弹性地层充流体井中的纵波和横波

Compressional and Shear Waves in a Fluid—filled Borehole in a Elastic Formation

针对目前人们对声波全波列测井中的纵波和横波存在的两种看法(一种认为是共振波,另一种认为是衰减波),分别用支割线积分和留数定理计算纵波和横波的频串响应曲线,得到相同的共振频率,认为由留数定理计算得到的共振纵波和横波对应于测井中的滑行纵波和横波,由支割线积分得到的衰减纵波和横波包括共振波,其衰减部分是由泄漏模式波引起的,这一结果对利用纵波和横波的能量具有指导意义。

At present, there are two viewpoints about compressional and snear waves in i(?)-wave acous(?) logging: one resonant, the other decaying reflected. This is disadvantageous in use of acoustic full wave log data. The frequency responses of compressional and shear waves are calculated here by branch-cut integration and residue theorem solution, respectively, and the same resonant frequency is gained. The resonant compressional and shear waves obtained by residue theorem solution are corresponding to the slipping ones in logging. The decaying reflected waves include the resonant ones, and their damping part is caused by lack mode waves. They are obtained by analysing those response curves. These results are of signifcance in use of compressional shear wave's energe in acoustic full waveform.