Reflection measurements were conducted on water-saturated sand over the frequency range 200–300 kHz. Three reflection boundaries were used: water-sand, pressure-release-sand, and acrylic-sand. A reflection ratio technique was used to remove unknown calibration and geometric factors, permitting measurement of parameters relating to the Biot fast wave and bounding of parameters of the slow wave. The interpretation of these results was facilitated by use of a mechanical model. Measured (or bounded) parameters include acoustic impedances, effective densities, wave speeds (phase velocities), effective pressures, fluid-frame displacement ratios, pressure reflection coefficients, and material moduli. The acoustic impedance divided by the phase velocity provides the ‘‘effective density’’ [K. L. Williams, J. Acoust. Soc. Am. 110, 2956–2963 (2001)] for the fast wave. As expected, the effective density was less than the total density of the sediment (effective density =89% of total). The fluid-frame displacement ratio was 2.2 for the fast wave. These results provide strong evidence for the importance of Biot effects in water-saturated sand.
and have found that it is complete and satisfactory in all respects, and that any and all revisions required by the final examining committee have been made. This dissertation describes experiments intended to help understand the physics of sound (compressional waves) propagating through sandy sediments (unconsolidated porous media). The theory (using a lumped parameter model) and measurements (using a reflection ratio technique) includes derivations and measurements of acoustic impedances, effective densities, wave speeds (phase velocities), effective pressures, mode shapes, pressure reflection coefficients, and material moduli. The results show the acoustic impedance divided by the phase velocity, rendering an "effective density," is less than the total density of the sediment (effective density = 89% + 3% of total). The results also show the fluid in the sediment oscillates back-and-forth 2.2 + 0.4 times farther than the sand in the sediment (mode shape) during the passing of a sound wave.These facts suggest the existence of Biot waves (two compressional waves) in watersaturated sand.
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