Key group analysis based on DDA method for rock slope stability analysis | ||
| روش های تحلیلی و عددی در مهندسی معدن | ||
| مقاله 2، دوره 11، شماره 29، اسفند 1400، صفحه 17-25 اصل مقاله (684.46 K) | ||
| نوع مقاله: مقاله پژوهشی | ||
| شناسه دیجیتال (DOI): 10.22034/anm.2022.1976 | ||
| نویسندگان | ||
| Mir Hosein Shahami؛ Alireza Yarahmadi Bafghi* ؛ Mohammad Fatehi | ||
| Department of Mining and Metallurgical Engineering, Yazd University, Yazd, Iran | ||
| چکیده | ||
| Inhomogeneity and discontinuities play a key role in the resistance and behavior of rock masses. Today engineers have a wide range of methods to analyze the stability of rock slopes. Due to its simplicity and speed of evaluation, static analysis methods continue to play a special role in the stability assessment of jointed rock slopes. One of the most well-known static methods used in the stability analysis of rock slopes is the Key Block method (KBM), which is based on key block finding and analysis. In this method, if none of the key blocks are unstable, it implies that rock mass is stable. Occasionally, the combination of several stable blocks has led to the formation of a group of blocks that sometimes leads to instability. Therefore, the stability analysis of the jointed rock masses leads to study groups of blocks that are potentially dangerous for the stability of a rock slope. The Key Group method (KGM), with its progressive approach, finds these critical groups and focuses the stability calculations on these groups. Until now, methods SKGM, PKGM, OKGM have been proposed to remove the limitations of this method and its development. In order to increase the efficiency, accuracy, and speed of this method and to develop it in three dimensions, it is decided to combine it with one of the numerical methods. The standard Discontinuous Deformation Analysis method (DDA) is an implicit method based on the finite element method. This is a sophisticated numerical method for modeling the quasi-static and dynamic behavior of rock block systems in discontinuous rock masses. The goal of this paper is to use the potency of the numerical method of DDA to analyze the candidate key group. For this purpose, the DDA computer program was developed with Mathematica programming language and combined with the KGM software. The resulting package, after selecting the key group by the KGM method, proceeds to analyze it with the DDA method. Two examples are solved illustrating the reasonable results and the efficiency of this developed method compared to that of the original KGM and SKGM. The results validated the proper accuracy and good performance of the procedure developed in this research. | ||
| کلیدواژهها | ||
| Discontinuous Deformation Analysis method؛ Key Group method؛ RAD computer program؛ Rock slope؛ Stability analysis | ||
| عنوان مقاله [English] | ||
| Key group analysis based on DDA method for rock slope stability analysis | ||
| نویسندگان [English] | ||
| Mir Hosein Shahami؛ Alireza Yarahmadi Bafghi؛ Mohammad Fatehi | ||
| Department of Mining and Metallurgical Engineering, Yazd University, Yazd, Iran | ||
| چکیده [English] | ||
| Inhomogeneity and discontinuities play a key role in the resistance and behavior of rock masses. Today engineers have a wide range of methods to analyze the stability of rock slopes. Due to its simplicity and speed of evaluation, static analysis methods continue to play a special role in the stability assessment of jointed rock slopes. One of the most well-known static methods used in the stability analysis of rock slopes is the Key Block method (KBM), which is based on key block finding and analysis. In this method, if none of the key blocks are unstable, it implies that rock mass is stable. Occasionally, the combination of several stable blocks has led to the formation of a group of blocks that sometimes leads to instability. Therefore, the stability analysis of the jointed rock masses leads to study groups of blocks that are potentially dangerous for the stability of a rock slope. The Key Group method (KGM), with its progressive approach, finds these critical groups and focuses the