Homogenization of acoustic waves in strongly heterogeneous porous structures

被引:12
作者
Rohan, Eduard [1 ]
机构
[1] Univ W Bohemia, Fac Sci Appl, NTIS New Technol Informat Soc, European Ctr Excellence, Plzen 30614, Czech Republic
关键词
Porous media; Asymptotic homogenization; Double-porosity; Wave dispersion; Acoustic waves; Layered media; DOUBLE-POROSITY; ELASTIC-WAVES; QUASI-STATICS; MEDIA; PROPAGATION; FLUID; MODEL; SIMULATION; BONE;
D O I
10.1016/j.wavemoti.2013.04.005
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
We consider acoustic waves in fluid-saturated periodic media with dual porosity. At the mesoscopic level, the fluid motion is governed by the Darcy flow model extended by inertia terms and by the mass conservation equation. In this study, assuming the porous skeleton is rigid, the aim is to distinguish the effects of the strong heterogeneity in the permeability coefficients. Using the asymptotic homogenization method we derive macroscopic equations and obtain the dispersion relationship for harmonic waves. The double porosity gives rise to an extra homogenized coefficient of dynamic compressibility which is not obtained in the upscaled single porosity model. Both the single and double porosity models are compared using an example illustrating wave propagation in layered media. (C) 2013 Elsevier B.V. All rights reserved.
引用
收藏
页码:1073 / 1089
页数:17
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