Skip to main content

Advertisement

Log in

Application of self-organizing map and fuzzy c-mean techniques for rockburst clustering in deep underground projects

  • Original Article
  • Published:
Neural Computing and Applications Aims and scope Submit manuscript

Abstract

One of the main concerns associated with deep underground constructions is the violent expulsion of rock induced by unexpected release of strain energy from surrounding rock masses that is known as rockburst. Rockburst hazard causes substantial damages to the foundation of the structure and equipment and can be a menace to the safety of workers. This study was intended to find the latent relationship between the rockburst-related parameters based on the compiled data samples from deep underground projects using two robust clustering techniques of self-organizing map (SOM) and fuzzy c-mean (FCM). The parameters of maximum tangential stress, uniaxial compressive strength, uniaxial tensile strength, and elastic energy index were considered as input parameters. SOM model could classify data samples into four distinct classes (clusters), and the rockburst intensities were identified precisely. FCM also proved its performance in clustering task with high convergence speed and acceptable accuracy. Having a comparison, the results of SOM and FCM models were compared with ones calculated from five empirical criteria of Russenes, Hoek, tangential stress, elastic energy index, and rock brittleness coefficient. At best, the empirical criteria of Hoek and tangential stress coefficient could predict rockburst intensity with the accuracy of 56.90%. By analyzing the SOM results as the best model, it was turned out that the maximum tangential stress around the openings has a crucial role in rockburst clustering and has the most influence on the occurrence of strong and moderate rockburst types. Hence, it was recommended as a possible solution to control these types of rockbursts by optimizing the diameter and shape of the underground openings.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  1. Sun J, Wang S (2000) Rock mechanics and rock engineering in China: developments and current state-of-the-art. Int J Rock Mech Min Sci 37:447–465. https://doi.org/10.1016/S1365-1609(99)00072-6

    Google Scholar 

  2. Jian Z, Xibing L, Xiuzhi S (2012) Long-term prediction model of rockburst in underground openings using heuristic algorithms and support vector machines. Saf Sci 50:629–644. https://doi.org/10.1016/j.ssci.2011.08.065

    Google Scholar 

  3. Akdag S, Karakus M, Taheri A et al (2018) Effects of thermal damage on strain burst mechanism for brittle rocks under true-triaxial loading conditions. Rock Mech Rock Eng 51(6):1657–1682. https://doi.org/10.1007/s00603-018-1415-3

    Google Scholar 

  4. Weng L, Huang L, Taheri A, Li X (2017) Rockburst characteristics and numerical simulation based on a strain energy density index: a case study of a roadway in Linglong gold mine, China. Tunn Undergr Space Technol 69:223–232. https://doi.org/10.1016/j.tust.2017.05.011

    Google Scholar 

  5. Feng XT, Yu Y, Feng GL et al (2016) Fractal behaviour of the microseismic energy associated with immediate rockbursts in deep, hard rock tunnels. Tunn Undergr Sp Technol 51:98–107. https://doi.org/10.1016/j.tust.2015.10.002

    Google Scholar 

  6. Li T, Cai MF, Cai M (2007) A review of mining-induced seismicity in China. Int J Rock Mech Min Sci 44:1149–1171. https://doi.org/10.1016/j.ijrmms.2007.06.002

    Google Scholar 

  7. He J, Dou L, Gong S et al (2017) Rock burst assessment and prediction by dynamic and static stress analysis based on micro-seismic monitoring. Int J Rock Mech Min Sci 93:46–53. https://doi.org/10.1016/J.IJRMMS.2017.01.005

    Google Scholar 

  8. Blake W, Hedley DG (2003) Rockbursts: case studies from North American hard-rock mines. Markham, SME

    Google Scholar 

  9. Yan P, Zhao Z, Lu W et al (2015) Mitigation of rock burst events by blasting techniques during deep-tunnel excavation. Eng Geol 188:126–136. https://doi.org/10.1016/j.enggeo.2015.01.011

    Google Scholar 

  10. Zhou J, Li X, Mitri HS (2018) Evaluation method of rockburst: state-of-the-art literature review. Tunn Undergr Sp Technol 81:632–659. https://doi.org/10.1016/j.tust.2018.08.029

    Google Scholar 

  11. He M, e Sousa LR, Miranda T, Zhu G (2015) Rockburst laboratory tests database - Application of data mining techniques. Eng Geol 185:116–130. https://doi.org/10.1016/j.enggeo.2014.12.008

    Google Scholar 

  12. Castro L, Bewick R, Carter T (2012) An overview of numerical modelling applied to deep mining. In: Innovative numerical modelling in geomechanics. CRC Press, pp 393–414

  13. Tang C, Wang J, Zhang J (2010) Preliminary engineering application of microseismic monitoring technique to rockburst prediction in tunneling of Jinping II project. J Rock Mech Geotech Eng 2:193–208. https://doi.org/10.3724/SP.J.1235.2010.00193

