Log in

Applying Machine Learning Approaches to Evaluating Rockburst Liability: A Comparation of Generative and Discriminative Models

  • Published:
Pure and Applied Geophysics Aims and scope Submit manuscript

Abstract

The serious consequences of rockburst have forced researchers to investigate alternatives methods for prediction. A lot of researches about rockburst resided in the focus on burst liability which is identified as an inherent cause of the rockburst. Due to the complex and highly nonlinear relationship between the impact factors and rockburst liability, traditional evaluation approaches are hard to gain ideal results for burst liability evaluation. A lot of scholars have tried to use machine learning to evaluate burst liability, but the results have been inconsistent. This study compares two fundamental machine learning models: discriminative and generative, which are typified by a support vector machine and Gaussian process classifier respectively, based on a uniform training dataset. This study also indicated burst liability evaluation is an unequal cost multi-class classification task in terms of machine learning. In addition to a conventional performance metric, the receiver operating curve (ROC) is generalized to evaluate model performances for this kind of task. The results indicate that the discriminative approach is more suitable for burst liability evaluation problem considering a common problem in burst liability evaluation task which is the sample size is limited. Finally, this conclusion was furtherly verified by a real rockburst case at a diamond mine.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price includes VAT (France)

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4

Similar content being viewed by others

References

  • Adoko, A. C., Gokceoglu, C., Wu, L., & Zuo, Q. J. (2013). Knowledge-based and data-driven fuzzy modeling for rockburst prediction. International Journal of Rock Mechanics and Mining Sciences, 61, 86–95.

    Article  Google Scholar 

  • Baltz, R., & Hucke, A. (2008). Rockburst prevention in the German coal industry. Proceedings of the 27th International Conference on Ground Control in Mining (pp. 46–50). Morgantown: West Virginia University.

  • Blake, W., & Hedley, D. G. (2003). Rockbursts: Case studies from North American hard-rock mines. Littleton: SME.

    Google Scholar 

  • Boser, B. E., Guyon, I. M., & Vapnik, V. N. (1992). A training algorithm for optimal margin classifiers. Proceedings of the 5th Annual Workshop on Computational Learning Theory (pp. 144–152). ACM.

  • Butt, S. D., Apel, D. B., & Calder, P. N. (1997). Analysis of high frequency microseismicity recorded at an underground hardrock mine. Pure and Applied Geophysics, 150, 693–704.

    Article  Google Scholar 

  • Cai, W., Dou, L., Si, G., Cao, A., He, J., & Liu, S. (2016). A principal component analysis/fuzzy comprehensive evaluation model for coal burst liability assessment. International Journal of Rock Mechanics and Mining Sciences, 81, 62–69. https://doi.org/10.1016/j.ijrmms.2015.09.028.

    Article  Google Scholar 

  • Cortes, C., & Vapnik, V. (1995). Support-vector networks. Machine Learning, 20, 273–297.

    Google Scholar 

  • Fajklewicz, Z. (1988). Application of microgravimetry method to detection of subsurface cavities and prediction of rock bursts. In Advances in coal geophysics (pp. 1–11). EAG, Hyderbad, India.

  • Feng, X., & Wang, L. (1994). Rockburst prediction based on neural networks. Transactions of Nonferrous Metals Society of China, 4, 7–14.

    Google Scholar 

  • Frid, V. (1997). Rockburst hazard forecast by electromagnetic radiation excited by rock fracture. Rock Mechanics and Rock Engineering, 30, 229–236.

    Article  Google Scholar 

  • Hong-Bo, Z. (2005). Classification of rockburst using support vector machine. Rock and Soil Mechanics, 26, 642–644.

    Google Scholar 

  • Iannacchione, A. T., & Zelanko, J. C. (1900). Occurrence and remediation of coal mine bumps: A historical review. U.S. Department of the Interior, Bureau of Mines. Special Publication 01-95, NTIS No. PB95-211967, 1995, pp. 27–67.

  • Kidybiński, A. (1981). Bursting liability indices of coal. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Elsevier, 4, 295–304.

