Numerical simulation of seismic wavefields in TTI media using the rotated staggered-grid compact finite-difference scheme

Numerical simulation in transverse isotropic media with tilted symmetry axis (TTI) using the standard staggered-grid finite-difference scheme (SSG) results in errors caused by averaging or interpolation. In order to eliminate the errors, a method of rotated staggered-grid finite-difference scheme (RSG) is proposed. However, the RSG brings serious numerical dispersion. The compact staggered-grid finite-difference scheme (CSG) is an implicit difference scheme, which use fewer grid points to suppress dispersion more effectively than the SSG. This paper combines the CSG with the RSG to derive a rotated staggered-grid compact finite-difference scheme (RSGC). The numerical experiments indicate that the RSGC has weaker numerical dispersion and better accuracy than the RSG.