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Russian Geology and Geophysics

2002 year, number 9

CRACKED SOLID GEOMETRY AND PARAMETRIC RESONANCE

B. P. Sibiryakov
Keywords: Pore geometry, specific surface area, instability, resonance
Pages: 882-887

Abstract

Resonance phenomena are often observed in seismology and seismic exploration: vibration applied to oil wells, earthquakes caused by periodic oscillations of hydropower stations, crust movements associated with Moon rotation, or motions of the Earth's surface felt in regions of active petroleum production. These phenomena have a surprisingly poor theoretical background in geophysics, though parametric resonance is well known in physics. The reason may be that wave phenomena in rocks are simulated in geophysics in the context of continuum media that lack internal geometry and, hence, characteristic sizes of structures related to the specific surface area. However, resonance phenomena fraught with natural and technical risk can be theoretically investigated in terms of a model containing specific surface area of cracks with a length-inverse dimension.