Skip to main content

Advertisement

Log in

Evolving support vector regression using Grey Wolf optimization; forecasting the geomechanical properties of rock

  • Original Article
  • Published:
Engineering with Computers Aims and scope Submit manuscript

Abstract

The geomechanical properties of rock, including shear strength (SS) and uniaxial compressive strength (UCS), are very important parameters in designing rock structures. To improve the accuracy of SS and UCS prediction, this study presented an evolving support vector regression (SVR) using Grey Wolf optimization (GWO). To examine the feasibility and applicability of the SVR-GWO model, the differential evolution (DE) and artificial bee colony (ABC) algorithms were also used. In other words, the SVR hyperparameters were tuned using the GWO, DE, and ABC algorithms. To implement the proposed models, a comprehensive database accessible in an open-source was used in this study. Finally, the comparative experiments such as root mean square error (RMSE) were conducted to show the superiority of the proposed models. The SVR-GWO model predicted the SS and UCS with RMSE of 0.460 and 3.208, respectively, while, the SVR-DE model predicted the SS and UCS with RMSE of 0.542 and 5.4, respectively. Furthermore, the SVR-ABC model predicted the SS and UCS with RMSE of 0.855 and 5.033, respectively. The aforementioned results clearly exhibited the applicability as well as the usability of the proposed SVR-GWO model in the prediction of both SS and UCS parameters. Accordingly, the SVR-GWO model can be also applied to solving various complex systems, especially in geotechnical and mining fields.

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. Jaksa MB (1995) The influence of spatial variability on the geotechnical design properties of a stiff, over consolidated clay. PhD thesis, The University of Adelaide, Adelaide

  2. Singh TN, Kanchan R, Verma AK, Saigal K (2005) A comparative study of ANN and neuro-fuzzy for the prediction of dynamic constant of rockmass. J Earth Syst Sci 114(1):75–86

    Google Scholar 

  3. Sarkar K, Singh TN, Reddy DV (2009) Prediction of strength parameters by dynamic wave. Int J Earth Sci Eng 2(1):12–19

    Google Scholar 

  4. Inoue M, Ohomi M (1981) Relation between uniaxial compressive strength and elastic wave velocity of soft rock. In: Mayashi M, Nishimatsu Y (eds) Akai K. Proc of the Int Symp on weak rock, Tokyo, pp 9–13

    Google Scholar 

  5. Singh TN, Dubey RK (2000) A study of transmission velocity of primary wave (P-Wave) in coal measures sandstone. J Sci Ind Res India 59:482–486

    Google Scholar 

  6. Singh TN, Kanchan R, Saigal K, Verma AK (2004) Prediction of P-wave velocity and anisotropic properties of rock using Artificial Neural Networks technique. J Sci Ind Res 63(1):32–38

    Google Scholar 

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

    Google Scholar 

  8. Hasanipanah M, Armaghani DJ, Amnieh HB, Majid MZA, Tahir MMD (2017) Application of PSO to develop a powerful equation for prediction of flyrock due to blasting. Neural Comput Appl 28(1):1043–1050

    Google Scholar 

  9. Zhou J, Shi X, Du K, Qiu X, Li X, Mitri HS (2017) Feasibility of random-forest approach for prediction of ground settlements induced by the construction of a shield-driven tunnel. Int J Geomech 17(6):04016129

    Google Scholar 

  10. Hasanipanah M, Bakhshandeh Amnieh H, Arab H, Zamzam MS (2018) Feasibility of PSO–ANFIS model to estimate rock fragmentation produced by mine blasting. Neural Comput Appl 30(4):1015–1024

    Google Scholar 

  11. Hasanipanah M, Faradonbeh RS, Armaghani DJ, Amnieh HB, Khandelwal M (2017) Development of a precise model for prediction of blast-induced flyrock using regression tree technique. Environ Earth Sci 76(1):27

    Google Scholar 

  12. Zhou J, Li X, Mitri HS (2018) Evaluation method of rockburst: state-of-the-art literature review. Tunn Undergr Space Technol 81:632–659

