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Derivation of a Barton standard JRC characterization formula considering sampling interval
Time: 2025-07-23 Counts:

WANG G, CHEN M R, LIU T F,et al.Derivation of a Barton standard JRC characterization formula considering sampling interval[J].Journal of Henan Polytechnic University(Natural Science) ,2025,44(5):152-160.

DOI:10.16186/j.cnki.1673-9787.2024030005

Received: 2024/03/02

Revised: 2024/05/30

Published:2025/07/23

Derivation of a Barton standard JRC characterization formula considering sampling interval

Wang Gang1,2, Chen Mingrui1, Liu Tingfang1,2,3, Wang Changsheng2, Wu Xuezhen3, Guan Hui4, Chen Huiyuan5, Guan Shangshang6

1.Key Laboratory of Underground Engineering, Fujian University of Technology, Fuzhou  350118, Fujian, China;2.Key Laboratory of Civil Engineering Disaster Prevention and Mitigation, Shandong University of Science and Technology, Qingdao  266590, Shandong, China;3.College of Civil Engineering, Fuzhou University, Fuzhou  350108, Fujian, China;4.Qingdao Surveying & Mapping Institute, Qingdao  266033, Shandong, China;5.Juxian Highway Development Center, Rizhao  276599,  Shandong, China;6.China Construction Eighth Bureau Testing Technology Co., Ltd., Beijing  102488, China

Abstract: Objectives To achieve accurate characterization of the joint roughness coefficient (JRC), this study employs the root mean square of the first derivative (Z2), a statistical roughness parameter, to quantify the two-dimensional joint profile roughness (JRC2D). Methods Ten Barton standard profiles were processed using Photoshop to repair breakpoints, remove noise, and enhance pixel quality. The images were then imported into MATLAB to extract coordinate data at different sampling intervals (SI), and Z2 values were computed accordingly. The influence of SI on Z2 was analyzed, revealing that Z₂ decreases with increasing SI. An exponential function was fitted to the Z2- SI data, and the resulting expression was then regressed against JRC values.  Results A new JRC2D characterization formula applicable for SI [0.1 mm, 2.0 mm] was proposed. The parameter JRC was introduced to validate the accuracy of the formula. A comparative analysis was conducted between the proposed JRC-Z2 formula and previous JRC characterization models, with the JRC variation trends across profiles examined.  Conclusions The proposed JRC-Z2 formula, which accounts for sampling interval effects, demonstrates improved accuracy within its applicable range and more realistically reflects the roughness characteristics of the Barton standard profiles. These findings provide a theoretical reference for the precise evaluation of structural surface roughness.

Key words:Barton standard profile;structural surface roughness;sampling interval;root mean square of first derivative;exponential fitting

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