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.

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