IGGCAS OpenIR  > 岩石圈演化国家重点实验室
The factored eikonal equation in curvilinear coordinate system and its numerical solution
Zhou XiaoLe1,2; Lan HaiQiang1,2; Chen Ling1,2,3; Guo GaoShan1,2
2020-02-01
Source PublicationCHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
ISSN0001-5733
Volume63Issue:2Pages:638-651
AbstractThe calculation of first-arrival traveltime plays an important role in many areas of seismology such as static correction, seismic tomography, pre-stack migration, earthquake location, etc. Complex surface conditions are important factors affecting the accuracy of traveltime calculation. In recent years, the development of eikonal equation in a curvilinear coordinate system paves a new way for calculating seismic traveltime with an irregular surface. However, the finite-difference-based eikonal solution is inevitably affected by the source singularity. Due to the high curvature of the wavefront around the source, using a plane wave to approximate the wavefront results in a large numerical error, which will propagate from the source to all computational domain. In order to solve this problem, we formulate the factored eikonal equation in the curvilinear coordinate system using factorization. Then, we develop a factored fast sweeping solver to address the source singularity problem for traveltime calculation with an irregular surface. Numerical examples show that the factored sweeping method can treat the source singularity successfully, improve the accuracy and efficiency of the traveltime calculation with an irregular surface significantly. It provides a better choice for the traveltime calculation with an irregular surface, showing a wide potential in the seismic data processing under complex topographical conditions.
KeywordCurvilinear coordinate system Factorization Eikonal equation Source singularity
DOI10.6038/cjg2020N0185
WOS Keyword1ST-ARRIVAL TRAVEL-TIMES ; FAST SWEEPING METHOD ; FINITE-DIFFERENCE COMPUTATION ; WAVE VELOCITY STRUCTURE ; UPPER-MANTLE BENEATH ; FREE-SURFACE ; COMPLEX 2D ; P-WAVE ; TOMOGRAPHY ; MEDIA
Language英语
WOS Research AreaGeochemistry & Geophysics
WOS SubjectGeochemistry & Geophysics
WOS IDWOS:000512885500022
PublisherSCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.iggcas.ac.cn/handle/132A11/95642
Collection岩石圈演化国家重点实验室
Corresponding AuthorLan HaiQiang
Affiliation1.Chinese Acad Sci, Inst Geol & Geophys, State Key Lab Lithospher Evolut, Beijing 100029, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Ctr Excellence Tibetan Plateau Earth Sci, Beijing 100101, Peoples R China
First Author AffilicationState Key Laboratory of Lithospheric Evolution
Corresponding Author AffilicationState Key Laboratory of Lithospheric Evolution
Recommended Citation
GB/T 7714
Zhou XiaoLe,Lan HaiQiang,Chen Ling,et al. The factored eikonal equation in curvilinear coordinate system and its numerical solution[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2020,63(2):638-651.
APA Zhou XiaoLe,Lan HaiQiang,Chen Ling,&Guo GaoShan.(2020).The factored eikonal equation in curvilinear coordinate system and its numerical solution.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,63(2),638-651.
MLA Zhou XiaoLe,et al."The factored eikonal equation in curvilinear coordinate system and its numerical solution".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 63.2(2020):638-651.
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