Study on the numerical solutions of the eikonal equation in curvilinear coordinate system
文献类型：期刊论文
| 作者 | Liu Yi-Feng1,2,3; Lan Hai-Qiang1,3 |
| 刊名 | CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION
 |
| 出版日期 | 2012-06-01 |
| 卷号 | 55期号:6页码:2014-2026 |
| 关键词 | Eikonal equation Topography Anisotropy Fast marching method Lax-Friedrichs fast sweeping method |
| ISSN号 | 0001-5733 |
| DOI | 10.6038/j.issn.0001-5733.2012.06.023 |
| 文献子类 | Article |
| 英文摘要 | The classical eikonal equation is commonly used in Cartesian coordinate system for problems that involve static correction, prestack migration, earthquake location and seismic tomography, but is less effective for calculating travel times in an earth model that has an irregular surface. We transform the eikonal equation to a curvilinear coordinate system that conforms with the boundaries of the domain. The eikonal equation in the curvilinear coordinate system displays the mathematical form of an anisotropic eikonal equations (even though the medium is isotropic in the Cartesian coordinate system). Then, we try to solve the anisotropic eikonal equations with two numerical methods, a simple modification of the fast marching method and Lax-Friedrichs fast sweeping method, respectively. Through a number of different numerical experiments we find; one may compute wrong solutions by extending fast marching methods designed :for isotropic eikonal equations to anisotropic eikonal equations without taking into account the differences between them; the Lax-Friedrichs fast sweeping method is stable and valid for the eikonal equation in the curvilinear coordinate system, which has a significant meaning in the direction of solution of the eikonal equation in the curvilinear coordinate system. |
| WOS关键词 | HAMILTON-JACOBI EQUATIONS ; FINITE-DIFFERENCE CALCULATION ; WAVE-FIELD SIMULATION ; FAST SWEEPING METHODS ; FAST MARCHING METHOD ; INCLUDING SURFACE-TOPOGRAPHY ; IRREGULAR FREE-SURFACE ; TRAVEL-TIMES ; SOUTHEASTERN CHINA ; VELOCITY STRUCTURE |
| WOS研究方向 | Geochemistry & Geophysics |
| 语种 | 英语 |
| WOS记录号 | WOS:000306159400023 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.iggcas.ac.cn/handle/132A11/84704]  |
| 专题 | 中国科学院地质与地球物理研究所 |
| 通讯作者 | Liu Yi-Feng |
| 作者单位 | 1.Chinese Acad Sci, State Key Lab Lithospher Evolut, Inst Geol & Geophys, Beijing 100029, Peoples R China 2.Beijing Res Ctr CNOOC, Beijing 100027, Peoples R China 3.Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Liu Yi-Feng,Lan Hai-Qiang. Study on the numerical solutions of the eikonal equation in curvilinear coordinate system[J]. CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,2012,55(6):2014-2026. |
| APA | Liu Yi-Feng,&Lan Hai-Qiang.(2012).Study on the numerical solutions of the eikonal equation in curvilinear coordinate system.CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION,55(6),2014-2026. |
| MLA | Liu Yi-Feng,et al."Study on the numerical solutions of the eikonal equation in curvilinear coordinate system".CHINESE JOURNAL OF GEOPHYSICS-CHINESE EDITION 55.6(2012):2014-2026. |
入库方式： OAI收割
来源：地质与地球物理研究所
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