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首页> 外文期刊>Transport in Porous Media >Reflection/Refraction of a Dilatational Wave at a Plane Interface Between Uniform Elastic and Swelling Porous Half-Spaces
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Reflection/Refraction of a Dilatational Wave at a Plane Interface Between Uniform Elastic and Swelling Porous Half-Spaces

机译：均匀弹性与膨胀多孔半空间之间平面界面处膨胀波的反射/折射

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摘要

The present work deals with the reflection and refraction phenomena of a plane dilatational wave striking obliquely at a plane interface between a uniform elastic half-space and a swelling porous elastic half-space. The swelling porous half-space consists of solid, liquid (viscous) and gas (inviscid) constituents. Two problems have been considered: (1) when the inhomogeneous dilatational wave is made incident at the interface after propagating through the porous half-space (2) when the homogeneous dilatational wave is made incident at the interface after propagating through the uniform elastic solid half-space. The equations giving the amplitude ratios and the expressions for the partition of incident energy among various reflected/refracted waves have been presented. Numerical computations have been performed for a specific model consisting of sandstone, water (viscous) and carbon dioxide as solid, liquid and gas phases, respectively, of the porous medium and granite stone as a uniform elastic medium. The variations of amplitude ratios and corresponding energy ratios against the angle of incidence and frequency have been illustrated graphically. It has been verified that during reflection/refraction phenomena, the sum of energy ratios is equal to unity at each angle of incidence.
机译：本工作涉及在均匀的弹性半空间和膨胀的多孔弹性半空间之间的平面界面处倾斜地撞击平面膨胀波的反射和折射现象。膨胀的多孔半空间由固体，液体（粘性）和气体（无粘性）组成。已经考虑了两个问题：（1）当通过多孔半空间传播后使非均匀膨胀波入射到界面上；（2）当通过均匀的弹性固体半波传播后使均匀膨胀波入射到界面上-空间。提出了给出振幅比的方程式和各种反射/折射波之间入射能量分配的表达式。已经对由多孔介质和作为均匀弹性介质的花岗岩石分别以固相，液相和气相的砂岩，水（粘性）和二氧化碳组成的特定模型进行了数值计算。振幅比和相应的能量比相对于入射角和频率的变化已通过图形说明。已经证实，在反射/折射现象期间，在每个入射角处的能量比之和等于1。

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