stability calculations on these groups. Until now, methods SKGM, PKGM, OKGM have been proposed to remove the limitations of this method and its development. In order to increase the efficiency, accuracy, and speed of this method and to develop it in three dimensions, it is decided to combine it with one of the numerical methods. The standard Discontinuous Deformation Analysis method (DDA) is an implicit method based on the finite element method. This is a sophisticated numerical method for modeling the quasi-static and dynamic behavior of rock block systems in discontinuous rock masses. The goal of this paper is to use the potency of the numerical method of DDA to analyze the candidate key group. For this purpose, the DDA computer program was developed with Mathematica programming language and combined with the KGM software. The resulting package, after selecting the key group by the KGM method, proceeds to analyze it with the DDA method. Two examples are solved illustrating the reasonable results and the efficiency of this developed method compared to that of the original KGM and SKGM. The results validated the proper accuracy and good performance of the procedure developed in this research. | ||
| کلیدواژهها [English] | ||
| Discontinuous Deformation Analysis method, Key Group method, RAD computer program, Rock slope, Stability analysis | ||
| مراجع | ||
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[1] H. S. Duzgun, M. S. Yucemen and C. Karpuz, "A methodology for reliability-based design of rock slopes," Rock Mech Rock Eng., vol. 36, no. 2, pp. 95-120, 2003. [2] H. H. Einstein, "Uncertainty in rock mechanics and rock engineering-Then and now," in Proceedings of the 10th ISRM congress on international society for rock mechanics, 2003. [3] B. R. Fisher and E. Eberhardt, "Assessment of parameter uncertainty associated with dip slope stability analyses as a means to improve site investigations," J Geotech Geoenviron Eng., vol. 138, no. 2, pp. 166-173, 2012. [4] J. Hadjigeorgiou and J. P. Harrison, "Uncertainty and sources of error in rock engineering," in Proceedings of the 12th ISRM congress on international society for rock mechanics , 2011. [5] R. E. Hammah, T. E. Yacoub and J. H. Curran, "Probabilistic slope analysis with the finite element method," in Proceedings of the 43rd US rock mechanics symposium & 4th US-Canada rock mechanics symposium on American rock mechanics association, 2009. [6] R. Jimenez-Rodriguez, N. Sitar and J. Chacon, "System reliability approach to rock slope stability," Int J Rock Mech Min Sci., vol. 46, no. 3, pp. 847-859, 2006. [7] J. C. Jaeger, "Friction of rocks and stability of rock slopes," Geotechnique, vol. 21, no. 2, pp. 97-134, 1971. [8] H. J. Park, J. G. Um, I. Woo and J. W. Kim, "Application of fuzzy set theory to evaluate the probability of failure in rock slopes," Eng Geol., vol. 125, no. 1, pp. 92-101, 2012. [9] A. Daftaribesheli, M. Ataei and F. Sereshki, "Assessment of rock slope stability using the fuzzy slope mass rating (FSMR) system," Appl Soft Comput, vol. 11, no. 8, pp. 4465-4473, 2011. [10] J. M. Duncan, "Factors of safety and reliability in geotechnical engineering," J Geotech Geoenviron Eng., vol. 126, no. 2, pp. 307-316, 2000. [11] T. J. Davis and C. P. Keller, "Modelling uncertainty in natural resource analysis using fuzzy sets and Monte Carlo simulation: slope stability prediction," Int J Geographical Inf Sci., vol. 11, no. 5, pp. 409-434, 1997. [12] D. V. Griffiths and G. A. Fenton, "Probabilistic slope stability analysis by finite elements," J Geotech Geoenviron Eng, vol. 130, no. 5, pp. 507-518, 2004. [13] R. E. Goodman and G. H. Shi, Block Theory and its Application to Rock Engineering., New Jersey: Prentice Hall, 1985. [14] P. M. Warburton, "Vector stability analysis of an arbitrary polyhedral rock block with any number of free faces," International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol. 18, pp. 415-427, 1981. [15] G. Y. Fu, G. W. Ma, X. L. Qu and D. Huang, "Stochastic analysis of progressive failure of fractured rock masses containing non-persistent joint sets using key block analysis," Tunnelling