A pseudospectral scheme for SH-wave modeling of irregular free surface
- Jiong Liu (Petroleum Exploration and Production Research Institute, SINOPEC)
- Document ID
- Society of Exploration Geophysicists
- 2016 SEG International Exposition and Annual Meeting, 16-21 October, Dallas, Texas
- Publication Date
- Document Type
- Conference Paper
- 2016. Society of Exploration Geophysicists
- Spectral, Wave propagation, Tomography, Modeling
- 0 in the last 30 days
- 13 since 2007
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This paper uses curved grids in the context of a pseudo-spectral method to model 2-D SH-wave propagation in a medium with an irregular free-surface. A technique originally developed for computational fluid dynamics (CFD) is first used to generate curved grids following the irregular free-surface. Then the SH-wave equations in curved coordinates are derived. Finally, a Fourier-Chebyshev pseudo-spectral method is used to simulate SH-wave propagation in curved coordinates and solutions in Cartesian coordinates are obtained. This numerical scheme is tested against the known solution for Lamb’s problem in a uniform elastic half space with a sloping surface. An excellent agreement is found, which confirms the accuracy of the method present here. In addition, the scheme is applied to the model of topography with discontinuous derivative, and the results are compared with those obtained from the modeling on conventional curved grids by algebraic transform. It shows that the new scheme is more accurate than that on algebraic grids.
Presentation Date: Wednesday, October 19, 2016
Start Time: 3:10:00 PM
Location: Lobby D/C
Presentation Type: POSTER
|File Size||2 MB||Number of Pages||5|
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