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首页> 外文期刊>Acoustical physics >Attenuation of a Stoneley wave and higher Lamb modes due to the scattering by two-dimensional irregularities of the walls of a fluid-filled borehole
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Attenuation of a Stoneley wave and higher Lamb modes due to the scattering by two-dimensional irregularities of the walls of a fluid-filled borehole

机译：由于充满流体的井壁的二维不规则性所引起的散射，斯通利波和更高的兰姆模的衰减

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摘要

Attenuation of Stoneley waves and higher Lamb modes propagating along an irregular surface of a fluid-filled borehole is investigated. This problem generalizes the problem on the attenuation of Rayleigh waves by an irregular surface of an empty borehole [10]. The technique used to evaluate the attenuation coefficient is based on the perturbation method (surface irregularity heights are considered to be small in comparison with the wavelength) and the mean field method. As a result, an expression is obtained for the partial coefficients of the eigenmode attenuation due to the scattering of eigenmodes by the irregularities of the borehole walls into the same or other eigenmodes, as well as into the bulk longitudinal and transverse waves. The frequency-dependent behavior of the partial attenuation coefficients of both Stoneley waves and higher modes is analyzed against the ratio between the irregularity correlation length and the borehole radius for different correlation functions of irregularities.
机译：研究了沿充满流体的井眼的不规则表面传播的斯通利波和高兰姆模的衰减。这个问题概括了空井眼的不规则表面对瑞利波的衰减问题[10]。用于评估衰减系数的技术基于微扰方法（与波长相比，表面不规则高度被认为较小）和平均场方法。结果，对于由于井壁的不规则性而导致的本征模的散射而导致的本征模衰减的部分系数的表达式，可以得到相同或其他本征模以及整体纵波和横波。针对不规则性的不同相关函数，针对不规则性相关长度与井眼半径之间的比率，分析了斯通利波和更高模式的部分衰减系数的频率相关行为。

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