and Underground Space Technology, vol. 51, pp. 258-269, 2016. [16] W. Wu, H. Zhu, J. S. Lin, X. Zhuang and G. Ma, "Tunnel stability assessment by 3D DDA-key block analysis," Tunnelling and Underground Space Technology, vol. 71, pp. 210-214, 2018. [17] A. Yarahmadi Bafghi and T. Verdel , "The key group method," International Journal for Numerical and Analytical Methods in Geomechanics, vol. 27, pp. 495key-g, 2003. [18] A. Yarahmadi Bafghi and T. Verdel, “Sarma based key-group method for rock slope stability analysis,” International Journal for Numerical and Analytical Methods in Geomechanics, vol. 29, p. 1019ghi A, 2005. [19] E. Emami Meibodi, A. Yarahmadi Bafghi and H. Salari Rad, “Oriented key group method in fractured rock slope stability analysis,” Journal of Mining Engineering, vol. 55, pp. 63-74, 2008. [20] M. Noroozi, S. E. Jalali and A. Yarahmadi Bafghi, "3D key-group method for slope stability analysis," International Journal for Numerical and Analytical Methods in Geomechanics, vol. 36, p. 1780–1792, 2011. [21] G. H. Shi, "Discontinuous Deformation Analysis," University of California, Berkeley, USA, 1988. [22] G. H. Shi and R. E. Goodman, "Generalization of two dimensional discontinuous deformation analysis for forward modeling," Int J Numer Anal Meth Geomech, vol. 13, pp. 359-80, 1989. [23] Shi G. H., Block system modeling by discontinuous deformation analysis, Southampton, UK: Computational Mechanics Publication, 1993. [24] H. G. Shi and R. E. Goodman, "Two dimensional discontinuous deformation analysis," Int J Numer Anal Meth. Geomech, vol. 9, pp. 541-56, 1985. [25] L. Jing, "Formulation of discontinuous deformation analysis (DDA) - an implicit discrete element model for block systems," Engineering Geology, vol. 49, no. 3-4, pp. 371-381, 1998. [26] G. Shi, "Three dimensional discontinuous deformation analyses," in 38th US Rock Mechanics Symposium, Washington, DC, 2001. [27] Fan, Zheng and Zhao, "Three-dimensional discontinuous deformation analysis based on strain-rotation decomposition," Computers and Geotechnics, vol. 95, pp. 191-210, 2018. [28] W. Wang, H. Zhang, L. Zheng, Y. Zhang, Y. Wu and S. Liu, "A new approach for modeling landslide movement over 3D topography using 3D discontinuous deformation analysis," Computers and Geotechnics, vol. 81, pp. 87-97, 2017. [29] W. Wu, H. Zho, H. Zhuang, G. Ma and Y. Cai, "A multi-shell cover algorithm for contact detection in the three dimensional discontinuous deformation analysis," Theoretical and Applied Fracture Mechanics, vol. 72, pp. 136-149, 2014 [30] M. H. Shahami, A. R. Yarahmadi Bafghi and R. Geraili Mikola, "Evaluate the capability of key-groups method development using numerical methods for finding the critical key-group in analysis of stability of rock slopes," Journal of Mining Enginearing, vol. 5, pp. 25-36, 2014. [31] H. Zheng and X. Li, "Mixed linear complementarity formulation of discontinuous deformation analysis," International Journal of Rock Mechanics & Mining Sciences, vol. 75, pp. 23-32, 2015. [32] L. Wang, H. Jiang, Z. Yang, Y. Xu and X. Zhu, "Development of discontinuous deformation analysis with displacement-dependent interface shear strength," Computers and Geotechnics, vol. 47, pp. 91-101, 2013. [33] H. Bao, Y. H. Hatzor and X. Huang, "A New Viscous Boundary Condition in the Two-Dimensional Discontinuous Deformation Analysis Method for Wave Propagation Problems," Rock Mech Rock En, vol. 45, pp. 919-928, 2012. [34] L. Jing and O. Stephansson, Fundamentals of discrete element methods for rock engineering: theory and applications, Amsterdam: Elsevier, 2007. [35] M. Moosavi and R. Grayeli, "A model for cable bolt-rock mass interaction: Integration with discontinuous deformation analysis (DDA) algorithm," International Journal of Rock Mechanics & Mining Sciences, vol. 43, pp. 661-670, 2006. [36] M. H. Shahami, A. Yarahmadi Bafghi and M. F. Marji, "Investigating the effect of external forces on the displacement accuracy of discontinuous deformation analysis (DDA) method," Computers and Geotechnics, vol. 111, pp. 313-323, 2019. | ||
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