Technical Papers
Sep 22, 2023

Anisotropy of Surface Morphology Characteristics of Rock Discontinuity and Its Evaluation Method

Publication: International Journal of Geomechanics
Volume 23, Issue 12

Abstract

The mechanical and hydraulic properties of rock discontinuity are anisotropic, and the main reason resides in the anisotropy of surface morphology. This study delved systematically into the anisotropic characteristics of surface morphology and its evaluation method. Among hundreds of morphology parameters, the most representative one was selected utilizing mathematical statistics and correlation analysis. Through morphology analysis of eight discontinuity specimens, the maximum deviation of roughness in each direction was proposed as an anisotropy evaluation index, serving as a bridge to establish the relationship between the anisotropic characteristics of surface morphology and shear strength. In-depth research was conducted to discuss the distribution range of controlling factors of shear strength and explore the influence of anisotropy degree and controlling factors on the prediction deviation of shear strength. Based on the aforementioned results, an anisotropy evaluation method was put forth to divide the anisotropy degree of rock discontinuity into four levels, and the prediction deviation of shear strength at each level was described in a quantitative manner. The novelty of this study is listed as follows. The existing literature lacks research on quantitative evaluation methods of anisotropic characteristics, and this study would compensate for this deficiency; this method has a valid theoretical foundation and is capable of simultaneously determining the anisotropic characteristics of morphology and shear strength; the methods concerning how to simplify surface morphology as isotropy and embed discontinuity roughness into a numerical algorithm have been proposed, respectively. These findings would provide theoretical support for the deformation control and stability analysis of rock mass in engineering.

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Data Availability Statement

All data, models, and codes generated or used during the study appear in the published article.

Acknowledgments

This work was supported by the Natural Science Foundation of Henan Province (212300410146), the Fundamental Research Funds for the Universities of Henan Province (NSFRF210327), and the Doctoral Fund of Henan Polytechnic University (Grant No. B2021-60).

Notation

The following symbols are used in this paper:
CLA
mean height;
JCS
discontinuity wall’s compressive strength;
JRC
joint roughness coefficient;
JRC0
JRC value on the standard scale;
JRCact
actual roughness;
JRCave
average roughness;
JRCi
roughness in the ith direction;
JRCn
JRC value on the real scale;
L
projected length;
L0
standard scale;
Ln
=real scale;
N
number of segments;
R1
ratio of the minimum to the maximum;
R2
standard deviation;
R3
maximum relative error;
Rp
ratio of the actual length to the projected length;
RMS
root mean square;
Rz
undulation amplitude;
Z2
root mean square of the first deviation of discontinuity profiles;
Δx
sampling interval;
δ
calculation deviation;
δτ
prediction deviations;
σc
uniaxial compressive strength;
σn
normal stress;
θmax/(C+1)
directional roughness metric;
λ
shrinkage proportion;
τp
peak shear strength; and
φb
basic friction angle.

