Several models have been developed to describe dispersion in granular sediments. There is an abundance of measurements confirming these models above 10 kHz, obtained via time-of-flight measurements, but there is far less data for accurate model verification under 10 kHz. The present work focuses on laboratory compressional wave speed measurements of water-saturated glass beads in the frequency range 1 kHz to 10 kHz using a resonance tube technique that, in future work, will be scaled in size to attain results below 1 kHz. In previous versions of this technique, the granular sediment completely filled the resonator; however, grain interaction with the resonator walls and the development of grain-to-grain force chains yielded undesirable results. The present method isolates a cylindrical volume of sediment from the resonator wall by a tulle net membrane and a layer of water. The effective sediment wave speed is inferred through the measured system resonance frequencies and a finite-element model that relates the system resonance frequencies to the intrinsic sound speed of the sediment. Sound speed measurements in a model sediment composed of 1-mm-diameter glass beads and distilled water agreed with the Effective Density Fluid Model (EDFM). [Work supported by ONR.]