【摘要】 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.更多还原

【Abstract】 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.更多还原