A recent suspension theory of marine mud [Pierce, et al., POMA 29, accepted] hypothesizes that embedded silt particles are the dominant contributors to compressional wave attenuation. The approach predicts frequency intervals within which attenuation increases roughly linearly with frequency, as often assumed. These intervals depend on the measured (or assumed) mean silt particle size. This presentation investigates the influence of distributions of silt particle sizes on attenuation, including the distribution shapes obtained from data, and the intervals of linear frequency with multiple particle sizes. In addition to attenuation, the theory also provides compressional sound speed predictions. Their sensitivity to changes in measured physical parameters and frequency will be determined, and the results compared with archival data and recently analyzed SBCEXP core data along a range-dependent experimental track. Another consequence of the theory is how porosity is affected by the minimum separation distance between silt particles and including viscous boundary layers. An environmental-acoustic model of the experimental track will be constructed, based on ocean sound-speed profiles, bathymetry, analyzed core data, and attenuation from theory. This model will be used to calculate transmission loss for propagation along the track to compare with acoustic measurements from the experiment. [Work supported by ONR.]