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伪谱法是一种高效、高精度计算非均匀介质地震波传播的数值方法,但是由于它的微分算子的全局性,使得该方法不适用于分散内存的并行计算.本文将有限差分算子的局部性和伪谱法算子的高效、高精度相结合,发展基于两种方法的伪谱/有限差分混合方法.该方法在一个空间坐标方向上利用交错网格高阶有限差分算子,在另外的空间坐标方向上利用交错网格伪谱法算子,既保留了后者的高效、高精度优势,又便于在PC集群上实现并行计算.对二维模型的计算显示,混合方法能有效处理介质不连续面,在保证伪谱法计算精度的情况下,提供了一种并行计算的可能途径.
Pseudo-spectral method is a numerical method for calculating seismic wave propagation in inhomogeneous media with high efficiency and precision, but due to the globality of its differential operators, it makes the method unsuitable for parallel computing of distributed memory.In this paper, Localization and Pseudospectral operators are combined efficiently and accurately to develop a pseudospectral / finite difference hybrid method based on two methods. This method uses staggered-grid high-order finite difference operator in a space coordinate direction, In addition, the use of staggered-grid pseudospectral operator in the space coordinate direction not only retains the latter’s advantages of high efficiency and precision, but also facilitates the parallel computing on the PC cluster.The calculation of the two-dimensional model shows that the hybrid method is effective Disposing the discontinuities of the media provides a possible way to parallelize the calculations while ensuring the accuracy of pseudospectral calculations.