Abstract
The severity and harmfulness of a rockburst event are significantly correlated with the scale of rock mass ejection, especially when the rock mass are not supported. This paper presents a microseismicity-based method for the early estimation of rockburst occurrence and its potential scale, which is graded according to the volume of the rockburst pit (Rv). The establishment of the estimation method involves a rockburst database, a grading scheme of the rockburst scale, selection and clustering analysis of rockburst samples, training of an artificial neural network (ANN) model, and dynamic updating. Firstly, a rockburst database is established from cases that were collected from the tunnels at depths of 1900–2525 m in the Jinping II hydropower station, located in southwest China. A grading scheme regarding the rockburst scale is preliminarily proposed on the basis of statistical analysis. Next, seventy-four rockburst cases, collected in tunnels with microseismic (MS) monitoring from October 2010 to March 2011, are selected as typical rockburst samples by using cluster analysis, and the relationships between the microseismicity and rockburst scale are deeply revealed. Then, three MS parameters, namely, the cumulative number of events, the cumulative energy, and the cumulative apparent volume, are determined and used together as input indicators for the identification of the rockburst scale. The estimation model is trained and cross-validated by the ANN optimized through genetic algorithm (GA). Finally, the performance of this microseismicity-based method has been validated by thirty-one cases that occurred in the tunnels with a cumulative length of 1.85 km, excavated from April 2011 to November 2011. The result indicates that approximately 83.9% of the rockburst cases could be reliably estimated. This study provides a new and feasible method for rockburst scale estimation, which can be used separately or applied as a complementary approach to current prediction methods for risk assessment and management of rockbursts in drill-and-blast tunneling.
Similar content being viewed by others
Abbreviations
- Rv:
-
the volume of the rockburst pit
- MS:
-
microseismic
- N :
-
cumulative number of MS events
- E :
-
cumulative microseismic energy
- V :
-
cumulative microseismic apparent volume
- \( \dot{N} \) :
-
microseismic event rate
- \( \dot{E} \) :
-
microseismic energy rate
- \( \dot{V} \) :
-
microseismic apparent volume rate
- UCS:
-
uniaxial compression strength
- TS:
-
tensile strength
- ANN:
-
artificial neural network
- GA:
-
genetic algorithm
- BPNN:
-
back-propagation neural network
- W ij :
-
connective weight between neuron i and neuron j
- θ i :
-
the neural network threshold
- G-1:
-
the rockburst of scale grade 1
- G-2:
-
the rockburst of scale grade 2
- G-3:
-
the rockburst of scale grade 3
- G-4:
-
the rockburst of scale grade 4
- G-5:
-
the rockburst of scale grade 5
- x Kj :
-
value of microseismic parameter j of the Kth case
- x Lj :
-
value of microseismic parameter j of the Lth case
- \( {X}_{\mathrm{ij}}^{\ast } \) :
-
normalization value of microseismic parameter j of case i
- X ij :
-
value of microseismic parameter j of sample i
- X j, max :
-
the maximum value of microseismic parameter j among total cases
- X j, min :
-
the minimum value of microseismic parameter j among total cases
- u i :
-
the result calculated by the artificial neural model for the ith learning sample
- u i*:
-
expected result for the ith learning sample
- P i :
-
the probability of rockburst intensity i
- w j :
-
weighting coefficient of microseismic parameter j for rockburst warning
- P ji :
-
functional relationship between parameter j and rockburst intensity i
References
Abbas M, Morteza B (2010) Evolving neural network using a genetic algorithm for predicting the deformation modulus of rock masses. Int J Rock Mech Min Sci 47:246–253
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(4):86–95
Aswegen GA, Bulter AG (1993) Applications of quantitative seismology in South African gold mines. In: Proceedings of 3rd international symposium on rock-bursts and seismicity in mines. 16–18 August Canada, pp 261-266
Cai M, Kaiser PK, Martin CD (2001) Quantification of rock mass damage in underground excavations from microseismic event monitoring. Int J Rock Mech Min Sci 38(8):1135–1145
Chen BR, Feng XT, Ming HJ, Zhou H, Zeng XH, Feng GL, Xiao YX (2012) Evolution law and mechanism of rockburst in deep tunnel: time delayed rockburst. Chin J Rock Mech Eng 31(3):561–569 (in chinese)
