王刚,陈明瑞,刘廷方,等.考虑取样间隔SI的Barton标准JRC表征公式推导研究[J].河南理工大学学报(自然科学版)，doi:10.16186/j.cnki.1673-9787.2024030005.

WANG G, CHEN M R, LIU T F, et al． Derivation of Barton standard JRC characterization formula considering sampling interval SI [J]. Journal of Henan Polytechnic University(Natural Science)， doi: 10.16186/j.cnki.1673-9787.2024030005

考虑取样间隔SI的Barton标准JRC表征公式推导研究(网络首发)

王刚^1,2，陈明瑞¹，刘廷方^1,2,3，王长盛²，吴学震³，管辉⁴，陈慧源⁵，管尚尚⁶

1. 福建理工大学地下工程福建省高校重点实验室，福建 福州 350118；2. 山东科技大学山东省土木工程防灾减灾重点实验室，山东 青岛 266590；3. 福州大学土木工程学院，福建 福州 350108；4. 青岛市勘察测绘研究院，山东 青岛 266033；5. 莒县公路事业发展中心，山东 日照 276599；6. 中建八局检测科技有限公司，北京 102488

摘要: 目的 对结构面形貌特征的精确评价是研究节理岩体剪切力学特性的先决条件。为实现结构面粗糙度的精确表征，方法 本文选用一阶导数均方根Z₂表征二维节理轮廓线粗糙度（JRC^2D），结合图像精细化处理技术对10条Barton标准轮廓线进行图形优化、坐标提取等工作，然后计算各条Barton标准JRC轮廓线在不同取样间隔SI下的Z₂值；经分析取样间隔SI对Z₂的影响规律，对各组数据的Z₂值、SI值和JRC值进行指数函数形式拟合推导。结果 最终获取适用于取样间隔SI∈[0.1 mm, 2.0 mm]的JRC^2D表征新公式：JRC=(129.4163Z2e0.30102SI-17.1606)0.7782, SI∈[0.1 mm, 2.0 mm]。结论 引入参数JRC_P对新公式进行验证，通过对比前人JRC表征公式的计算结果，表明本文提出的考虑取样间隔SI的JRC-Z₂表征公式在其适用范围内具备较高的精确性，研究结果可为评估结构面粗糙度提供理论基础。

关键词: Barton标准JRC轮廓线；图像精细化处理；JRC表征；一阶导数均方根Z₂；指数拟合

doi:10.16186/j.cnki.1673-9787.2024030005

基金项目: 国家自然科学基金资助项目(52478390)；福建理工大学高层次人才引进科研启动基金资助项目(GY-Z23005)

收稿日期：2024-04-30

修回日期：2024-11-25

网络首发日期：2024-12-25

Derivation of Barton standard JRC characterization formula considering sampling interval SI (Online)

WANG Gang^1,2,CHEN Mingrui¹,LIU Tingfang^1,2,3,WANG Changsheng²,WU Xuezhen³,GUAN Hui⁴,CHEN Huiyuan⁵,Guan Shangshang⁶

1. Fujian University Key Laboratory of Underground Engineering, Fujian University of Science and Technology, Fuzhou, Fujian 350118, China; 2. Shandong Key Laboratory of Civil Engineering Disaster Prevention and Mitigation, Shandong University of Science and Technology, Qingdao, Shandong 266590, China; 3. College of Civil Engineering, Fuzhou University, Fuzhou, Fujian 350118, China; 4. Qingdao Institute of Surveying and Mapping, Qingdao, Shandong 266033, China; 5. Juxian Highway Development Center, Rizhao, Shandong 276599, China; 6. China Construction Eighth Bureau Testing Co. Ltd, Beijing 102488, China

Abstract: Objectives The accurate evaluation of structural plane topography is a prerequisite for the study of shear mechanical properties of jointed rock mass. In order to achieve accurate characterization of structural surface roughness, Methods This study uses the first-order derivative root mean square Z₂ to characterize the two-dimensional joint profile roughness (JRC^2D), and carries out graphic optimization and coordinate extraction of 10 Barton standard profiles combined with image refinement processing technology. Then the Z₂ values of each Barton standard JRC contour are calculated at different sampling intervals SI. After analyzing the influence rule of sampling interval SI on Z₂, the Z₂, SI and JRC values of each group of data were fitted and derived in exponential function form. Results The new JRC^2D representation formula suitable for sampling interval SI∈[0.1mm, 2.0mm] was finally obtained: JRC=(129.4163Z2e0.30102SI-17.1606)0.7782, SI∈[0.1mm, 2.0mm]. Conclusions Parameter JRC_P is introduced to verify the new formula. Comparing with the calculation results of previous JRC characterization formulas, it is shown that the JRC-Z₂ characterization formula considering sampling interval SI in this paper has high accuracy in its applicable range, and the research results can provide a theoretical basis for evaluating the structural surface roughness.

Key words: Barton standard JRC profile; image refinement processing; JRC characterization; first derivative root mean square Z₂; exponential fitting