    Google Scholar 

  13. Hasanipanah M, Naderi R, Kashir J, Noorani SA, Aaq Qaleh AZ (2017) Prediction of blast produced ground vibration using particle swarm optimization. Eng Comput 33(2):173–179

    Google Scholar 

  14. Hasanipanah M, Shahnazar A, Amnieh HB, Armaghani DJ (2017) Prediction of air-overpressure caused by mine blasting using a new hybrid PSO–SVR model. Eng Comput 33(1):23–31

    Google Scholar 

  15. Yang H, Hasanipanah M, Tahir MM, Bui DT (2019) Intelligent prediction of blasting-induced ground vibration using ANFIS optimized by GA and PSO. Nat Resour Res. https://doi.org/10.1007/s11053-019-09515-3

    Article  Google Scholar 

  16. Yang H, Nikafshan Rad H, Hasanipanah M, Amnieh HB, Nekouie A (2019) Prediction of vibration velocity generated in mine blasting using support vector regression improved by optimization algorithms. Nat Resour Res. https://doi.org/10.1007/s11053-019-09597-z

    Article  Google Scholar 

  17. Zhou J, Nekouie A, Arslan CA, Pham BT, Hasanipanah M (2019) Novel approach for forecasting the blast induced AOp using a hybrid fuzzy system and firefly algorithm. Eng Comput. https://doi.org/10.1007/s00366-019-00725-0

    Article  Google Scholar 

  18. Ye J, Dalle J, Nezami R, Hasanipana M, Jahed A (2020) Stochastic fractal search-tuned ANFIS model to predict blast-induced air overpressure. Eng Comput. https://doi.org/10.1007/s00366-020-01085-w

    Article  Google Scholar 

  19. Zhou J, Li E, Wei H, Li C, Qiao Q, Armaghani DJ (2019) Random forests and cubist algorithms for predicting shear strengths of rockfill materials. Appl Sci 9:1621. https://doi.org/10.3390/app9081621

    Article  Google Scholar 

  20. Zhou J, Li C, Arslan CA, Hasanipanah M, Amnieh HB (2019) Performance evaluation of hybrid FFA-ANFIS and GA-ANFIS models to predict particle size distribution of a muck-pile after blasting. Eng Comput. https://doi.org/10.1007/s00366-019-00822-0

    Article  Google Scholar 

  21. Amiri M, Hasanipanah M, Amnieh HB (2019) Predicting ground vibration induced by rock blasting using a novel hybrid of neural network and itemset mining. Neural Comput Appl. https://doi.org/10.1007/s00521-020-04822-w

    Article  Google Scholar 

  22. Ding X, Hasanipanah M, Rad HN, Zhou W (2020) Predicting the blast-induced vibration velocity using a bagged support vector regression optimized with firefly algorithm. Eng Comput. https://doi.org/10.1007/s00366-020-00937-9

    Article  Google Scholar 

  23. Gao W, Karbasi M, Hasanipanah M, Zhang X, Guo J (2018) Developing GPR model for forecasting the rock fragmentation in surface mines. Eng Comput 34(2):339–345

    Google Scholar 

  24. Wang M, Shi X, Zhou J (2018) Charge design scheme optimization for ring blasting based on the developed Scaled Heelan model. Int J Rock Mech Min Sci 110:199–209

    Google Scholar 

  25. Zhou J, Li E, Wang M, Chen X, Shi X, Jiang L (2019) Feasibility of stochastic gradient boosting approach for evaluating seismic liquefaction potential based on SPT and CPT Case histories. J Perform Constr Facil 33(3):04019024. https://doi.org/10.1061/(ASCE)CF.1943-5509.00012.92

    Article  Google Scholar 

  26. Zhou J, Li E, Yang S, Wang M, Shi X, Yao S, Mitri HS (2019) Slope stability prediction for circular mode failure using gradient boosting machine approach based on an updated database of case histories. Saf Sci 118:505–518

