用于声波正演模拟的时空域高精度交错网格有限差分方法

Staggered-grid Finite-difference Method with High-order Accuracy in Time-space Domains for Acoustic Forward Modeling

地震正演模拟是逆时偏移和全波形反演中的核心问题之一,因为它们都需要高效、高精度地模拟波场正向和反向传播。为了提高数值模拟的精度,人们广泛采用高阶有限差分方法,但是大多数方法仅在空间上具有更高的精度,在时间上只有二阶精度。首先系统介绍时空域高精度交错网格有限差分方法的基本原理,然后利用模型验证方法的有效性,结果表明:时空域高精度交错网格有限差分方法拥有比常规交错网格有限差分方法更低的数值频散。

Seismic modeling is one of the key problems in reverse time migration and full waveform inversion, because both of them require efficient and accurate simulation of forward and backward wave propagation. In order to improve the accuracy of numerical simulation, the high order finite difference method is widely used, but most of the methods have high-order accuracy in space while only second-order accuracy in time. In this paper, we first introduced basic principle of the finite difference method with high-order accuracy not only in space, but also in time. Then the model is utilized to verify the effectiveness of the method. The results show that the finite difference methods with high-order accuracy in time-space domains have lower dispersion than the conventional staggered-grid finite difference method.