Pb. Nagy et G. Blaho, EXPERIMENTAL MEASUREMENTS OF SURFACE STIFFNESS ON WATER-SATURATED POROUS SOLIDS, The Journal of the Acoustical Society of America, 95(2), 1994, pp. 828-835
The surface impedance of a fluid/fluid-saturate porous solid interface
is defined as the ratio of the pressure difference between the fluids
on the two sides of the interface and the volume velocity of the flui
d through the surface pores. In most cases, the surface pores are inhe
rently ''open'' and the surface impedance is negligible when the sampl
e is fully submerged in fluid. On the other hand, due to surface tensi
on, practically closed-pore boundary conditions can prevail at an inte
rface between a nonwetting fluid (e.g., air) and a porous solid satura
ted with a wetting fluid (e.g., water). This effect is caused by the h
igh stiffness of the microscopic fluid membranes extended by capillary
forces over the otherwise open surface pores. We have determined the
quasistatic surface stiffness of different water-saturated porous mate
rials by changing the hydrostatic pressure and directly measuring the
average surface displacement by an acoustical sensor. Generally, the s
urface stiffness is proportional to the surface tension of the wetting
fluid and inversely proportional to the static permeability of the sp
ecimen. For cylindrical pores, the measured surface stiffness is in go
od agreement with theoretical predictions. For more irregular geometri
es, such as consolidated spherical beads, the surface stiffness is sti
ll inversely proportional to the static permeability but its value is
orders of magnitudes lower than for cylindrical pores of comparable pe
rmeability.