| | AbstractElastic radiative
transfer equations have recently been derived to describe the evolution
of seismic energy in the crust of the earth (Ryzhik et al.,
1996). These equations are derived from a rigorous statistical treatment
of the elastic-wave equation and include both shear polarizations 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
seismology. Both the steady-state and time-dependent solutions have been
examined including effects from boundaries, depolarization of S
waves approach to isotropy of energy, and validity of the diffusion
approximation. Similar results are expected for seismology.Return to Table of
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