    Google Scholar 

  27. Lu X, Hasanipanah M, Brindhadevi K et al (2020) ORELM: a novel machine learning approach for prediction of flyrock in mine blasting. Nat Resour Res 29:641–654

    Google Scholar 

  28. Manouchehrian A, Sharifzadeh M, Hamidzadeh Moghadam R (2012) Application of artificial neural networks and multivariate statistics to estimate UCS using textural characteristics. Int J Min Sci Technol 22:229–236

    Google Scholar 

  29. Tinoco J, Correia AG, Cortez P (2014) Support vector machines applied to uniaxial compressive strength prediction of jet grouting columns. Comput Geotech 55:132–140

    Google Scholar 

  30. Koolivand-Salooki M, Esfandyari M, Rabbani E, Koulivand M, Azarmehr A (2017) Application of genetic programing technique for predicting uniaxial compressive strength using reservoir formation properties. J Petrol Sci Eng 159:35–48

    Google Scholar 

  31. Umrao RK, Sharma LK, Singh R, Singh TN (2018) Determination of strength and modulus of elasticity of heterogenous sedimentary rocks: an ANFIS predictive technique. Measurement 126:194–201

    Google Scholar 

  32. Fattahi H (2017) Applying soft computing methods to predict the uniaxial compressive strength of rocks from schmidt hammer rebound values. Comput Geosci 21:665–681

    MathSciNet  Google Scholar 

  33. Ghasemi E, Kalhori H, Bagherpour R, Yagiz S (2018) Model tree approach for predicting uniaxial compressive strength and Young’s modulus of carbonate rocks. Bull Eng Geol Environ 77:331–343

    Google Scholar 

  34. Saedi B, Mohammadi SD, Shahbazi H (2018) Prediction of uniaxial compressive strength and elastic modulus of migmatites using various modeling techniques. Arab J Geosci 11:574

    Google Scholar 

  35. Mokhtari M, Behnia M (2019) Comparison of LLNF, ANN, and COA-ANN techniques in modeling the uniaxial compressive strength and static Young’s modulus of limestone of the Dalan formation. Nat Resour Res 28:223–239

    Google Scholar 

  36. Asheghi R, Abbaszadeh Shahri A, Khorsand Zak M (2019) Prediction of uniaxial compressive strength of different quarried rocks using metaheuristic algorithm. Arab J Sci Eng 44:8645–8659

    Google Scholar 

  37. Jing H, Rad HN, Hasanipanah M, Armaghani DJ, Qasem SN (2020) Design and implementation of a new tuned hybrid intelligent model to predict the uniaxial compressive strength of the rock using SFS-ANFIS. Eng Comput. https://doi.org/10.1007/s00366-020-00977-1

    Article  Google Scholar 

  38. Ceryan N, Samui P (2020) Application of soft computing methods in predicting uniaxial compressive strength of the volcanic rocks with different weathering degree. Arab J Geosci 13:288. https://doi.org/10.1007/s12517-020-5273-4

    Article  Google Scholar 

  39. Zhang J, Li D, Wang Y (2020) Predicting uniaxial compressive strength of oil palm shell concrete using a hybrid artificial intelligence model. J Build Eng 30:101282

    Google Scholar 

  40. Barzegar R, Sattarpour M, Deo R et al (2020) An ensemble tree-based machine learning model for predicting the uniaxial compressive strength of travertine rocks. Neural Comput Appl 32:9065–9080. https://doi.org/10.1007/s00521-019-04418-z

    Article  Google Scholar 

  41. Kainthola A, Singh PK, Verma D, Singh R, Sarkar K, Singh TN (2015) Prediction of strength parameters of himalayan rocks: a statistical and ANFIS approach. Geotech Geol Eng. https://doi.org/10.1007/s10706-015-9899-z

    Article  Google Scholar 

  42. Narula PL, Shanker R, Chopra C (2000) Rupture mechanism of Chamoli earthquake of 29th March 1999 and its implications for seismotectonics of Garwal Himalaya. J Geol Soc India 55(5):493–503

