Physical model simulation of block caving in jointed rock mass

Document Type : Research Paper

Authors

School of Mining Engineering, College of Engineering, University of Tehran, Tehran, Iran

Abstract

Incorrect estimation of undercut dimensions in the block caving method can lead to the cessation of caving operations and loss of a large portion of deposits. Numerical modeling is one of the methods for determining the minimum caving span. Numerical and physical modeling methods are useful for an accurate understanding of caving operations. Accordingly, this research focused on investigating the performance of physical and numerical modeling in determining the effects of depth and joint orientation on the minimum required caving span for the initiation and propagation of caving. The physical model was made with 1.5*1.5 square meter dimensions and consisted of travertine blocks with 4*4 square centimeter dimensions. In addition, joints were modeled with dips of 0, 90, 45, 135, 30, and 120 degrees. The physical model could simulate ground stress conditions to great depths and show the behavior of the jointed rock mass in a two-dimensional space. Further, by capturing this behavior, it was possible to compare its result with UDEC software. The results demonstrated that the number of falling blocks and the height of the caving increased by increasing the dip. Furthermore, the formation of arches due to high horizontal stress stops the caving, which will occur again with the increasing span. Although the horizontal stresses and geometrical properties of the joints affect the shape of the caving area, its shape largely follows the dip and orientation of the rock mass joints. Poor draw control causes caved ore columns, which can lead to the formation of a stable arc. Finally, the height of the caved back increases in each span by increasing the depth while decreasing the dip of the joints.

