Ground motion issue on the large accelerator alignment

There are many proposals of future next generation accelerator facilities in the world, those are electron-positron linear collider, very large hadron collider and muon collider. All of these colliders are very sensitive with respect to external ground motion noises. Incoherent seismic vibrations are considered among the most severe disturbances. In addition to the seismic vibrations, however, slow drift of the ground occurring like Brownian motion of rocks becomes dominant at frequency region less than seismic vibration. We present spectral and correlation characteristics of the ground motion and discuss the results with accelerators tolerance. (author)