    Google Scholar 

  43. Sarkar K, Tiwary A, Singh TN (2010) Estimation of strength parameters of rock using artificial neural networks. Bull Eng Geol Environ 69:599–606

    Google Scholar 

  44. Singh PK, Kainthola A, Singh TN (2015) Rock mass assessment along the right bank of river Sutlej, Luhri, Himachal Pradesh, India. Int J Geomat Nat Hazard Risk 6(3):212–223

    Google Scholar 

  45. Vapnik V (2013) The nature of statistical learning theory. Springer, Berlin

    MATH  Google Scholar 

  46. Ahmadi M-A, Pouladi B, Javvi Y, Alfkhani S, Soleimani R (2015) Connectionist technique estimates H2S solubility in ionic liquids through a low parameter approach. J Supercrit Fluids 97:81–87

    Google Scholar 

  47. Shaahmadi F, Anbaz MA, Bazooyar B (2017) Analysis of intelligent models in prediction nitrous oxide (N2O) solubility in ionic liquids (ILs). J Mol Liq 246:48–57

    Google Scholar 

  48. Hemmati-Sarapardeh A, Mahmoudi B, Mohammadi AH (2014) Experimental measurement and modeling of saturated reservoir oil viscosity. Korean J Chem Eng 31:1253–1264

    Google Scholar 

  49. Ghazani SHHN, Baghban A, Mohammadi AH, Habibzadeh S (2018) Absorption of CO2-rich gaseous mixtures in ionic liquids: a computational study. J Supercrit Fluids 133:455–465

    Google Scholar 

  50. Nait Amar M, Zeraibi N (2018) Application of hybrid support vector regression artificial bee colony for prediction of MMP in CO2-EOR process. Petroleum. https://doi.org/10.1016/j.petlm.2018.08.001

    Article  Google Scholar 

  51. Samani NN, Miforughy SM, Safari H, Mohammadzadeh O, Panahbar MH, Zendehboudi S (2019) Solubility of hydrocarbon and non-hydrocarbon gases in aqueous electrolyte solutions: a reliable computational strategy. Fuel 241:1026–1035

    Google Scholar 

  52. Tatar A, Barati A, Yarahmadi A, Najafi A, Lee M, Bahadori A (2016) Prediction of carbon dioxide solubility in aqueous mixture of methyldiethanolamine and N-methylpyrrolidone using intelligent models. Int J Greenh Gas Control 47:122–136

    Google Scholar 

  53. Baghban A, Mohammadi AH, Taleghani MS (2017) Rigorous modeling of CO2 equilibrium absorption in ionic liquids. Int J Greenh Gas Control 58:19–41

    Google Scholar 

  54. Cortes C, Vapnik V (1995) Support-vector networks. Mach Learn 20:273–297

    MATH  Google Scholar 

  55. Yuan X, Chen C, Yuan Y, Huang Y, Tan Q (2015) Short-term wind power prediction based on LSSVM–GSA model. Energy Convers Manag 101:393–401

    Google Scholar 

  56. Luo Z, Hasanipanah M, Amnieh HB, Brindhadevi K, Tahir MM (2019) GA-SVR: a novel hybrid data-driven model to simulate vertical load capacity of driven piles. Eng Comput. https://doi.org/10.1007/s00366-019-00858-2

    Article  Google Scholar 

  57. Abbaszadeh Shahri A, Maghsoudi Moud F, Mirfallah Lialestani S (2020) A hybrid computing model to predict rock strength index properties using support vector regression. Eng Comput. https://doi.org/10.1007/s00366-020-01078-9

    Article  Google Scholar 

  58. Zaghloul MS et al (2020) Comparison of adaptive neuro-fuzzy inference systems (ANFIS) and support vector regression (SVR) for data-driven modelling of aerobic granular sludge reactors. J Environ Chem Eng. https://doi.org/10.1016/j.jece.2020.103742

    Article  Google Scholar 

  59. Yu Z, Shi X, Zhou J et al (2020) Prediction of blast-induced rock movement during bench blasting: use of Gray wolf optimizer and support vector regression. Nat Resour Res 29:843–865. https://doi.org/10.1007/s11053-019-09593-3

