对一类相变体积分数计算公式的修正
|
摘要
考虑了相变过程中生成相晶核的真实形状,对1956年Cahn给出的颗粒边界成核情况下成核长大型相变的相变体积分数计算公式进行了修正;当初始实验数据是成核率、长大率时,两种相变体积分数计算公式的计算结果差别很大.当初始实验数据是相变体积分数随时间变化的实验点时,两种相变体积分数计算公式所给出的计算结果的差别主要由拟合误差所致.无论从哪种实验数据开始计算,两种不同的计算模型给出的生成相的颗粒大小都存在很大区别,这将影响对俯冲带流变结构的认识.
Considering the real shape of nuclei in phae transformation processes,we modified Cahn's volume fraction formulae of the phase transformation with grain boundary nucleation and interface-controlled growth.When the input experimental data are nucleation and growth rates of phase transformations,there are great differences between the results calculated by the traditional formulae and those calculated by the modified formulae.If the input experimental data are in-situ observations of volume fraction in the phase transformation processes,the differences between them will be minor and mainly due to the fitting-errors.In any case,the differences of the grain sizes given by two models are huge,which will greatly influence the rheological structures in subduction zones.
Considering the real shape of nuclei in phae transformation processes,we modified Cahn's volume fraction formulae of the phase transformation with grain boundary nucleation and interface-controlled growth.When the input experimental data are nucleation and growth rates of phase transformations,there are great differences between the results calculated by the traditional formulae and those calculated by the modified formulae.If the input experimental data are in-situ observations of volume fraction in the phase transformation processes,the differences between them will be minor and mainly due to the fitting-errors.In any case,the differences of the grain sizes given by two models are huge,which will greatly influence the rheological structures in subduction zones.
引文
[1]Rubie D C,Tsuchida Y,Yagi T,et al.An in situ X ray diffractionstudy of the kinetics of the Ni2SiO4olivine-spinel transformation.J.Geophys.Res.,1990,95:15829~15844
[2]Kirby S H,Stein S,Okal E A,Rubie D C.Metastable mantle phasetransformations and deep earthquakes in subducting oceaniclithosphere.Rev.Geophys,1996,34:261~306
[3]宁杰远,臧绍先.对俯冲带深震成因的探讨.地震学报,1999,21(5):523~532Ning J Y,Zang S X.On the generation of deep focus earthquakes insubduction zones.Acta Seismologica Sinica,1999,12(5):573~583
[4]宁杰远,臧绍先.俯冲带波速结构的数值模拟.地球物理学报,2001,44(2):190~198Ning J Y,Zang S X.Numerical modeling of wave velocity structureof subduction zones.Chinese J.Geophys.(in Chinese),2001,44(2):187~195
[5]臧绍先,宁杰远.亚稳态橄榄石对俯冲带负浮力的影响及其动力学意义.地球物理学报,2001,44(3):336~345Zang S X,Ning J Y.Effects of metastable Olivine on negativebuoyance in subduction zones and their dynamic siganificance.Chinese J.Geophys.(in Chinese),2001,44(3):330~339
[6]Bina C R,Stein S,Marton F C,Van Ark E M.Implications of slabmineralogy fro subduction dynamics.Phys.Earth Planet.Inter.,2001,127:51~66
[7]Burnley P C.The effect of nonhydrostatic stress on the olivine-spineltransformation in magnesium germinate.[Ph.D.Thesis].Universityof California,Davis,1990.187
[8]Brearley A J,Rubie D C,Ito E.Mechanisms of the transformationsbetween the alpha,beta and gamma polymorphs of Mg2SiO4at 15GPa.Phys.Chem.Miner.,1992,8:343~358
[9]Liu M,Kerschhofer L,Mosenfelder J L,Rubie D C.The effect ofstrain energy on growth rates during the olivine-spinel transformationand implications for olivine metastability in subducting slab.J.Geophys.Res.,1998,103:23897~23909
[10]Kirkpatrik R J.Towards a kinetic model for the crystallization of amagma body.J.Geophys.Res.,1976,81:2565~2571
[11]Daessler R,Yuen D A.The effects of phase transition kinetics onsubducting slabs.Geophys.Res.Lett.,1993,20:2603~2606
[12]Daessler R,Yuen D A.The metastable olivine wedge in fastsubducting slabs:Constraints from thermo-kinetic coupling.EarthPlanet.Sci.Lett.,1996,137:109~118
