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Measurement of pressure change of elastic moduli of materials constituting the earth's interior

地球内部构成材料弹性模量压力变化的测量

基本信息

批准号：
06640547
负责人：
OHNO Ichiro
金额：
$ 1.34万
依托单位：
Ehime University
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
1994
资助国家：
日本
起止时间：
1994 至 1996
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-06640547/
关键词：
Elastic moduli Pressure derivatives of elastic moduli Resonance method FT method Gas pressure Steel 圧力変化高圧力地球内部地球内部物性

项目摘要

A new data acquisition method, FT method, in the resonance method was put into practical use, where impulse input is fed to the sample and the respondent wave form is acquired as digital time series data, and the spectrum is obtained as Fourie transform. It was found the sinx/x-type impulse with suitable pulse width yields desirable spectra.For a spherical sample of steel with the sample-gas-cavity container assembly, the pressure changes of eigenfrequencies were measured up to 100MPa under helium gas pressure. The data of pressure derivative of frequency, *f/*P,were obtained for three toroidal modes, 0T4,1T1 and 0T5, and three spheroidal modes, 1S2,1S3 and 1S4. The *f/*P's of toroidal modes yields immediately the pressure derivative of rigidity, G_0'=2.0 (1).In order to reduce the pressure derivative of bulk modulus K_0' from *f/*P of spheroidal modes, the sample-gas-cavity container system was regarded as a spherical three-layd structure, and the eigenfrequencies were computed as a function of pressure by means of DISPER80 (Saito, 1988), asuuming various values of K_0'. Comparing the computed *f/*P with the measured one, we have K_0'=8-9. This is twice as large as the value K_0'=4-5 which was reduced by neglecting the coupling between the spheroidal modes and the soundings. This result demonstrates that it is necessary to treat the sample assembly as a spherical three-layrd structure in the reduction of K_0'from *f/*P of spheroidal modes. Through the present achievement to reduce K_0', the cavity resonance method has been established as a new method to measure pressure derivatives of elastic moduli of isotropic solids.Elastic properties of rare gases and WC alloys, the pressure medium and the material of the cavity container, were measure under pressure and used in the present analysis of spheroidal modes.

将谐振法中的一种新的数据采集方法FT法应用于实际，该方法将脉冲输入到采样中，以数字时间序列数据的形式获取应答波形，并以傅里变换的形式获得频谱。结果表明，适当脉宽的sinx/x型脉冲能产生理想的光谱。在氦气压力下，测量了带有样品-气腔容器组件的球形钢试样在100MPa下的特征频率压力变化。得到了0T4、1T1、0T5三种环面模态和1S2、1S3、1S4三种球面模态的压力频率导数*f/*P数据。环面模态的*f/*P‘立即得到刚度的压力导数，G_0’=2.0(1)。为了减小体积模量K_0′从球面模态的*f/*P的压力导数，将样品-气腔容器系统视为球面三层结构，并采用色散80 (Saito, 1988)，假设不同的K_0′值，计算特征频率作为压力的函数。将计算的*f/*P与测量值进行比较，我们得到K_0'=8-9。这是忽略球面模态与探测之间的耦合而减小的值K_0′=4-5的两倍。这一结果表明，在从球面模态的*f/*P中还原k_0 '时，有必要将样品组件视为球面三层结构。通过现有的减小K_0′的成果，建立了空腔共振法作为测量各向同性固体弹性模量压力导数的新方法。本文测量了稀有气体、WC合金、压力介质和空腔容器材料在压力下的弹性性能，并将其应用于球模态分析。