We studied the static and dynamic transport properties of 2D elastic random media in thin slabs. We investigated a system for which the wave interference effect can be ignored. The energy transport of the system can be calculated from the radiative transport equation (RTE), and the diffusion equation (DE). We discussed the diffusive behavior of the wave energy, and the phenomenon of energy equilibration between the shear (s-) wave and the compressional (p-) wave, both of which are due to the many scatterings during the energy transport. We also studied the ballistic-to-diffusive transition in the dynamic transport of elastic wave. We determined the crossover sample size, which is L_c^p = 8.7l_p^* for p-wave incidence, and L_c^s = 5.5l_s^* for s- wave incidence respectively. These results are co...[ Read more ]

We studied the static and dynamic transport properties of 2D elastic random media in thin slabs. We investigated a system for which the wave interference effect can be ignored. The energy transport of the system can be calculated from the radiative transport equation (RTE), and the diffusion equation (DE). We discussed the diffusive behavior of the wave energy, and the phenomenon of energy equilibration between the shear (s-) wave and the compressional (p-) wave, both of which are due to the many scatterings during the energy transport. We also studied the ballistic-to-diffusive transition in the dynamic transport of elastic wave. We determined the crossover sample size, which is L_c^p = 8.7l_p^* for p-wave incidence, and L_c^s = 5.5l_s^* for s- wave incidence respectively. These results are comparable to the result for scalar wave in 2D, which is L_c ≈ 6l^* .