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Friction-induced oscillations in rock systems Wong, Kwong Ching

Abstract

Friction-induced vibrations and the rate dependencies of friction were studied for steel, glass and four types of rock. The mathematical analysis of Cameron was modified to include a force rate parameter as used by Johannes. A new equation was used in the analysis relating the static coefficient of friction with above mentioned force rate parameter. This equation was found to be valid for each of the materials used which possessed stick-slip vibrations. Reasonable correlations were obtained between the analytical curves and the experimental data. Stick-slip vibration theory was used to explain the mechanics of shallow earthquakes. A rough calculation of the permanent displacement of the 1906 San Francisco earthquake was obtained and found to be very close to the reported value. A formula for estimating the period of the fault displacement was introduced.

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