    Google Scholar 

  14. Shi XZ, Zhou J, Dong L et al (2010) Application of unascertained measurement model to prediction of classification of rockburst intensity. Chinese J Rock Mech Eng 29(1):2720–2727 (in Chinese)

    Google Scholar 

  15. Cai M (2016) Prediction and prevention of rockburst in metal mines—a case study of Sanshandao gold mine. J Rock Mech Geotech Eng 8:204–211. https://doi.org/10.1016/j.jrmge.2015.11.002

    Google Scholar 

  16. Turchaninov IA, Markov GA, Gzovsky MV et al (1972) State of stress in the upper part of the Earth’s crust based on direct measurements in mines and on tectonophysical and seismological studies. Phys Earth Planet Inter 6:229–234. https://doi.org/10.1016/0031-9201(72)90005-2

    Google Scholar 

  17. Russenes B (1974) Analysis of rock spalling for tunnels in steep valley sides. Master Thesis of Science, Norwegian Institute of Technology

  18. Hoek E, Brown ET (1980) Underground excavations in rock. Institution of Mining and Metallurgy, London

    Google Scholar 

  19. Barton N, Lien R, Lunde J (1974) Engineering classification of rock masses for the design of tunnel support. Rock Mech Felsmechanik Mécanique des Roches 6:189–236. https://doi.org/10.1007/BF01239496

    Google Scholar 

  20. Wang YH, Li WD, Lee PKK, Tham LG (1998) method of fuzzy comprehensive evaluations for rockburst prediction. Chin J Rock Mech Eng 17(5):493–501 (in Chinese)

    Google Scholar 

  21. Aubertin M, Gill DE, Simon R, others (1994) On the use of the brittleness index modified (BIM) to estimate the post-peak behavior of rocks. In: 1st North American rock mechanics symposium

  22. Li C, Cai M, Qiao L, Wang S (1996) Rock complete stress-strain curve and its relationship to rockburst. J Univ Sci Technol Beijing 21(6):513–515 (in Chinese)

    Google Scholar 

  23. Mo C, Tan H, Su G, Jiang J (2014) A new rockburst proneness index based on energy principle. International Conference on Civil Engineering, Energy and Environment

  24. Jha PC, Chouhan RKS (1994) Long range rockburst prediction: a seismological approach. Int J Rock Mech Min Sci 31:71–77. https://doi.org/10.1016/0148-9062(94)92316-7

    Google Scholar 

  25. Frid V (1997) Rockburst hazard forecast by electromagnetic radiation excited by rock fracture. Rock Mech Rock Eng 30:229–236. https://doi.org/10.1007/BF01045719

    Google Scholar 

  26. He M, Gong W, Wang J et al (2014) Development of a novel energy-absorbing bolt with extraordinarily large elongation and constant resistance. Int J Rock Mech Min Sci 67:29–42. https://doi.org/10.1016/j.ijrmms.2014.01.007

    Google Scholar 

  27. Dou LM, Lu CP, Mu ZL, Gao MS (2009) Prevention and forecasting of rock burst hazards in coal mines. Min Sci Technol 19:585–591. https://doi.org/10.1016/S1674-5264(09)60109-5

    Google Scholar 

  28. Zhao G, Wang D, Gao B, Wang S (2017) Modifying rock burst criteria based on observations in a division tunnel. Eng Geol 216:153–160. https://doi.org/10.1016/j.enggeo.2016.11.014

    Google Scholar 

  29. Liu Z, Shao J, Xu W, Meng Y (2013) Prediction of rock burst classification using the technique of cloud models with attribution weight. Nat Hazards 68:549–568. https://doi.org/10.1007/s11069-013-0635-9

    Google Scholar 

  30. Li N, Feng X, Jimenez R (2017) Predicting rock burst hazard with incomplete data using Bayesian networks. Tunn Undergr Sp Technol 61:61–70. https://doi.org/10.1016/j.tust.2016.09.010

    Google Scholar 

  31. Feng X, Wang L (1994) Rockburst prediction based on neural networks. Trans Nonferrous Met Soc China 4(1):7–14

    Google Scholar 

  32. Zhou J, Shi XZ, Dong L et al (2010) Fisher discriminant analysis model and its application for prediction of classification of rockburst in deepburied long tunnel. J Coal Sci Eng 16(2):144–149

    Google Scholar 

  33. Zhang Q, Wang W, Liu T (2011) Prediction of rock bursts based on particle swarm optimization-BP neural network. J China Three Gorges Univ 33:41–45

    Google Scholar 

  34. Li B, Liu Y (2015) Determination of classification of rock burst risk based on random forest approach and its application. Sci Technol Rev 33:57–62

