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两条粗糙平行节理构型对超声波波速影响的试验研究
Experiment Study on Influence of Two Rough Parallel Joint Profile on Ultrasonic Velocity
投稿时间: 2016-09-06  最后修改时间: 2016-11-02
DOI:
中文关键词:  节理岩石  超声波  波速;分形;几何构型
英文关键词:Jointed rock  Ultrasonic wave  Wave speed  Fractal  Geometric profile
基金项目:国家自然科学基金面上项目(51374100);湖北省教育厅科学技术研究计划重点项目(D20142603)
作者单位E-mail
李业学 湖北文理学院 liyexue.student@sina.com 
马彦熊 南洋理工大学  
周伟 湖北文理学院  
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中文摘要:
      基于图形图像学和分形几何学交叉学科理论,采用图像学中的颜色单元体,借鉴将颜色灰度值间接对应节理面高度值的思想,结合分形布朗函数,本文提出了间接描述节理粗糙度的自仿射维数计算方法——YUV维数。依据本文提出的方法,计算了24个节理岩石共48个粗糙面的YUV维数,剖析了节理面几何构型的分形特征。采用含两条节理岩石超声波试验,探讨了节理岩石的两条节理YUV维数对超声波波速的影响规律,研究结果表明,超声波波速平均值随着任一节理YUV维数、两条节理维数之和减小而增大。在维数减小过程中,尽管波速持续增加,但波速增大速率逐渐降低,当维数减小至某个量值时,波速不再增大,近似趋于一常量。通过类比分析,文中认为上述结论的机理和原因是:维数由大变小的过程,可类比为节理面孔隙缺陷被逐渐压密且分布越来越规则的过程,因为在节理面孔隙缺陷被逐渐压密且分布越来越规则过程中,量化的数值体现就是维数逐渐变小,因而,当维数变小,或者说节理面缺陷孔隙被压密且分布更为规则时,超声波波速将由小变大且最后将趋于一常数。
英文摘要:
      In the paper, disciplinary theory of image and graph and fractal geometry is applied. The idea that gray value corresponds to height is referred to. Fractal Brownian function is introduced. The method on self-affine dimension called as YUV dimension used to indirectly characterize the surface roughness is presented. Based on the method presented in the paper, the YUV dimensions of 48 rough surfaces in the 24 jointed rocks are evaluated. Fractal characteristics of joined surface geometric profiles are analyzed. The ultrasonic experiment on jointed rock is carried out, and influence from YUV dimension of two joints on ultrasonic velocity is studied. It is indicated that mean of ultrasonic velocity increases with the decreasing of sum or each of two joints dimensions. In the process of dimension increasing, wave speed always rises, but increasing rate individually reduces. When dimension declines to a certain value, wave speed rises no longer and approaches a constant. By analogy, mechanism and cause of the conclusion is probed into. The process that dimension changes form big to small may be made an analogy to the one that pores and faults of jointed surface are individually densified and their distributions are more and more regular. Because during the process that pore and fault in the joint surface is individually densified and their distributions are more and more regular numerical indication of the phenomenon is that dimension changes from small to big, When dimension changes from big to small, or pore and fault in the joint surface is densified and distributes more regularly, ultrasonic wave speed changes from big to small and finally approaches a constant.
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