Modeling 3-D scalar waves using the Fourier finite-difference method
傅里叶有限差分法三维波动方程正演模拟

Fourier finite-difference(FFD) operator has both of the advantages of Fourier and finite-difference methods,it can handle the wave propagations in complex media with large velocity contrasts and wide propagation angles.In 3-D case,however,two-way splitting may cause artificial azimuthal anisotropy.In this paper,we handle the remnants of the conventional two-way splitting technique by Fourier transforms,and the azimuthal anisotropy is removed.Based on the dual-domain scheme of the FFD method,the proposed algorithm significantly reduces computational cost caused by error correction.Compared with the finite-difference method by the zero-offset records and shot profiles based on 3-D modified French model,the proposed method can properly model the primary reflected waves and is much more attractive in both computational cost and storage demand.