Alternative stable qP wave equations in TTI media with their applications for reverse time migration

作者：Zhou Yang^*; Wang Huazhong; Liu Wenqing

来源：Journal of Geophysics and Engineering, 2015, 12(5): 734-744.

DOI：10.1088/1742-2132/12/5/734

• pseudo-acoustic approximation
• Cartesian coordinates
• numerical stability
• reverse time migration

Numerical instabilities may arise if the spatial variation of symmetry axis is handled improperly when implementing P-wave modeling and reverse time migration in heterogeneous tilted transversely isotropic (TTI) media, especially in the cases where fast changes exist in TTI symmetry axis' directions. Based on the pseudo-acoustic approximation to anisotropic elastic wave equations in Cartesian coordinates, alternative second order qP (quasi-P) wave equations in TTI media are derived in this paper. Compared with conventional stable qP wave equations, the proposed equations written in stress components contain only spatial derivatives of wavefield variables (stress components) and are free from spatial derivatives involving media parameters. These lead to an easy and efficient implementation for stable P-wave modeling and imaging. Numerical experiments demonstrate the stability and computational efficiency of the presented equations in complex TTI media.

• 出版日期2015-10
• 单位同济大学; 中国石油天然气股份有限公司勘探开发研究院