Место издания: Amsterdam , Год издания: 2009

This paper presents Lebedev scheme (LS) for simulation of waves' propagation in arbitrary anisotropic elastic media. This is second order explicit finite-difference scheme on staggered grids and is natural generalization of well known Virieux one used for isotropy. In comparison with wide-spread nowadays Rotated Staggered Grids Scheme (RSGS), LS possesses two main advantages. First of all implementation of the RSGS requires 1.5 times more RAM in comparison with LS. Next, LS allows one to compute the difference with respect to spatial directions separately unlike the RSGS. This opens a possibility to construct the Optimal Grids (OG) for the Lebedev Scheme. OG approach guarantees extremely high accuracy of numerical solution on specific boundary with very rare numerical grid - about three points per wavelength. So, one can efficiently simulate experiments in unbounded domains using simple domain expansion and OG instead of Perfectly Matched Layers which may be unstable in anisotropic media.