两统计参数评估结构面粗糙度探讨及试验验证

doi:10.13722/j.cnki.jrme.2020.0645

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摘要岩体结构面粗糙度定量化表征对结构面力学性质精准描述具有重要意义。研究表明，在量化结构面粗糙度的众多统计参数中，均方根Z2和结构函数SF与巴顿10条典型节理轮廓线的粗糙度系数JRC值相关性最好。然而，采样间隔是制约其实践应用的重要瓶颈。基于此，应用数字图像处理技术，首先计算10条节理线在采样间隔SI∈[0.2 mm，10 mm]范围的30组Z2和SF值；然后分析不同采样间隔SI分别对Z2和SF的影响规律，进一步推演组合参数(Z2，SI)，(SF，SI)分别与JRC的关系；以此提出适用于采样间隔SI∈[1 mm，10 mm]范围内的任一间隔组合参数(Z2，SI)，(SF，SI)评估结构面粗糙度JRC的通用方法；最后通过结构面剪切试验验证所提评估公式的可靠性。结果表明：(1) 同一节理轮廓线，随采样间隔SI增大，Z2值逐渐减小；而参数SF值随采样间隔SI的增大而增大；两参数Z2和SF分别与SI呈相关性很好的幂函数关系；且其幂函数的系数总体上随JRC的增大而增大。(2) 所提2种评估方法经巴顿曲线粗糙度的初步验证，3条节理线(JRC0–2，JRC16–18，JRC18–20)粗糙度估值总体上略偏小些，而(JRC4–6，JRC10–12)这两条节理线粗糙度估值总体上略偏大些，其他5条节理线粗糙度估算值基本分布在其粗糙度范围内。(3) 室内直剪试验反算试验结构面4个方向的粗糙度与估算公式结果进行对比验证可知，粗糙度估计值与试验值总体上比较接近；若最大允许偏差为4时，采用两评估方法任一间隔组合参数评估4个方向结构面的粗糙度，其准确率不低于83.33%。该研究成果克服了统计参数Z2，SF评估结构面粗糙度受采样间隔影响的缺陷；为统计参数评估结构面粗糙度提供了一种新方法。

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	陈世江1
	常建平1
	姬长兴2
	吴祥业1
	杜广盛1
	杨志东3

关键词 ：岩石力学, 结构面, 粗糙度评估, 统计参数, 采样间隔

Abstract：Quantitatively characterizing joint roughness is of great significance to accurately understand joint mechanical properties. As indicated in the literature，the root mean square(Z2) and the structure function(SF) among many statistical parameters for joint roughness have the best correlation with JRC. However，the sampling interval(SI) is an important obstacle restricting their practical application. In this paper，30 sets of Z2 and SF values of ten joint profiles from Barton¢s literature with SI ranging in [0.2 mm，10 mm] were calculated using digital image processing technology. The influence of SI on Z2 and SF was discussed，and the relationships between the combination parameters (Z2，SI) and (SF，SI) with JRC were analyzed. Consequently，a method for evaluating the joint surface roughness JRC by the combined parameters(Z2，SI) and (SF，SI) with SI belonging to [1 mm，10 mm] was proposed，and the reliability of the proposed formulas was verified by shear tests. The results show that，for the same joint profile，with increasing SI，Z2 decreases gradually while SF increases，and that both Z2 and SF have a good power function relation with SI and the coefficients of the power functions rise with increasing JCR. The calculation roughness of Barton curves by the two formulas shows that the estimation values of three joint profiles of JRC0–2，JRC16–18 and JRC18–20 are slightly smaller on the whole，the estimation values of JRC4–6 and JRC10–12 are slightly larger，and the values of the other five joint profiles are basically distributed within the respective range. Comparison between the roughness of the test structural surface along four directions by the direct shear test and the results calculated by the developed formulas shows that the roughness estimation values are in agreement with the test values on the whole. When the maximum allowable deviation is set as 4，the accuracy of the roughness of the structural surface along four directions evaluated by the combination parameters (Z2，SI) and (SF，SI) with random interval is not less than 83.33%. This research provides a new way for evaluating structural surface roughness with statistical parameters.

Key words： rock mechanics joint surfaces evaluation of roughness statistical parameters sampling interval

引用本文:

陈世江1，常建平1，姬长兴2，吴祥业1，杜广盛1，杨志东3. 两统计参数评估结构面粗糙度探讨及试验验证[J]. 岩石力学与工程学报, 2021, 40(3): 476-489.
CHEN Shijiang1，CHANG Jianping1，JI Changxing2，WU Xiangye1，DU Guangsheng1，YANG Zhidong3. A two-parameter evaluation method of joint roughness and its experimental verification. , 2021, 40(3): 476-489.

链接本文:

http://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2020.0645 或 http://rockmech.whrsm.ac.cn/CN/Y2021/V40/I3/476

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