    Article  Google Scholar 

  60. Hanzelik PP, Gergely S, Gáspár C, Győry L (2019) Machine learning methods to predict solubilities of rock samples. J Chemom. https://doi.org/10.1002/cem.3198

    Article  Google Scholar 

  61. Alade IO et al (2020) Application of support vector regression and artificial neural network for prediction of specific heat capacity of aqueous nanofluids of copper oxide. Sol Energy. https://doi.org/10.1016/j.solener.2019.12.067

    Article  Google Scholar 

  62. Nait Amar M, Zeraibi N (2020) A combined support vector regression with firefly algorithm for prediction of bottom hole pressure. SN Appl Sci 2(1):23. https://doi.org/10.1007/s42452-019-1835-z

    Article  Google Scholar 

  63. Nait Amar M, Zeraibi N, Jahanbani Ghahfarokhi A (2020) Applying hybrid support vector regression and genetic algorithm to water alternating CO2 gas EOR. Greenh Gases Sci Technol 10:613–630

    Google Scholar 

  64. Storn R (1996) Differential evolution design of an IIR-filter. IEEE Int Conf Evol Comput IEEE. https://doi.org/10.1109/ICEC.1996.542373

    Article  Google Scholar 

  65. Storn R, Price K (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11:341–359. https://doi.org/10.1023/A:1008202821328

    Article  MathSciNet  MATH  Google Scholar 

  66. Karaboga D (2005) An idea based on honey bee swarm for numerical optimization. Technical Report-TR06, Erciyes University, Engineering Faculty, Computer Engineering Department

  67. Karaboga D, Basturk B (2007) A powerful and efficient algorithm for numerical function optimization: artificial bee colony (ABC) algorithm. J Glob Optim 39:459–471. https://doi.org/10.1007/s10898-007-9149-x

    Article  MathSciNet  MATH  Google Scholar 

  68. Mirjalili S, Mirjalili SM, Lewis A (2014) Grey Wolf optimizer. Adv Eng Softw 69:46–61

    Google Scholar 

  69. Faris H, Aljarah I, Al-Betar MA, Mirjalili S (2018) Grey wolf optimizer: a review of recent variants and applications. Neural Comput Appl 30:413–435

    Google Scholar 

  70. Emary E, Yamany W, Hassanien AE, Snasel V (2015) Multi-objective gray-wolf optimization for attribute reduction. Procedia Comput Sci 65:623–632

    Google Scholar 

  71. Menad NA, Noureddine Z, Hemmati-Sarapardeh A, Shamshirband S (2019) Modeling temperature-based oil-water relative permeability by integrating advanced intelligent models with grey wolf optimization: application to thermal enhanced oil recovery processes. Fuel 242:649–663

    Google Scholar 

  72. Monjezi M, Hasanipanah M, Khandelwal M (2013) Evaluation and prediction of blast-induced ground vibration at Shur River Dam, Iran, by artificial neural network. Neural Comput Appl 22(7–8):1637–1643

    Google Scholar 

  73. Nikafshan Rad H, Hasanipanah M, Rezaei M, Eghlim AL (2019) Developing a least squares support vector machine for estimating the blast-induced flyrock. Eng Comput 34(4):709–717

    Google Scholar 

  74. Sun G, Hasanipanah M, Amnieh HB, Foong LK (2019) Feasibility of indirect measurement of bearing capacity of driven piles based on a computational intelligence technique. Measurement 156:107577

    Google Scholar 

  75. Sarir P, Chen J, Asteris PG, Armaghani DJ, Tahir MM (2019) Developing GEP tree-based, neuro-swarm, and whale optimization models for evaluation of bearing capacity of concrete-filled steel tube columns. Eng Comput. https://doi.org/10.1007/s00366-019-00808-y

    Article  Google Scholar 

  76. Jiang W, Arslan CA, Tehrani MS, Khorami M, Hasanipanah M (2019) Simulating the peak particle velocity in rock blasting projects using a neuro-fuzzy inference system. Eng Comput 35(4):1203–1211