    Google Scholar 

  35. Xie X-B, Pan C-L (2007) Rockburst prediction method based on grey whitenization weight function cluster theory. Hunan Daxue Xuebao/Journal Hunan Univ Nat Sci 34:16–20

    Google Scholar 

  36. Gao W (2010) Prediction of rock burst based on ant colony clustering algorithm. Yantu Gongcheng Xuebao/Chin J Geotech Eng 32:874–880

    Google Scholar 

  37. Chen BR, Feng XT, Li QP et al (2013) Rock Burst Intensity Classification Based on the Radiated Energy with Damage Intensity at Jinping II Hydropower Station, China. Rock Mech Rock Eng 48:289–303. https://doi.org/10.1007/s00603-013-0524-2

    Google Scholar 

  38. Das SK, Basudhar PK (2009) Utilization of self-organizing map and fuzzy clustering for site characterization using piezocone data. Comput Geotech 36:241–248. https://doi.org/10.1016/j.compgeo.2008.02.005

    Google Scholar 

  39. Rad MY, Haghshenas SS, Kanafi PR, Haghshenas SS (2012) Analysis of protection of body slope in the rockfill reservoir dams on the basis of fuzzy logic. In IJCCI, pp 367–373

  40. Mikaeil R, Haghshenas SS, Hoseinie SH (2018) Rock penetrability classification using artificial bee colony (ABC) algorithm and self-organizing map. Geotech Geol Eng 36:1309–1318. https://doi.org/10.1007/s10706-017-0394-6

    Google Scholar 

  41. Mikaeil R, Haghshenas SS, Ozcelik Y, Gharehgheshlagh HH (2018) Performance evaluation of adaptive neuro-fuzzy inference system and group method of data handling-type neural network for estimating wear rate of diamond wire saw. Geotech Geol Eng 36(2):3779–3791. https://doi.org/10.1007/s10706-018-0571-2

    Google Scholar 

  42. Faradonbeh RS, Armaghani DJ, Monjezi M, Mohamad ET (2016) Genetic programming and gene expression programming for flyrock assessment due to mine blasting. Int J Rock Mech Min Sci 88:254. https://doi.org/10.1016/j.ijrmms.2016.07.028

    Google Scholar 

  43. Khandelwal M, Armaghani DJ, Faradonbeh RS et al (2016) A new model based on gene expression programming to estimate air flow in a single rock joint. Environ Earth Sci 75:739. https://doi.org/10.1007/s12665-016-5524-6

    Google Scholar 

  44. Armaghani DJ, Faradonbeh RS, Rezaei H et al (2016) Settlement prediction of the rock-socketed piles through a new technique based on gene expression programming. Neural Comput Appl 29:1115–1125. https://doi.org/10.1007/s00521-016-2618-8

    Google Scholar 

  45. Khandelwal M, Armaghani DJ, Faradonbeh RS et al (2017) Classification and regression tree technique in estimating peak particle velocity caused by blasting. Eng Comput 33:45–53. https://doi.org/10.1007/s00366-016-0455-0

    Google Scholar 

  46. Salemi A, Mikaeil R, Haghshenas SS (2018) Integration of finite difference method and genetic algorithm to seismic analysis of circular shallow tunnels (Case Study: Tabriz Urban Railway Tunnels). KSCE J Civ Eng 22:1978–1990. https://doi.org/10.1007/s12205-017-2039-y

    Google Scholar 

  47. Aryafar A, Mikaeil R, Haghshenas SS, Haghshenas SS (2018) Application of metaheuristic algorithms to optimal clustering of sawing machine vibration. Meas J Int Meas Confed 124:20–31. https://doi.org/10.1016/j.measurement.2018.03.056

    Google Scholar 

  48. Mohamad ET, Faradonbeh RS, Armaghani DJ et al (2016) An optimized ANN model based on genetic algorithm for predicting ripping production. Neural Comput Appl 28:393–406. https://doi.org/10.1007/s00521-016-2359-8

    Google Scholar 

  49. Mahdevari S, Shahriar K, Sharifzadeh M, Tannant DD (2017) Stability prediction of gate roadways in longwall mining using artificial neural networks. Neural Comput Appl 28:3537–3555. https://doi.org/10.1007/s00521-016-2263-2

    Google Scholar 

  50. Kohonen T (1990) The self-organizing map. Proc IEEE 78:1464–1480. https://doi.org/10.1109/5.58325

    Google Scholar 

  51. Yu H, Khan F, Garaniya V (2015) Risk-based fault detection using self-organizing map. Reliab Eng Syst Saf 139:82–96. https://doi.org/10.1016/J.RESS.2015.02.011

    Google Scholar 

  52. Malondkar A, Corizzo R, Kiringa I et al (2018) Spark-GHSOM: growing hierarchical self-organizing map for large scale mixed attribute datasets. Inf Sci 496:572–591. https://doi.org/10.1016/j.ins.2018.12.007

