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Erschienen in: Engineering with Computers 4/2016

01.10.2016 | Original Article

Application of improved support vector regression model for prediction of deformation modulus of a rock mass

verfasst von: Hadi Fattahi

Erschienen in: Engineering with Computers | Ausgabe 4/2016

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Abstract

Deformation modulus of a rock mass is one of the crucial parameters used in the design of surface and underground rock engineering structures. Determination of this parameter by testing cylindrical core samples is almost impossible due to the presence of discontinuities. Due to the problems in determining the deformability of jointed rock masses at the laboratory-scale, various in situ test methods such as plate loading tests, dilatometer etc. have been developed. Although these methods are currently the best techniques, they are expensive and time-consuming, and present operational problems. To overcome this difficulty, in this paper, presents the results of the application of hybrid support vector regression (SVR) with harmony search algorithm , differential evolution algorithm and particle swarm optimization algorithm (PSO). The optimized models were applied to available data given in open source literature and the performance of optimization algorithm was assessed by virtue of statistical criteria. In these models, rock mass rating (RMR), depth, uniaxial compressive strength of intact rock (UCS) and elastic modulus of intact rock (E i) were utilized as the input parameters, while the deformation modulus of a rock mass was the output parameter. The comparative results revealed that hybrid of PSO and SVR yield robust model which outperform other models in term of higher squared correlation coefficient (R 2) and variance account for (VAF) and lower mean square error (MSE), root mean squared error (RMSE) and mean absolute percentage error (MAPE).