Keywords

Main Subjects


[1]. Laubscher, D. (2000). Cave Mining Handbook.
[2]. Chitombo, G. P. (2010). Cave mining: 16 years after Laubscher's 1994 paper gave mining–state of the art'. Mining Technology, 119(3), 132-141.
[3]. Rice, G. S. (1934). Ground movement from mining in Brier Hill mine, Norway, Michigan. Mining and Metallurgy, 15(325), 12-14.
[4]. Panek, L. A. (1984). Subsidence in undercut-cave operations, subsidence resulting from limited extraction of two neighboring-cave operations. Geomechanical applications in hard rock mining, 225-240.
[5]. Carlson, G., and Golden, R. (2008, June). Initiation, Growth, Monitoring, and Management of the 7210 Cave at Henderson Mine-A case study. In 5th International Conference and Exhibition on Mass Mining (Vol. 9, pp. 97-106).
[6]. Beck, D., Sharrock, G., and Capes, G. (2011). A coupled DFE-Newtonian cellular automata scheme for simulation of cave initiation. In Propagation and Induced Seismicity. 45th US Rock Mechanics/Geomechanics Symposium Held in San Francisco, CA.
[7]. Someehneshin, J., Oraee-Mirzamani, B., and Oraee, K. (2015). Analytical model determining the optimal block size in the block caving mining method. Indian Geotechnical Journal, 45(2), 156-168.
[8]. Mahtab, M. A., and Dixon, J. D. (1976). Influence of rock fractures and block boundary weakening on cavability. Trans Soc Min Eng AIME, 260(1), 6-12.
[9]. McMahon, B. K., and Kendrick, R. F. (1977). Predicting the block caving behavior of orebodies. Society of Mining Engineers of AIME.
[10]. Carter P. G. (2011). Selection Process for Hard Rock Mining. SME mining engineering Handbook (Vol. 1). SME.
[11]. Laubscher, D. H. (1990). A geomechanics classification system for the rating of rock mass in mine design. Journal of the Southern African Institute of Mining and Metallurgy, 90(10), 257-273.
[12]. Mawdesley, C., Trueman, R., and Whiten, W. J. (2001). Extending the Mathews stability graph for open–stope design. Mining Technology, 110(1), 27-39.
[13]. Stewart, S. B. V., and Forsyth, W. W. (1995). The Mathew's method for open stope design. CIM Bulletin, 88(992), 45-53.
[14]. Trueman, R., Mikula, P., Mawdesley, C. A., and Harries, N. (2000). Experience in Australia with the application of the Mathew's method for open stope design. The CIM Bulletin, 93(1036), 162-167.
[15]. Mawdesley, C. A. (2002). Predicting rock mass cavability in block caving mines.
[16]. Tollenaar, R. N. (2008). Characterization of discrete fracture networks and their influence on caveability and fragmentation (Doctoral dissertation, University of British Columbia).
[17]. Lorig, L. J., Board, M. P., Potyondy, D. O., and Coetzee, M. J. (1995, October). Numerical modelling of caving using continuum and micro-mechanical models. In Proc. of CAMI’95 Canadian Conference on Computer Applications in the Mining Industry, Montreal, Quebec, Kanada (pp. 416-424).
[18]. Brown, E T. (2003). Block Caving Geo-mechanics. The International Caving Study I. JKMRC Monograph Series in Mining and Mineral Processing 3. University of Queensland.
[19]. Gilbride, L. J., Free, K. S., and Kehrman, R. (2005, June). Modeling Block Cave Subsidence at the Molycorp, Inc., Questa Mine? A Case Study. In Alaska Rocks 2005, The 40th US Symposium on Rock Mechanics (USRMS). OnePetro.
[20]. Kalenchuk, K. S., McKinnon, S., and Diederichs, M. S. (2008). Block geometry and rock mass characterization for prediction of dilution potential into sub-level cave mine voids. International Journal of Rock Mechanics and Mining Sciences, 45(6), 929-940.
[21]. Xie, Y. S., and Zhao, Y. S. (2009). Numerical simulation of the top coal caving process using the discrete element method. International Journal of Rock Mechanics and Mining Sciences, 46(6), 983-991.
[22]. Sharrock, G., Vakili, A., Duplancic, P., and Hastings, N. (2011). Numerical analysis of subsidence for Perserverence Deeps Block Cave in Continuum and Distinct Element Numerical Modelling in Geomechanics. Sainsbury, Hart, Detournay, and Nelson (eds.), Paper, 06-03.
[23]. Gao, F., Stead, D., and Coggan, J. (2014). Evaluation of coal longwall caving characteristics using an innovative UDEC Trigon approach. Computers and Geotechnics, 55, 448-460.
[24]. Rafiee, R., Ataei, M., KhalooKakaie, R., Jalali, S. E., Sereshki, F., and Noroozi, M. (2018). Numerical modeling of influence parameters in cavabililty of rock mass in block caving mines. International Journal of Rock Mechanics and Mining Sciences, 105, 22-27.
[25]. Song, Z., and Konietzky, H. (2019). A particle-based numerical investigation on longwall top coal caving mining. Arabian Journal of Geosciences, 12(18), 1-18.
