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首页> 外文期刊>International Journal of Solids and Structures >Nonaxisymmetric interaction of a spherical radiator in a fluid-filled permeable borehole
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Nonaxisymmetric interaction of a spherical radiator in a fluid-filled permeable borehole

机译：充满流体的可渗透井眼​​中球形辐射器的非轴对称相互作用

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The Biot theory of poroelasticity along with the proper cylindrical/spherical wave-field transformations are used to investigate general (nonaxisymmetric) harmonic radiation from a spherical surface vibrating at the center of a fluid-filled circular cylindrical cavity embedded within a fluid-saturated porous elastic formation. This configuration, which is a realistic idealization of an acoustic logging tool suspended in a fluid-filled borehole, is of practical importance with a multitude of possible applications in seismic engineering and geophysics. The analytical results are illustrated with numerical examples in which the spherical source suspended at the center of a water-filled borehole embedded within water-saturated soils of distinct frame properties (i.e., soft or stiff soils), is excited in vibrational modes of various orders. The basic acoustic and elastic field quantities such as the resistive/reactive components of the modal acoustic radiation impedance load as well as the radial displacement and stress components induced within the surrounding formation for a pulsating (n = 0), an oscillating (n = 1), and a quadrupole-like (n = 2) spherical source are evaluated and discussed for representative values of the parameters characterizing the system. Special attention is paid to the effects of source excitation frequency, size, surface velocity profile, and internal impedance as well as soil type on the modal impedance values and the displacement/stress amplitudes. Limiting cases are considered and fair agreements with well-known solutions are obtained. (C) 2007 Elsevier Ltd. All rights reserved.
机译：毕奥（Biot）的多孔弹性理论以及适当的圆柱/球形波场变换被用于研究来自球形表面的一般（非轴对称）谐波辐射，该球形表面在嵌入流体饱和的多孔弹性体中的充满流体的圆柱腔的中心振动编队。这种配置是悬浮在充满流体的井眼中的声波测井仪的理想选择，在地震工程和地球物理学中具有许多可能的应用，具有实际意义。通过数值示例说明了分析结果，其中以各种阶次的振动模式激发了球形源，该球形源悬挂在埋藏在框架特性不同的水饱和土壤（即，软土或硬土）中的注水钻孔中心， 。基本的声场和弹性场量，例如模态声辐射阻抗负载的电阻/电抗分量，以及在周围地层中对于脉动（n = 0），振荡（n = 1）引起的径向位移和应力分量），并评估并讨论了四极型（n = 2）球形源，以表征表征系统的参数。要特别注意源激发频率，尺寸，表面速度分布，内部阻抗以及土壤类型对模态阻抗值和位移/应力振幅的影响。考虑极限情况，并获得与知名解决方案的公平协议。 （C）2007 Elsevier Ltd.保留所有权利。

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