[13]Jing Zhi-Cheng,Ning Jie-Yuan,Wang Shu-Guang,Zang Shao-Xian.Phase and thermal structures of the subduction zones.Geophysical Research Letters,2002,29(22):2045,doi:10.1029
[14]Cahn J W.The kinetics of grain boundary nucleated reactions.ActaMetall.,1956,4:449~459
[15]Rubie D C,Ross II C R.Kinetics of the olivine-spinel transformationin subducting lithosphere:experimental constraints and implicationsfor deep slab processes.Phys.Earth Planet.Inter.,1994,86:223~241
[16]Christian J W.The Theory of Transformations in Metals and Alloys.I.Equilibrium and General Kinetic Theory.Pergamon,Oxford,1975,449
[17]Mosenfelder J L,Marton F C,Ross C R,et al.Experimentalconstraints on the depth of olivine metastability in subductinglithosphere.Phys.Earth Planet.Inter.,2001,127:165~180
[18]王曙光,宁杰远,叶国扬等.对橄榄石相变形核率的估算.地球物理学报,2007,50(1):122~125Wang S G,Ning J Y,Ye G Y,et al.Evaluation of the nucleationrate of olivine.Chinese J.Geophys.(in Chinese),2007,50(1):124~127
[2]Kirby S H,Stein S,Okal E A,Rubie D C.Metastable mantle phasetransformations and deep earthquakes in subducting oceaniclithosphere.Rev.Geophys,1996,34:261~306
[3]宁杰远,臧绍先.对俯冲带深震成因的探讨.地震学报,1999,21(5):523~532Ning J Y,Zang S X.On the generation of deep focus earthquakes insubduction zones.Acta Seismologica Sinica,1999,12(5):573~583
[4]宁杰远,臧绍先.俯冲带波速结构的数值模拟.地球物理学报,2001,44(2):190~198Ning J Y,Zang S X.Numerical modeling of wave velocity structureof subduction zones.Chinese J.Geophys.(in Chinese),2001,44(2):187~195
[5]臧绍先,宁杰远.亚稳态橄榄石对俯冲带负浮力的影响及其动力学意义.地球物理学报,2001,44(3):336~345Zang S X,Ning J Y.Effects of metastable Olivine on negativebuoyance in subduction zones and their dynamic siganificance.Chinese J.Geophys.(in Chinese),2001,44(3):330~339
[6]Bina C R,Stein S,Marton F C,Van Ark E M.Implications of slabmineralogy fro subduction dynamics.Phys.Earth Planet.Inter.,2001,127:51~66
[7]Burnley P C.The effect of nonhydrostatic stress on the olivine-spineltransformation in magnesium germinate.[Ph.D.Thesis].Universityof California,Davis,1990.187
[8]Brearley A J,Rubie D C,Ito E.Mechanisms of the transformationsbetween the alpha,beta and gamma polymorphs of Mg2SiO4at 15GPa.Phys.Chem.Miner.,1992,8:343~358
[9]Liu M,Kerschhofer L,Mosenfelder J L,Rubie D C.The effect ofstrain energy on growth rates during the olivine-spinel transformationand implications for olivine metastability in subducting slab.J.Geophys.Res.,1998,103:23897~23909
[10]Kirkpatrik R J.Towards a kinetic model for the crystallization of amagma body.J.Geophys.Res.,1976,81:2565~2571
[11]Daessler R,Yuen D A.The effects of phase transition kinetics onsubducting slabs.Geophys.Res.Lett.,1993,20:2603~2606
[12]Daessler R,Yuen D A.The metastable olivine wedge in fastsubducting slabs:Constraints from thermo-kinetic coupling.EarthPlanet.Sci.Lett.,1996,137:109~118
[13]Jing Zhi-Cheng,Ning Jie-Yuan,Wang Shu-Guang,Zang Shao-Xian.Phase and thermal structures of the subduction zones.Geophysical Research Letters,2002,29(22):2045,doi:10.1029
[14]Cahn J W.The kinetics of grain boundary nucleated reactions.ActaMetall.,1956,4:449~459
[15]Rubie D C,Ross II C R.Kinetics of the olivine-spinel transformationin subducting lithosphere:experimental constraints and implicationsfor deep slab processes.Phys.Earth Planet.Inter.,1994,86:223~241
[16]Christian J W.The Theory of Transformations in Metals and Alloys.I.Equilibrium and General Kinetic Theory.Pergamon,Oxford,1975,449
[17]Mosenfelder J L,Marton F C,Ross C R,et al.Experimentalconstraints on the depth of olivine metastability in subductinglithosphere.Phys.Earth Planet.Inter.,2001,127:165~180
[18]王曙光,宁杰远,叶国扬等.对橄榄石相变形核率的估算.地球物理学报,2007,50(1):122~125Wang S G,Ning J Y,Ye G Y,et al.Evaluation of the nucleationrate of olivine.Chinese J.Geophys.(in Chinese),2007,50(1):124~127
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心