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为了模拟起伏地表的地震波场,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三维声波方程,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。通过对能量曲线的分析表明,起伏地表对地震波的动力学特征影响很大。
In order to simulate the seismic wave field of undulating surface, a coordinate mapping method is used to map the undulating surface into a horizontal surface. The three-dimensional acoustic equation in the post-mapping coordinate system is derived. Then the finite difference method Seismic wave field numerical simulation. The calculation results show that this method can correctly simulate the seismic wave field on undulating surface. The analysis of the energy curve shows that the fluctuating surface has a great influence on the seismic characteristics of seismic waves.