A viscoelastic model for random ultrasound propagation in cancellous bone

In this paper, we perform time-domain simulations of ultrasound interrogations on cancellous bone. We are interested in describing the attenuation of displacement as a function of frequency as well as of bone porosity. A representative volume element for the cancellous bone is constructed using a two-dimensional random distribution of fluid and solid particles, via the turning bands method. Our numerical results compare favorably with those obtained from homogenization methods.