    Google Scholar 

  77. Keshtegar B, Hasanipanah M, Bakhshayeshi I, Sarafraz ME (2019) A novel nonlinear modeling for the prediction of blast induced airblast using a modified conjugate FR method. Measurement 131:35–41

    Google Scholar 

  78. Mojtahedi SFF, Ebtehaj I, Hasanipanah M, Bonakdari H, Amnieh HB (2019) Proposing a novel hybrid intelligent model for the simulation of particle size distribution resulting from blasting. Eng Comput 35(1):47–56

    Google Scholar 

  79. Gou Y, Shi X, Zhou J, Qiu X, Chen X, Huo X (2020) Attenuation assessment of blast-induced vibrations derived from an underground mine. Int J Rock Mech Min Sci 127:104220

    Google Scholar 

  80. Hasanipanah M, Amnieh HB (2020) Developing a new uncertain rule-based fuzzy approach for evaluating the blast-induced backbreak. Eng Comput. https://doi.org/10.1007/s00366-019-00919-6

    Article  Google Scholar 

  81. Hasanipanah M, Bakhshandeh Amnieh H (2020) A fuzzy rule based approach to address uncertainty in risk assessment and prediction of blast-induced flyrock in a quarry. Nat Resour Res. https://doi.org/10.1007/s11053-020-09616-4

    Article  Google Scholar 

  82. Hasanipanah M, Keshtegar B, Thai DK, Troung NT (2020) An ANN-adaptive dynamical harmony search algorithm to approximate the flyrock resulting from blasting. Eng Comput. https://doi.org/10.1007/s00366-020-01105-9

    Article  Google Scholar 

  83. Hasanipanah M, Zhang W, Armaghani DJ, Rad HN (2020) The potential application of a new intelligent based approach in predicting the tensile strength of rock. IEEE Access 8:57148–57157

    Google Scholar 

  84. Zhou J, Qiu Y, Zhu S, Jahed Armaghani D, Khandelwal M, Mohamad ET (2020) Estimating TBM advance rate in hard rock condition using XGBoost and Bayesian optimization. Underground Space. https://doi.org/10.1016/j.undsp.2020.05.008

    Article  Google Scholar 

  85. Zhou J, Li C, Koopialipoor M, Jahed Armaghani D, Thai Pham B (2020) Development of a new methodology for estimating the amount of PPV in surface mines based on prediction and probabilistic models (GEP-MC). Int J Min Reclam Environ. https://doi.org/10.1080/17480930.2020.1734151

    Article  Google Scholar 

  86. Zhou J, Guo H, Koopialipoor M, Armaghani DJ, Tahir MM (2020) Investigating the effective parameters on the risk levels of rockburst phenomena by developing a hybrid heuristic algorithm. Eng Comput. https://doi.org/10.1007/s00366-019-00908-9

    Article  Google Scholar 

  87. Chen G, Fu K, Liang Z, Sema T, Li C, Tontiwachwuthikul P et al (2014) The genetic algorithm based back propagation neural network for MMP prediction in CO2-EOR process. Fuel 126:202–212

    Google Scholar 

  88. Hajirezaie S, Hemmati-Sarapardeh A, Mohammadi AH, Pournik M, Kamari A (2015) A smooth model for the estimation of gas/vapor viscosity of hydrocarbon fluids. J Nat Gas Sci Eng 26:1452–1459

    Google Scholar 

  89. Shateri M, Ghorbani S, Hemmati-Sarapardeh A, Mohammadi AH (2015) Application of Wilcoxon generalized radial basis function network for prediction of natural gas compressibility factor. J Taiwan Inst Chem Eng 50:131–141

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mahdi Hasanipanah.

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

Xu, C., Nait Amar, M., Ghriga, M.A. et al. Evolving support vector regression using Grey Wolf optimization; forecasting the geomechanical properties of rock. Engineering with Computers 38, 1819–1833 (2022). https://doi.org/10.1007/s00366-020-01131-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00366-020-01131-7

Keywords

Navigation