Novel Evaluation Method of 3D Joint Roughness Based on Random Field Theory
Publication: International Journal of Geomechanics
Volume 24, Issue 11
Abstract
The roughness of a joint has a significant influence on the physical and mechanical properties of rock mass, and it is a hot and challenging research topic to determine the joint roughness quickly and accurately. In this paper, based on the random field theory and the traditional roughness evaluation index Z2s, a novel three-dimensional (3D) joint roughness evaluation index named is proposed. The novel index involves three parameters: the standard deviation (SD) and the scales of fluctuation (SOF) of elevation distribution, which are related to the joint shape, and the sampling interval (SI), which is determined by the sampling method. The 3D joint is generated by the random field method, and the variation of with SD, SOF, and SI is investigated. The results show that the roughness of the 3D joint generated by the random field method has good robustness, with a maximum fluctuation error of 3.87%. The roughness increases linearly with the increase of SD and decreases exponentially with the increase of SOF and SI, and the fitting formula is obtained. On this basis, the normalization method of is put forward to eliminate the influence of SI on roughness, and the validity of is verified by the actual joint in the public database. Finally, the application prospect of this method in the preparation of joint specimens is discussed, and the corresponding 3D surfaces are given according to the 10 typical joint profiles provided by Barton. This paper contributes a quantitative roughness evaluation index and a method for generating the 3D joint, which can serve as a basis for model experiments and numerical calculations.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the corresponding author upon reasonable request.
Acknowledgments
The work reported in this paper is financially supported by the National Natural Science Foundation of China (No. U21A20159), the National Key R&D Program of China (2023YFC3081200), the Youth Innovation Promotion Association CAS (No. 2021325), and the National Natural Science Foundation of China (No. 52179117). A special acknowledgment should be expressed to the China-Pakistan Joint Research Center on Earth Sciences that supported the implementation of this study.
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Information & Authors
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Published In
International Journal of Geomechanics
Volume 24 • Issue 11 • November 2024
Copyright
© 2024 American Society of Civil Engineers.
History
Received: Nov 25, 2023
Accepted: May 7, 2024
Published online: Aug 23, 2024
Published in print: Nov 1, 2024
Discussion open until: Jan 23, 2025
ASCE Technical Topics:
- Engineering fundamentals
- Engineering mechanics
- Field tests
- Geomechanics
- Geotechnical engineering
- Joints
- Material mechanics
- Material properties
- Materials engineering
- Mechanical properties
- Models (by type)
- Numerical models
- Rock masses
- Rock mechanics
- Rock properties
- Structural engineering
- Structural members
- Structural systems
- Tests (by type)
- Three-dimensional models
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