There has already been vast literature concerning scattering of elastic waves. It is still questionable, however, that how a small scale fluctuation of a wave field influences scattering of waves. In this paper, a method for the multiscale analysis is developed for scattered elastic waves by means of the Lippmann--Schwinger equation. The multiscale decomposition of the solution of the equation is carried out by using a scaling function and wavelet of compact support. Numerical calculations are performed to examine the scale effects of fluctuation of a wave field on sacttering of waves. The numerical results show that the small scale solution has also a significant role as the large scale solution has.