Abstract
The acoustic properties of porous materials containing dead-end (DE) pores have been proposed by Dupont et al. [J. Appl. Phys. 110, 094903 (2011)]. In the theoretical description, two physical parameters were defined (the dead-end porosity and the average length of the dead-end pores). With the knowledge of the open porosity (measured with non-acoustic methods), and the measurement of kinematic porosity (also called the Biot porosity in this article), it is possible to deduce the dead-end porosity. Two acoustic methods for measuring the Biot porosity for a wide range of porosities are proposed. These methods are based on acoustic transmission and on the low and high frequency behaviors of acoustic indicators. The low frequency method is valid for high porosities. It involves measurements in a transmission tube and the knowledge of the theoretical asymptotic behavior of the phase velocity at high frequencies. The high frequency method is based on ultrasonic measurements and on the high frequency asymptotic behavior of the transmission coefficient. It is well adapted for material with relatively low values of porosity. Good precision was found for both methods and materials containing dead end porosity were tested.
Highlights
The porosity most often considered in the acoustics of porous media is open porosity
Two simple acoustic transmission methods are proposed in this paper to estimate the Biot porosity and to deduce the DE porosity for a wide range of porous materials containing DE pores: A low frequency method using a transmission tube for material with b close to one and a high frequency method using ultrasonic transducers, for materials with small values of b
Two different experimental acoustic methods were presented for the measurement of the Biot porosity
Summary
The porosity most often considered in the acoustics of porous media is open porosity. It is believed that, depending on the frequency, the fluid properties and the dimensions of the cavities, standing wave fields can settle within the dead-end pores, resulting in resonances in acoustic indicator curves Initial confirmation of these predictions was provided by experimental results obtained on materials with cavities created artificially and on porous metals that are likely to contain deadend porosity. Two simple acoustic transmission methods are proposed in this paper to estimate the Biot porosity and to deduce the DE porosity for a wide range of porous materials containing DE pores: A low frequency method using a transmission tube for material with b close to one and a high frequency method using ultrasonic transducers, for materials with small values of b. Sections of this article were presented at a conference.[27]
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