We examine the efficiency and accuracy of implementing an automated linear model interpolation scheme for a 3-D acoustic wide-angle one-way wave extrapolator. Examples are presented for both deterministic and stochastic acoustic velocity models. The specific examples considered are (i) a smoothly varying 3-D high velocity spherical inclusion within a homogeneous reference medium consisting a 20% and 100% velocity perturbation, and (ii) a 2-D anisotropic (i.e., shaped-induced) random medium realization with maximum velocity perturbation of approximately ±10%. The results indicate that for smoothly varying media the automated interpolation scheme is robust even for a small number of model interpolants and large velocity gradients. When the medium varies significantly on the subFresnel zone scale, there exists a trade-off between extrapolated waveform frequency content and number of model interpolants. Specifically, more model interpolants are required to accurately simulate waveform amplitudes and frequency content.
展开▼
