Abstract
During metamorphism phases grow and dissolve dominantly along grain boundaries. Bulk-diffusion models for the development of metamorphic textures often assume that diffusion is homogeneous in regions of each phase, rather than being localised along phase boundaries. Under isotropic stress, chemical potentials of components involved in reactions are likely to be buffered along grain boundaries between phases, thus inhibiting diffusion and growth. Motive forces must exist which overcome this and it is proposed here that local heterogeneous stresses will be important. A mathematical theory for stress-controlled growth is derived. This theory predicts that the growth rates of two phases along their mutual interface will be linked in a quantifiable way. It forms a basis for considering the important effects of stresses induced by local volumetric changes during metamorphism, and it provides a link between these effects and those related to pressure-solution in deforming rocks.
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References
Bell TH, Rubenach MJ, Fleming PD (1986) Porphyroblast nucleation, growth and dissolution in regional metamorphic rocks as a function of deformation partitioning during foliation development. J Metamorph Geol 4:37–67
Bird RB, Stuart WE, Lightfoot EN (1966) Transport phenomena. John Wiley, New York
Brady JB (1975) Reference frames and diffusion coefficients. Am J Sci 275:954–983
Brady JB (1983) Intergranular diffusion in metamorphic rocks. Am J Sci 283A:181–200
Carmichael DM (1969) On the mechanism of prograde metamorphic reactions in quartz-bearing pelitic rocks. Contrib Mineral Petrol 20:244–267
Casey M (1976) The application of finite element analysis to some problems in structural geology. Unpublished PhD thesis, University of London
Ferguson CC, Harvey PK, Lloyd GE (1980) On the mechanical interaction between a growing porphyroblast and its surrounding matrix. Contrib Mineral Petrol 75:339–352
Fisher GW (1978) Rate laws in metamorphism. Geochim Cosmochim Acta 42:1035–1050
Fletcher RC (1982) Coupling of diffusional mass transport and deformation in a tight rock. Tectonophysics 83:275–291
Freer R (1981) Diffusion in silicate minerals and glasses: a data digest and guide to the literature. Contrib Mineral Petrol 76:440–454
Gibbs JW (1906) On the equilibrium of heterogeneous substances. In: Gibbs W (ed) The scientific papers, vol 1. Longmans, Green, Toronto, pp 55–349
Gratier JP, Guiguet R (1986) Experimental pressure solution-deposition on quartz grains: the crucial effect of the nature of the fluid. J Struct Geol 8:845–856
Hatch FH, Wells AK, Wells MK (1972) Petrology of the igneous rocks. George Allen and Unwin, London
Joesten R (1977) Evolution of mineral assemblage zoning in diffusion metasomatism. Geochim Cosmochim Acta 41:649–670
Joesten R (1983) Grain growth and grain-boundary diffusion in quartz from the Christmas Mountains (Texas) contact aureole. Am J Sci 283A:233–254
Karato SI, Paterson MS, FitzGerald JD (1986) Rheology of synthetic olivine aggregates: influence of grain size and water. J Geophys Res 91:8151–8176
Kingery WD, Bowen HK, Uhlmann DR (1976) Introduction to ceramics. John Wiley, New York
Loomis TP (1983) Compositional zoning of crystals: a record of growth and reaction history. In: Saxena SK (ed) Advances in physical geochemistry, vol 3. Kinetics and equilibrium in mineral reactions. Springer, Berlin Heidelberg New York
McLellan AG (1980) The classical thermodynamics of deformable materials. Cambridge University Press
Poirier JP (1985) Creep of crystals. Cambridge University Press
Potdevin J-L (1984) Metamorphisme et tectonique dans les Schistes Lustres a l'Est de Corte (Corse). 3ème Partie. Deformation par dissolution-cristallisation. Thèse, Doctorat de Troisième Cycle, Université Claude Bernard-Lyon I
Raj R (1982) Creep in polycrystalline aggregates by matter transport through a liquid phase. J Geophys Res 87:4731–4739
Robin P-YF (1978) Pressure solution at grain-to-grain contacts. Geochim Cosmochim Acta 42:1383–1389
Robin P-YF (1979) Theory of metamorphic segregation and related processes. Geochim Cosmochim Acta 43:1587–1600
Rubie DC (1986) The catalysis of mineral reactions by water and restrictions on the presence of aqueous fluid during metamorphism. Mineral Mag 50:399–415
Rutter EH (1976) The kinetics of rock deformation by pressure solution. Philos Trans R Soc London A283:203–219
Schmalzried H (1978) Reactivity and point defects of double oxides with emphasis on simple silicates. Phys Chem Miner 2:279–294
Shatynski SR, Hirth JP, Rapp RA (1976) A theory of multiphase binary diffusion. Acta Metall 24:1071–1078
Stephansson O (1973) Stress-induced diffusion during folding. Tectonophysics 135:649–651
Thompson AB, Rubie DC (1985) Kinetics of metamorphic reactions at elevated temperatures and pressures: an appraisal of available experimental data. In: Thompson AB, Rubie DC (eds)
Thompson AB, Rubie DC (eds) (1985) Advances in physical geochemistry, vol 4. Metamorphic reactions. Springer, Berlin Heidelberg New York
Tracy RJ, McLellan EL (1985) A natural example of the kinetic controls on compositional and textural equilibration. In: Thompson AB, Rubie DC (eds) Advances in physical geochemistry, vol 4. Metamorphic reactions. Springer, Berlin Heidelberg New York
Urai JL, Spiers CJ, Zwart HJ, Lister GS (1986) Weakening of rocksalt by water during long-term creep. Nature 324:554–557
Van der Molen I (1985) Interlayer material transport during layer-normal shortening. Part I. The model. Tectonophysics 115:275–295
Vernon RH (1976) Metamorphic Processes. George Allen, Unwin, London
Walther J, Wood BJ (1983) Rate and mechanism in prograde metamorphism. Contrib Mineral Petrol 88:246–259
Weare JH, Stephens JR, Eugster HP (1976) Diffusion metasomatism and mineral rection zones: general principles and application to feldspar alteration. Am J Sci 276:767–816
Wheeler J (1986) Physical and chemical processes in ductile shear zones. Unpublished PhD thesis, University of Leeds
White SH, Knipe RJ (1978) Transformation- and reaction-enhanced ductility in rocks. J Geol Soc London 135:513–516
Wintsch RP (1985) The possible effects of deformation on chemical processes in metamorphic fault zones. In: Thompson AB, Rubie DC (eds) Advances in physical geochemistry, vol 4. Metamorphic reactions. Springer, Berlin Heidelberg New York
Wintsch RP, Dunning J (1985) The effect of dislocation density on the aqueous solubility of quartz and some geologic implications: a theoretical approach. J Geophys Res 90:3649–3657
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Wheeler, J. The significance of grain-scale stresses in the kinetics of metamorphism. Contr. Mineral. and Petrol. 97, 397–404 (1987). https://doi.org/10.1007/BF00372002
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DOI: https://doi.org/10.1007/BF00372002