基于分形损失理论的粗糙节理岩体中应力波波速研究

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (2) : 169-171.

论文

基于分形损失理论的粗糙节理岩体中应力波波速研究

李业学1,2;刘建锋2;马亢2,3

作者信息 +

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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文章历史 +

摘要

从损伤力学的基本理论出发，推导了应力波在节理岩石中传播波速的解析解，建立了节理面图像分形维数与波速间的关系。为了从数值角度探讨节理面图像维数对波速的影响规律，基于图像每一像素颜色可表示为一个三维空间矢量的基本假定，构建了节理面图像的粗糙“颜色表面”模型，计算了该“颜色表面”的分形维数，此维数即为节理面图像维数，并通过实例验证了该法的可行性。在此基础上，通过数值方法探讨了波速随图像维数的变化规律，研究显示：随着节理面图像维数增大，节理面粗糙程度的增加，应力波波速相应减小，且在不同的图像维数区间里，波速减小的速率也有所不同

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.

导出引用

李业学;刘建锋;马亢;. 基于分形损失理论的粗糙节理岩体中应力波波速研究[J]. 振动与冲击, 2012, 31(2): 169-171

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