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Green's function of the Lord Shulman thermo-poroelasticity theory
Wei, Jia1,5,7; Fu, Li-Yun2,6; Wang, Zhi-Wei1,5,7; Ba, Jing3; Carcione, Jose M.4
2020-06-01
Source PublicationGEOPHYSICAL JOURNAL INTERNATIONAL
ISSN0956-540X
Volume221Issue:3Pages:1765-1776
AbstractThe Lord-Shulman thermoelasticity theory combined with Biot equations of poroelasticity, describes wave dissipation due to fluid and heat flow. This theory avoids an unphysical behaviour of the thermoelastic waves present in the classical theory based on a parabolic heat equation, that is infinite velocity. A plane-wave analysis predicts four propagation modes: the classical P and S waves and two slow waves, namely, the Biot and thermal modes. We obtain the frequency-domain Green's function in homogeneous media as the displacements-temperature solution of the thermo-poroelasticity equations. The numerical examples validate the presence of the wave modes predicted by the plane-wave analysis. The S wave is not affected by heat diffusion, whereas the P wave shows an anelastic behaviour, and the slow modes present a diffusive behaviour depending on the viscosity, frequency and thermoelasticity properties. In heterogeneous media, the P wave undergoes mesoscopic attenuation through energy conversion to the slow modes. The Green's function is useful to study the physics in thermoelastic media and test numerical algorithms.
KeywordHeat flow Seismic attenuation Wave propagation
DOI10.1093/gji/ggaa100
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 ; 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 ; 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 ; 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 ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project
WOS KeywordWAVE-PROPAGATION ; FUNDAMENTAL-SOLUTIONS ; 2ND SOUND ; THERMOELASTICITY ; ATTENUATION ; EQUATION ; VELOCITY ; MEDIA ; MODEL
Language英语
Funding ProjectMajor State Research Development Program of China[2016YFC0601101] ; 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 ; 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 ; 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 ; 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 ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project ; PetroluemChina Project
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000536503700022
PublisherOXFORD UNIV PRESS
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/96660
Collection油气资源研究院重点实验室
Corresponding AuthorFu, Li-Yun
Affiliation1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resource Res, 19 Beitucheng Western Rd, Beijing 100029, Peoples R China
2.Qingdao Natl Lab Marine Sci & Technol, Lab Marine Mineral Resources, Qingdao 266071, Peoples R China
3.Hohai Univ, Sch Earth Sci & Engn, Nanjing 211100, Peoples R China
4.Ist Nazl Oceanog & Geofis Sperimentale OGS, Borgo Grotta Gigante 42c, I-34010 Trieste, Italy
5.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
6.China Univ Petr East China, Key Lab Deep Oil & Gas, 66 Changjiang West Rd, Qingdao 266580, Peoples R China
7.Chinese Acad Sci, Innovat Acad Earth Sci, 19 Beitucheng Western Rd, Beijing 100029, Peoples R China
First Author AffilicationInstitute of Geology and Geophysics, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Wei, Jia,Fu, Li-Yun,Wang, Zhi-Wei,et al. Green's function of the Lord Shulman thermo-poroelasticity theory[J]. GEOPHYSICAL JOURNAL INTERNATIONAL,2020,221(3):1765-1776.
APA Wei, Jia,Fu, Li-Yun,Wang, Zhi-Wei,Ba, Jing,&Carcione, Jose M..(2020).Green's function of the Lord Shulman thermo-poroelasticity theory.GEOPHYSICAL JOURNAL INTERNATIONAL,221(3),1765-1776.
MLA Wei, Jia,et al."Green's function of the Lord Shulman thermo-poroelasticity theory".GEOPHYSICAL JOURNAL INTERNATIONAL 221.3(2020):1765-1776.
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