For a medium in which seismic waves are extensively scattered, a statistical approach provides an attractive alternative to that based upon wave theory. Seismic energy transmission in such a medium with a given size distribution of scatterers is generally governed by a diffusion equation with a frequency-dependent diffusivity. The theory is applied to interpret the seismic signals generated by the continuous movement of the Lunar Rovers observed at the Apollo 15 and 16 landing sites. The size distribution of scatterers thus determined for these areas is found to be close to the steady-state distribution of craters on the lunar surface, thus the topographic and structural disturbances caused by cratering may be sufficient to explain the observed scattering of seismic waves in the moon.

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