Space-Time Diffusion of Ground and Its Fractal Nature

Details Space-Time Diffusion of Ground and Its Fractal Nature Space-Time Diffusion of Ground and Its Fractal Nature

2009-05-26

arxiv.org/abs/0905.4194v1

Phys.Rev.Lett.104:238501,2010

Physics

Geophysics

83 pages, 46 figs

Scientific paper

10.1103/PhysRevLett.104.238501

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.

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