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On the Green function of the Lord-Shulman thermoelasticity equations
Wang, Zhi-Wei1,2,3; Fu, Li-Yun4; Wei, Jia1,2,3; Hou, Wanting4; Ba, Jing5; Carcione, Jose M.6
2020
Source PublicationGEOPHYSICAL JOURNAL INTERNATIONAL
ISSN0956-540X
Volume220Issue:1Pages:393-403
AbstractThermoelasticity extends the classical elastic theory by coupling the fields of particle displacement and temperature. The classical theory of thermoelasticity, based on a parabolic-type heat-conduction equation, is characteristic of an unphysical behaviour of thermoelastic waves with discontinuities and infinite velocities as a function of frequency. A better physical system of equations incorporates a relaxation term into the heat equation; the equations predict three propagation modes, namely, a fast P wave (E wave), a slow thermal P wave (T wave), and a shear wave (S wave). We formulate a second-order tensor Green's function based on the Fourier transform of the thermodynamic equations. It is the displacement-temperature solution to a point (elastic or heat) source. The snapshots, obtained with the derived second-order tensor Green's function, show that the elastic and thermal P modes are dispersive and lossy, which is confirmed by a plane-wave analysis. These modes have similar characteristics of the fast and slow P waves of poroelasticity. Particularly, the thermal mode is diffusive at low thermal conductivities and becomes wave-like for high thermal conductivities.
KeywordFourier analysis Numerical solutions Seismic attenuation Wave propagation
DOI10.1093/gji/ggz453
Funding OrganizationMajor State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project
WOS KeywordWAVE-PROPAGATION ; 2ND SOUND ; ATTENUATION ; POROELASTICITY
Language英语
Funding ProjectMajor State Research Development Program of China[2016YFC0601101] ; Strategic Priority Research Program of the Chinese Academy of Science[XDA10010403] ; PetroluemChina Project[2016A-4801]
Funding OrganizationMajor State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Major State Research Development Program of China ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; Strategic Priority Research Program of the Chinese Academy of Science ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000506839900028
PublisherOXFORD UNIV PRESS
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/95904
Collection油气资源研究院重点实验室
Corresponding AuthorWang, Zhi-Wei
Affiliation1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resource Res, Beijing 100029, Peoples R China
2.Chinese Acad Sci, Innovat Acad Earth Sci, Beijing 100029, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
4.China Univ Petr East China, Kev Lab Deep Oil & Gas, Qingdao 266580, Peoples R China
5.Hohai Univ, Sch Earth Sci & Engn, Nanjing 211100, Peoples R China
6.Ist Nazl Oceanog & Geofis Sperimentale OGS, Borgo Grotta Gigante 42c, I-34010 Trieste, Italy
First Author AffilicationInstitute of Geology and Geophysics, Chinese Academy of Sciences
Corresponding Author AffilicationInstitute of Geology and Geophysics, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Wang, Zhi-Wei,Fu, Li-Yun,Wei, Jia,et al. On the Green function of the Lord-Shulman thermoelasticity equations[J]. GEOPHYSICAL JOURNAL INTERNATIONAL,2020,220(1):393-403.
APA Wang, Zhi-Wei,Fu, Li-Yun,Wei, Jia,Hou, Wanting,Ba, Jing,&Carcione, Jose M..(2020).On the Green function of the Lord-Shulman thermoelasticity equations.GEOPHYSICAL JOURNAL INTERNATIONAL,220(1),393-403.
MLA Wang, Zhi-Wei,et al."On the Green function of the Lord-Shulman thermoelasticity equations".GEOPHYSICAL JOURNAL INTERNATIONAL 220.1(2020):393-403.
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