The propagation of sound waves in partially saturated sandstone is investigated by use of a macroscopic linear model which is based on the two-component model of Biot and on the Simple Mixture Model by Wilmanski. The considered porous medium consists of a deformable skeleton and two compressible pore fluids (water and air).
The wave analysis of the poroelastic model reveals the existence of four body waves: three longitudinal waves, P1, P2, P3, and one shear wave, S. The dependence of their phase velocities and attenuations on the saturation and on the frequency is studied and compared to experimental observations and the sound velocity of suspensions.
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Albers, B. (2009). On The Influence of Saturation and Frequency on Monochromatic Plane Waves in Unsaturated Soils. In: Schanz, T., Iankov, R. (eds) Coupled Site and Soil-Structure Interaction Effects with Application to Seismic Risk Mitigation. NATO Science for Peace and Security Series C: Environmental Security. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2697-2_5
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