In this paper, the propagation of sound waves in partially saturated soils is investigated. A macroscopic linear model that
is based on the two-component model of Biot and on the Simple Mixture Model by Wilmanski is used. For the construction of
the model by a micro-macro transition, see Albers, Géotechnique, 2007. We investigate a porous medium consisting of a deformable
skeleton and two compressible, chemically non-reacting, pore fluids (liquid and gas). The wave analysis of the poroelastic
model reveals the number of acoustic waves and the dependence of velocities and attenuations of these waves on the initial
saturation and frequency. There appear four body waves: three longitudinal waves,
P1,
P2,
P3, and one shear wave,
S. The
P2-wave shows a similar feature as in air–water mixtures: from the theory of suspensions, it is well known that the existence
of air bubbles in water reveals a minimum in the sonic velocity. This is also the case for the
P2 -speed in the unsaturated porous medium. The
P1-velocity increases very abruptly for a certain degree of saturation. This provides the hope for the development of a nondestructive
testing method.
Keywords Partially saturated soils - Sound waves in poroelastic materials - Geomechanics