Kinetics of the olivine-spinel transformation in subducting lithosphere: experimental constraints and implications for deep slab processes

Abstract 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 (α) can survive in a subduction zone and the depth interval over which transformation to β- or γ-(Mg,Fe)2SiO4 occurs have been evaluated from experimental kinetic data for the Mg2GeO4 and Ni2SiO4 α-γ transformations and the Mg2SiO4 α-β 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 Mg1.8Fe0.2SiO4 olivine survives to depths greater than 500 km in the cold interior of rapidly subducting slabs of old lithosphere. The onset of transformation to γ-(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 β or γ 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.

[1]  N. L. Bowen,et al.  The system MgO-FeO-SiO 2 , 1935 .

[2]  P. Molnar,et al.  Lengths of intermediate and deep seismic zones and temperatures in downgoing slabs of lithosphere , 1979 .

[3]  D. Wiens,et al.  Evidence for transformational faulting from a deep double seismic zone in Tonga , 1993, Nature.

[4]  D. Suetsugu,et al.  Seismological evidence for metastable olivine inside a subducting slab , 1992, Nature.

[5]  H. Hamaguchi,et al.  Earthquake generating stresses in a descending slab , 1985 .

[6]  S. Kirby Localized polymorphic phase transformations in high‐pressure faults and applications to the physical mechanism of deep earthquakes , 1987 .

[7]  T. Iidaka,et al.  Double Seismic Zone for Deep Earthquakes in the Izu-Bonin Subduction Zone , 1994, Science.

[8]  D. Yuen,et al.  The effects of phase transition kinetics on subducting slabs , 1993 .

[9]  J. Rosenfeld,et al.  Optical Determination of Topotactic Aragonite-Calcite Growth Kinetics: Metamorphic Implications , 1981, The Journal of Geology.

[10]  P. Vaughan,et al.  Creep mechanism in Mg2GeO4: Effects of a phase transition , 1981 .

[11]  J. Brodholt,et al.  Relationship of deep seismicity to the thermal structure of subducted lithosphere , 1991, Nature.

[12]  A. B. Thompson,et al.  Kinetics of Metamorphic Reactions at Elevated Temperatures and Pressures: An Appraisal of Available Experimental Data , 1985 .

[13]  K. Easterling,et al.  Phase Transformations in Metals and Alloys , 2021 .

[14]  Alexandra Navrotsky,et al.  Olivine-modified spinel-spinel transitions in the system Mg2SiO4-Fe2SiO4: Calorimetric measurements, thermochemical calculation, and geophysical application , 1989 .

[15]  A. .. Ringwood The system Mg 2 SiO 4 -Mg 2 GeO 4 , 1956 .

[16]  John W. Cahn,et al.  The kinetics of grain boundary nucleated reactions , 1956 .

[17]  D. Rubie,et al.  The olivine → spinel transformation and the rheology of subducting lithosphere , 1984, Nature.

[18]  A. E. Ringwood,et al.  Melting relationships of Ni-Mg olivines and some geochemical implications , 1956 .

[19]  J. Vidale,et al.  Upper-mantle seismic discontinuities and the thermal structure of subduction zones , 1992, Nature.

[20]  J. Kasahara,et al.  Experimental Measurements of Reaction Rate at the Phase Change of Nickel Olivine to Nickel Spinel , 1971 .

[21]  E. Kreyszig,et al.  Advanced Engineering Mathematics. , 1974 .

[22]  D. Rubie Reaction-enhanced ductility: The role of solid-solid univariant reactions in deformation of the crust and mantle , 1983 .

[23]  G. Borenius,et al.  Statistical Adjustment of Data , 1966 .

[24]  T. Kikegawa,et al.  An in situ X ray diffraction study of the kinetics of the Ni2SiO4 olivine‐spinel transformation , 1990 .

[25]  D. Prior,et al.  Faulting associated with the olivine to spinel transformation in Mg2GeO4 and its implications for deep‐focus earthquakes , 1991 .

[26]  W. Durham,et al.  Mantle Phase Changes and Deep-Earthquake Faulting in Subducting Lithosphere , 1991, Science.

[27]  T. E. Young,et al.  Anticrack-associated faulting at very high pressure in natural olivine , 1990, Nature.

[28]  A. Navrotsky,et al.  The Mg2GeO4 olivine-spinel phase transition , 1987 .

[29]  Roger G. Burns,et al.  Kinetics of high-pressure phase transformations: Implications to the evolution of the olivine → spinel transition in the downgoing lithosphere and its consequences on the dynamics of the mantle , 1976 .

[30]  S. Kirby,et al.  Time and Metamorphic Petrology: Calcite to Aragonite Experiments , 1992, Science.

[31]  P. Burnley,et al.  Stress dependence of the mechanism of the olivine–spinel transformation , 1989, Nature.

[32]  J. Christian,et al.  The theory of transformations in metals and alloys , 2003 .

[33]  Richard J. O'Connell,et al.  On the scale of mantle convection , 1977 .

[34]  R. Yund,et al.  Transformation kinetics of polycrystalline aragonite to calcite: new experimental data, modelling, and implications , 1993 .

[35]  N. Hamaya,et al.  Experimental Investigation on the Mechanism of Olivine → Spinel Transformation: Growth of Single Crystal Spinel from Single Crystal Olivine in Ni2SiO4 , 1982 .

[36]  A. Navrotsky,et al.  Calorimetric study of the stability of high pressure phases in the systems CoOSiO2 and “FeO”SiO2, and calculation of phase diagrams in MOSiO2 systems , 1979 .

[37]  Hiroki Sato,et al.  Aseismicity in the lower mantle by superplasticity of the descending slab , 1991, Nature.

[38]  Bernard J. Wood,et al.  Subduction zone thermal structure and mineralogy and their relationship to seismic wave reflections and conversions at the slab/mantle interface , 1989 .

[39]  D. Rubie,et al.  Mechanisms of the transformations between the α, β and γ polymorphs of Mg2SiO4 at 15 GPa , 1992 .

[40]  R. Pilkington Creep of crystals: by Jean-Paul Poirier; published by Cambridge University Press, Cambridge, Cambs., 1985; 260 pp.; price, £27.50, U.S. $49.50 (hardback); £10.95, U.S. $22.95 (paperback) , 1986 .

[41]  H. Hamaguchi,et al.  Stress distribution due to olivine-spinel phase transition in descending plate and deep focus earthquakes , 1987 .

[42]  D. L. Anderson Theory of Earth , 2014 .

[43]  D. Rubie Mechanisms of reaction-enhanced deformability in minerals and rocks , 1990 .

[44]  P. Burnley,et al.  A new self-organizing mechanism for deep-focus earthquakes , 1989, Nature.

[45]  D. Rubie,et al.  Transformation mechanisms of San Carlos olivine to (MgFe)2SiO4 β-phase under subduction zone conditions , 1994 .