Pure Quasi-P-wave calculation in transversely isotropic media using a hybrid method
Type
ArticleKAUST Department
Earth Science and Engineering ProgramPhysical Science and Engineering (PSE) Division
Seismic Wave Analysis Group
Date
2018-04-14Online Publication Date
2018-04-14Print Publication Date
2018-07-01Permanent link to this record
http://hdl.handle.net/10754/627567
Metadata
Show full item recordAbstract
The acoustic approximation for anisotropic media is widely used in current industry imaging and inversion algorithms mainly because P-waves constitute the majority of the energy recorded in seismic exploration. The resulting acoustic formulas tend to be simpler, resulting in more efficient implementations, and depend on fewer medium parameters. However, conventional solutions of the acoustic wave equation with higher-order derivatives suffer from shear wave artifacts. Thus, we derive a new acoustic wave equation for wave propagation in transversely isotropic (TI) media, which is based on a partially separable approximation of the dispersion relation for TI media and free of shear wave artifacts. Even though our resulting equation is not a partial differential equation, it is still a linear equation. Thus, we propose to implement this equation efficiently by combining the finite difference approximation with spectral evaluation of the space-independent parts. The resulting algorithm provides solutions without the constrain of ε ≥ δ. Numerical tests demonstrate the effectiveness of the approach.Citation
Wu Z, Liu H, Alkhalifah T (2018) Pure Quasi-P-wave calculation in transversely isotropic media using a hybrid method. Geophysical Journal International. Available: http://dx.doi.org/10.1093/gji/ggy151.Sponsors
We thank KAUST for its support and the SWAG group for the collaborative environment. We also thank the associate editor Jean Virieux, Hejun Zhu, and another anonymous reviewer for their fruitful suggestions and comments. The research reported in this publication was supported by funding from King Abdullah University of Science and Technology (KAUST). For computer time, this research used the resources of the Supercomputing Laboratory at King Abdullah University of Science and Technology (KAUST) in Thuwal, Saudi Arabia. We also thank Michael Jervis for proofreading the article and BP for providing the BP TTI benchmark model.Publisher
Oxford University Press (OUP)ae974a485f413a2113503eed53cd6c53
10.1093/gji/ggy151