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Abstract The algorithm of the finite difference oforder velocitystress staggered grids has been built, which is
suitable for the perfectly matched layer (PML) absorbing boundary for elastic media. Meanwhile, the construction of the
PML absorbing boundary condition and the realization of the finitedifference algorithm are discussed in detail. Wave
field modeling calculations show that, compared with the conventional decaying exponential absorbing boundary and non
absorbing boundary, the PML absorbing boundary can perform absorption much more clearly and absorb the boundary
reflection from various angles, whose absorptivity (the ratio of absorption energy to unabsorbable energy) can reach
99.99%. The PML absorbing boundary can well eliminate the periodic folding effects, which makes the calculation of the
wave field characteristics very distinct, and the Rayleigh wave can be clearly shown in the waveform record.
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