地震波数值模拟的褶积微分算子法与伪谱法的对比分析

Comparison of Convolutional Differentiator Method and the Pseudo-spectral Method Used in Seismic Wave Simulation

将基于Forsyte广义正交多项式的褶积微分算子法运用于复杂非均匀介质地震波场模拟中,并将计算结果与伪谱法计算结果进行分析比较。通过二者的计算时间对比发现:在同样的计算条件下,褶积微分算子法的采样时间始终小于伪谱法,这是其进行地震波数值模拟的一个明显优势。通过波场快照的对比,褶积微分算子法的模拟结果与伪谱法数值模拟结果的频散效应相当,可为地震波场的值计算提供一种新的选择。

This study employed the convolutional differentiator seismic simulation method constructed using Forsyte polynomials to simulate the seismic wave propagation in a complex heterogeneous media and compared the simulation results to those obtained from the pseudo-spectral method.By comparing the computational time of the pseudo-spectral and convolutional differentiator methods,it was found that the computing time of the convolutional differentiator method is always less than that of pseudo-spectral method when the same computing environment is employed.Consequently,the convolutional differentiator seismic simulation method has an advantage in this regard.By comparing the snapshots obtained using the above mentioned methods,it was found that the dispersion of the snapshots by the convolutional differentiator is similar to that obtained by the pseudo-spectral method,which constituted another advantage for the convolutional differentiator method for seismic wave numerical simulation.Overall,the convolutional differentiator method is a viable alternative for seismic wave propagation simulation.