Study on veocity of stress wave transmitted in rought joint rock based on frctal damage theory

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Journal of Vibration and Shock ›› 2012, Vol. 31 ›› Issue (2) : 169-171.

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Study on veocity of stress wave transmitted in rought joint rock based on frctal damage theory

Li Ye-xue1,2; Liu Jian-feng2; Ma kang2,3

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Abstract

By fundamental theory of damage mechanics, Analytical resolution of velocity of stress wave propagating in jointed rock has been derived, and relation between velocity and joint image fractal dimension has been established. In order to study effluence rule of joint image dimension on velocity, in the paper by hypothesis that color of every pixels can be expressed into a vector in three-dimensional space, model on rough color surface of joint surface image is built and fractal dimension of rough color surface is calculated. This dimension is considered to be image dimension. Also reliability of the theory is validated by some examples. On the base, rule of wave speed with the change of image dimension is probed into. It is indicated that with the increment of joint image dimension, that is, increasing of joint surface roughness, stress wave speed correspondingly reduces and decreasing rate of wave speed is distinct in different dimension ranges.

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stress wave / image dimension / damage / wave velocity / jointed rock

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Li Ye-xue; Liu Jian-feng; Ma kang;. Study on veocity of stress wave transmitted in rought joint rock based on frctal damage theory[J]. Journal of Vibration and Shock, 2012, 31(2): 169-171