Abstract
To imaging the subsurface structure directly from the earth's surface with arbitrary relief, we present a finite difference (FD) scheme that uses nonuniform grid spacing in the region near the curved surface and that adapts the fast marching method (FMM) for treating the grid irregularity caused by the surface relief. Specifically, for adapting FMM we introduce new point types, namely the surface point, the point above the surface, the interface point, and the point under the interface. For adapting the upwind FD formula used in the original FMM, the grid spacing in the conventionally used rectangular grid is replaced by the vertical distance between the surface point and the grid point under consideration. Numerical results show that the scheme presented here can treat the irregular region problem caused by the curved earth's surface with effectiveness and flexibility.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