    Article  Google Scholar 

  • Korzeniowski, W., Skrzypkowski, K., & Zagórski, K. (2017). Reinforcement of underground excavation with expansion shell rock bolt equipped with deformable component. Studia Geotechnica et Mechanica, 39, 39–52.

    Article  Google Scholar 

  • Li, S. L. (2000). Study on rockburst proneness and strata control technology for deep mines with hard rock. Ph.D. Thesis, Northeastern University

  • Li, Z., Dou, L., Cai, W., Wang, G., He, J., Gong, S., et al. (2014). Investigation and analysis of the rock burst mechanism induced within fault–pillars. International Journal of Rock Mechanics and Mining Sciences, 70, 192–200. https://doi.org/10.1016/j.ijrmms.2014.03.014.

    Article  Google Scholar 

  • Mitri, H. S., Tang, B., & Simon, R. (1999). FE modelling of mining-induced energy release and storage rates. Journal of the Southern African Institute of Mining and Metallurgy, 99, 103–110.

    Google Scholar 

  • Pedregosa, F., et al. (2011). Scikit-learn: Machine learning in Python. Journal of machine learning research, 12, 2825–2830.

    Google Scholar 

  • Potvin, Y., Hudyma, M., & Jewell, R. J. (2000). Rockburst and seismic activity in underground Australian mines-an introduction to a new research project. ISRM International Symposium, International Society for Rock Mechanics.

  • Pu, Y., Apel, D. B., & Lingga, B. (2018a). Rockburst prediction in kimberlite using decision tree with incomplete data. Journal of Sustainable Mining, 17, 158–165.

    Article  Google Scholar 

  • Pu, Y., Apel, D. B., Wang, C., & Wilson, B. (2018b). Evaluation of burst liability in kimberlite using support vector machine. Acta Geophysica, 66(5), 973–982.

    Article  Google Scholar 

  • Pu, Y., Apel, D., & Xu, H. (2018c). A Principal Component Analysis/Fuzzy Comprehensive Evaluation for Rockburst Potential in Kimberlite. Pure and Applied Geophysics, 175(6), 2141–2151.

    Article  Google Scholar 

  • Rasmussen, C. E., & Williams, C. K. (2006). Gaussian processes for machine learning (Vol. 2, p. 4). the MIT Press

  • Richard, S. (1999). Analysis of fault-slip mechanisms in hard rock mining. Doctoral Thesis, McGill University.

  • Skrzypkowski, K. (2018). A new design of support for burst-prone rock mass in underground ore mining. E3S Web of Conferences, EDP Sciences, p. 00006

    Article  Google Scholar 

  • Spackman, K. A. (1989). Signal detection theory: Valuable tools for evaluating inductive learning. Proceedings of the 6th International Workshop on Machine Learning (pp. 160–163), Amsterdam, Elsevier.

  • Su, G.-S., Zhang, X.-F., & Yan, L.-B. (2008). Rockburst prediction method based on case reasoning pattern recognition. Journal of Mining & Safety Engineering, 1, 015.

    Google Scholar 

  • Sun, J., Wang, L., Zhang, H., & Shen, Y. (2009). Application of fuzzy neural network in predicting the risk of rock burst. Procedia Earth and Planetary Science, 1, 536–543.

    Article  Google Scholar 

  • Tang, S., Wu, Z., & Chen, X. (2003). Approach to occurrence and mechanism of rockburst in deep underground mines. Chinese Journal of Rock Mechanics and Engineering, 8, 004.

    Google Scholar 

  • Wang, J., Chen, J., Yang, J., & Que, J. (2009). Method of distance discriminant analysis for determination of classification of rockburst. Rock and Soil Mechanics, 30, 2203–2208.

    Google Scholar 

  • Wang, Y., Li, W., Li, Q., Xu, Y., & Tan, G. (1998). Method of fuzzy comprehensive evaluations for rockburst prediction. Chinese Journal of Rock Mechanics and Engineering, 17, 493–501.

    Google Scholar 

  • Wang, C., Xu, J., Zhao, X., & Wei, M. (2012). Fractal characteristics and its application in electromagnetic radiation signals during fracturing of coal or rock. International Journal of Mining Science and Technology, 22, 255–258.

