Authors: Woodward, K; Wesseloo, J; Potvin, Y

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Woodward, K, Wesseloo, J & Potvin, Y 2017, 'The spatial and temporal assessment of clustered and time-dependent seismic responses to mining', in J Wesseloo (ed.), Deep Mining 2017: Proceedings of the Eighth International Conference on Deep and High Stress Mining, Australian Centre for Geomechanics, Perth, pp. 157-171,

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The phenomenon of seismicity is observed in many hard rock underground mines around the world. The potential for seismic events to damage underground excavations can create a significant hazard to mining personnel, equipment, and infrastructure. The management of seismic hazard is an essential component in minimising the political, social, and economic risks associated with mining. The effective management of seismic hazard is underpinned by a sufficient understanding of the magnitude, spatial, and temporal characteristics of seismicity. These characteristics of seismicity are controlled by causative seismic source mechanisms within a mine and are related to stress conditions, rock mass strength, excavations, geology, and geological features. This paper considers spatially clustered seismicity, which is generated by a timedependent rock mass failure process. Seismicity of this nature is routinely observed following blasting or large seismic events and is referred to as a ‘seismic response’ within this paper. There are numerous interrelated factors that can influence the characteristics of seismic responses and this makes it difficult to establish meaningful correlations with causative processes. Furthermore, the management of seismic response hazard has the tendency to rely on the sitespecific experience, which has inherent limitations. These areas of research can be partly addressed by the quantification of seismic responses that allows for the development of an objective understanding of seismic response hazard. This paper presents a general outline of a recently published methodology for the assessment of seismic responses that concurrently examines the spatial and temporal characteristics of these responses. A general discussion on the major considerations when applying the method is provided in this paper. The benefits of the quantification of seismic responses are illustrated by several case studies. These studies assess individual responses and consider the historical distribution of response characteristics for a mining environment.

Keywords: seismicity, short-term, response, spatial, temporal, delineation, quantification

Akaike, H 1974, ‘A new look at the statistical model identification’, IEEE Transactions on Automatic Control, vol. 19, no. 6,
pp. 716–723.
Amelung, F & King, G 1997, ‘Earthquake scaling laws for creeping and non-creeping faults’, Geophysical Research Letters, vol. 24, no. 5, pp. 507–510.
Anderson, TW & Darling, DA 1954, ‘A test of goodness of fit’, American Statistical Association, vol. 49, no. 268, pp. 765–769.
Cho, NF, Tiampo, KF, McKinnon, SD, Vallejos, JA, Klein, W & Dominguez, R 2010, ‘A simple metric to quantify seismicity clustering’, Nonlinear Processes in Geophysics, vol. 17, no. 4, pp. 293–302.
Dieterich, J 1994, ‘A constitutive law for rate of earthquake production and its application to earthquake clustering’, Geophysical Research: Solid Earth (1978–2012), vol. 99, no. B2, pp. 2601–2618.
Enescu, B, Mori, J, Miyazawa, M & Kano, Y 2009, ‘Omori-Utsu Law c-values associated with recent moderate earthquakes in Japan’, Bulletin of the Seismological Society of America, vol. 99, no. 2A, pp. 884–891.
Eremenko, VA, Eremenko, AA, Rasheva, SV & Turuntaev, SB 2009, ‘Blasting and the man-made seismicity in the Tashtagol mining area’, Mining Science, vol. 45, no. 5, pp. 468–474.
Ester, M, Kriegel, H, Sander, J & Xu, X 1996, ‘A density-based algorithm for discovering clusters in large spatial databases with noise’, Knowledge Discovery and Data Mining, vol. 96, no. 34, pp. 226–231.
Falmagne, V 2001, Quantification of rock mass degradation using micro-seismic monitoring and applications for mine design, PhD thesis, Queen's University, Kingston.
Frohlich, C & Davis, SD 1990, ‘Single-link cluster analysis as a method to evaluate spatial and temporal properties of earthquake catalogues’, Geophysical Journal International, vol. 100, no. 1, pp. 19–32.
Gasperini, P & Lolli, B 2006, ‘Correlation between the parameters of the aftershock rate equation: Implications for the forecasting of future sequences’, Physics of the Earth and Planetary Interiors, vol. 156, no. 1, pp. 41–58.
Gasperini, P & Lolli, B 2009, ‘An empirical comparison among aftershock decay models’, Physics of the Earth and Planetary Interiors, vol. 175, no. 3, pp. 183–193.
Gross, SJ & Kisslinger, C 1994, ‘Tests of models of aftershock rate decay’, Bulletin of the Seismological Society of America, vol. 84, no 5, pp. 1571–1579.
Heal, D 2007, ‘Perilya Broken Hill - investigation of re-entry times following production blasts’, Mine Seismicity and Rockburst Risk Management Project, Australian Centre for Geomechanics, Perth.
Helmstetter, A, Kagan, YY & Jackson, DD 2005, ‘Importance of small earthquakes for stress transfers and earthquake triggering’, Geophysical Research: Solid Earth (1978–2012), vol. 110, no. B5, pp. 1–13.
Hills, PB & Penney, AR 2008, ‘Management of seismicity at the Beaconsfield gold mine, Tasmania’, Proceedings of the 10th Underground Operators’ Conference, Australasian Institute of Mining and Metallurgy, Carlton South, pp. 157–170.
Hudyma, M 2008, Analysis and Interpretation of Clusters of Seismic Events in Mines, PhD thesis, The University of Western Australia, Perth.
Jain, AK, Murty, MN & Flynn, PJ 1999, ‘Data clustering: a review’, ACM Computing Surveys, vol. 31, no. 3, pp. 264–323.
Kagan, YY 2004, ‘Short-term properties of earthquake catalogs and models of earthquake source’, Bulletin of the Seismological Society of America, vol. 94, no. 4, pp. 1207–1228.
Kagan, YY 2006, ‘Why does theoretical physics fail to explain and predict earthquake occurrence?’, in P Bhattacharyya & BK Chakrabarti (eds), Modelling Critical and Catastrophic Phenomena in Geoscience: A Statistical Physics Approach, SpringerVerlag Berlin Heidelberg, Heidelberg, pp. 303–359.
Kagan, YY & Jackson, DD 1991, ‘Long-term earthquake clustering’, Geophysical Journal International, vol. 104, no. 1, pp. 117–133.
Kgarume, T 2010, Mine Aftershocks and Implications for Seismic Hazard Assessment, MSc thesis, University of the Witwatersrand, Johannesburg.
Kgarume, T, Spottiswoode, S & Durrheim, R 2010a, ‘Statistical properties of mine tremor aftershocks’, Pure and Applied Geophysics, vol. 167, no. 1, pp. 107–117.
Kgarume, TE, Spottiswoode, SM & Durrheim, RJ 2010b, ‘Deterministic properties of mine tremor aftershocks’, in M Van Sint Jan & Y Potvin (eds), 5th International Seminar on Deep and High Stress Mining, Australian Centre for Geomechanics, Perth, pp. 227–237.
Kisslinger, C 1993, ‘The stretched exponential function as an alternative model for aftershock decay rate’, Geophysical Research: Solid Earth (1978–2012), vol. 98, no. B2, pp. 1913–1921.
Kriegel, H, Kröger, P, Sander, J & Zimek, A 2011, ‘Density-based clustering’, Wiley Interdisciplinary Reviews: Data Mining and Knowledge Discovery, vol. 1, no. 3, pp. 231–240.
Kwiatek, G 2004, ‘A search for sequences of mining-induced seismic events at the Rudna Copper Mine in Poland’, Acta Geophysica Polonica, vol. 52, no. 2, pp. 115–171.
Larsson, K 2004, ‘Mining induced seismicity in Sweden’, Licentiate, Luleå University of Technology, Luleå.
Legge, NB & Spottiswoode, SM 1987, ‘Fracturing and microseismicity ahead of a deep gold mine stope in the pre-remnant and remnant stages of mining’, in G Herget & S Vongpaisal (eds), Proceedings of the 6th International Congress on Rock Mechanics, Balkema, Rotterdam, pp. 1071–1077.
Lewis, PAW 1961, ‘Distribution of the Anderson-Darling statistic’, The Annals of Mathematical Statistics, vol. 32, no. 4,
pp. 1118–1124.
Malek, F & Leslie, IS 2006, ‘Using seismic data for rockburst re-entry protocol at INCO's Copper Cliff North Mine’, in D Yale, S Holtz, C Breeds & U Ozbay (eds), Proceedings of the 41st U.S. Symposium on Rock Mechanics, American Rock Mechanics Association, Alexandria, pp. 1–10.
Melick, AG 2007, Beaconsfield Investigation Report, Tasmanian Government, viewed 9 January 2017,
Mendecki, AJ 2005, ‘Persistence of seismic rock mass response to mining’, in Y Potvin & M Hudyma (eds), Proceedings of the 6th International Symposium on Rockburst and Seismicity in Mines, Australian Centre for Geomechanics, Perth, pp. 97–105.
Mendecki, AJ 2008, ‘Keynote address: forecasting seismic hazard in mines’, in Y Potvin, J Carter, A Dyskin & R Jeffrey (eds), 1st Southern Hemisphere International Rock Mechanics Symposium, Australian Centre for Geomechanics, Perth, pp. 1–17.
Mendecki, AJ & Lynch, RA 2004, GAP601a: Experimental and theoretical investigations of fundamental processes in mining induced fracturing and rock instability close to excavations, ISS International Limited, Johannesburg.
Molchan, GM & Dmitrieva, OE 1992, ‘Aftershock identification - methods and new approaches’, Geophysical Journal International, vol. 109, no. 3, pp. 501–516.
Narteau, C, Shebalin, P & Holschneider, M 2002, ‘Temporal limits of the power law aftershock decay rate’, Geophysical Research: Solid Earth (1978–2012), vol. 107, no. B12, pp. 1–12.
Nyffenegger, P 1998, Aftershock occurrence rate decay for individual sequences and catalogs, PhD thesis, University of Texas at Austin, Austin.
Nyffenegger, P & Frohlich, C 1998, ‘Recommendations for determining p values for aftershock sequences and catalogs’, Bulletin of the Seismological Society of America, vol. 88, no. 5, pp. 1144–1154.
Nyffenegger, P & Frohlich, C 2000, ‘Aftershock occurrence rate decay properties for intermediate and deep earthquake sequences’, Geophysical Research Letters, vol. 27, no. 8, pp. 1215–1218.
Ogata, Y 1983, ‘Estimation of the parameters in the modified Omori formula for aftershock frequencies by the maximum likelihood procedure’, Physics of the Earth, vol. 31, no. 2. pp. 115–124.
Omori, F 1894a, ‘On after-shocks’, Seismological Journal of Japan, vol. 19, pp. 71–80.
Omori, F 1894b, ‘On the after-shocks of earthquakes’, Journal of the College of Science, Imperial University of Tokyo, vol. 7, no. 2, pp. 111–200.
Penney, AR 2011, Development Of Re-Entry Guidelines And Exclusion Zones At The Tasmania Gold Mine, MSc thesis, Curtin University of Technology, Perth.
Plenkers, K, Kwiatek, G, Nakatani, M & Dresen, G 2010, ‘Observation of seismic events with frequencies f>25 kHz at Mponeng deep gold mine, South Africa’, Seismological Research Letters, vol. 81, no. 3, pp. 467–479.
Spottiswoode, SM 2000, ‘Aftershocks and foreshocks of mine seismic events’, Proceedings of the 3rd International Workshop on the Application of Geophysics to Rock and Soil Engineering, International Society for Rock Mechanics, Lisboa, pp. 82–88.
Utsu, T 1961, ‘A statistical study of the occurrence of aftershocks’, Geophysical Magazine, vol. 30, no. 4. pp. 521–605.
Utsu, T 2002, ‘Statistical features of seismicity’, International Geophysics Series, vol. 81, no. A, pp. 719–732.
Utsu, T, Ogata, Y & Matsu'ura, RS 1995, ‘The centenary of the Omori formula for a decay law of aftershock activity’, Physics of the Earth, vol. 43, no. 1, pp. 1–33.
Vallejos, JA & McKinnon, SD 2008, ‘Guidelines for development of re-entry protocols in seismically active mines’, Proceedings of the 42nd U.S. Symposium on Rock Mechanics, American Rock Mechanics Association, Alexandria, Paper 08–097.
Vallejos, JA & McKinnon, SD 2010a, ‘Omori's law applied to mining-induced seismicity and re-entry protocol development’, Pure and Applied Geophysics, vol. 167, no. 1–2, pp. 91–106.
Vallejos, JA & Mckinnon, SD 2010b, ‘Temporal evolution of aftershock sequences for re-entry protocol development in seismically active mines’, in M Van Sint Jan & Y Potvin (eds), Proceedings of the 5th International Seminar on Deep and High Stress Mining, Australian Centre for Geomechanics, Perth, pp. 199–214.
Vallejos, JA & McKinnon, SD 2011, ‘Correlations between mining and seismicity for re-entry protocol development’, International Journal of Rock Mechanics and Mining Sciences, vol. 48, no. 4, pp. 616–625.
Wesseloo, J 2014, ‘Evaluation of the spatial variation of the b-value’, Journal of the South African Institute of Mining and Metallurgy, vol. 114, no. 5, pp. 823–828.
Wiemer, S, McNutt, SR & Wyss, M 1998, ‘Temporal and three-dimensional spatial analyses of the frequency–magnitude distribution near Long Valley Caldera, California’, Geophysical Journal International, vol. 134, no. 2, pp. 409–421.
Woodward, K 2015, Identification and delineation of mining induced seismic responses, PhD thesis, The University of Western Australia, Perth.

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