Frequency-Power-Law Attenuation - Scattering by Fractal Inclusions

We have investigated wave propagation in chaotic structures of fractal geometry with random<br>spatial variation. Specifically, we have examined simple closed-form solutions in fractal poroelastic<br>media. These solutions may be characterized by their frequency-power-law (FPL) signature caused<br>by wave dispersion and attenuation. Numerical results show that the fractal dimension can be<br>estimated from the FPL dependence of the scattered wavefield. It appears that finite-bandwidth<br>signals are delayed with respect to the wavefront in comparable elastic media.