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弹性固体和充满两种互不相溶粘性流体的多孔固体之间界面的反射和折射及其衰减波

M·库玛 R·塞尼

M·库玛, R·塞尼. 弹性固体和充满两种互不相溶粘性流体的多孔固体之间界面的反射和折射及其衰减波[J]. 应用数学和力学, 2012, 33(6): 754-770. doi: 10.3879/j.issn.1000-0887.2012.06.009
引用本文: M·库玛, R·塞尼. 弹性固体和充满两种互不相溶粘性流体的多孔固体之间界面的反射和折射及其衰减波[J]. 应用数学和力学, 2012, 33(6): 754-770. doi: 10.3879/j.issn.1000-0887.2012.06.009
M.Kumar, R.Saini. Reflection and Refraction of Attenuated Waves at the Boundary of an Elastic Solid With a Porous Solid Saturated With Two Immiscible Viscous Fluids[J]. Applied Mathematics and Mechanics, 2012, 33(6): 754-770. doi: 10.3879/j.issn.1000-0887.2012.06.009
Citation: M.Kumar, R.Saini. Reflection and Refraction of Attenuated Waves at the Boundary of an Elastic Solid With a Porous Solid Saturated With Two Immiscible Viscous Fluids[J]. Applied Mathematics and Mechanics, 2012, 33(6): 754-770. doi: 10.3879/j.issn.1000-0887.2012.06.009

弹性固体和充满两种互不相溶粘性流体的多孔固体之间界面的反射和折射及其衰减波

doi: 10.3879/j.issn.1000-0887.2012.06.009
基金项目: 新德里科学和工业研究中心(CSIR)基金资助项目(09/105(0169)/2008EMR-I; 09/105(0185)/2009-EMR-I)
详细信息
  • 中图分类号: O347.4

Reflection and Refraction of Attenuated Waves at the Boundary of an Elastic Solid With a Porous Solid Saturated With Two Immiscible Viscous Fluids

  • 摘要: 在充满两种互不相溶粘性流体的多孔固体中,研究弹性波的传播.用3个数性的势函数描述3个纵波的传播,用1个矢性的势函数单独描述横波的传播.根据这些势函数,在不同的组合相中,定义出质点的位移.可以看出,可能存在3个纵波和1个横波.在一个弹性固体半空间与一个充满两种互不相溶粘性流体的多孔固体半空间之间,研究其界面上入射纵波和横波所引起的反射和折射现象.由于孔隙流体中有粘性,折射到多孔介质中的波,朝垂直界面方向偏离.将入射波引起的反射波和折射波的波幅比,作为非奇异的线性代数方程组计算.进一步通过这些波幅比,计算出各个被离散波在入射波能量中所占的份额.通过一个特殊的数值模型,计算出波幅比和能量比系数随入射角的变化.超过SV波的临界入射角,反射波P将不再出现.越过界面的能量守恒原理得到了验证.绘出了图形并对不同孔隙饱和度以及频率的变化,讨论它们对能量分配的影响.
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出版历程
  • 收稿日期:  2011-04-20
  • 修回日期:  2012-02-10
  • 刊出日期:  2012-06-15

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