DOI https://doi.org/10.36487/ACG_repo/2465_46
Cite As:
Kotze, G, Santos De Santana, D, Mendes Machado, LR & Grix, Q 2024, 'Enhancing the calibration of elastic numerical models through stress measurements and observations of stress-induced overbreak', in P Andrieux & D Cumming-Potvin (eds),
Deep Mining 2024: Proceedings of the 10th International Conference on Deep and High Stress Mining, Australian Centre for Geomechanics, Perth, pp. 739-756,
https://doi.org/10.36487/ACG_repo/2465_46
Abstract:
In deep mines, where high stress conditions can prevail, geotechnical engineers are required to conduct excavation stability assessments and predict excavation damage proactively. The geotechnical engineer usually undertakes a numerical modelling assessment that aims to quantify the causality between mining sequence, layout and damage.
The reliability and value offering of an uncalibrated numerical model are probably similar to the reliability of parametric or sensitivity studies. It is therefore prudent to quantify the pre-mining stress state and to consider the rock mass responses with a view to enhancing the reliability of model results. Examples of responses include seismic event locations and source parameters, instrumentation data, time-dependent deformation of rock, damage in tunnels or pillars, and stress-induced sloughing.
Calibration of elastic models is based on the notion that excess stress is a direct predictor of expected plastic strain. The model calibration process considers the stress state at damage locations in a mine. The stress state can be described by pairs of major and minor principal stresses collected from the corresponding damage locations in the numerical models. To obtain a strength envelope, a curve is fitted through the pairs of data. A manual process of data appreciation is followed, where the fitted curves and interpretation of data are considered with a view to providing a simple criterion for predicting damage.
At Caraiba mine in Brazil, an initial calibration was done using cavity mine surveys and the historically accepted stress tensor. Subsequently the model input parameters were updated using actual stress measurements and then followed by an update of the initial calibration. Elastic models are quick to set up and the observational method of model calibration is relatively simple to execute. This methodology is attractive to geotechnical engineers since they have to collect rock mass response data routinely and they have limited time to conduct numerical modelling.
Keywords: stress-induced overbreak, model calibration, damage observations, elastic modelling
References:
Castro, LAM 1996, Analysis of Stress-Induced Damage Initiation around Deep Openings Excavated in a Moderately Jointed Brittle Rock Mass, PhD thesis, University of Toronto, Toronto.
Conbulat, I, Grodner, M, Lightfoot, N, Ryder, J, Essrich, F, Dlokweni, T & Prohaska, G 2006, The Determination of Loading Conditions for Crush Pillars and the Performance of Crush Pillars Under Dynamic Loading, Safety in Mines Research Advisory Committee, Johannesburg.
Diederichs, MS & Martin, CD 2010, ‘Measurement of spalling parameters from laboratory testing’, Rock Mechanics in Civil and Environmental Engineering, 1st edn, CRC Press, Boca Raton.
Diederichs, M.S., Kaiser, P.K. & Eberhardt, E. 2004, ‘Damage initiation and propagation in hard rock during tunnelling and the influence of near-face stress rotation’, International Journal of Rock Mechanics and Mining Sciences, vol. 41, no. 5,
pp. 785–812.
Ero Copper Corporation 2022, Mineral Resources and Mineral Reserves of the Caraíba Operations, Curaçá Valley, Bahia, Brazil, Ero Copper, Vancouver.
Hanks, TC & Kanamori, H 1979, ‘A moment magnitude scale’, Journal of Geophysical Research, vol. 84, no. B5, pp 2348–2350.
Harr, ME 1978, ‘Elements of probability’, Reliability-Based Design in Civil Engineering, McGraw-Hill Book Company, New York,
pp. 21–31.
Kotze, G 2022, Initial Numerical Modelling-Based Assessment of the As-Built, Planned Mining of Year 2023/2024 and the Planned Shaft Infrastructure Expansion, unpublished report to the client, Potchefstroom.
Lunder, PJ & Pakalnis, R 1997, ‘Determination of the strength of hardrock mine pillars’, Bulletin of the Canadian Institute of Mining and Metallurgy, vol. 90, pp. 51–55.
McGarr, A & Wiebols, GA 1977, ‘Influence of mine geometry and closure volume on seismicity in a deep level mine’, International Journal of Rock Mechanics and Mining Sciences and Geomechanics Abstracts, vol. 14, pp. 139–145.
Martin, CD 1997, ‘Seventeenth Canadian geotechnical colloquium: the effect of cohesion loss and stress path on brittle rock strength’, Canadian Geotechnical Journal, vol. 34, no. 5, pp. 698–725.
Martin, CD & Maybee, WG 2000, ‘The strength of hard rock pillars’, International Journal of Rock Mechanics and Mining Sciences, vol. 37, pp. 1239–1246.
Simms, C 2024, What is Occam’s Razor?, New Scientist, London, viewed 9 July 2024,
occams-razor
Wiles, TD 2005, ‘Reliability of numerical modelling predictions’, International Journal of Rock Mechanics and Mining Sciences, vol. 43, no. 3, pp. 1239–1246.
Wiles, TD 2024a, Map3D Course Notes: KB Example, Map3D International (Pty) Ltd., Toronto, viewed 17 April 2024, www.map3d.com/download
Wiles, TD 2024b, Map3D User’s Manual, Mine modelling (Pty), Canada.