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So its determination is very important for the evaluation of rock mechanical properties. The rock joint surface may be assumed to have fractal characteristics, and its fractal dimension can be used to describe the roughness of the surface joints, but the surface roughness of rock joints generally does not strictly have the nature of fractal self-similarity, so, the measurement results of surface fractal parameters (fractal dimension D and the intercept A) would be affected by the scale. In this study, the 3-D superficial laser topography instrument was used to scan samples of 10 different sizes (ranging from 100mm×100mm to 1000mm×1000mm ). It is shown that both the fractal dimension D and the intercept A are indeed scale-dependent, but the scale effect and their values decrease with the increase of the size of the sampling windows, and a limit size exists. Considering the rock surface size, the sample length and the measurement scale on the rock joint surface roughness, an acceptable solution for fractal measurements is proposed to assess the properties of rocks., authors=CAO Ping, LUO Lei, LIU Taoying, ZHANG Ke, authorsList=CAO Ping;LUO Lei;LIU Taoying;ZHANG Ke, authorCompany=School of Resources and Safety Engineering, Central South University, Changsha 410083, China, correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=XLI0Yhstopmj2zxnb56SWA==, pdfFileSize=1535024, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1242127837210148975, articleId=1242127834701955174, tenantId=1146029695717560320, 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岩石节理面粗糙度的分形效应与试件尺寸影响分析
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科技导报 |研究论文 2011 , 29 (24) : 57 -61
岩石节理面粗糙度的分形效应与试件尺寸影响分析
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曹平, 罗磊, 刘涛影, 张科
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    中南大学资源与安全工程学院,长沙 410083
Analysis of the Fractal and Sample Size Effects of the Rock Joint Surface Roughness
  • CAO Ping, LUO Lei, LIU Taoying, ZHANG Ke
  • Affiliations
      School of Resources and Safety Engineering, Central South University, Changsha 410083, China
    出版时间: 2011-08-28 doi: 10.3981/j.issn.1000-7857.2011.24.008
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    岩石节理面的粗糙度是影响岩体形变、位移和强度的主要因素,准确量测岩石节理表面的粗糙度对评价岩石力学特性非常重要.根据分形理论,岩石节理表面具有分形特征,可用分形维数描述节理表面的起伏度,但是岩石节理表面粗糙度一般不具有严格的自相似分形性质,因此,表面分形参数(分形维数D和截距A)的量测结果受到尺度的影响.本文运用三维表面激光形貌仪扫描10个不同尺度的试件(尺寸为100mm×100mm—1000mm×1000mm),结果表明,DA随试件尺寸增大而减小,两参数都有尺度效应,但存在一个极限尺寸.综合考虑岩石表面尺寸、试件长度以及测量尺度对岩石节理表面粗糙度的影响,提出可靠的分形测量途径.
    表面粗糙度  /  自相似性  /  分形测量  /  分形维数  /  截距  /  尺度效应
    The surface roughness of rock joints is a major factor that influences the rock mass deformation, displacement and strength. So its determination is very important for the evaluation of rock mechanical properties. The rock joint surface may be assumed to have fractal characteristics, and its fractal dimension can be used to describe the roughness of the surface joints, but the surface roughness of rock joints generally does not strictly have the nature of fractal self-similarity, so, the measurement results of surface fractal parameters (fractal dimension D and the intercept A) would be affected by the scale. In this study, the 3-D superficial laser topography instrument was used to scan samples of 10 different sizes (ranging from 100mm×100mm to 1000mm×1000mm ). It is shown that both the fractal dimension D and the intercept A are indeed scale-dependent, but the scale effect and their values decrease with the increase of the size of the sampling windows, and a limit size exists. Considering the rock surface size, the sample length and the measurement scale on the rock joint surface roughness, an acceptable solution for fractal measurements is proposed to assess the properties of rocks.
    surface roughness  /  self-similarity  /  fractal measurement  /  fractal dimension  /  intercept  /  scale effect
    曹平;罗磊;刘涛影;张科. 岩石节理面粗糙度的分形效应与试件尺寸影响分析. 科技导报, 2011 , 29 (24) : 57 -61 . DOI: 10.3981/j.issn.1000-7857.2011.24.008
    CAO Ping;LUO Lei;LIU Taoying;ZHANG Ke. Analysis of the Fractal and Sample Size Effects of the Rock Joint Surface Roughness[J]. Science & Technology Review, 2011 , 29 (24) : 57 -61 . DOI: 10.3981/j.issn.1000-7857.2011.24.008

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    doi: 10.3981/j.issn.1000-7857.2011.24.008
    • 接收时间:2010-12-28
    • 首发时间:2011-08-28
    • 出版时间:2011-08-28
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    2种不同金属材料的力学参数

    Family
    属数
    Number of
    genus
    种数
    Number of
    species
    占总种数比例
    Percentage of
    total species (%)

    Genus
    种数
    Number of
    species
    占总种数比例
    Percentage of total
    species (%)
    鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
    小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
    多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
    红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
    小菇属 Mycena 11 5.26
    光柄菇属 Pluteus 5 2.39
    红菇属 Russula 17 8.13
    栓菌属 Trametes 5 2.39
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