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提出了一种基于Kirchhoff积分的快速地震波场数值模拟算法。在地下弹性介质的速度、反射界面的空间位置及反射率均已知的情况下,可以利用该算法计算三维非均匀弹性介质模型中的反射地震波场。讨论了算法的计算效率和计算精度。针对基于Kirchhoff积分的三维地震波场模拟计算量巨大这一问题,采用了两种尺度网格单元和限制积分区域等手段,不仅降低了计算量,节省了内存,同时还保持了足够的计算精度。利用数值模拟对算法的有效性进行了验证。
A fast seismic wavefield numerical simulation algorithm based on Kirchhoff integral is proposed. The algorithm can be used to calculate the reflected seismic wavefields in a three-dimensional inhomogeneous elastic medium model given that velocities of the subsurface elastic media, the spatial position of the reflective interface, and the reflectivity are all known. The computational efficiency and accuracy of the algorithm are discussed. Considering the huge amount of computational complexity of three-dimensional seismic wavefields based on Kirchhoff integrals, two kinds of scale grid elements and limited integration area are adopted, which not only reduce the computational complexity, save the memory, but also keep enough computational accuracy. The validity of the algorithm is verified by numerical simulation.