A Novel Discontinuity Roughness Parameter and Its Correlation with Joint Roughness Coefficients

Joint roughness determination is a fundamental issue in many areas of rock engineering, because joint roughness has significant influences on mechanical properties and deformation behavior of rock masses. Available models suggested in the literature neglected combined effects of shear direction, sca...

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Main Authors: Huizhen Zhang, Changsuo Zhang, Zejin Yang, Zhiqiang Li, Chenlong Wang
Format: Article
Language:English
Published: MDPI AG 2021-11-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/22/7631
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author Huizhen Zhang
Changsuo Zhang
Zejin Yang
Zhiqiang Li
Chenlong Wang
author_facet Huizhen Zhang
Changsuo Zhang
Zejin Yang
Zhiqiang Li
Chenlong Wang
author_sort Huizhen Zhang
collection DOAJ
description Joint roughness determination is a fundamental issue in many areas of rock engineering, because joint roughness has significant influences on mechanical properties and deformation behavior of rock masses. Available models suggested in the literature neglected combined effects of shear direction, scale of rock discontinuities, inclination angle, and amplitude of asperities during the roughness calculations. The main goals of this paper are to establish a comprehensive parameter that considers the characteristics of the size effect, anisotropy, and point spacing effect of the discontinuity roughness, and to investigate the correlation between the proposed comprehensive parameter and joint roughness coefficients. In this work, the Barton ten standard profiles are digitally represented, then the morphological characteristics of the discontinuity profiles are extracted. A comprehensive parameter that considers the characteristics of the size effect, anisotropy, and point spacing effect of the discontinuity roughness is established, and its correlation with joint roughness coefficients (JRC) is investigated. The correlation between the proposed discontinuity roughness parameter and the joint roughness coefficients can predict the JRC value of the natural discontinuities with high accuracy, which provides tools for comprehensively characterizing the roughness characteristics of rock discontinuities. The roughness index <inline-formula><math display="inline"><semantics><mrow><msub><mi>R</mi><mrow><mi>v</mi><mi>h</mi><mo stretchy="false">[</mo><mo>−</mo><msup><mrow><mn>30</mn></mrow><mo>∘</mo></msup><mo>,</mo><mn>0</mn><mo stretchy="false">]</mo></mrow></msub></mrow></semantics></math></inline-formula> reflects the gentle slope characteristics of the rock discontinuity profiles in the shear direction, which ignores the segments with steep slopes greater than 30° on the discontinuity profiles. The influence of steep slope segments greater than 30° should be considered for the roughness anisotropy parameter in the future.
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spelling doaj.art-613d606338874dd19719a13149c4eac32023-11-22T23:11:06ZengMDPI AGEnergies1996-10732021-11-011422763110.3390/en14227631A Novel Discontinuity Roughness Parameter and Its Correlation with Joint Roughness CoefficientsHuizhen Zhang0Changsuo Zhang1Zejin Yang2Zhiqiang Li3Chenlong Wang4Shanxi College of Technology, Shuozhou 036012, Shanxi, ChinaCollege of Mining Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, ChinaCollege of Mining Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, ChinaCollege of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, ChinaCollege of Mechanical and Vehicle Engineering, Taiyuan University of Technology, Taiyuan 030024, Shanxi, ChinaJoint roughness determination is a fundamental issue in many areas of rock engineering, because joint roughness has significant influences on mechanical properties and deformation behavior of rock masses. Available models suggested in the literature neglected combined effects of shear direction, scale of rock discontinuities, inclination angle, and amplitude of asperities during the roughness calculations. The main goals of this paper are to establish a comprehensive parameter that considers the characteristics of the size effect, anisotropy, and point spacing effect of the discontinuity roughness, and to investigate the correlation between the proposed comprehensive parameter and joint roughness coefficients. In this work, the Barton ten standard profiles are digitally represented, then the morphological characteristics of the discontinuity profiles are extracted. A comprehensive parameter that considers the characteristics of the size effect, anisotropy, and point spacing effect of the discontinuity roughness is established, and its correlation with joint roughness coefficients (JRC) is investigated. The correlation between the proposed discontinuity roughness parameter and the joint roughness coefficients can predict the JRC value of the natural discontinuities with high accuracy, which provides tools for comprehensively characterizing the roughness characteristics of rock discontinuities. The roughness index <inline-formula><math display="inline"><semantics><mrow><msub><mi>R</mi><mrow><mi>v</mi><mi>h</mi><mo stretchy="false">[</mo><mo>−</mo><msup><mrow><mn>30</mn></mrow><mo>∘</mo></msup><mo>,</mo><mn>0</mn><mo stretchy="false">]</mo></mrow></msub></mrow></semantics></math></inline-formula> reflects the gentle slope characteristics of the rock discontinuity profiles in the shear direction, which ignores the segments with steep slopes greater than 30° on the discontinuity profiles. The influence of steep slope segments greater than 30° should be considered for the roughness anisotropy parameter in the future.https://www.mdpi.com/1996-1073/14/22/7631novel discontinuity roughness parameterjoint roughness coefficientscorrelationBarton ten standard profilesanisotropy of roughness
spellingShingle Huizhen Zhang
Changsuo Zhang
Zejin Yang
Zhiqiang Li
Chenlong Wang
A Novel Discontinuity Roughness Parameter and Its Correlation with Joint Roughness Coefficients
Energies
novel discontinuity roughness parameter
joint roughness coefficients
correlation
Barton ten standard profiles
anisotropy of roughness
title A Novel Discontinuity Roughness Parameter and Its Correlation with Joint Roughness Coefficients
title_full A Novel Discontinuity Roughness Parameter and Its Correlation with Joint Roughness Coefficients
title_fullStr A Novel Discontinuity Roughness Parameter and Its Correlation with Joint Roughness Coefficients
title_full_unstemmed A Novel Discontinuity Roughness Parameter and Its Correlation with Joint Roughness Coefficients
title_short A Novel Discontinuity Roughness Parameter and Its Correlation with Joint Roughness Coefficients
title_sort novel discontinuity roughness parameter and its correlation with joint roughness coefficients
topic novel discontinuity roughness parameter
joint roughness coefficients
correlation
Barton ten standard profiles
anisotropy of roughness
url https://www.mdpi.com/1996-1073/14/22/7631
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