岩石节理形貌粗糙度系数与分形维数及几个参数的关系分析  

Analysis of Relationship among Rock Joint Surface Roughness and Fractal Dimension including Several Parameters

作　　者：李坤[1] 王卫华[1] 严哲[1] 唐修 

机构地区：[1]中南大学资源与安全工程学院,长沙410083

出　　处：《世界科技研究与发展》2016年第5期1029-1034,共6页World Sci-Tech R&D

基　　金：国家自然科学基金(41372278)资助

摘　　要：为了更加准确地描述岩石节理形貌粗糙度系数(JRC),利用26组花岗岩试样劈裂形成模拟天然节理和20组人工预制具有不同JRC系数值的试样来模拟节理表面形貌,研究了节理三维形貌各向异性分形特征、JRC以及剖面线平均分形维数和节理表面分形维数之间的关系。并且在前人研究的基础上,分析了其他学者较少研究的几个参数,即节理剖面系数R_p、粗度轮廓的最大波谷深度R_v、粗度轮廓的均方根(RMS)的偏差R_q及峰度系数Sku几个统计参数和JRC之间的相关关系。结果表明,尽管各方向的分形维数差异较小,但是仍然存在各向异性特征。JRC与分形维数之间存在较为明显的指数关系,而剖面线平均分形维数和节理表面分形维数之间存在很强的线性相关关系,JRC与R_p、R_v、Sku之间的相关关系为线性关系,且R_p、R_v与JRC的相关关系拟合结果很相似,均为线性相关。而JRC与R_q之间存在抛物线的关系,拟合结果 JRC=3.80013+4.3267e43.3276Rq。通过运用分形和统计参数联合描述JRC更加全面。In order to more accurately describe rock joint roughness coefficient（ JRC）,26 groups of granite samples containing crack profile simulated natural joints and 20 groups of numerical artificial prefabricated with different roughness JRC samples are used to simulate joint surface topography. Then,anisotropic fractal feature of joint 3D morphology,the relationship among JRC,the average fractal dimension and surface profile line fractal joint dimension are researched. On the basis of previous studies,correlation between several statistical parameters,including joint profile coefficient Rp,maximum trough depth of the roughness profile Rv,root mean square deviation RMS of roughness profile Rq,coefficient of kurtosis Skuand JRC are analyzed. The results show that there is the anisotropic characteristic although the difference of fractal dimension in each azimuth angle is small. There is the obvious exponential relationship between JRC and the fractal dimension,meantime,combined with the strongly linear relationship between the average profile fractal dimension and surface fractal dimension of joints. The linear relationship between JRC and Rp,Rv,Sku,Rp is found. The fitting correlation between Rp、Rvand JRC are very similar,but there is a parabola relationship between JRC and Rq,the fitting result is JRC = 3. 80013 ＋4. 3267e^43. 3276 Rq. It is more comprehensive by using fractal theory and statistical parameters to describe the JRC.

关 键 词：节理形貌粗糙度系数 各向异性 分形维数 统计参数 相关关系 

分 类 号：TU45[建筑科学—岩土工程]