References

Alejano, L. R., J. González, and J. Muralha. 2012. “Comparison of different techniques of tilt testing and basic friction angle variability assessment.” Rock Mech. Rock Eng. 45: 1023–1035. https://doi.org/10.1007/s00603-012-0265-7.
Ankah, M. L. Y., D. T. Sunkpal, X. Zhao, and P. H. S. W. Kulatilake. 2022. “Role of heterogeneity on joint size effect, and influence of anisotropy and sampling interval on rock joint roughness quantification.” Geomech. Geophys. Geo-Energy Geo-Resour. 8 (3): 101. https://doi.org/10.1007/s40948-022-00413-2.
Barton, N., S. Bandis, and K. Bakhtar. 1985. “Strength, deformation and conductivity coupling of rock joints.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 22 (3): 121–140. https://doi.org/10.1016/0148-9062(85)93227-9.
Barton, N., and V. Choubey. 1977. “The shear strength of rock joints in theory and practice.” Rock Mech. Rock Eng. 10: 1–54. https://doi.org/10.1007/BF01261801.
Belem, T., F. Homand-Etienne, and M. Souley. 2000. “Quantitative parameters for rock joint surface roughness.” Rock Mech. Rock Eng. 33 (4): 217–242. https://doi.org/10.1007/s006030070001.
Chen, X., Y. Zeng, Y. Ye, H. Sun, Z. Tang, and X. Zhang. 2021. “A simplified form of Grasselli’s 3D roughness measure θmax/(C+1).” Rock Mech. Rock Eng. 54 (8): 4329–4346. https://doi.org/10.1007/s00603-021-02512-0.
Chen, Y., T. Yin, Q. Li, D. Zhuang, Y. Wu, F. Jin, and Z. Yang. 2023. “Experimental investigation on the fracture surface features of heat-treated red sandstone containing fissure under constant amplitude low cycle impact using 3D digital reconstruction.” Eng. Fract. Mech. 277: 109002. https://doi.org/10.1016/j.engfracmech.2022.109002.
Dou, Z., T. Gao, Z. Zhao, J. Li, Q. Yang, and S. Yi. 2021. “Effect of immersion duration on shear behavior of granite fractures.” Rock Mech. Rock Eng. 54 (9): 4809–4823. https://doi.org/10.1007/s00603-021-02534-8.
Du, S.-G., H. Lin, R. Yong, and G.-J. Liu. 2022. “Characterization of joint roughness heterogeneity and its application in representative sample investigations.” Rock Mech. Rock Eng. 55 (6): 3253–3277. https://doi.org/10.1007/s00603-022-02837-4.
Gheibi, A., H. Li, and A. Hedayat. 2021. “Detection of seismic precursors in converted ultrasonic waves to shear failure of natural sandstone rock joints.” Rock Mech. Rock Eng. 54 (7): 3611–3627. https://doi.org/10.1007/s00603-021-02507-x.
Gnirk, P. F., and J. B. Cheatham. 1965. “An experimental study of single bittooth penetration into dry rock at confining pressures 0 to 5,000 psi.” Soc. Pet. Eng. J. 5 (2): 117–130. https://doi.org/10.2118/1051-PA.
Grasselli, G. 2001. “Shear strength of rock joints based on quantified surface description.” Ph.D. thesis, Dept. of Civil Engineering, Swiss Federal Institute of Technology.
Heng, S., Y. Chen, X. Li, S. Hao, and T. Rong. 2023. “Analytical solution for shear stress distribution on the interface between different rocks under direct shear.” Int. J. Geomech. 23 (5): 04023030. https://doi.org/10.1061/IJGNAI.GMENG-8160.
Huang, M., C. Hong, C. Ma, Z. Luo, and S. Du. 2020. “Characterization of rock joint surface anisotropy considering the contribution ratios of undulations in different directions.” Sci. Rep. 10: 17117. https://doi.org/10.1038/s41598-020-74229-z.
Huang, M., D. Liu, H. Weng, C. Hong, Z. Tao, and Y. Huang. 2023. “Size effect of anisotropic rock joint with two-order roughness.” Geomech. Geophys. Geo-Energy Geo-Resour. 9 (1): 8. https://doi.org/10.1007/s40948-023-00552-0.
Jang, H.-S., Q.-Z. Zhang, S.-S. Kang, and B.-A. Jang. 2018. “Determination of the basic friction angle of rock surfaces by tilt tests.” Rock Mech. Rock Eng. 51: 989–1004. https://doi.org/10.1007/s00603-017-1388-7.
Kim, T., and S. Jeon. 2019. “Experimental study on shear behavior of a rock discontinuity under various thermal, hydraulic and mechanical conditions.” Rock Mech. Rock Eng. 52 (7): 2207–2226. https://doi.org/10.1007/s00603-018-1723-7.
Kulatilake, P. H. S. W., G. Shou, T. H. Huang, and R. M. Morgan. 1995. “New peak shear strength criteria for anisotropic rock joints.” Int. J. Rock Mech. Min. Sci. Geomech. Abstr. 32 (7): 673–697. https://doi.org/10.1016/0148-9062(95)00022-9.
Kulatilake, P. H. S. W., S. Shreedharan, T. Sherizadeh, B. Shu, Y. Xing, and P. He. 2016. “Laboratory estimation of rock joint stiffness and frictional parameters.” Geotech. Geol. Eng. 34: 1723–1735. https://doi.org/10.1007/s10706-016-9984-y.
Le, H.-K., W.-C. Huang, M.-C. Weng, and W.-J. Huang. 2022. “Exploring effect of microproperties on shear strength of rock joints through physical and numerical modeling.” Int. J. Geomech. 22 (8): 04022112. https://doi.org/10.1061/(ASCE)GM.1943-5622.0002432.
Lee, Y.-K., J.-W. Park, and J.-J. Song. 2014. “Model for the shear behavior of rock joints under CNL and CNS conditions.” Int. J. Rock Mech. Min. Sci. 70 (9): 252–263. https://doi.org/10.1016/j.ijrmms.2014.05.005.
Li, B., Y. Mo, L. Zou, and F. Wu. 2022a. “An extended hyperbolic closure model for unmated granite fractures subject to normal loading.” Rock Mech. Rock Eng. 55 (7): 4139–4158. https://doi.org/10.1007/s00603-022-02862-3.
