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Green's function for three-dimensional elastic wave equation with a moving point source on the free surface with applications
Chen, Jing-Bo1,2,3; Cao, Jian1,2,3
2020-01-15
Source PublicationGEOPHYSICAL PROSPECTING
ISSN0016-8025
Pages10
AbstractHigh-speed train seismology has come into being recently. This new kind of seismology uses a high-speed train as a repeatable moving seismic source. Therefore, Green's function for a moving source is needed to make theoretical studies of the high-speed train seismology. Green's function for three-dimensional elastic wave equation with a moving point source on the free surface is derived. It involves a line integral of the Green's function for a fixed point source with different positions and corresponding time delays. We give a rigorous mathematical proof of this Green's function. According to the principle of linear superposition, we have also obtained the Green's function for a group of moving sources which can be regarded as a model of a traveling high-speed train. Based on a temporal convolution, an analytical formula for other moving sources is also given. In terms of a moving Gaussian source, we deal with the issue of numerical calculations of the analytical formula. Applications to modelling of a traveling high-speed train are presented. We have considered both the land case and the bridge case for a traveling high-speed train. The theoretical seismograms show different waveform features for these two cases.
KeywordElastodynamic Green's function Green's function computation Modelling
DOI10.1111/1365-2478.12928
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China
WOS KeywordPROPAGATION
Language英语
Funding ProjectNational Natural Science Foundation of China[41874163] ; National Natural Science Foundation of China[41674132] ; National Major Project of China[2018YFF01013503]
Funding OrganizationNational Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; National Major Project of China ; National Major Project of China ; National Major Project of China ; National Major Project of China
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000507131700001
PublisherWILEY
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/95923
Collection油气资源研究院重点实验室
Corresponding AuthorChen, Jing-Bo
Affiliation1.Chinese Acad Sci, Inst Geol & Geophys, Key Lab Petr Resources Res, Beijing 100029, Peoples R China
2.Chinese Acad Sci, Inst Earth Sci, Beijing 100029, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
First Author AffilicationKey Laboratory of Petroleum Resource Research, Chinese Academy of Sciences;  Institute of Geology and Geophysics, Chinese Academy of Sciences
Corresponding Author AffilicationKey Laboratory of Petroleum Resource Research, Chinese Academy of Sciences;  Institute of Geology and Geophysics, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Chen, Jing-Bo,Cao, Jian. Green's function for three-dimensional elastic wave equation with a moving point source on the free surface with applications[J]. GEOPHYSICAL PROSPECTING,2020:10.
APA Chen, Jing-Bo,&Cao, Jian.(2020).Green's function for three-dimensional elastic wave equation with a moving point source on the free surface with applications.GEOPHYSICAL PROSPECTING,10.
MLA Chen, Jing-Bo,et al."Green's function for three-dimensional elastic wave equation with a moving point source on the free surface with applications".GEOPHYSICAL PROSPECTING (2020):10.
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