摘要
根据变速介质中地震波传播所满足的变系数波动方程,推导出波速线性变化介质中一维波动方程的解析解,讨论了波速不均匀性对地震波传播的影响:地震波振幅衰减大小与介质速度梯度有关;频率转折点两侧地震波传播性质;频率与地震波波速关系。
Based on the elastic wave equation with the change of coefficient in a velocity inhomogeneous medium, we derive the analytical solution of one dimensional elastic wave equation when the velocity changes linearly. The influences of velocity inhomogeneity on the propagation of seismic waves are also discussed.
关键词
地震波传播
波速
线性变化介质
波动方程
seismic wave propagation
medium with linear change of velocity
wave equation