声波测井中首波的径向探测深度

The Head Wave Radial Penetration Depth in Sonic Logging.

根据声波测井中首波的共振理论 ,考虑到弹性介质的弱非线性效应 ,由能量守恒原理导出了P波的近似解和径向探测深度。从近似解可以看出 ,在无介质损耗的理想情况下 ,一个有限长的首波波列以恒定的波速沿井轴前进 ,不变形、不衰减 ,能量被束缚于井壁附近。

According to the resonance theory of the head wave propagation in a fluidfilled borehole and the weak nonlinear effect of elastic media, the scalar potential of the P wave and its radial penetration depth are derived form the equations of energy conservation. Under the condition of no media consumption, a limited length of head wave travels along the borehole axis in a stable speed without attenuation and distortion, thereby, the sonic energy is always focused around the borebole. The headwave is a soliton.