地震波场数值模拟是研究复杂地区地震资料采集处理和解释的有效辅助手段，地震波场数值模拟的主要方法包括两大类，即几何射线法和波动方程法。有限差分法是波动方程法中非常重要的一种方法，它的主要优点是占用内存小，计算速度快。论文采用高阶交错网格差分技术对一阶速度-应力弹性波方程进行数值求解,并对差分方程稳定性条件、频散问题以及边界条件处理进行了讨论。-Numerical simulation of seismic wave is a effective auxiliary means for studying seismic data acquisition, processing and interpretation. The main methods of seismic wave numerical simulation include two major categories, namely, the geometric ray method and the wave equation. Finite difference method, which main advantages are the small memory and computing speed, is one of the very important way for wave equation simulation. Paper uses the high order staggered-grid difference method for numerical calculation of the first order elastic wave equation with velocity and stress. And the stability condition of difference equation, dispersion problems, as well as boundary condition are discussed.