SCATTERING AND DIFFUSION OF SEISMIC-WAVES

Elastic radiative transfer equations have recently been derived to des cribe the evolution of seismic energy in the dust of the earth (Ryzhik et al., 1996), These equations are derived from a rigorous statistica l treatment of the elastic-wave equation and include both shear polari zations and mode conversion between the P and S modes. Calculations of attenuations ratios and diffusion constants based upon these theories are made and compared with values used in the literature, Equivalent elastic radiative transfer equations have also been previously derived for ultrasonic materials characterization purposes using a different method, Observations made from numerical solutions of these ultrasonic radiative transfer equations are discussed with application to seismo logy, Both the steady-state and time-dependent solutions have been exa mined including effects from boundaries, depolarization of S waves app roach to isotropy of energy, and validity of the diffusion approximati on, Similar results are expected for seismology.