Modeling of pseudo-acoustic P-waves in orthorhombic media with lowrank approximation

Abstract

Wavefield extrapolation in acoustic orthorhombic anisotropic media suffers from wave-mode coupling and stability limitation in the parameter range. We use exact dispersion relation for acoustic orthorhombic media to model acoustic wavefields. To handle the corresponding space-wavenumber mixed-domain operator, we apply the lowrank approximation approach. Numerical experiments show that the proposed wavefield extrapolator is accurate and practically free of dispersions. Further, there is no coupling of qSv and qP waves, because we use the analytical dispersion relation. No constraints on Thomsen's parameters are required for stability.