Resonance method under fluid pressure to determine pressure derivatives of elastic constants and its application to the earth's interior

流体压力下共振法测定弹性常数压力导数及其在地球内部的应用

• 批准号: 04640404
• 负责人: OHNO Ichiro
• 金额: $ 1.28万
• 依托单位: Ehime University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1993
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04640404/
• 关键词: Elastic constants; Pressure derivative; Renonance method; Gas pressure; Steel; Sintered material; Earth's interior; 弾性率の圧力変化; 鋼の弾性率; 固体地球物理学

1. Experiments under gas pressure and pressure derivatives of elastic constantsMeasurements of cavity resonance were carried out up to 0.1GPa under helium gas pressure, using a steel sphere as test material, and pressure dependence of several toroidal (TM) and spheroidal modes (SM) were obtained. Pressure gradient of regidity was determined from TM data as dG/dP=1.80 (〕SY.+-.〔) 0.03. Pressure derivative of bulk modulus was determined from SM data as dKs/dP=4.27 (〕SY.+-.〔) 0.27, assuming the specimen-gas coupling is negligible. The determined values are very reasonable for steel, and this approves the validity of the present method of cavity resonance.2. Measurements in water and perspective to higher pressureIt has revealed that not only TM but some SM can be detected in the measurements with the cavity filled with water at 1atm. Since the impedance of water at 1atm corresponds to that helium gas at about 1GPa, this fact gives a promising perspective to higher pressure.3. A New data acquisition systemA new data anquistion system based on Fourier transform (FT) method (Suzuki et al., 1993) was established with a digitizing oscilloscope. It was demonstrated that spectral peaks of almost all modes can be detected with the new system.4. Application to sintered samplesSpherical samples were prepared from polycrystalline pyrope synthesized and sintered at high temperature and high pressure, and elastic constants were determined. It was shown that we can obtain valid values of elastic constants from polycrystalline samples by preparing samples with various porosities and by extrapolating to zero porosity.

1.气压及弹性常数压力导数实验以钢球为试验材料，在氦气压下进行了0.1GPa的空腔共振测量，得到了几种环形模态（TM）和球模态（SM）的压力依赖性。由TM数据确定的刚性压力梯度为dG/dP=1.80(〕SY.+-.〔)0.03。体积模量的压力导数由 SM 数据确定为 dKs/dP=4.27 (〕SY.+-.〔) 0.27，假设样品-气体耦合可以忽略不计。对于钢材而言，测定值非常合理，验证了空腔共振方法的有效性。 2．水中的测量和更高压力的测量结果表明，在空腔充满 1 个大气压的水的测量中，不仅可以检测到 TM，还可以检测到一些 SM。由于水在 1atm 时的阻抗相当于氦气在约 1GPa 时的阻抗，这一事实为更高压力提供了一个有希望的前景。3．一种新的数据采集系统用数字示波器建立了一种基于傅里叶变换（FT）方法（Suzuki et al.，1993）的新型数据采集系统。结果表明，新系统几乎可以检测到所有模式的光谱峰值。 4．烧结样品的应用利用合成的多晶镁铝榴石并在高温高压下烧结制备球形样品，并测定弹性常数。结果表明，通过制备具有不同孔隙率的样品并外推至零孔隙率，我们可以从多晶样品中获得弹性常数的有效值。

项目成果

I.Ohno et al.: "Pressure derivatives of elastic constants of iron by cavity resonance method" Conference Proceedings for the Association for the International Advancement of High Pressure. 43-46 (1993)

I.Ohno 等人：“通过空腔共振法得出铁弹性常数的压力导数”国际高压发展协会会议论文集。

花山 洋一,木村 正樹: "高圧ガス中の超音波の伝幡特性について" 愛媛大学 工学部 紀要. 12. 397-404 (1993)

花山洋一、木村正树：《论超声波在高压气体中的传播特性》爱媛大学工学部通报 12. 397-404 (1993)。

Ohno, I., Y,Hanayama, M.Kimura, I.Suzuki, H.Oda, and M.Kumazawa: "Pressure derivatives of elastic constants of iron by cavity resonance method" Conference Proceedings for the Association for the International Advancement of High Pressure. 43-46 (1993)

Ohno, I., Y,Hanayama, M.Kimura, I.Suzuki, H.Oda, and M.Kumazawa：“通过空腔共振法计算铁的弹性常数的压力导数”国际高能促进会会议论文集

Suzuki, I., M.Kumazawa, Y.Inouye, I.Ohno, H.Oda, K.Sasaki, T.Sugawara, Y.Syono, H.Kumagai, and N.Suda: "Elasticity measuements on the material analogous to iron in the inner core of the earth by FT-ultrasonic spectroscopy" Conference Proceedings for the A

Suzuki, I., M.Kumazawa, Y.Inouye, I.Ohno, H.Oda, K.Sasaki, T.Sugarara, Y.Syono, H.Kumagai, and N.Suda：“材料的弹性测量类似于

I.Suzuki et al.: "Elasticity measurements on the material analogous to iron in the inner core of the earth by FT-ultrasonic spectroscopy" Conference Proceedings for the Association for the International Advancement of High Pressure. 69-72 (1993)

I.Suzuki 等人：“通过 FT 超声波光谱对地球内核中类似铁的材料进行弹性测量”国际高压促进协会会议论文集。