Chen DF, Feng XT, Xu DP, Jiang Q, Yang CX, Yao PP (2016) Use of an improved ANN model to predict collapse depth of thin and extremely thin layered rock strata during tunnelling. Tunn Undergr Space Technol 51:372–386
Chinese standards, GB 50287-2016 (2016) Specification for geological survey of hydropower engineering. China planning press, Beijing
Chinese Standards, NB/T 10143–2019 (2019) Technical code for rockburst risk assessment of hydropower projects. China Water&Power Press, Beijing
Cooper GF, Herskovits E (1992) A Bayesian method for the induction of probabilistic networks from data. Mach Learn 9(4):309–347
Das R, Singh PK, Kainthola A, Panthee S, Singh TN (2017) Numerical analysis of surface subsidence in asymmetric parallel highway tunnels. J Rock Mech Geotech Eng 9(1):170–179
Deng JL (1982) Control problems of grey systems. Syst Control Lett 1(5):2–7
Delen D, Walker G, Kadam A (2005) Predicting breast cancer survivability: a comparison of three data mining methods. Artif Intell Med 34 (2):113–127
Dubois D, Prade H (1980) Fuzzy sets and systems: theory and applications. Academic Press, Utah
Everitt BS, Landau S, Leese M (2001) Cluster analysis. Oxford University Press, NewYork
Ewy RT, Cook NGW (1990) Deformation and fracture around cylindrical openings in rock—II. Initiation, growth and interaction of fractures. Int J Rock Mech Min Sci 27(5):409–427
Feng XT (2017) Rockburst: mechanisms, monitoring, warning and mitigation. Butterworth-Heinemann, Oxford
Feng XT, Hudson JA (2011) Rock engineering and design. CRC Pres/Balkema, Leiden
Feng XT, Chen BR, Li SJ, Zhang CQ, Xiao YX, Feng GL, Zhou H, Qiu SL, Zhao ZN, Yu Y, Chen DF, Ming HJ (2012) Studies on the evolution process of rockbursts in deep tunnels. J Rock Mech Geotech Eng 4(4):289–295
Feng XT, Chen BR, Zhang CQ, Li SJ, Wu SY (2013) Mechanism, warning and dynamic control of rockburst development processes. Science Press, Beijing (in Chinese)
Feng GL, Feng XT, Chen BR, Xiao YX, Jiang Q (2015a) Sectional velocity model for microseismic source location in tunnels. Tunn Undergr Space Technol 45:73–83
Feng GL, Feng XT, Chen BR, Xiao YX, Yu Y (2015b) A microseismic method for dynamic warning of rockburst development processes in tunnels. Rock Mech Rock Eng 48(5):2061–2076
Feng GL, Feng XT, Chen BR, Xiao YX, Liu GF, Zhang W, Hu L (2020) Characteristics of microseismicity during breakthrough in deep tunnels: case study of Jinping-II hydropower station in China. Int J Geomech 20(2):04019163
Gallagher MR, Downs T (2003) Visualization of learning in multilayer perceptron networks using principal component analysis. IEEE Trans Syst Man Cybern B Cybern 33(1):28–34
Goldberg DE (1989) Genetic algorithms in search, optimization, and machine learning. Addison-Wesley publishing company, Massachusetts
Gong FQ, Si XF, Li XB, Wang SY (2019) Experimental investigation of strain Rockburst in circular caverns under deep three-dimensional high-stress conditions. Rock Mech Rock Eng 52(5):1459–1474
Gu MC, He FL, Chen CZ (2002) Study on rockburst in Qingling Tunnel. Chin J Rock Mech Eng 21(9):1324–1329
Hoek E, Marinos P, Benissi M (1998) Applicability of the geological strength index (GSI) classification for very weak and sheared rock masses: the case of Athens Schist Formation. Bull Eng Geol Environ 57:151–160
Hu L, Feng XT, Xiao YX, Wang R, Feng GL, Zb Y, Niu WJ, Zhang W (2019) Effects of structural planes on rockburst position with respect to tunnel cross-sections: a case study involving a railway tunnel in China. Bull Eng Geol Environ. https://doi.org/10.1007/s10064-019-01593-0
Itasca (2012) FLAC3D Manual: Fast Lagrangian Analysis of Continua in 3 dimensions-Version 5.0, Itasca Consulting Group, Inc., Minnesota
Jiang Q, Feng XT, Xiang TB, Su GS (2010) Rockburst characteristics and numerical simulation based on a new energy index: a case study of a tunnel at 2,500 m depth. Bull Eng Geol Environ 69(3):381–388
Kaiser PK, Tannant DD, McCreath DR (1996) Canadian rockburst support handbook. Geomechanics Research Centre/Laurentian University, Sudbury
Kavzoglu T, Mather PM (2000) Using feature selection techniques to produce smaller neural networks with better generalisation capabilities. Geosci Remote Sens Symp 7:3069–3071
Li A, Dai F, Liu Y, Du HB, Jiang RC (2021) Dynamic stability evaluation of underground cavern sidewalls against flexural toppling considering excavation-induced damage. Tunn Undergr Space Technol 111:103903
Liu GF, Feng XT, Feng GL, Chen BR, Chen DF, Duan SQ (2016) A method for dynamic risk assessment and management of rockbursts in drill and blast tunnel. Rock Mech Rock Eng 49(8):3257–3279
