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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
For the acoustic logging stratigraphy-wellbore model with the symmetry axis perpendicular to the shaft axis of transversely isotropic elastic solid medium, a rigorous derivation and analysis is made under a special case using the perturbation method, and a specific mathematical expression is given An example is given by numerical simulation and the result is consistent with the theoretical prediction of previous work