Development of an Intelligent and Statistical Model for Prediction of Rock Mass Deformation Modulus
DOI:
https://doi.org/10.3759/joge.v6i2.3282Abstract
The rock mass deformation modulus (Em) takes into account the plastic and the elastic deformation of the rock mass. It has been widely used for designing structures such as dams, tunnels, caverns, and mines, etc. Since the tests available for ascertaining Em are expensive and time consuming, several equations were suggested in the past. However, it has been found that the existing models are limited to specific type of rock mass rendering constraints for its application to general use. Therefore, to cater to this need a comprehensive data set of 147 series, comprising of elastic modulus of intact rock (Ei), rock mass rating (RMR) and Em have been collected from the literature covering various types of rocks from across the globe. This data set has been used in constructing a non- linear regression (NLR) based equation to render ease to the design engineers for calculating Em. In addition to it, an intelligent model is proposed having a basis on artificial neural network (ANN). The credibility of the empirical and intelligent model has been ascertained using the R2 and RMSE. Based on these performance evaluation indices, both models have been found to predict the Em with considerable accuracy vis-à-vis the existing models. Subsequently, a chart has been designed to ascertain Em using Ei and RMR for several classes of rock mass.
References
Bieniawski, Z. T. (1978): Determining Rock Mass Deformability: Experience from Case Histories. International Journal of Rock Mechanics and Mining Sciences & Geomechanics Abstracts, vol. 15, pp. 237–48.
Bieniawski, Z. T. (1989): Engineering Rock Mass Classifications, John Wiley & Sons.
Chun, B.; Lee, Y.; Seo, D.; Lim, B. (2006): Correlation Deformation Modulus by PMT with RMR and Rock Mass Condition. Tunnelling and Underground Space Technology, vol. 21, pp. 231–32. doi:10.1016/j.tust.2005.12.011.
Chun, B.; Ryul, W.; Sagong, M.; Do, J. (2009): Indirect estimation of the rock deformation modulus based on polynomial and multiple regression analyses of the RMR system. International Journal of Rock Mechanics & Mining Sciences, vol. 46, pp. 649–658. https://doi.org/10.1016/j.ijrmms.2008.10.001
Deere, D.U.; Hendron, A.J.; Patton, F.D.; Cording, E.J. (1967): Design of Surface and near Surface Construction in Rock. In Failure and Breakage of Rock. Proceedings of the 8th US Symposium Rock Mechanics, Society of Mining Engineers, American Institute of Mining, Metallurgical and Petroleum Engineers (SAUS), pp. 237–302. New York.
Dershowitz, W. S.; Baecher, G.B.; Einstein, H.H. (1979): Prediction of Rock Mass Deformability.” Proceedings of 4th International Congress on Rock Mechanics, pp. 605–
Montreal, Canada.
Gokceoglu, C.; Sonmez, H.; Kayabasi, A. (2003): Predicting the deformation moduli of rock masses. International Journal of Rock Mechanics and Mining Sciences, vol. 40, pp. 701–710. https://doi.org/10.1016/S1365-1609(03)00062-5
Hecht-Nielsen, R. (1987): Kolmogorov’s mapping neural network existence theorem. Proceedings of the first IEEE international conference on neural networks. pp. 11–14. San Diego CA, USA.
Hoek, E.; Brown, E. T. (1997): Practical Ascertains of Rock Mass Strength. International Journal of Rock Mechanics and Mining Sciences, vol. 34, no. 8, pp. 1165–1186.
Jain, A. K.; Mao, J.; Mohiddin, K. M. (1996): Artificial neural networks: a tutorial. IEEE Computational Science & Engineering, vol. 29, no. 3, pp. 31–44. https://doi.org/10.1109/2.485891
Jong, Y.H.; Lee, C.I. (2004): Influence of geological conditions on the powder factor for tunnel blasting. International Journal of Rock Mechanics and Mining Sciences, vol. 41, no. 3, pp. 1–7.
Kayabasi, A.; Gokceoglu, C. (2018): Deformation Modulus of Rock Masses : An Assessment of the Existing Empirical Equations. Geotechnical and Geological
Engineering, vol. 36, no. 4, pp. 2683–2699. https://doi.org/10.1007/s10706-018-0491-1
Khabbazi, A.; Ghafoori, M.; Lashkaripour, G. R.; Cheshomi, A. (2013): Estimation of the rock mass deformation modulus using a rock classification system. Geomechanics and Geoengineering: An International Journal, vol. 8, no. 1, pp. 46–52. https://doi.org/10.1080/17486025.2012.695089
Khandelwal, M.; Singh, T. N. (2007): Evaluation of blast-induced ground vibration predictors. Soil Dynamics and Earthquake Engineering, vol. 27, pp. 116–125. https://doi.org/10.1016/j.soildyn.2006.06.004
Majdi, A.; Rezaei, M. (2013): Prediction of unconfined compressive strength of rock surrounding a roadway using artificial neural network. Neural Computing and Applications, vol. 23, no. 2, pp. 381–389. https://doi.org/10.1007/s00521-012-0925-2
Mehrotra, V. K. (1992): Estimation of engineering properties of rock mass, PhD Thesis. IIT Roorkee.
