Wave propagation across the boundary between two dissimilar poroelastic solids
Wave propagation across the boundary between two dissimilar poroelastic solids
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DOI：
10.1016/j.jsv.2008.01.023
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发表时间：
2008-07
影响因子：
4.7
通讯作者：
M. Sharma
中科院分区：
文献类型：
--
作者：
M. Sharma
两种不同的各向同性多孔介质在它们之间的平面界面处焊接接触。解释了不同的边界条件来表示公共边界处的连续性要求。这些都是从物理基础的原则与数学检查的能量守恒。定义了一个新的参数来表示两个固体的表面孔在它们的共同界面处的可能连接程度。导出了一组边界条件来表示多孔-多孔界面处表面孔隙的部分连通。这种部分连接被认为是两个饱和多孔固体之间的不完美结合的基础。在平面界面处，焊接接头中的缺陷表现为切向滑移，从而导致一部分应变能的耗散。三种类型的波在各向同性流体饱和多孔介质中传播。波在界面处的入射导致三个反射波和三个折射波。研究了三种波入射时反射波和折射波入射能量的分配。数值算例计算了饱和煤油砂岩与饱和水灰岩平面界面上反射波和折射波的能量份额。这些能量份额进行了比较，在研究中讨论的不同的边界条件。
Two dissimilar isotropic porous media are in welded contact at a plane interface between them. Different sets of boundary conditions are explained to represent the continuity requirements at the common boundary. These are derived from physically grounded principles with mathematical check on the conservation of energy. A new parameter is defined to represent the possible extent of connections between the surface pores of two solids at their common interface. A set of boundary conditions is derived to represent the partial connection of surface pores at the porous–porous interface. Such a partial connection is considered as a basis for an imperfect bonding between two saturated porous solids. At the plane interface, the imperfection in welded bonding is represented by tangential slipping and, hence, results in the dissipation of a part of strain energy. Three types of waves propagate in an isotropic fluid-saturated porous medium. Incidence of a wave at the interface results in three reflected and three refracted waves. Partition of incident energy among the reflected and refracted waves is studied for incidence of each of the three types of waves. Numerical example calculates the energy shares of reflected and refracted waves at the plane interface between kerosene-saturated sandstone and water-saturated lime-stone. These energy shares are compared for different sets of boundary conditions discussed in the study.