Using a Nonlinear Acoustic Wave Equation for Anisotropic Inversion

In this abstract, we present some initial results on a specific nonlinear pseudoacoustic wave equation in anisotropic media, including forward modeling, linearization, and the adjoint method. Our objective is to find a robust and efficient method for anisotropic full-waveform inversion (FWI). The forward modeling equation is solved discretely by the rotated staggered finite difference scheme. The first-order Born modeling operator is obtained by linearizing the forward equation. Following adjoint methods, we derived the adjoint equation and tested it on simple models. Our results demonstrate a possibility for waveform inversion in anisotropic media.