饱水孔隙介质的质量耦合波动问题

Wave Propagation with Mass-Coupling Effect in Fluid-Saturated Porous Media

摘要: 本文按照混合物理论严格地推导出了饱和孔隙介质的一般波传播理论.该理论的重要性在于包含了质量耦合作用,并为研究该问题提供了理性基础和实用方程.本文对所得方程中的系数的物理意义和热力学限制进行了讨论.通过比较认为本文的理论和Biot古典理论基本上一致.本文还对完全透水、完全不透水和具有刚性固体骨架的介质的无边界条件下的波传播问题进行了研究,得到了一些有意义的结论.

Abstract: This article utilizes the theory of mixtures to formulate a general theory of wave propagation with mass-coupling effect in fluid-saturated porous media.An attempt is made to discuss the physical interpretation and the thermodynamic restriction of the coefficients appearing in the equations obtained, by the comparison it is shown that Biot's classical theory and the present one are essentially consistent.Also wave velocities in some special cases are calculated, from which it is concluded that mass-coupling and permeability of media greatly affect wave propagation behavior.

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