Polarisations of quasi-waves in a general anisotropic porous solid saturated with viscous fluid
Polarisations of quasi-waves in a general anisotropic porous solid saturated with viscous fluid
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饱和粘性流体的一般各向异性多孔固体中准波的偏振
DOI：
10.1007/bf02702141
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发表时间：
2005
影响因子：
1.9
通讯作者：
M. Sharma
中科院分区：
文献类型：
--
作者：
M. Sharma
本文研究了波在各向异性多孔弹性体中的传播问题。本文应用扩展的毕奥理论导出了平面谐波在这种介质中传播的修正的Christoffel方程组。这个系统的非平凡的解决方案是由一个双二次方程，其根代表四个衰减准波在介质中的复速度。这些复速度定义了在三维空间中沿沿着给定相方向传播的每个准波的相速度和衰减。解本身定义了准波的偏振态沿着和相移。计算了一个实际数值模型中准波偏振随相位方向的变化。
Wave propagation is studied in a general anisotropic poroelastic solid saturated with a viscous fluid flowing through its pores of anisotropic permeability. The extended version of Biot’s theory is used to derive a system of modified Christoffel equations for the propagation of plane harmonic waves in such media. The non-trivial solution of this system is ensured by a biquadratic equation whose roots represent the complex velocities of four attenuating quasi-waves in the medium. These complex velocities define phase velocity and attenuation of each quasi-wave propagating along a given phase direction in three-dimensional space. The solution itself defines the polarisations of the quasi-waves along with phase shift. The variations of polarisations of quasi-waves with their phase direction, are computed for a realistic numerical model.