Ma TH, Tang CA, Tang LX, Zhang WD, Wang LR (2015) Rockburst characteristics and microseismic monitoring of deep-buried tunnels for Jinping II hydropower station. Tunn Undergr Space Tech 49:345–368
Mccreary R, Mcgaughey J, Potvin Y, Ecobichon D, Hudyma M, Kanduth H (1992) Results from MS monitoring, conventional instrumentation, and tomography surveys in the creation and thinning of a burst-prone still pillar. Pure Appl Geophys 139(3):349–373
Mendecki AJ (1996) Seismic monitoring in mines. Chapman & Hall, London
Ortlepp WD, Stacey TR (1994) Rockburst mechanisms in tunnels and shafts. Tunn Undergr Sp Tech 9(1):59–65
Rayburn DB, Klimasauskas CC (1990) The use of back propagation neural networks to identify mediator-specific cardiovascular waveforms. Int. Joint Conf. Neural Netw 2:105–110
Sen S, Sezer EA, Gokceoglu C, Yagiz S (2012) On sampling strategies for small and continuous data with the modeling of genetic programming and adaptive neuro-fuzzy inference system. J Intell Fuzzy Syst 23(6):297–304
Sezer EA, Nefeslioglu HA, Gokceoglu C (2014) An assessment on producing synthetic samples by fuzzy C-means for limited number of data in prediction models. Appl Soft Comput 24:126–134
Shan ZG, Yan P (2010) Management of rock bursts during excavation of the deep tunnels in Jinping II hydropower station. Bull Eng Geol Environ 69:353–363
Sietsma J, Dow RJF (1999) Back propagation networks that generalize. Neural Netw 12:65–69
Simpson PK (1990) Artificial neural system. Pergamon Press, New York
Suchatvee S, Herbert HE (2006) Artificial neural networks for predicting the maximum surface settlement caused by EPB shield tunnelling. Tunn Undergr Sp Technol 21:133–115
Tang CA, Wang JM, Zhang JJ (2010) Preliminary engineering application of microseismic monitoring technique to rockburst prediction in tunnelling of Jinping II project. J Rock Mech Geotech Eng 2(3):193–208
Vapnik VN (1995) The nature of statistical learning theory. Springer, New York
Wang XT, Li SC, Xu ZH, Xue YG, Hu J, Li ZQ, Zhang B (2019) An interval fuzzy comprehensive assessment method for rock burst in underground caverns and its engineering application. Bull Eng Geol Environ 78:5161–5176
Xu LS, Wang LS, Li YL (2002) Study on mechanism and judgement of rockbursts. Rock Soil Mech 23(3):300–303 (in Chinese)
Xu NW, Li TB, Dai F (2016) Microseismic monitoring of strainburst activities in deep tunnels at the Jinping II hydropower station, China. Rock Mech Rock Eng 49(3):981–1000
Yu Y, Chen BR, Xu CJ, Diao XH (2016) Analysis for microseismic energy of immediate rockbursts in deep tunnels with different excavation methods. Int J Geomech 17(5):04016119
Zhang CQ, Feng XT, Zhou H, Qiu SL, Wu WP (2013) Rockmass damage development following two extremely intense rockbursts in deep tunnels at Jinping II hydropower station, southwestern China. Bull Eng Geol Environ 72:237–247
Zhang H, Chen L, Chen SG, Sun JC, Yang JS (2018) The spatiotemporal distribution law of microseismic events and rockburst characteristics of the deeply buried tunnel group. Energies 11(12):3257
Zhou J, Li XB, Shi XZ (2012) Long-term prediction model of rockburst in underground openings using heuristic algorithms and support vector machines. Saf Sci 50(4):629–644
Zhou J, Li XB, Mitri HS (2015) Comparative performance of six supervised learning methods for the development of models of hard rock pillar stability prediction. Nat Hazards 79(1):291–316
Acknowledgements
The authors are grateful for the financial supports from the Basic Research Program of Natural Science from Shaanxi Science and Technology Department (Grant No. 2019JQ-171), the National Natural Science Foundation of China (Grant No. U1965205), and the Fundamental Research Funds for the Central Universities (Grant No. 300102210110). The microseismic monitoring data involved in this paper is obtained from the institute of Rock and Soil Mechanics, Chinese Academy of Sciences. The authors would also express their sincere thanks to Professors Shi-Yong Wu and Ya-Xun Xiao, as well as Dr. Hua-Jun Ming who gave support and assistance during microseismicity monitoring in Jinping II hydropower station project.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Liu, GF., Jiang, Q., Feng, GL. et al. Microseismicity-based method for the dynamic estimation of the potential rockburst scale during tunnel excavation. Bull Eng Geol Environ 80, 3605–3628 (2021). https://doi.org/10.1007/s10064-021-02173-x
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10064-021-02173-x