Dl. Johnson et al., PROBING POROUS-MEDIA WITH 1ST AND 2ND SOUND .2. ACOUSTIC PROPERTIES OF WATER-SATURATED POROUS-MEDIA, Journal of applied physics, 76(1), 1994, pp. 115-125
The ultrasonic properties (reflection/transmission and bulk attenuatio
n/speed) of porous and permeable media saturated with a Newtonian flui
d, namely water, are considered. The frequency dependence of the trans
mission amplitudes of pulses is measured through a slab of thickness d
1, repeated for another slab of thickness d2 for a given material. Wit
h these two measurements on two different thicknesses, it is possible
in principle to separate bulk losses from reflection/transmission loss
es for compressional waves in these materials. The bulk properties are
calculated from the Biot theory for which all of the input parameters
have been measured separately; the attenuations are particularly sens
itive to the values of LAMBDA, determined from second-sound attenuatio
n measurements reported in the companion article. There is excellent q
uantitative agreement between the theoretical and experimental values
in the cases considered; there are no adjustable parameters involved.
The reflection and transmission coefficients are reported for some of
the multiply reflected pulses and their amplitudes are compared with t
hose calculated from the Deresiewicz-Skalak and Rosenbaum boundary con
ditions appropriate to either the open-pore or sealed-pore surfaces, a
s the case may be. Again, there is excellent quantitative agreement be
tween theory and experiment. Compared with the open-pore boundary cond
itions, it is noted that there is a large reduction, both theoreticall
y and experimentally, in the efficiency with which the slow compressio
nal wave is generated when the sealed-pore boundary conditions apply,
but this efficiency is not reduced to zero.