Observations of Random Walk of the Ground in Space and Time
Abstract
We present results of micron-resolution measurements of the ground motions in large particle accelerators over the range of spatial scales L from several meters to tens of kilometers and time intervals T from minutes to several years and show that in addition to systematic changes due to tides or slow drifts, there is a stochastic component which has a “random-walk” character both in time and in space. The measured mean square of the relative displacement of ground elements scales as dY2≈ATL over a broad range of the intervals, and the site dependent constant A is of the order of 10-5±1(μm2/s)/m.
- Publication:
-
Physical Review Letters
- Pub Date:
- June 2010
- DOI:
- 10.1103/PhysRevLett.104.238501
- arXiv:
- arXiv:1202.0027
- Bibcode:
- 2010PhRvL.104w8501S
- Keywords:
-
- 91.30.pb;
- 05.40.Fb;
- 05.45.Tp;
- 29.20.-c;
- Ground motions and engineering seismology;
- Random walks and Levy flights;
- Time series analysis;
- Cyclic accelerators and storage rings;
- Physics - Accelerator Physics
- E-Print:
- 17 pp