Boutin Claude, Geindreau Christian
Laboratoire Geomateriaux, DGCB-URA CNRS 1652, Ecole Nationale des Travaux Publics de l'Etat, Universite de Lyon, 69518 Vaulx-en-Velin Cedex, France.
J Acoust Soc Am. 2008 Dec;124(6):3576-93. doi: 10.1121/1.2999050.
This paper presents a study of dynamic permeability of porous media combining homogenization of periodic media (HPM) and the self-consistent method (SCM). By taking advantage of the physical principles identified with HPM, the application of SCM leads to the determination of two physically admissible dynamic permeability assessments, both different from that given by the cell model. A comparison with numerical modeling demonstrates the fairly good reliability of the three estimates for granular media consisting of a periodic array of spherical grains. Furthermore, the self-consistent values enable exact bounds for the dynamic permeability of a wide class of porous media to be derived with a clear identification of their microstructure (grain and fluid size distribution).
本文提出了一种结合周期性介质均匀化方法（HPM）和自洽方法（SCM）对多孔介质动态渗透率进行研究的方法。利用HPM确定的物理原理，SCM的应用得出了两种物理上可行的动态渗透率评估结果，这两种结果均不同于元胞模型给出的结果。与数值模拟的比较表明，对于由球形颗粒的周期性阵列组成的颗粒介质，这三种估计具有相当好的可靠性。此外，自洽值能够得出一大类多孔介质动态渗透率的精确界限，并能清晰识别其微观结构（颗粒和流体尺寸分布）。
