Space-Time Diffusion of Ground and Its Fractal Nature

Abstract

We present evidences of the diffusive motion of the ground and tunnels and show that if systematic movements are excluded then the remaining uncorrelated component of the motion obeys a characteristic fractal law with the displacement variance dY^2 scaling with time- and spatial intervals T and L as dY^2 \propto T^(Alpha)L^(Gamma) with both exponents close to 1. We briefly describe experimental methods of the mesa- and microscopic ground motion detection used in the measurements at the physics research facilities sensitive to the motion, particularly, large high energy elementary particle accelerators. A simple mathematical model of the fractal motion demonstrating the observed scaling law is also presented and discussed.

83 pages, 46 figs

References in corpus (2)

• Unified Scaling Law for Earthquakes
• Observations of Random Walk of the Ground In Space and Time

Cited by in corpus (5)

• High energy particle colliders: past 20 years, next 20 years and beyond
• Modern and Future Colliders
• Comprehensive Symmetric-Hybrid ring design for pEDM experiment at below $10^{-29}e\cdot$cm
• Hydrostatic Level Sensors as High Precision Ground Motion Instrumentation for Tevatron and Other Energy Frontier Accelerators
• Ambient betatron motion and its excitation by ghost lines in Tevatron