphic Geology, 16, 309-343.
17. Joesten, R., 1977. Evolution of mineral assemblage zoning in diffusion metasomatism. Geochimica et Cosmochimica Acta, 41, 649-670.
18. Kamb, W. B., 1961. Thermodynamictheory of nonhydrostatically stressed solids. Journal of Geophysical Research, 66, 259-271.
19. Korzhinskii, D. S., 1970. Theory of Metasomatic Zoning. Clarendon Press, Oxford.
20. Lamé, G., 1852. Leçons sur la Théorie Mathématique de L'Élasticitédes Corps Solides. Bachelier, Paris.
21. Lee, J. K., Earmme, Y. Y., Aaronson, H. I. & Russell, K. C., 1980. Plastic relaxation of the transformation strain-energy of a misfitting spherical precipitate -ideal plastic behavior. Metallurgical Transactions A-Physical Metallurgy and Materials Science, 11, 1837-1847.
22. Lenze, A., Stockhert, B. & Wirth, R., 2005. Grain scale deformation in ultra-high-pressure metamorphic rocks - an indicator of rapid phase transformation. Earth and Planetary Science Letters, 229, 217-230.
23. Liu, M., Kerschhofer, L., Mosenfelder, J. L. & Rubie, D. C., 1998. The effect of strain energy on growth rates during the olivine-spinel transformation and implications for olivine metastability in subducting slabs. Journal of Geophysical Research-Solid Earth, 103(B10), 23897-23909.
24. Luan, F. C. & Paterson, M. S., 1992. Preparation and deformation of synthetic aggregates of quartz. Journal of Geophysical Research-Solid Earth, 97 (B1), 301-320.
25. Markl, G., Foster, C. T. & Bucher, K., 1998. Diffusion-controlled olivine corona textures in granitic rocks from Lofoten, Norway: calculation of Onsager diffusion coefficients, thermodynamic modelling and petrological implications. Journal of Metamorphic Geology, 16, 607-623.
26. Milke, R. & Heinrich, W., 2002. Diffusion-controlled growth of wollastonite rims between quartz and calcite: Comparison between nature and experiment. Journal of Metamorphic Geology, 20, 467-480.
27. Milke, R., Abart, R., Kunze, K., Koch-Muller, M., Schmid, D. W. & Ulmer, P., 2009. Matrix rheology effects on reaction rim growth I: evidence from orthopyroxene rim growth experiments. Journal of Metamorphic Geology, 27, 71-82.
28. Milke, R., Wiedenbeck, M. & Heinrich, W., 2001. Grain boundary diffusion of Si, Mg, and 0 in enstatite reaction rims: A SIMS study using isotopically doped reactants. Contributions to Mineralogy and Petrology, 142, 15-26.
29. Morris, S., 1992. Stress Relief during Solid-State Transformations in Minerals. Proceedings: Mathematical and Physical Sciences, 436, 203-216.
30. Morris, S. J. S., 2002. Coupling of interface kinetics and transformation-induced strain during pressure-induced solid-solid phase changes. Journal of the Mechanics and Physics of Solids, 50, 1363-1395.
31. Mosenfelder, J. L. & Bohlen, S. R., 1997. Kinetics of the coesite to quartz transformation. Earth and Planetary Science Letters, 153, 133-147.
32. 4 wadsleyite determined by relaxation of transformation stress. Physics of the Earth and Planetary Interiors, 120, 63-78.
33. Paterson, M. S., 1995. A theory for granular flow accomodated by material transfer via an intergranular fluid. Tectonophysics, 245, 135-151.
34. Paterson, M. S. & Luan, F. C., 1990. Quazite rheology under geological conditions. In: Deformation Mechanisms, Rheology and Tectonics (eds Knipe, R. J. & Rutter, E. H.) Geological Society Special Publication, pp. 299-307. Geological Society, London.
35. Rubie, D. C. & Thompson, A. B., 1985. Kinetics of metamorphic reactions at elevated temperatures and pressures: An appraisal on experimental data. In: Metamorphic Reactions Kinetics, Textures, and Deformation (eds Rubie, D. C. & Thompson, A. B.), pp. 27-79. Springer, New York.
36. Taber, S., 1916. The growth of crystals under external pressure. American Journal of Science, 41, 532-556.
37. Thompson, J. B., 1959. Local equilibrium in metasomatic processes. In: Researches in Geochemistry (ed Abelson, P. H.), pp. 427-457. Wiley, New York.
38. Vernon, R. H., 2004. A Practical Guide to Rock Microstructure. Cambridge University Press, Cambridge.
39. 4 and Al-Mg interdiffusion in spinel at 1200 to 2000 degrees C and 1.0 to 4.0GPa. Geochimica Et Cosmochimica Acta, 66, 2123-2138.
40. Wheeler, J., 1987. The significance of grain-scale stresses in the kinetics of metamorphism. Contributions to Mineralogy and Petrology, 97, 397-404.
41. Yund, R. A., 1997. Rates of grain boundary diffusion through enstatite and forsterite reaction rims. Contributions to Mineralogy and Petrology, 126, 224-236.
42. Zhang, Y. X., 1998. Mechanical and phase equilibria in inclusion-host systems. Earth and Planetary Science Letters, 157, 209-222.