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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 forward modeling is one of the core issues in inverse time migration and full waveform inversion since both require the efficient and accurate simulation of forward and reverse wavefield propagation. In order to improve the accuracy of numerical simulation, the high-order finite difference method is widely used, but most of the methods only have higher accuracy in space and only second-order accuracy in time. Firstly, the basic principle of the high-precision staggered-grid finite difference method in time-space domain is systematically introduced. Then the validity of the proposed method is verified by the model. The results show that the finite difference method with staggered-grid high precision in space-time domain possesses a lower probability than the staggered-grid finite difference method The value of dispersion.