各向异性介质地震波场的优化褶积微分算子法数值模拟

Numerical modelling of seismic wave fields in anisotropic media by using an optimal convolutional differentiator

在前人工作基础上,通过对窗函数参数进行优化实现了对基于Shannon奇异核理论的交错网格褶积微分算子的优化过程.应用这种优化褶积微分算子方法对各向异性介质进行了数值模拟,讨论了优化褶积微分算子法模拟的PML吸收边界条件以及稳定性条件,分析了弹性波在此类介质中的传播特征,并与高阶交错网格有限差分方法进行了对比.数值实验结果表明,该方法适用于各向异性介质中弹性波场模拟,精度高,稳定性好,是一种研究复杂介质中地震波传播的有效数值方法.

This paper optimizes the staggered-grid convolutional differentiator based on Shannon singular kernel theory on the window function parameters. We apply this numerical modeling method to anisotropic media modeling; and discuss the PML absorbing boundary and its stability conditions. Meanwhile, the elastic wave propagation characteristics in such media are also analyzed. The results are compared with high-order, staggered-grid finite difference technology. Numerical test shows that this method is suitable for wave field modeling in anisotropic media with high accuracy and robust stability, and proves that it＇s an effective numerical method of wave propagation modeling in complex media.