摘要
In order to model the seismic wave field with surface topography, we present a method of transforming curved grids into rectangular grids in two different coordinate systems. Then the 3D wave equation in the transformed coordinate system is derived. The wave field is modeled using the finite-difference method in the transformed coordinate system. The model calculation shows that this method is able to model the seismic wave field with fluctuating surface topography and achieve good results. Finally, the energy curves of the direct and reflected waves are analyzed to show that surface topography has a great influence on the seismic wave's dynamic properties.
以便与表面地形学为震波地建模,我们在场转变的一个方法在二个不同坐标系统弄弯格子进矩形的格子。然后,在转变坐标系统的 3D 波浪方程被导出。波浪地在转变坐标系统用有限差别的方法被建模。模型计算证明这个方法能与波动的表面地形学为震波地建模并且完成好结果。最后,直接、反映的波浪的精力曲线被分析证明表面地形学在震波的动态性质上有大影响。
基金
This research is sponsored by the Scientific Research Project of the China Geological Survey "Basic Theory, Special Collection and Special Process Method Research on Metal Mineral Seismic Exploration" (Project Number: 2000201 0002146).