    Google Scholar 

  53. Hagan MT, Demuth HB, Beale MH et al (1996) Neural network design. Pws Pub, Boston

    Google Scholar 

  54. Demuth HB, Beale MH, De Jess O, Hagan MT (2014) Neural network design. Martin Hagan, Stillwater

    Google Scholar 

  55. Zadeh LA (1996) Fuzzy sets. In: Zadeh LA (ed) Fuzzy sets, fuzzy logic, and fuzzy systems: selected papers. World Scientific, Singapore, pp 394–432

    Google Scholar 

  56. Bezdek JC (1981) Models for pattern recognition. In: Bezdek JC (ed) Pattern recognition with fuzzy objective function algorithms. Springer, Boston, pp 1–13

    MATH  Google Scholar 

  57. Caldas R, Hu Y, de Lima Neto FB, Markert B (2017) Self-organizing maps and fuzzy c-means algorithms on gait analysis based on inertial sensors data. Springer, Cham, pp 197–205

    Google Scholar 

  58. Dong L, Li X, Peng K (2013) Prediction of rockburst classification using Random Forest. Trans Nonferrous Met Soc China 23:472–477. https://doi.org/10.1016/S1003-6326(13)62487-5

    Google Scholar 

  59. Adoko AC, Gokceoglu C, Wu L, Zuo QJ (2013) Knowledge-based and data-driven fuzzy modeling for rockburst prediction. Int J Rock Mech Min Sci 61:86–95. https://doi.org/10.1016/j.ijrmms.2013.02.010

    Google Scholar 

  60. Palmstrom A (1995) Characterizing the strength of rock masses for use in design of underground structures. In: In: International conference in design and construction of underground structures. p 10

  61. Zhao G, Wang D, Gao B, Wang S (2017) Modifying rock burst criteria based on observations in a division tunnel. Eng Geol 216:153–160. https://doi.org/10.1016/j.enggeo.2016.11.014

    Google Scholar 

  62. Kidybiński A (1981) Bursting liability indices of coal. Int J Rock Mech Min Sci 18:295–304. https://doi.org/10.1016/0148-9062(81)91194-3

    Google Scholar 

  63. Shirani Faradonbeh R, Taheri A (2018) Long-term prediction of rockburst hazard in deep underground openings using three robust data mining techniques. Eng Comput 35:1–17. https://doi.org/10.1007/s00366-018-0624-4

    Google Scholar 

  64. Mikaeil R, Haghshenas SS, Haghshenas SS, Ataei M (2018) Performance prediction of circular saw machine using imperialist competitive algorithm and fuzzy clustering technique. Neural Comput Appl 29:283–292. https://doi.org/10.1007/s00521-016-2557-4

    Google Scholar 

  65. Rezaei F, Ahmadzadeh MR, Safavi HR (2017) SOM-DRASTIC: using self-organizing map for evaluating groundwater potential to pollution. Stoch Environ Res Risk Assess 31:1941–1956. https://doi.org/10.1007/s00477-016-1334-3

    Google Scholar 

  66. Chen ZY, Kuo RJ (2017) Combining SOM and evolutionary computation algorithms for RBF neural network training. J Intell Manuf 30:1–18

    Google Scholar 

  67. Rad MY, Haghshenas SS, Haghshenas SS (2014) Mechanostratigraphy of cretaceous rocks by fuzzy logic in East Arak, Iran. In: The 4th international workshop on computer science and engineering-summer, WCSE

  68. Grinand C, Arrouays D, Laroche B, Martin MP (2008) Extrapolating regional soil landscapes from an existing soil map: sampling intensity, validation procedures, and integration of spatial context. Geoderma 143:180–190. https://doi.org/10.1016/j.geoderma.2007.11.004

    Google Scholar 

  69. Cohen J (1960) A coefficient of agreement for nominal scales. Educ Psychol Meas 20:37–46. https://doi.org/10.1177/001316446002000104

    Google Scholar 

  70. Zhou J, Li X, Mitri HS (2016) Classification of rockburst in underground projects: comparison of ten supervised learning methods. J Comput Civ Eng 30(5):04016003

    Google Scholar 

  71. Landis JR, Koch GG (1977) The measurement of observer agreement for categorical data. Biometrics 33:159–174

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Roohollah Shirani Faradonbeh.

Ethics declarations

Conflicts of interest

The authors declare that they have no conflict of interest.

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

Shirani Faradonbeh, R., Shaffiee Haghshenas, S., Taheri, A. et al. Application of self-organizing map and fuzzy c-mean techniques for rockburst clustering in deep underground projects. Neural Comput & Applic 32, 8545–8559 (2020). https://doi.org/10.1007/s00521-019-04353-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00521-019-04353-z

Keywords

Navigation