Sadouki M, Fellah Z E A, Berbiche A, Fellah M, Mitri F G, Ogam E, Depollier C
Faculté des Sciences et de la Technologie, Université de Khemis Miliana BP 44225 Ain Defla, Algeria.
LMA, CNRS, UPR 7051, Aix-Marseille Univ, Centrale Marseille, F-13402 Marseille Cedex 20, France.
J Acoust Soc Am. 2014 Jun;135(6):3163-71. doi: 10.1121/1.4874600.
Conventional acoustical methods for measuring the permeability or flow resistivity of a porous material require a priori estimation of the porosity. In this work, an acoustical method is presented in which a simplified expression (independent of both the frequency and porosity) for the transmitted waves at the Darcy's regime (low frequency range) is derived, and used for the inverse determination of both the viscous static permeability (or flow resistivity) and the thickness of air-saturated porous materials. The inverse problem is solved based on the least-square numerical method using experimental transmitted waves in time domain. Tests are performed using industrial plastic foams. Experimental and numerical validation results of this method are presented, which show the advantage of measuring the viscous permeability and thickness of a porous slab, without the required prior knowledge of the porosity, but by simply using the transmitted waves.
传统的用于测量多孔材料渗透率或流阻率的声学方法需要事先估计孔隙率。在这项工作中，提出了一种声学方法，该方法推导出了达西 regime（低频范围）下透射波的简化表达式（与频率和孔隙率均无关），并用于反演空气饱和多孔材料的粘性静态渗透率（或流阻率）和厚度。基于最小二乘数值方法，利用时域中的实验透射波来解决反问题。使用工业塑料泡沫进行测试。给出了该方法的实验和数值验证结果，这些结果表明了测量多孔板粘性渗透率和厚度的优势，无需事先了解孔隙率，只需简单地使用透射波即可。
