Abstract: In this study the fifth-point eighth-order combined compact difference scheme (CCD8) and fifth-point seventh-order upwind combined compact difference scheme (UCCD7) were used in a numerical simulation based on acoustic and elastic wave equations.Based on Taylor series expansion and acoustic wave equation, a fourth-order discrete scheme for the displacement field was established.The CCD8 and UCCD7 were used to calculate the spatial derivative of the displacement field, and the accuracy, dispersion, and stability of the two schemes were analyzed.Finally, using the PML boundary conditions, the two formats were tested on uniform medium, horizontal layered medium, and Marmousi model.The results showed that compared with normal compact difference, CCD8 has smaller truncation error, higher simulation precision, lower numerical dispersion, higher stability, and requires fewer grid points; the introduction of windward mechanism could improve the stability of CCD7.The numerical simulation results verified that the CCD8 scheme and UCCD7 scheme are practical and effective.