声波测井中的一种摄动方法

来源期刊：中南大学学报(自然科学版)1998年第5期

论文作者：张碧星 王克协 周保华

文章页码：4 - 7

关键词：声波测井;各向异性;摄动方法;多极源

Key words：acoustic logging; anisotropic; perturbation method; multipole source

摘    要：对于横向各向同性弹性固体介质的对称主轴与井轴垂直的声波测井地层——井孔模型，利用摄动方法在一种特殊情况下进行了严格的推导和分析，给出了具体数学表达式，并通过数值模拟给出了一个例子，其结果与以往工作的理论预测相吻合.

Abstract: Theoretical derivation and analyses of the problem of the acoustic multipole logging have been conducted in the case that the principal symmetric axis of the transversely isotropic elastic solid is perpendicular to the borehole axis with the perturbation method.And the mathematical formulation has been given.The paper also displays an example by the numerical simulation,and the result is consistent to that predicted in the previous work.