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Literatur
1.
Zurück zum Zitat Gholamnejad J, Bahaaddini H, Rastegar M (2013) Prediction of the deformation modulus of rock masses using artificial neural networks and regression methods. J Min Environ 4(1):35–43 Gholamnejad J, Bahaaddini H, Rastegar M (2013) Prediction of the deformation modulus of rock masses using artificial neural networks and regression methods. J Min Environ 4(1):35–43
2.
Zurück zum Zitat Hoek E, Diederichs M (2006) Empirical estimation of rock mass modulus. Int J Rock Mech Min Sci 43(2):203–215CrossRef Hoek E, Diederichs M (2006) Empirical estimation of rock mass modulus. Int J Rock Mech Min Sci 43(2):203–215CrossRef
3.
Zurück zum Zitat Barton N, Lien R, Lunde J (1974) Engineering classification of rock masses for the design of tunnel support. Rock Mech 6(4):189–236CrossRef Barton N, Lien R, Lunde J (1974) Engineering classification of rock masses for the design of tunnel support. Rock Mech 6(4):189–236CrossRef
4.
Zurück zum Zitat Bieniawski Z (1973) Engineering classification of rock masses. Trans S Afr Inst Civ Eng 15(12):335–344 Bieniawski Z (1973) Engineering classification of rock masses. Trans S Afr Inst Civ Eng 15(12):335–344
5.
Zurück zum Zitat Hoek E, Brown E (1997) Practical estimates of rock mass strength. Int J Rock Mech Min Sci 34(8):1165–1186CrossRef Hoek E, Brown E (1997) Practical estimates of rock mass strength. Int J Rock Mech Min Sci 34(8):1165–1186CrossRef
6.
Zurück zum Zitat Byung-sik C, Woong R (2009) Indirect estimation of the rock deformation modulus based on polynomial and multiple regression analyses of the RMR system. Int J Rock Mech Min Sci 6:649–658 Byung-sik C, Woong R (2009) Indirect estimation of the rock deformation modulus based on polynomial and multiple regression analyses of the RMR system. Int J Rock Mech Min Sci 6:649–658
7.
Zurück zum Zitat Lagina Serafim J, Pereira J (1983) Considerations on the geomechanical classification of Beniawski. In: International symposium on engineering geology and underground construction, pp II. 33–II. 42 Lagina Serafim J, Pereira J (1983) Considerations on the geomechanical classification of Beniawski. In: International symposium on engineering geology and underground construction, pp II. 33–II. 42
8.
Zurück zum Zitat Verman M, Singh B, Viladkar M, Jethwa J (1997) Effect of tunnel depth on modulus of deformation of rock mass. Rock Mech Rock Eng 30(3):121–127CrossRef Verman M, Singh B, Viladkar M, Jethwa J (1997) Effect of tunnel depth on modulus of deformation of rock mass. Rock Mech Rock Eng 30(3):121–127CrossRef
9.
Zurück zum Zitat Nicholson G, Bieniawski Z (1990) A nonlinear deformation modulus based on rock mass classification. Int J Min Geo Eng 8(3):181–202CrossRef Nicholson G, Bieniawski Z (1990) A nonlinear deformation modulus based on rock mass classification. Int J Min Geo Eng 8(3):181–202CrossRef
10.
Zurück zum Zitat Mehrotra V (1992) Estimation of engineering parameters of rock mass. PhD thesis. University of Roorkee, Roorkee, India Mehrotra V (1992) Estimation of engineering parameters of rock mass. PhD thesis. University of Roorkee, Roorkee, India
11.
Zurück zum Zitat Diederichs M, Kaiser P (1999) Stability of large excavations in laminated hard rock masses: the voussoir analogue revisited. Int J Rock Mech Min Sci 36(1):97–117CrossRef Diederichs M, Kaiser P (1999) Stability of large excavations in laminated hard rock masses: the voussoir analogue revisited. Int J Rock Mech Min Sci 36(1):97–117CrossRef
12.
Zurück zum Zitat Read S, Richards L, Penin N (1999) Applicability of the Hock-Brown failure criterion to NewZealand greywacke rocks. In: Proceedings of the ninth international congress on rock mechanics, Paris, August 1999. pp 655–660 Read S, Richards L, Penin N (1999) Applicability of the Hock-Brown failure criterion to NewZealand greywacke rocks. In: Proceedings of the ninth international congress on rock mechanics, Paris, August 1999. pp 655–660
13.
Zurück zum Zitat Kim G (1993) Revaluation of geomechanics classification of rock masses. In: Proceedings of the Korean geotechnical society of spring national conference, Seoul, pp 33–40 Kim G (1993) Revaluation of geomechanics classification of rock masses. In: Proceedings of the Korean geotechnical society of spring national conference, Seoul, pp 33–40
14.
Zurück zum Zitat Mitri H, Edrissi R, Henning J (1995) Finite-element modeling of cable-bolted stopes in hard-rock underground mines. Trans-soc min metall explor inc 298:1897–1902 Mitri H, Edrissi R, Henning J (1995) Finite-element modeling of cable-bolted stopes in hard-rock underground mines. Trans-soc min metall explor inc 298:1897–1902
15.
Zurück zum Zitat Grimstad E, Barton N (1993) Updating the Q-system for NMT. In: Proceedings international symposium on sprayed concrete-modern use of wet mix sprayed concrete for underground support, pp 46–66 Grimstad E, Barton N (1993) Updating the Q-system for NMT. In: Proceedings international symposium on sprayed concrete-modern use of wet mix sprayed concrete for underground support, pp 46–66
16.
Zurück zum Zitat Barton N (2002) Some new Q value correlations to assist in site characterization and tunnel design. Int J Rock Mech Min Sci 39(2):185–216MathSciNetCrossRef Barton N (2002) Some new Q value correlations to assist in site characterization and tunnel design. Int J Rock Mech Min Sci 39(2):185–216MathSciNetCrossRef
17.
Zurück zum Zitat Hoek E, Carranza-Torres C, Corkum B (2002) Hoek-Brown failure criterion-2002 edition. In: Proceedings NARMS-TAC conference, Toronto, pp 267–273 Hoek E, Carranza-Torres C, Corkum B (2002) Hoek-Brown failure criterion-2002 edition. In: Proceedings NARMS-TAC conference, Toronto, pp 267–273
18.
Zurück zum Zitat Sonmez H, Ulusay R, Gokceoglu C (2004) Indirect determination of the modulus of deformation of rock masses based on the GSI system. Int J Rock Mech Min Sci 5:849–857CrossRef Sonmez H, Ulusay R, Gokceoglu C (2004) Indirect determination of the modulus of deformation of rock masses based on the GSI system. Int J Rock Mech Min Sci 5:849–857CrossRef
19.
