Dmj. Smeulders et Meh. Vandongen, WAVE-PROPAGATION IN POROUS-MEDIA CONTAINING A DILUTE GAS-LIQUID MIXTURE - THEORY AND EXPERIMENTS, Journal of Fluid Mechanics, 343, 1997, pp. 351-373
The influence of a small amount of gas within the saturating liquid of
a porous medium on acoustic wave propagation is investigated. It is a
ssumed that the gas volumes are spherical, homogeneously distributed,
and that they are within a very narrow range of bubble sizes. It is sh
own that the compressibility of the saturating fluid is determined by
viscous, thermal, and a newly introduced Blot-type damping of the osci
llating gas bubbles, with mean gas bubble size and concentration as im
portant parameters. Using a super-saturation technique, a homogeneous
gas-liquid mixture within a porous test column is obtained. Gas bubble
size and concentration are measured by means of compressibility exper
iments. Wave reflection and propagation experiments carried out in a v
ertical shock tube show pore pressure oscillations, which can be expla
ined by incorporating a dynamic gas bubble behaviour in the linear Blo
t theory for plane wave propagation.