Scattering of elastic waves by randomly distributed and oriented scatterers

Abstract

We analyze the two‐dimensional problem of multiple scattering by randomly distributed and oriented scatterers, and compare the results with those for the aligned scatterers. Waterman’s T‐matrix approach in conjunction with the statistical averaging for both position and orientation are employed to obtain the phase velocity and attenuation due to geometric dispersion for a wide range of frequencies. Analytical expressions for the dispersion relation are also derived at low frequencies for both randomly distributed and oriented inclusions and cracks.