Li, Y., Y. Cui, Y. Gan, and Q. Zhang. 2023a. “Investigation of the real contact area of tensile fractures with different normal stresses and sizes by using pressure-sensitive films.” Eng. Geol. 314: 107010. https://doi.org/10.1016/j.enggeo.2023.107010.
Li, Y., X. Du, and Y. Ji. 2022b. “Prediction of the transitional normal stress of rock joints under shear.” Int. J. Rock Mech. Min. Sci. 159: 105203. https://doi.org/10.1016/j.ijrmms.2022.105203.
Li, Y., G. Su, X. Liu, L. Wang, G. Cao, and J. Pang. 2023b. “Laboratory study of the effects of grouted rebar bolts on shear failure of structural planes in deep hard rocks.” Int. J. Rock Mech. Min. Sci. 162: 105308. https://doi.org/10.1016/j.ijrmms.2022.105308.
Liu, H., Q. Liu, H. Ma, and J. Fish. 2021. “A novel GPGPU-parallelized contact detection algorithm for combined finite-discrete element method.” Int. J. Rock Mech. Min. Sci. 144: 104782. https://doi.org/10.1016/j.ijrmms.2021.104782.
Liu, Q., Y. Tian, D. Liu, and Y. Jiang. 2017. “Updates to JRC-JCS model for estimating the peak shear strength of rock joints based on quantified surface description.” Eng. Geol. 228: 282–300. https://doi.org/10.1016/j.enggeo.2017.08.020.
Luo, Y., Y. Wang, H. Guo, X. Liu, Y. Luo, and Y. Liu. 2022. “Relationship between joint roughness coefficient and statistical roughness parameters and its sensitivity to sampling interval.” Sustainability 14 (20): 13597. https://doi.org/10.3390/su142013597.
Ma, C., G. Tan, Z. Lv, W. Yang, and J. Zhang. 2023. “Fracture mechanism of sandstone under triaxial extension at different loading rates.” Rock Mech. Rock Eng. 56: 3429–3450. https://doi.org/10.1007/s00603-023-03246-x.
Ríos-Bayona, F., F. Johansson, J. Larsson, and D. Mas-Ivars. 2022. “Peak shear strength of natural, unfilled rock joints in the field based on data from drill cores—A conceptual study based on large laboratory shear tests.” Rock Mech. Rock Eng. 55 (8): 5083–5106. https://doi.org/10.1007/s00603-022-02913-9.
Rostamsowlat, I., B. Evans, J. Sarout, J. Rostami, and H.-J. Kwon. 2022. “Determination of internal friction angle of rocks using scratch test with a blunt PDC cutter.” Rock Mech. Rock Eng. 55: 7859–7880. https://doi.org/10.1007/s00603-022-03037-w.
Song, D., and H. Du. 2023. “Numerical investigation of the evolution process of an open-pit mine landslide using discrete-element method.” Int. J. Geomech. 23 (6): 04023054. https://doi.org/10.1061/IJGNAI.GMENG-7568.
Song, L. B., Q. Q. Kang, S. G. Du, Z. Zhong, G. Wang, X. K. Wang, G. S. Han, and J. S. Zhao. 2021. “Anisotropy mechanism of shear strength based on wear and shear failure evolution of asperities of joint surface.” Rock Soil Mech. 42 (9): 2331–2343. https://doi.org/10.16285/j.rsm.2021.0100.
Tang, Z. C., and C. Z. Yan. 2022. “New empirical criterion for evaluating peak shear strength of unmatched discontinuity with different joint wall compressive strengths.” Rock Mech. Rock Eng. 55 (9): 5323–5343. https://doi.org/10.1007/s00603-022-02939-z.
Tatone, B. S. A. 2014. “Investigating the evolution of rock discontinuity asperity degradation and void space morphology under direct shear.” Ph.D. thesis, Dept. of Civil Engineering, Univ. of Toronto.
Wang, C., R. Yong, Z. Luo, S. Du, M. Karakus, and C. Huang. 2023. “A novel method for determining the three-dimensional roughness of rock joints based on profile slices.” Rock Mech. Rock Eng. 56 (6): 4303–4327. https://doi.org/10.1007/s00603-023-03274-7.
Wang, L., K. Duan, Q. Zhang, X. Li, and R. Jiang. 2022. “Study of the dynamic fracturing process and stress shadowing effect in granite sample with two holes based on SCDA fracturing method.” Rock Mech. Rock Eng. 55 (3): 1537–1553. https://doi.org/ 10.1007/s00603-021-02728-0.
Zhang, G., M. Karakus, H. Tang, Y. Ge, and Q. Jiang. 2017. “Estimation of joint roughness coefficient from three-dimensional discontinuity surface.” Rock Mech. Rock Eng. 50: 2535–2546. https://doi.org/10.1007/s00603-017-1264-5.
Zhang, X.-P., W.-Q. Xie, K.-Y. Cai, Q.-S. Liu, J. Wu, and W.-W. Li. 2021. “Evaluation of rock muck using image analysis and its application in the TBM tunneling.” Tunnelling Underground Space Technol. 113: 103974. https://doi.org/10.1016/j.tust.2021.103974.
Zhou, H., G. T. Cheng, Y. Zhu, J. Chen, J. J. Lu, G. J. Cui, and P. Q. Yang. 2019. “Experimental study on shear characteristics of regular toothed structural planes of marble.” Rock Soil Mech. 40 (3): 852–860. https://doi.org/10.16285/j.rsm.2017.0964.

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Go to International Journal of Geomechanics
International Journal of Geomechanics
Volume 23Issue 12December 2023

History

Received: Nov 11, 2022
Accepted: Jun 10, 2023
Published online: Sep 22, 2023
Published in print: Dec 1, 2023
Discussion open until: Feb 22, 2024

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Yongchao Tian [email protected]
School of Civil Engineering, Henan Polytechnic Univ., Jiaozuo 454003, Henan, China. Email: [email protected]

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