充液井孔声场的路径积分估值中的极点分布(英文)

The distribution of poles in the contour integral evaluation of the wavefield within a fluid-filled borehole

深入研究了充液井孔中声场积分所涉及到的变极点在 4个主要黎曼面上的分布 .给出了井孔中声场的积分表示 ,在柯西定理的基础上 ,利用复波数平面上不同的路径积分方法来表示井孔中的纵波势函数 ,计算了 4个主要黎曼面的极点位置 .

The complex poles on four major Riemann sheets involved in the integral representation of the wavefield in a fluid\|filled borehole are investigated in detail. An integral representation for the wavefield in a borehole is given, and the total compressional potential function in the borehole is expressed by an alternative approach through applying contour integration in the complex wave number plane based on the Cauchy's theorem. The location of poles on four major Riemann sheets is calculated. The contributions of these poles will be discussed in the next paper.