[26]. Wang, J., Wei, W., Zhang, J., Mishra, B., and Li, A. (2020). Numerical investigation on the caving mechanism with different standard deviations of top coal block size in LTCC. International Journal of Mining Science and Technology, 30(5), 583-591.
[27] Alipenhani, B., Majdi, A., and Bakhshandeh Amnieh, H. (2022). Determination of caving hydraulic radius of rock mass in the block caving method using numerical modeling and multivariate regression. Journal of Mining and Environment, doi.org/10.22044/jme.2022.11589.2149
[28]. Park, D. W., and Kicker, D. C. (1985). Physical model study of a longwall mine. Mining Science and Technology, 3(1), 51-61.
[29]. Kang, H., Li, J., Yang, J., and Gao, F. (2017). Investigation on the influence of abutment pressure on the stability of rock bolt reinforced roof strata through physical and numerical modeling. Rock Mechanics and Rock Engineering, 50(2), 387-401.
[30]. McNearny, R. L., and Abel Jr, J. F. (1993, April). Large-scale two-dimensional block caving model tests. In International Journal of rock mechanics and mining sciences and geomechanics abstracts (Vol. 30, No. 2, pp. 93-109). Pergamon.
[31]. Carmichael. P. and Hebblewhite. B. (2012). An investigation into semi-intact rock mass representation for physical modelling block caving mechanics zone. Mining education Australian Research projects review.
[32]. Cumming-Potvin, D., Wesseloo, J., Jacobsz, S. W., and Kearsley, E. (2016). Results from physical models of block caving. In 7th International Conference and Exhibition on Mass Mining (MassMin 2016), 9-11 May 2016, Sydney, New South Wales, Australia (pp. 329-340). Australasian Institute of Mining and Metallurgy.
[33]. Jacobsz, S. W., Kearsley, E. P., Cumming-Potvin, D., and Wesseloo, J. (2018, July). Modelling cave mining in the geotechnical centrifuge. In Physical Modeling in Geotechnics, The 9th International Conference on Physical Modelling in Geotechnics (ICPMG 2018) (pp. 809-814).
[34]. Bai, Q., Tu, S., and Wang, F. (2019). Characterizing the top coal cavability with hard stone band (s): insights from laboratory physical modeling. Rock Mechanics and Rock Engineering, 52(5), 1505-1521.
[35]. Heydarnoori, V., Khosravi, M. H., and Bahaaddini, M. (2020). Physical modelling of caving propagation process and damage profile ahead of the cave-back. Journal of Mining and Environment, 11(4), 1047-1058.
[36]. Rafiee, R., Ataei, M., KhaloKakaie, R., Jalali, S. E., and Sereshki, F. (2016). A fuzzy rock engineering system to assess rock mass cavability in block caving mines. Neural Computing and Applications, 27(7), 2083-2094.
[37]. Azadmehr, A., and Jalali, S. M. E. (2017). Assessment of rock mass caveability in block caving mining method, using Rock Engineering Systems (RES). Tunneling and Underground Space Engineering, 6(1), 57-78.
[38]. Rafiee, R., Ataei, M., Khalokakaie, R., Jalali, S. M. E., and Sereshki, F. (2015). Determination and assessment of parameters influencing rock mass cavability in block caving mines using the probabilistic rock engineering system. Rock Mechanics and Rock Engineering, 48(3), 1207-1220.
[39]. Mohammadi, S., Ataei, M., Kakaie, R., Mirzaghorbanali, A., and Aziz, N. (2021). A Probabilistic Model to Determine Main Caving Span by Evaluating Cavability of Immediate Roof Strata in Longwall Mining. Geotechnical and Geological Engineering, 39(3), 2221-2237.
[40]. Castro, R., Gómez, R., Pierce, M., & Canales, J. (2020). Experimental quantification of vertical stresses during gravity flow in block caving. International Journal of Rock Mechanics and Mining Sciences, 127, 104237.
[41]. Bahaaddini, M., Sharrock, G., Hebblewhite, B. K., & Mitra, R. (2012, June). Direct shear tests to model the shear behavior of rock joints by PFC2D. In 46th US Rock Mechanics/Geomechanics Symposium. OnePetro.
[42]. Bandis, S. C., Lumsden, A. C., & Barton, N. R. (1983, December). Fundamentals of rock joint deformation. In International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts (Vol. 20, No. 6, pp. 249-268). Pergamon.
[43]. Brady, B. H., & Brown, E. T. (2006). Rock mechanics: for underground mining. Springer Science & Business Media.
[44]. Weishen, Z., Yong, L., Shucai, L., Shugang, W., & Qianbing, Z. (2011). Quasi-three-dimensional physical model tests on a cavern complex under high in-situ stresses. International Journal of Rock Mechanics and Mining Sciences, 48(2), 199-209.
[45]. Fuenkajorn, K., & Phueakphum, D. (2010). Physical model simulation of shallow openings in jointed rock mass under static and cyclic loadings. Engineering Geology, 113(1-4), 81-89.
[46]. Vyazmensky, A., Elmo, D., and Stead, D. (2010). Role of rock mass fabric and faulting in the development of block caving induced surface subsidence. Rock mechanics and rock engineering, 43(5), 533-556.