Photogrammetry and Monte Carlo Simulation based statistical characterization of rock mass discontinuity parameters

Document Type : Research Paper

Authors

School of Material and Minerals Resources Engineering, Universiti Sains Malaysia, Nebong tibal, penang, Malaysia

Abstract

Discontinuities within the rock mass are present in a wide range of networks. Their characterization and analysis exist with considerable diversity. Prior research appraises the significance of mechanical discontinuities and their effect on geotechnical structures and deficient with integral discontinuities. The variability and uncertainty related to rock mass discontinuity parameters such as spacing, persistence and aperture size cannot be present in a single value; it exhibits variability between specific range values. The use of a statistical method to present the discontinuity parameters provides a basis for Monte Carlo (MC) based stochastic modeling of discontinuity parameters to evaluate the stability of rock mass. The road cut slope of Bukit Merah, Malaysia, was investigated using close-range photogrammetry. Details of high precision rock mass discontinuities (mechanical and integral) parameters such as spacing, persistence and aperture were captured. To evaluate the best fit distribution for discontinuity parameters, Chi-Square test, Modified Kolmogorov Smirnov (K-S) and Anderson-Darling tests were employed. According to the findings, the discontinuity spacing is subjected to a lognormal distribution. In contrast, discontinuity persistence and aperture size followed loglogistic distribution. Furthermore, the Monte Carlo simulation (MCS) is a promising approach for assessing the variability and uncertainty of discontinuity parameter relationships.

Keywords


[1] Bao, H., Y. Zhai, H. Lan, K. Zhang, Q. Qi and C. Yan (2019). Distribution characteristics and controlling factors of vertical joint spacing in sand-mud interbedded strata. Journal of Structural Geology 128: 103886.
[2] Brown, E. (1981). ISRM suggested methods. Rock characterization testing and monitoring. London: Royal School of Mines.
[3] Cai, M. (2011). Rock mass characterization and rock property variability considerations for tunnel and cavern design. Rock mechanics and rock engineering 44(4): 379-399.
[4] Devkota, K., G. Kim, H. Lee and J. Ham (2009). Characteristics of discontinuity spacing in a rock mass. system 5: 6.
[5] Ghamgosar, M., P. Stewart and N. Erarslan (2015). Investigation the Effect of Cyclic Loading on Fracture Propagation in Rocks by Using Computed Tomography (CT) Techniques. 49th US Rock Mechanics/Geomechanics Symposium, American Rock Mechanics Association.
[6] Hack, H. R. G. (2020). Weathering, Erosion, and Susceptibility to Weathering. Soft Rock Mechanics and Engineering, Springer: 291-333.
[7] Hudson, J. and S. Priest (1983). Discontinuity frequency in rock masses. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Elsevier.
[8] Park, H.-J., T. R. West and I. Woo (2005). Probabilistic analysis of rock slope stability and random properties of discontinuity parameters, Interstate Highway 40, Western North Carolina, USA. Engineering Geology 79(3-4): 230-250.
[9] Park, H. and T. West (2001). Development of a probabilistic approach for rock wedge failure. Engineering Geology 59(3-4): 233-251.
[10] Priest, S. D. and J. Hudson (1976). Discontinuity spacings in rock. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Elsevier.
[11] Salvini, R., C. Vanneschi, J. S. Coggan and G. Mastrorocco (2020). Evaluation of the Use of UAV Photogrammetry for Rock Discontinuity Roughness Characterization. ROCK MECHANICS AND ROCK ENGINEERING.
[12] Sari, M. (2009). The stochastic assessment of strength and deformability characteristics for a pyroclastic rock mass. International Journal of Rock Mechanics and Mining Sciences 46(3): 613-626.
[13] Sari, M., C. Karpuz and C. Ayday (2010). Estimating rock mass properties using Monte Carlo simulation: Ankara andesites. Computers & Geosciences 36(7): 959-969.
[14] Shah, K. S., M. H. bin Mohd Hashim, M. Z. Emad, K. S. bin Ariffin, M. Junaid and N. M. Khan (2020). Effect of particle morphology on mechanical behavior of rock mass. Arabian Journal of Geosciences 13(15): 1-17.
[15] Shah, K. S., M. Mohd Hashim, K. Ariffin and N. Nordin (2020). A Preliminary Assessment of Rock Slope Stability in Tropical Climates: A Case Study at Lafarge Quarry, Perak, Malaysia. Journal of Mining and Environment 11(3): 661-673.
[16] Shah, K. S., M. H. B. Mohd Hashim and K. S. B. Ariffin (2021). Monte Carlo Simulation (MCS) based uncertainty integration into rock particle shape descriptors distributions. Journal of Mining and Environment.
[17] Shang, J. (2020). Persistence and tensile strength of incipient rock discontinuities. ISRM International Symposium-EUROCK 2020, International Society for Rock Mechanics and Rock Engineering.
[18] Shang, J., L. West, S. Hencher and Z. Zhao (2018). Tensile strength of large-scale incipient rock joints: a laboratory investigation. Acta Geotechnica 13(4): 869-886.
[19] Stavropoulou, M. (2014). Discontinuity frequency and block volume distribution in rock masses. International Journal of Rock Mechanics and Mining Sciences 65: 62-74.
[20] Tating, F., R. Hack and V. Jetten (2015). Weathering effects on discontinuity properties in sandstone in a tropical environment: case study at Kota Kinabalu, Sabah Malaysia. Bulletin of Engineering Geology and the Environment 74(2): 427-441.
[21] Tating, F. F., H. R. G. Hack and V. G. Jetten (2019). Influence of weathering-induced iron precipitation on properties of sandstone in a tropical environment. Quarterly Journal of Engineering Geology and Hydrogeology 52(1): 46-60.
[22] Usop, N. F. (2014). General Geology of northern Gunung Semanggol, Bukit Merah, Taiping with emphasis on Tectono-Stratigraphic Evolution of Semanggol Formation.
[23] Wang, P., F. Ren and M. Cai (2020). Influence of joint geometry and roughness on the multiscale shear behaviour of fractured rock mass using particle flow code. Arabian Journal of Geosciences 13(4): 165.
[24] Weibull, W. (1939). A statistical theory of strength of materials. IVB-Handl.
[25] Wong, L. N. Y., V. S. K. Lai and T. P. Y. Tam (2018). Joint spacing distribution of granites in Hong Kong. Engineering Geology 245: 120-129.
[26] Zhang, W., Z. Lan, Z. Ma, C. Tan, J. Que, F. Wang and C. Cao (2020). Determination of statistical discontinuity persistence for a rock mass characterized by non-persistent fractures. International Journal of Rock Mechanics and Mining Sciences 126: 104177.