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Electromagnetic field generated by acoustic wave scattering at a poroelastic inclusion located in a fluid
International Journal of Engineering Science ( IF 6.6 ) Pub Date : 2022-09-26 , DOI: 10.1016/j.ijengsci.2022.103766
Mikhail Markov , Anatoly Markov , Valery Levin , Federico J. Sabina

The study of elastic wave propagation in poroelastic media is of considerable scientific interest because of some effects that do not appear in monophasic elastic or viscoelastic media. In the case of interconnected pores containing a moving fluid in a poroelastic medium, there exist two types of longitudinal waves. In heterogeneous porous media, the energy of elastic oscillations is redistributed due to mutual transformation of elastic waves of different types at the inclusion boundaries. The filtration flow that appears there results in the case of polar fluids in a displacement of electric double layers at the pore boundaries, and, as a consequence, in generation of an electromagnetic field.

We consider the problem of the scattering of an elastic wave by a spherical poroelastic inclusion in a fluid. The solution was obtained for sufficiently low frequencies so that the dispersion of the elastic wave on individual grains of the porous media may be neglected and the averaged equations of the mechanics of continuous media (at the so-named mesoscale) may be used. In order to describe the elastic wave propagation, we have used the Pride system of electrokinetic equations. For the solution of our problem, we have applied the decomposition of the potentials of acoustic and electromagnetic waves into spherical harmonics. We have obtained the dependencies of the generated electromagnetic field on the inclusion porosity and the fluid properties in pores. The results were obtained for fully open pore interface at the inclusion boundary.



中文翻译:

位于流体中的多孔弹性包裹体处由声波散射产生的电磁场

由于在单相弹性或粘弹性介质中没有出现的一些效应,研究在多孔弹性介质中的弹性波传播具有相当大的科学意义。在多孔弹性介质中包含移动流体的互连孔隙的情况下,存在两种类型的纵波。在非均质多孔介质中,由于不同类型的弹性波在夹杂物边界处的相互转换,弹性振荡的能量被重新分配。在极性流体的情况下,出现在那里的过滤流导致孔边界处的双电层发生位移,并因此产生电磁场。

我们考虑流体中球形多孔弹性夹杂物对弹性波的散射问题。该解是在足够低的频率下获得的,因此可以忽略弹性波在多孔介质的单个颗粒上的分散,并且可以使用连续介质力学的平均方程(在所谓的中尺度)。为了描述弹性波的传播,我们使用了电动方程的 Pride 系统。为了解决我们的问题,我们将声波和电磁波的势分解为球谐函数。我们得到了产生的电磁场对包裹体孔隙度和孔隙中流体性质的依赖关系。结果是在夹杂物边界处完全开放的孔隙界面获得的。

更新日期:2022-09-27
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