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声波测井时裸眼井中弹性波的传播
引用本文:杨楚良,余寿绵.声波测井时裸眼井中弹性波的传播[J].地球物理学报,1980,23(4):427-437.
作者姓名:杨楚良  余寿绵
作者单位:山东大学
摘    要:本文分析了简化模型下声波测井时裸眼井(内充流体一般是泥浆)中弹性波的传播,此波场可看成是轴向传播有不同波矢的分波的叠加。分析表明,对于井外只有单一均匀岩层且无限深的井,仅对如(18)式所示的特征频率成分才存在具有轴向传播最大相速度vzm=c2的所谓“首波”;而vx > c2及c2 > vz>b2的分波却不存在,此处c2和b2分别是井外岩层的纵波和横波速度。这正解释了文献3]中所报道的裸眼井的“过滤效应”。分析还表明,对于井外具有多层岩层的井,只在一定条件下才存在与上述特性相近的“首波”。本文结果对声速测井显然是重要的。

关 键 词:裸眼井  首波  声波测井  声源  弹性波  讯号  分波  相速度  测井装置  声速测井  
收稿时间:1979-06-05

PROPAGATION OF ELASTIC WAVE IN A CYLINDRICAL BORE HOLE CONTAINING A FLUID FOR ACOUSTIC LOGGING
YANG CHU-LIANG,Yü SHOU-MIAN.PROPAGATION OF ELASTIC WAVE IN A CYLINDRICAL BORE HOLE CONTAINING A FLUID FOR ACOUSTIC LOGGING[J].Chinese Journal of Geophysics,1980,23(4):427-437.
Authors:YANG CHU-LIANG  Yü SHOU-MIAN
Institution:Shandong University
Abstract:The propagation of elastic wave in a cylindrical bore hole containing a fluid (for example, the muddy fluid is generally used) for acoustic logging is analyzed with a simplified model. Such a wave field may be looked upon as the superposition of partial waves which are classified according to different wave vectors along the axis of the hole. It is shown that, for the infinitely deep bore hole with single uniform rock layer outside it, the so-called "head wave" with maximum phase velocity vzm=c2 exists only for characteristic frequencies as shown in formula (18), and partial waves with phase velocity vz > cz and cz > vz > bz are forbidden. Here, c2 and b2 are the longitudinal and transversal wave velocity in the rock layer outside the hole respectively. This result may be used to explain the so-called "filtering effect" of the hole as re-ported in Ref. (3). It is also shown that, for the hole with more than one rock layer outside it, a "head wave" which has similar properties described above is present only under certain conditions.
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