A model for ultrasonic scattering in cancellous bone based on velocity fluctuations in a binary mixture.

A scattering model based on velocity fluctuations in a binary mixture (marrow fat and cortical matrix) was used to estimate the ultrasonic attenuation in cancellous bone as a function of volume fraction. The calculation of velocity fluctuations alone seems to be suitable for the qualitative estimation of attenuation. The predicted values of the attenuation were of the same order of magnitude as experimentally determined values from the literature. This agreement was achieved with only a small number of variables (the velocities of the two components and the scatterer size) in the model, representing a major advantage compared with other theories. Hence the suggested approach appears to be a good starting point for further theoretical investigations using scattering theories. However, this has to be accompanied by accurate ultrasonic and microstructural measurements.