Institutional Repository of Key Laboratory of Earth and Planetary Physics, Chinese Academy of Sciences
| Third-Order Pade Thermoelastic Constants of Solid Rocks | |
| Yang, Jian1,2; Fu, Li-Yun1,3; Fu, Bo-Ye4; Deng, Wubing1,3; Han, Tongcheng1,3 | |
| 2022-09-01 | |
| Source Publication | JOURNAL OF GEOPHYSICAL RESEARCH-SOLID EARTH
 |
| ISSN | 2169-9313 |
| Volume | 127Issue:9Pages:30 |
| Abstract | 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. |
| DOI | 10.1029/2022JB024517 |
| Funding Organization | 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" |
| WOS Keyword | 2ND-ORDER ELASTIC-CONSTANTS ; TEMPERATURE-DEPENDENCE ; THERMAL-DAMAGE ; MECHANICAL-PROPERTIES ; WESTERLY GRANITE ; WAVE VELOCITIES ; PRESSURE ; CRACKING ; QUARTZ ; MODULI |
| Language | 英语 |
| Funding Project | 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] |
| Funding Organization | 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" |
| WOS Research Area | Geochemistry & Geophysics |
| WOS Subject | Geochemistry & Geophysics |
| WOS ID | WOS:000856037700001 |
| Publisher | AMER GEOPHYSICAL UNION |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.iggcas.ac.cn/handle/132A11/108367 |
| Collection | 地球与行星物理院重点实验室 |
| Corresponding Author | Fu, Li-Yun |
| Affiliation | 1.China Univ Petr East China, Shandong Prov Key Lab Deep Oil & Gas, Qingdao, Peoples R China 2.China Univ Petr East China, Sch Geosci, Qingdao, Peoples R China 3.Qingdao Natl Lab Marine Sci & Technol, Lab Marine Mineral Resources, Qingdao, Peoples R China 4.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Earth & Planetary Phys, Beijing, Peoples R China |
| Recommended Citation 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. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment