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International Journal of Mining Science and Technology 29 (2019) 565–570 Contents lists available at ScienceDirect International Journal of Mining Science and Technology journal homepage: www.elsevier .com/locate / i jmst Machine learning methods for rockburst prediction-state-of-the-art review https://doi.org/10.1016/j.ijmst.2019.06.009 2095-2686/� 2019 Published by Elsevier B.V. on behalf of China University of Mining & Technology. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). ⇑ Corresponding author. E-mail address: dapel@ualberta.ca (D.B. Apel). Yuanyuan Pu a, Derek B. Apel a,⇑, Victor Liu a, Hani Mitri b a School of Mining and Petroleum Engineering, University of Alberta, Edmonton T6G 2R3, Canada bDepartment of Mining and Materials Engineering, McGill University, Montreal H3A 2T6, Canada a r t i c l e i n f o Article history: Received 1 October 2018 Received in revised form 28 December 2018 Accepted 2 January 2019 Available online 24 June 2019 Keywords: Rockburst prediction Burst liability Artificial neural network Support vector machine Deep learning a b s t r a c t One of the most serious mining disasters in underground mines is rockburst phenomena. They can lead to injuries and even fatalities as well as damage to underground openings and mining equipment. This has forced many researchers to investigate alternative methods to predict the potential for rockburst occur- rence. However, due to the highly complex relation between geological, mechanical and geometric parameters of the mining environment, the traditional mechanics-based prediction methods do not always yield precise results. With the emergence of machine learning methods, a breakthrough in the prediction of rockburst occurrence has become possible in recent years. This paper presents a state-of- the-art review of various applications of machine learning methods for the prediction of rockburst poten- tial. First, existing rockburst prediction methods are introduced, and the limitations of such methods are highlighted. A brief overview of typical machine learning methods and their main features as predictive tools is then presented. The current applications of machine learning models in rockburst prediction are surveyed, with related mechanisms, technical details and performance analysis. � 2019 Published by Elsevier B.V. on behalf of China University of Mining & Technology. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). 1. Introduction Rockburst is a common geological hazard encountered in min- ing engineering and rock engineering and can damage equipment and lead to injuries and death [1–8]. Virtually all mining countries have records about rockburst hazards. In Canada, more than 15 mines reported rockburst case histories, including the Brunswick lead-zinc mine at Bathurst, the Lake Shore mine, Teck-Hughes mine, Wright-Hargreaves mine, and Macassa gold mines at Kirk- land Lake [9]. In the United States, from 1936 to 1993, 172 rock- burst cases were recorded. These cases resulted in more than 78 fatalities and 158 injuries [10,11]. During November 1996, rock- bursts causing three fatalities and five additional serious injuries occurred in a two-week period [12]. Rockburst occurrences in Ger- many have declined in recent years, not because of better tech- niques that can predict or limit the occurrence and severity but because of a decrease in underground mining. Despite the decrease in underground mining activity, Germany still recorded rockbursts which led to injuries and fatalities; between 1983 and 2007, more than 40 cases have been recorded with injuries and deaths [13]. In Australia, the first rockburst event with related fatalities and inju- ries occurred in 1917 at the GoldenMile underground working face in Kalgoorlie. Hundreds of rockbursts and mine seismicity were observed. Between 1996 and 1998, three fatalities in west Aus- tralian underground mines occurred as a result of falls of ground potentially associated with large seismic events [14]. Due to high-stress mining conditions, rockburst hazards have become an increasingly frequent problem in Australia [15]. China is currently the world’s largest coal producer. With its high rate of under- ground coal production, China has seen a steady increase in the number of recorded rockbursts. More than 100 Chinese mines have recorded rockbursts [16–18]. In November 2011, a serious rock- burst occurred in the Qianqiu Mine in Henan province, injuring 64 miners and killing 10. Fig. 1 shows a historical rockburst map of 1108 events during the period from 1995 to 2000. All these losses are a proof that rockbursts are a serious problem and should be given attention. 2. Traditional rockburst prediction methods Rockburst prediction may be classified into two categories: long-term prediction, which can be used at the design stage of engineering, and short-term prediction, which is helpful during the life of an engineering project [20]. http://crossmark.crossref.org/dialog/?doi=10.1016/j.ijmst.2019.06.009&domain=pdf http://creativecommons.org/licenses/by-nc-nd/4.0/ https://doi.org/10.1016/j.ijmst.2019.06.009 http://creativecommons.org/licenses/by-nc-nd/4.0/ mailto:dapel@ualberta.ca https://doi.org/10.1016/j.ijmst.2019.06.009 http://www.sciencedirect.com/science/journal/20952686 http://www.elsevier.com/locate/ijmst francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado Fig. 1. A historical rockburst map for the period of 1995–2000 [19]. 566 Y. Pu et al. / International Journal of Mining Science and Technology 29 (2019) 565–570 Short-term rockburst prediction mainly includes field monitor- ing such as micro-seismic method, electromagnetic radiation method, drilling cutting method, micro-gravity method, infrared thermal imaging method. Butt et al. used high frequency micro- seismic system to capture high frequency microseismic events at Creighton Mine in Sudbury, Canada [21]. These high frequency events were caused by microfractures of the overstressed rock. Similar findings were reported by Wang and his colleagues who used microseismic monitoring techniques to predict rockbursts in Jinping II hydropower station, and proposed that precursory microcracking exists prior to most rockbursts, which could be cap- tured by the micro-seismic monitoring system [22]. The stress con- centration is evident near structural discontinuities, which should be the focus of rockburst monitoring. Frid et al. proposed that higher stress associated with increased rockburst hazard in rocks near a working mine generates an increase in their natural electro- magnetic radiation (EMR) [23]. Petukhov first put forward the idea of using the volume of ‘‘drilled coal rubble” to estimate a rockburst hazard at coal mines [24]. The corresponding mechanism of this method is drilling a borehole that leads to excitation of an inten- sive process of cracking in the zone of its influence. Fajklewic explained the relationship between a micro-gravity anomaly and the occurrence of a rockburst, and pointed out that during the pro- cess of a rockburst the variation of micro-gravity anomaly changes from a positive value to a negative value [25]. At the point before a Table 1 Frequently used rockburst potential assessment indicators. Number Name Description 1 Strain energy storage index (WET) [27] A ratio between strain strain energy dissipate 2 Strain energy density (SED) [28] SED ¼ r2 c 2ES rc is uniaxial compress unloading elastic modu 3 Rock brittleness (B) [29] B ¼ rc rT rc is uniaxial compress the tensile strength (M 4 Criterion of tangential stress (Ts) [30] Ts ¼ rh rc rh is the tangential str the excavations and rc 5 Failure duration time (Dt) [30] The failure duration tim peak strength to total 6 Energy-based burst potential index (BPI) [31] BPI ¼ ESR ec � 100% ESR (kJ/m3) is the energ mass and ec (kJ/m3) is t rockburst, the negative value ofa micro-gravity anomaly will be an extreme value. Some researchers measured moisture content in coal seams and proposed that when the moisture content in a coal seam is greater than 3%, there is no rockburst hazard. Zhang et al. employed a thermal infrared radiation systemmonitoring the tem- perature variation in a tunnel floor surface at coal mines and found that the infrared radiation temperature on the left and right walls of tunnels shows a sudden increase before rockbursts [26]. Short- term rockburst prediction methods can be implemented after the completion of underground development. Only after excavating an underground tunnel or drift can the monitoring equipment be installed at underground excavations. On the other hand, in order to avoid areas with high rockburst hazard during excavation, a long-term rockburst prediction method should be employed at the design stage of future excavations. Long-term rockburst prediction is based on a combination of evaluating rockburst potential and field conditions. To evaluate burst potential, some scholars put forward several indicators. The strain energy storage index (WET), which refers to a ratio between strain energy retained (Wsp) and strain energy dissipated (Wst), is proposed by Kidybinski [27]. Wattimena et al. used elastic strain energy density as a burst potential indicator [28]. The rock brittle- ness coefficient, based on the ratio between UCS (uniaxial com- pressive stress) and tensile stress, is another widely used burst liability indicator [29]. A criterion of tangential stress, the ratio between tangential stress around underground excavations, rh, and the UCS of rock, rc can be used to assess the rock burst ten- dency [30]. Mitri et al. developed an energy-based burst potential index (BPI) to diagnose the burst proneness [31]. Table 1 shows some frequently used burst potential evaluation indicators. However, rockburst occurrence relates to a number of factors, including geologic structure, mining or excavation methods, mechanical properties of rocks, and in-situ stress [32]. Further- more, the mutual effects of these impact factors for occurrence of rockburst are still not clear. As such, current prediction methods have significant limitations in engineering. Given this situation, some scholars have tried to use machine learning methods to pre- dict rockbursts. Classification criteria energy and retained (Wsp) d (Wst) WET � 2.0, no burst potential; 2.0 200, Strong burst potential. ion stress (MPa), and ES is lus (GPa) B > 40, No burst potential; 26.7 500 ms, No burst potential; 50 msof a rockburst for similar conditions. Zhou et al. employed a support vector machine (SVM) to deter- mine the classification of long-term rockburst for underground openings [49]. Two optimization methods: genetic algorithm and swarm optimization algorithm, are adopted to automatically determine the optimal hyper-parameters for SVMs. The results indicated that the heuristic algorithm of GA and PSO can speed up SVM’s parameter optimization search. This proposed method might hold high potential to become a useful tool in rockburst prediction. learning development. francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado Fig. 4. Performance comparison between traditional machine learning and deep learning. Fig. 3. Rockburst classification accuracy from twelve machine learning algorithms [42]. 568 Y. Pu et al. / International Journal of Mining Science and Technology 29 (2019) 565–570 Su et al. proposed a new method based on k-Nearest Neighbor case reasoning technology [50]. The results of the prediction of a mining induced rockburst at a great depth in South Africa show that this method is feasible and reliable for rockburst prediction with high precision. A Bayes discriminant analysis model is used by Fu et al. to pre- dict the possibility and classification of rockbursts [51]. Three fac- tors are the discriminating factors of the model. Rockbursts in Dongyu Mine and Pingdingshan deep development opening were predicted using this model. The predicted results are consistent with the observed ones. Cai et al. combined a principal component analysis and fuzzy comprehensive evaluation model for coal burst potential assess- ment [1]. These two methods can decrease the correlation of orig- inal data, which can avoid interaction among original data. Zhou et al. summarized 12 machine learning algorithms includ- ing artificial neural network (ANN), distance discriminant analysis (DDA), support vector machine (SVM), Bays discriminant analysis (BDA), Fisher linear discriminant analysis (LDA), etc., in long- term rockburst prediction and compared their prediction accura- cies [44]. These algorithms used different rockburst indicators as input features and their training samples sizes were different. Fig. 3 shows various accuracies obtained from 12 machine learning algorithms. These applied machine learning methods in rockburst predic- tion mainly focus on burst potential evaluation which can be regarded as long-term rockburst prediction. Some other scholars applied machine learning in microseismic monitoring, a field mon- itoring method that can predict rockburst within a short-term. Microseismic signals are critical evidence for rockburst occur- rence. However, many noise sources characterized by an abrupt amplitude, including human walking, passing vehicles, and espe- cially blasting, increasing give the appearance of microseismic events [48]. Hence, the first step to use microseismic signal to pre- dict rockburst is extracting genuine rock microseismic signals from received monitoring signals. Zhao and Gross demonstrated how to use a support vector machine (SVM) to distinguish genuine microseismic from noise events [48]. 16 input attributes were extracted from 71 original time-domain and frequency-domain features to train the SVM model based on a dimensionality reduction method called neigh- borhood component analysis (NCA). Four different kernel functions (linear, Gaussian, Quadratic, Cubic) were embedded in the SVM model to compare accuracy. However, SVM is a binary classifier which can only distinguish microseismic events and non- microseismic events. We can anticipate a multi-classifier to further classify noise events into more subclasses such as walking noise, vehicle noise and blasting noise Dong et al. compared the three machine learning models (Fisher classifier, naive Bayesian classifier, and logistic regression) in dif- ferentiating seismic events and blasts generate seismic waveform [52]. The results showed that the logistic regression model had the best discriminating performance in these three mines. How- ever, database from three mines were used as training as well as testing. The generalization performance of the model might be doubtful. In other words, this model only guaranteed empirical risk minimization instead of structural risk minimization. Shang et al. used a BP neural network to distinguish rock mass fracturing signals and blasting vibration signals [53]. A combined method: frequency slice wavelet transform (FSWT) plus singular value decomposition (SVD) was adopted to extract relevant infor- mation from original microseismic signals as input parameters for BP neural network. The results showed 86.67% of the signals could be precisely identified. This BP neural model had 70 training samples as well as 50 test samples, which was not an optimal pro- portion. In general, the proportion between training samples and test samples should be 2:1. Yıldırım et al. used three different neural network models (feed- forward neural networks, adaptive neural fuzzy inference system, and probabilistic neural network) to discriminate between seismic events and quarry blasts [54]. He found that the feedforward neu- ral network performs better than other two neural networks with a classification accuracy 99% against 96% for adaptive neural net- work and 97% for probabilistic neural network under a support of 175 seismic events data. 5. Conclusion, discussion and future research A significant number of lab tests and engineering projects show a highly nonlinear relationship between rockburst occurrence and corresponding control factors. Machine learning is a prospective way to simulate such relationship because it does not need any prior knowledge about the nature of the relationship between the input/output variables, which is one of the benefits that machine learning has over most empirical and statistical methods. However, problems do exist with the application of machine learn- ing in rockburst prediction. Most existing machine learning methods in rockburst predic- tion use a shallow machine learning model like SVM, decision tree, and logistic regression. Although these models enjoy computation convenience, they can only show relatively simple relationships between rockburst control factors and rockburst occurrence. Highly nonlinear relationship may not locate in the scope of shal- lowmachine learning models. In future research, deep learning can be involved in rockburst prediction. A multi-layer neural network can tackle any function with arbitrary precision, which ensures a more accurate relationship between rockburst control factors and rockburst occurrence. Furthermore, deep learning has demon- strated its superior performance with more supportive data. Fig. 4 compares performances between deep learning and tradi- tional shallow machine learning methods under different data sizes. Traditional machine learning methods perform slightly francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado francisco.wong Resaltado Y. Pu et al. / International Journal of Mining Science and Technology 29 (2019) 565–570 569 better than deep learning with small data size. However, this advantage will totally reverse when data size is large enough. Another advantage of deep learning is automatic feature selec- tion. In general, when we apply machine learning to rockburst pre- diction, we must assign features for input vector. For example, in burst potential assessment with machine learning, some indicators in Table 1 are determined as features for training samples. How- ever, manual feature determination usually cannot reveal all char- acteristics of a problem. Feature engineering in deep learning is able to decide features automatically, create featuresand improve features, which is very helpful in microseismic signal identification in short-term rockburst prediction. As of now, there is no research referring to this topic. Based on the machine learning principle ‘Garbage in, garbage out’, the selection of training samples directly influences the suc- cess or failure of prediction. Some deficiencies exist in current long-term rockburst prediction with machine learning. Firstly, a common problem is lack of training samples. A small amount of training samples cannot feed enough features into a machine learning model, which leads to inferior prediction accuracy. Another problem for training samples is imbalance, which means there are significant differences among the number of labels in the training set. For example, if the expected prediction results are ‘rockburst happen’ and ‘no rockburst’, an optimal training set should consist of 50% ‘rockburst happen’ labelled samples and 50% ‘no rockburst, labelled samples. However, the ‘‘rockburst hap- pen” records in engineering projects are much less than ‘no rock- burst’ records, which usually results in an unbalanced training set. One common solution to solve training set imbalance is over-sampling for ‘rockburst happen’ samples and under- sampling for ‘no rockburst’ samples. As a short-term prediction method, microseismic monitoring can relatively predict the burst location and burst time, which sug- gests a hopeful prospect in rockburst control. However, current research about machine learning in microseismic monitoring mainly focuses on distinguishing burst signals from other noises. There is little research about the subsequent steps on how to build a model between burst signals and rockburst occurrence. This job is pending for future research. The new breakthrough of rockburst prediction applying machine learning based on field monitoring may reside in the monitoring signal anomaly detection. All types of field monitoring signal are expected to show anomalies before a real rockburst happens. If we can build the relation between sig- nal anomalies with rockburst, somehow can determine the rock- burst happen time. Now, anomaly detection with machine learning is a prospective technology with many proposed methods. The introduction of this kind of technology may provide an alterna- tive method for rockburst prediction. In summary, research about machine learning in rockburst pre- diction have made some achievements although some flaws exist in current research. Future achievements can be obtained if more advanced machine learning methods are involved in addressing this issue. References [1] Cai W, Dou L, Si G, Cao A, He J, Liu S. 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