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

摘要

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.