    Article  Google Scholar 

  • Wang, J., & Zhang, J. (2010). Preliminary engineering application of microseismic monitoring technique to rockburst prediction in tunneling of **** II project. Journal of Rock Mechanics and Geotechnical Engineering, 2, 193–208.

    Article  Google Scholar 

  • Wattimena, R. K., Sirait, B., Widodo, N. P., & Matsui, K. (2012). Evaluation of rockburst potential in a cut-and-fill mine using energy balance. International Journal of the JCRM, 8, 19–23.

    Google Scholar 

  • Wu, T.-F., Lin, C.-J., & Weng, R. C. (2004). Probability estimates for multi-class classification by pairwise coupling. Journal of Machine Learning Research, 5, 975–1005.

    Google Scholar 

  • Wu, Y., & Zhang, W. (1997). Evaluation of the bursting proneness of coal by means of its failure duration. In S. J. Gibowicz & S. Lasocki (Eds.), Rockbursts and seismicity in mines (pp. 285–288). Rotterdam: Balkema.

    Google Scholar 

  • **e, H., & Pariseau, W. G. (1993). Fractal character and mechanism of rock bursts. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, Elsevier, 4, 343–350.

    Article  Google Scholar 

  • Xu, M., Du, Z., Yao, G., & Liu, Z. (2008). Rockburst prediction of chengchao iron mine during deep mining. Chinese Journal of Rock Mechanics and Engineering, 27, 2921–2928.

    Google Scholar 

  • Yang, J., Li, X., Zhou, Z., & Lin, Y. (2010). A fuzzy assessment method of rock-burst prediction based on rough set theory. **shu Kuangshan/Metal Mine, 6, 26–29.

    Google Scholar 

  • Yi, Y., Cao, P., & Pu, C. (2010). Multi-factorial comprehensive estimation for **chuan’s deep typical rockburst tendency Keji Daobao. Science & Technology Review, 28, 76–80.

    Google Scholar 

  • Zhang, L., & Li, C. (2009). Study on tendency analysis of rockburst and comprehensive prediction of different types of surrounding rock. In Controlling seismic hazard and sustainable development of deep mines (Vol. 2).

  • Zhang, L.-W., Zhang, D.-Y., Li, S.-C., & Qiu, D.-H. (2012). Application of RBF neural network to rockburst prediction based on rough set theory. Rock and Soil Mechanics, 33, 270–276.

    Google Scholar 

  • Zhang, L. W., Zhang, D. Y., & Qiu, D. H. (2010). Application of extension evaluation method in rockburst prediction based on rough set theory. Journal of China Coal Society, 35(9), 1461–1465.

    Google Scholar 

  • Zhang, C., Zhou, H., & Feng, X.-T. (2011). An index for estimating the stability of brittle surrounding rock mass: FAI and its engineering application. Rock Mechanics and Rock Engineering, 44, 401.

    Article  Google Scholar 

  • Zhou, J., Li, X., & Mitri, H. S. (2016). Classification of rockburst in underground projects: Comparison of ten supervised learning methods. Journal of Computing in Civil Engineering, 30, 04016003.

    Article  Google Scholar 

  • Zhou, J., Li, X., & Shi, X. (2012). Long-term prediction model of rockburst in underground openings using heuristic algorithms and support vector machines. Safety Science, 50, 629–644. https://doi.org/10.1016/j.ssci.2011.08.065.

    Article  Google Scholar 

Download references

Acknowledgements

This study was supported by the Natural Sciences and Engineering Research Council of Canada (NSERC) under Collaborative Research and Development (CRD) Grant. Supports from Chinese Scholarship Council are gratefully acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Derek B. Apel.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Pu, Y., Apel, D.B. & Wei, C. Applying Machine Learning Approaches to Evaluating Rockburst Liability: A Comparation of Generative and Discriminative Models. Pure Appl. Geophys. 176, 4503–4517 (2019). https://doi.org/10.1007/s00024-019-02197-1

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00024-019-02197-1

Keywords

Navigation