起伏地表二维声波方程地震波场模拟与分析

 为了模拟和分析起伏地表上的地震波场，本文采用一种坐标映射的方法将起伏地表映射成为水平表面，推导出映射后坐标系下的二维声波方程，然后在映射后坐标系下采用有限差分法对起伏地表地震波场进行数值模拟。计算结果表明该方法能够正确模拟起伏地表上的地震波场。通过对波形、能量、频谱、相位等方面的分析表明：起伏地表对地震波场的动力学特征影响很大。

Simulation and analysis of seismic wavefield on relief surface by 2-D acoustic wave equation

In order to do simulation and analysis of seismic wavefield on relief surface, the paper used a coordinate mapping method to map relief surface onto horizontal surface and deduced 2-D acoustic wave equation on post-mapping coordinate, then, used finite-difference algorithm for numeric simulation of seismic wavefield on relief surface after coordinate mapping. The calculated results showed the method could correctly simulate the seismic wavefield on relief surface. It is shown by analyses in aspects of waveform, energy, spectrum and phase that the relief surface significantly affects the dynamic feature of seismic wavefield.