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《Chinese Journal of Geophysics》 2012-10
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Effects due to the anisotropic stretching of the surface-fitting grid on the traveltime computation for irregular surface by the coordinate transforming method

LAN Hai-Qiang1,2,ZHANG Zhi3,XU Tao1,BAI Zhi-Ming1 1 State Key Laboratory of Lithospheric Evolution,Institute of Geology and Geophysics, Chinese Academy of Sciences,Beijing 100029,China 2 Graduate School of Chinese Academy of Sciences,Beijing 100049,China 3 Key Laboratory of Geological Engineering Centre of Guangxi Province,College of Earth Sciences, Guilin University of Technology,Guilin 541004,China  
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 have presented a topography-dependent eikonal equation in a curvilinear coordinate system that makes use of the surface-fitting grid and map a rectangular grid onto a curved grid.Then,we utilized the efficient Lax-Friedrichs sweeping scheme to approximate the viscosity solutions of the eikonal equation in the curvilinear coordinate system.In this paper,we investigate the impacts due to the anisotropic stretching of the surface-fitting grid on the traveltime computation by using the topography-dependent eikonal equation,which has a significant meaning in the direction of our method in geophysical application.
【Fund】: 国家自然科学基金(41274070 41074033 40874041 41021063)资助
【CateGory Index】: P631.4
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