Mitri, H. S.; Edrissi, R.; Henning, J. (1994): Finite element modelling of cable-bolted slopes in hard rock ground mines. Presented at the SME annual meeting. pp. 94–116. Albuquerque, New Mexico.
Monjezi, M.; Ahmadi, M.; Sheikhan, M.; Bahrami, A.; Salimi, A. R. (2010): Predicting blast-induced ground vibration using various types of neural networks. Soil Dynamics and Earthquake Engineering, vol. 30, no. 11, pp. 1233–1236.
https://doi.org/10.1016/j.soildyn.2010.05.005
Murmu, S.; Maheshwari, P.; Verma, H. K. (2018): Empirical and probabilistic analysis of blast-induced ground vibrations. International Journal of Rock Mechanics and Mining Sciences, vol. 103, pp. 267–274. https://doi.org/10.1016/j.ijrmms.2018.01.038
Nicholson, G.; Bieniawski, Z. T. (1990): A non-linear deformation modulus based on rock mass classification. International Journal of Mining and Geological Engineering, vol. 8, pp. 181–202.
Palmstrom, A.; Singh, R. (2001): The deformation modulus of rock masses-comparisons between in situ tests and indirect ascertains. Tunnelling and Underground Space Technology, vol. 16, pp. 115–131.
Panthee, S.; Singh, P. K.; Kainthola, A.; Singh, T. N. (2016): Control of rock joint parameters on deformation of tunnel opening. Journal of Rock Mechanics and Geotechnical Engineering, vol. 8, no. 4, pp. 489–498.
https://doi.org/10.1016/j.jrmge.2016.03.003
Ramamurthy, T. (2004): A geo-engineering classification for rocks and rock masses. International Journal of Rock Mechanics and Mining Sciences, vol. 41, pp. 89–101. https://doi.org/10.1016/S1365-1609(03)00078-9
Read, S. A. L.; Richards, L. R.; Perrin, N. D. (1999): Applicability of the Hoek-Brown
failure criterion to New Zealand grey wacke rocks. In I. G. V. & P. B. (Eds.) (Ed.), Pro- ceedings of The Nineth International Congress on Rock Mechanics, pp. 655–660. Paris.
Rezaei, M. (2018): Development of an intelligent model to ascertain the height of caving
– fracturing zone over the longwall gobs. Neural Computing and Applications, vol. 30, no. 7, pp. 2145–2158. https://doi.org/10.1007/s00521-016-2809-3
Rezaei, M.; Monjezi, M. (2012): Burden prediction in blasting operation using rock geomechanical properties. Arabian Journal of Geosciences, vol. 5, pp. 1031–1037. https://doi.org/10.1007/s12517-010-0269-0
Sayadi, A. R.; Tavassoli, S. M. M.; Monjezi, M.; Rezaei, M. (2014): Application of neural networks to predict net present value in mining projects. Arabian Journal of Geosciences, vol. 7, no. 3, pp. 1067–1072. https://doi.org/10.1007/s12517-012-0750-z
Schalkoff, R. J. (1997): Artificial neural network, McGraw- Hill:New York.
Serafim, J. L.; Pereira, J. P. (1983): Consideration of the geomechanics classification of Bieniawski. Proceedings of International Symposium on Engineering Geology and Underground Constructions, vol. 1, pp. 1133–1144. Laboratorio National De Engenharia Civil, Lisbon, Spain. A.A. Balkema, Rotterdam, the Netherlands.
Sonmez, H.; Gokceoglu, C.; Nefeslioglu, H. A.; Kayabasi, A. (2006): Estimation of rock modulus : For intact rocks with an artificial neural network and for rock masses with a new empirical equation. International Journal of Rock Mechanics and Mining Sciences, vol. 43, pp. 224–235. https://doi.org/10.1016/j.ijrmms.2005.06.007
Zhang, L. (2004): Drilled shafts in rock – analysis and design, London: A. A. Balkema Publishers.
Zhang, L. (2016): Engineering Properties of Rocks (2nd Edition), Elsevier: Butterworth- Heinemann.
Zhang, L. (2017): Evaluation of rock mass deformability using empirical methods – A review. Underground Space, vol. 2, no. 1, pp. 1–15.
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