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对一类相变体积分数计算公式的修正
引用本文:王曙光,叶国扬,宁杰远,楼小挺,刘平江.对一类相变体积分数计算公式的修正[J].地球物理学报,2007,50(6):1794-1801.
作者姓名:王曙光  叶国扬  宁杰远  楼小挺  刘平江
作者单位:北京大学地球与空间科学学院地球物理学系,北京 100871
基金项目:国家自然科学基金项目(40774034,40521002),地震科学联合基金项目(105125)资助
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.

关 键 词:相变动力学  俯冲带  流变性  地幔间断面  深源地震  
文章编号:0001-5733(2007)06-1794-08
收稿时间:2006-8-7
修稿时间:2006-08-07

Modification on the volume fraction formulae of a sort of phase transformations
WANG Shu-Guang,YE Guo-Yang,NING Jie-Yuan,LOU Xiao-Ting,LIU Ping-Jiang.Modification on the volume fraction formulae of a sort of phase transformations[J].Chinese Journal of Geophysics,2007,50(6):1794-1801.
Authors:WANG Shu-Guang  YE Guo-Yang  NING Jie-Yuan  LOU Xiao-Ting  LIU Ping-Jiang
Institution:Geophysics Department, School of Earth and Space Science, Peking University, Beijing 100871, China
Abstract: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.
Keywords:Volume fraction  Metastable olivine  Rheology  Subduction zone  Mantle discontinuity  Deep earthquakes
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