Mathematics – Logic
Scientific paper
Oct 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994pepi...86..223r&link_type=abstract
Physics of the Earth and Planetary Interiors (ISSN 0031-9201), vol. 86, no. 1-3, p. 223-241
Mathematics
Logic
93
Earthquakes, Geological Faults, Kinetic Energy, Lithosphere, Metastable State, Olivine, Phase Transformations, Spinel, Subduction (Geology), Grain Boundaries, Latent Heat, Mathematical Models, Nucleation
Scientific paper
The persistence of metastable olivine to depths greater than 400 km in subducting slabs has implications for the generation of deep-focus earthquakes, the magnitude of buoyancy forces driving plate motion, and the state of stress in the slab. The depth to which metastable olivine (alpha) can survive in a subduction zone and the depth interval over which transformation to beta- or gamma-(Mg,Fe)2SiO4 occurs have been evaluated from experimental kinetic data for the Mg2GeO4 and Ni2SiO4 alpha-gamma transformations and the Mg2SiO4 alpha-beta transformation. The data were extrapolated using a kinetic model for grain-boundary nucleation and interface-controlled growth under non-isothermal and non-isobaric conditions. The results predict that metastable Mg(1.8)Fe(0.2)SiO4 olivine survives to depths greater than 500 km in the cold interior of rapidly subducting slabs of old lithosphere. The onset of transformation to gamma-(Mg,Fe)2SiO4 (spinel) depends only on growth kinetics and coincides with the 550(+/- 50) C isotherm. Including the effects of latent heat production causes the transformation to occur by a runaway process over a very narrow depth interval. At the onset of transformation, high nucleation rates and low growth rates are consistent with the formation of very fine-grained reaction products which are required for the transformational faulting mechanism of deep-focus earthquakes. When olivine crosses the equilibrium boundaries at higher temperatures (e.g. higher than 700 C at 400 km depth), transformation to beta or gamma occurs much closer to equilibrium, at a depth controlled by nucleation kinetics. In this case, the effect of latent heat production on the transformation kinetics is small and microstructural evolution is unlikely to result in transformational faulting. Below the depth of olivine breakdown, cold slabs are likely to have a complex rheological structure owing to temperature-dependent microstructural evolution during the phase transformation.
Ross Charles R. II
Rubie David C.
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