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Effect of local fluid flow on the propagation of plane waves at an interface of water/double-porosity solid with underlying uniform elastic solid

机译:局部流体对水/双孔隙固体与下伏均匀弹性固体界面处平面波传播的影响

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This study deliberates the propagation of acoustic wave at water/double-porosity sediment interface with an underlying uniform elastic solid substrate. A mathematical model is constituted through three layers with distinct elastic properties. This layered structure contains an isotropic double-porosity solid sandwiched between an overlying water and underlying uniform elastic solid. The sandwiched layer is of finite thickness. Two types of boundary conditions (impermeable and permeable) at the interface of double-porosity solid and elastic solid substrate are considered. The closed form analytical expressions for reflection and transmission coefficients are derived theoretically for appropriate boundary conditions. These expressions are calculated as a non-singular system of linear algebraic equations. This non-singular system depends on various material parameters. Therefore, a numerical example is used to determine the effects of various properties of sandwiched layer on reflection and transmission coefficients. Essences of wave frequency, incident direction, layer thickness, pore fluid viscosity, wave-induced fluid flow and sealing of boundary pores on reflection and transmission coefficients are depicted graphically and discussed elaborately. It is revealed that the presence of double-porosity layer has a significant effect on reflection and transmission coefficients.
机译:这项研究研究了声波在水/双孔隙沉积物界面与下伏的均匀弹性固体基质之间的传播。数学模型由具有不同弹性特性的三层构成。该层状结构包含夹在上覆水和下覆均匀弹性固体之间的各向同性双孔隙固体。夹层的厚度是有限的。考虑了双孔固体和弹性固体基质界面的两种边界条件(不可渗透和可渗透)。对于适当的边界条件,理论上导出了反射系数和透射系数的闭合形式的解析表达式。这些表达式作为线性代数方程的非奇异系统进行计算。该非奇异系统取决于各种材料参数。因此,使用一个数值示例来确定夹层的各种特性对反射系数和透射系数的影响。图形化地描述了波频率,入射方向,层厚度,孔隙流体粘度,波致流体流动以及边界孔对反射系数和透射系数的密封的本质,并进行了详细讨论。揭示了双孔隙层的存在对反射和透射系数具有显着影响。

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