针对索末菲尔德路径积分方法和垂直路径积分方法对充液井孔中的声场进行了数值模拟 ,比较了两者利用实轴积分方法计算的结果 .结果表明 :如果计算中不包括相关黎曼面上适当的复极点的贡献 ,垂直路径积分不能精确地给出声波全波列波形 ,纵波垂直路径积分也难以给出精确的纵波首波 ;但是 ,如果计算中考虑了这些极点 ,就能得到相关的正确结果 . Based on the Sommerfeld path integration method and the vertical path integration method, the sound field in the wellbore filled with liquid is numerically simulated and the results calculated by the real axis integration method are compared.The results show that if the calculation does not include the related Riemannian surface On the contribution of the appropriate complex poles, the vertical path integral can not give the full wave form of the acoustic wave accurately, and the vertical wave integral of the longitudinal wave can hardly give the accurate first wave of the longitudinal wave. However, if these poles are considered in the calculation, the correlation The correct result.