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Third-Order Pade Thermoelastic Constants of Solid Rocks

文献类型：期刊论文

作者Yang, Jian1,2; Fu, Li-Yun2,4; Fu, Bo-Ye3; Deng, Wubing2,4; Han, Tongcheng2,4
刊名JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
出版日期2022-09-01
卷号127期号:9页码:30
ISSN号2169-9313
DOI10.1029/2022JB024517
英文摘要Classical third-order thermoelastic constants are generally derived from the theory of small-amplitude acoustic waves in isotropic materials during heat treatments. Investigating higher-order thermoelastic constants for higher temperatures is challenging owing to the involvement of the number of unknown parameters. These Taylor-type thermoelastic constants from the classical thermoelasticity theory are formulated based on the Taylor series of the Helmholtz free energy density for preheated crystals. However, these Taylor-type thermoelastic models are limited even at low temperatures in characterizing the temperature-dependent velocities of elastic waves in solid rocks as a polycrystal compound of different mineral lithologies. Thus, we propose using the Pade rational function to the total thermal strain energy function. The resulting Pade thermoelastic model gives a reasonable theoretical prediction for acoustic velocities of solid rocks at a higher temperature. We formulate the relationship between the third-order Pade thermoelastic constants and the corresponding higher-order Taylor thermoelastic constants with the same accuracy. Two additional Pade coefficients alpha 1 ${\mathit{\alpha }}_{1}$ and alpha 2 ${\mathit{\alpha }}_{2}$ can be calculated using the second-, third-, and fourth-order Taylor thermoelastic constants associated with the Brugger's constants, which are consistent with those obtained by fitting the experimental data of polycrystalline material. The third-order Pade thermoelastic model (with four constants) is validated by the fourth-order Taylor thermoelastic prediction (with six constants) with ultrasonic measurements for polycrystals (olivine samples) and solid rocks (sandstone, granite, and shale). The results demonstrate that the third-order Pade thermoelastic model can characterize thermally induced velocity changes more accurately than the conventional third-order Taylor thermoelastic prediction (with four constants), especially for solid rocks at high temperatures. The Pade approximation could be considered a more accurate and universal model in describing thermally induced velocity changes for polycrystals and solid rocks.
WOS关键词2ND-ORDER ELASTIC-CONSTANTS ; TEMPERATURE-DEPENDENCE ; THERMAL-DAMAGE ; MECHANICAL-PROPERTIES ; WESTERLY GRANITE ; WAVE VELOCITIES ; PRESSURE ; CRACKING ; QUARTZ ; MODULI
资助项目National Natural Science Foundation of China[41821002] ; Strategic Priority Research Program of the Chinese Academy of Sciences[XDA14010303] ; 111 Project "Deep-Superdeep Oil & Gas Geophysical Exploration"[B18055]
WOS研究方向Geochemistry & Geophysics
语种英语
WOS记录号WOS:000856037700001
出版者AMER GEOPHYSICAL UNION
资助机构National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; 111 Project "Deep-Superdeep Oil & Gas Geophysical Exploration" ; 111 Project "Deep-Superdeep Oil & Gas Geophysical Exploration" ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; 111 Project "Deep-Superdeep Oil & Gas Geophysical Exploration" ; 111 Project "Deep-Superdeep Oil & Gas Geophysical Exploration" ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; 111 Project "Deep-Superdeep Oil & Gas Geophysical Exploration" ; 111 Project "Deep-Superdeep Oil & Gas Geophysical Exploration" ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Strategic Priority Research Program of the Chinese Academy of Sciences ; Strategic Priority Research Program of the Chinese Academy of Sciences ; 111 Project "Deep-Superdeep Oil & Gas Geophysical Exploration" ; 111 Project "Deep-Superdeep Oil & Gas Geophysical Exploration"
源URL[http://ir.iggcas.ac.cn/handle/132A11/108367]  
专题地质与地球物理研究所_中国科学院地球与行星物理重点实验室
通讯作者Fu, Li-Yun
作者单位1.China Univ Petr East China, Sch Geosci, Qingdao, Peoples R China
2.China Univ Petr East China, Shandong Prov Key Lab Deep Oil & Gas, Qingdao, Peoples R China
3.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing, Peoples R China
4.Qingdao Natl Lab Marine Sci & Technol, Lab Marine Mineral Resources, Qingdao, Peoples R China
推荐引用方式
GB/T 7714		 Yang, Jian,Fu, Li-Yun,Fu, Bo-Ye,et al. Third-Order Pade Thermoelastic Constants of Solid Rocks[J]. JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH,2022,127(9):30.
APA Yang, Jian,Fu, Li-Yun,Fu, Bo-Ye,Deng, Wubing,&Han, Tongcheng.(2022).Third-Order Pade Thermoelastic Constants of Solid Rocks.JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH,127(9),30.
MLA Yang, Jian,et al."Third-Order Pade Thermoelastic Constants of Solid Rocks".JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH 127.9(2022):30.

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来源：地质与地球物理研究所

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