Zurück zum Zitat Gardner WS (1987) Design of drilled piers in the Atlantic Piedmont. In: Foundations and excavations in decomposed rock of the piedmont province, ASCE, pp 62–86 Gardner WS (1987) Design of drilled piers in the Atlantic Piedmont. In: Foundations and excavations in decomposed rock of the piedmont province, ASCE, pp 62–86
20.
Zurück zum Zitat Zhang L, Einstein H (2004) Using RQD to estimate the deformation modulus of rock masses. Int J Rock Mech Min Sci 41(2):337–341CrossRef Zhang L, Einstein H (2004) Using RQD to estimate the deformation modulus of rock masses. Int J Rock Mech Min Sci 41(2):337–341CrossRef
21.
Zurück zum Zitat Palmström A, Singh R (2001) The deformation modulus of rock masses—comparisons between in situ tests and indirect estimates. Tunn Undergr Sp Tech 16(2):115–131CrossRef Palmström A, Singh R (2001) The deformation modulus of rock masses—comparisons between in situ tests and indirect estimates. Tunn Undergr Sp Tech 16(2):115–131CrossRef
22.
Zurück zum Zitat Gokceoglu C, Sonmez H, Kayabasi A (2003) Predicting the deformation moduli of rock masses. Int J Rock Mech Min Sci 40(5):701–710CrossRef Gokceoglu C, Sonmez H, Kayabasi A (2003) Predicting the deformation moduli of rock masses. Int J Rock Mech Min Sci 40(5):701–710CrossRef
23.
Zurück zum Zitat Kayabasi A, Gokceoglu C, Ercanoglu M (2003) Estimating the deformation modulus of rock masses: a comparative study. Int J Rock Mech Min Sci 40(1):55–63CrossRef Kayabasi A, Gokceoglu C, Ercanoglu M (2003) Estimating the deformation modulus of rock masses: a comparative study. Int J Rock Mech Min Sci 40(1):55–63CrossRef
24.
Zurück zum Zitat Yilmaz I, Yuksek G (2009) Prediction of the strength and elasticity modulus of gypsum using multiple regression, ANN, and ANFIS models. Int J Rock Mech Min Sci 46(4):803–810CrossRef Yilmaz I, Yuksek G (2009) Prediction of the strength and elasticity modulus of gypsum using multiple regression, ANN, and ANFIS models. Int J Rock Mech Min Sci 46(4):803–810CrossRef
25.
Zurück zum Zitat Atici U (2011) Prediction of the strength of mineral admixture concrete using multivariable regression analysis and an artificial neural network. Exp Syst Appl 38(8):9609–9618CrossRef Atici U (2011) Prediction of the strength of mineral admixture concrete using multivariable regression analysis and an artificial neural network. Exp Syst Appl 38(8):9609–9618CrossRef
26.
Zurück zum Zitat Rezaei M, Majdi A, Monjezi M (2014) An intelligent approach to predict unconfined compressive strength of rock surrounding access tunnels in longwall coal mining. Neural Comput Appl 24(1):233–241CrossRef Rezaei M, Majdi A, Monjezi M (2014) An intelligent approach to predict unconfined compressive strength of rock surrounding access tunnels in longwall coal mining. Neural Comput Appl 24(1):233–241CrossRef
27.
Zurück zum Zitat Asadi M, Bagheripour MH, Eftekhari M (2013) Development of optimal fuzzy models for predicting the strength of intact rocks. Comput Geosci 54:107–112CrossRef Asadi M, Bagheripour MH, Eftekhari M (2013) Development of optimal fuzzy models for predicting the strength of intact rocks. Comput Geosci 54:107–112CrossRef
28.
Zurück zum Zitat Yesiloglu-Gultekin N, Gokceoglu C, Sezer E (2013) Prediction of uniaxial compressive strength of granitic rocks by various nonlinear tools and comparison of their performances. Int J Rock Mech Min Sci 62:113–122 Yesiloglu-Gultekin N, Gokceoglu C, Sezer E (2013) Prediction of uniaxial compressive strength of granitic rocks by various nonlinear tools and comparison of their performances. Int J Rock Mech Min Sci 62:113–122
29.
Zurück zum Zitat Armaghani DJ, Mohamad ET, Momeni E, Narayanasamy MS (2014) An adaptive neuro-fuzzy inference system for predicting unconfined compressive strength and Young’s modulus: a study on Main Range granite. Bull Eng Geol Envir 74:1–19 Armaghani DJ, Mohamad ET, Momeni E, Narayanasamy MS (2014) An adaptive neuro-fuzzy inference system for predicting unconfined compressive strength and Young’s modulus: a study on Main Range granite. Bull Eng Geol Envir 74:1–19
30.
Zurück zum Zitat Hong W-C (2011) Electric load forecasting by seasonal recurrent SVR (support vector regression) with chaotic artificial bee colony algorithm. Energy 36(9):5568–5578CrossRef Hong W-C (2011) Electric load forecasting by seasonal recurrent SVR (support vector regression) with chaotic artificial bee colony algorithm. Energy 36(9):5568–5578CrossRef
31.
Zurück zum Zitat Geem ZW (2009) Music-inspired harmony search algorithm: theory and applications, vol 191. Springer, Berlin, pp 113–127CrossRef Geem ZW (2009) Music-inspired harmony search algorithm: theory and applications, vol 191. Springer, Berlin, pp 113–127CrossRef
32.
Zurück zum Zitat Lee KS, Geem ZW (2005) A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice. Comput Methods Appl Mech Eng 194(36):3902–3933MATHCrossRef Lee KS, Geem ZW (2005) A new meta-heuristic algorithm for continuous engineering optimization: harmony search theory and practice. Comput Methods Appl Mech Eng 194(36):3902–3933MATHCrossRef
33.
Zurück zum Zitat Geem ZW (2009) Global optimization using harmony search: Theoretical foundations and applications. Foundations of Computational Intelligence, vol 3. Springer, Berlin, pp 57–73 Geem ZW (2009) Global optimization using harmony search: Theoretical foundations and applications. Foundations of Computational Intelligence, vol 3. Springer, Berlin, pp 57–73
34.
Zurück zum Zitat Geem ZW (2008) Novel derivative of harmony search algorithm for discrete design variables. Appl Math Comput 199(1):223–230MathSciNetMATH Geem ZW (2008) Novel derivative of harmony search algorithm for discrete design variables. Appl Math Comput 199(1):223–230MathSciNetMATH
35.
Zurück zum Zitat Moh’d Alia O, Al-Betar MA, Mandava R, Khader AT (2011) Data clustering using harmony search algorithm. Swarm, evolutionary, and memetic computing. Springer, Berlin, pp 79–88CrossRef Moh’d Alia O, Al-Betar MA, Mandava R, Khader AT (2011) Data clustering using harmony search algorithm. Swarm, evolutionary, and memetic computing. Springer, Berlin, pp 79–88CrossRef
36.
Zurück zum Zitat Geem ZW, Lee KS, Tseng C-L (2005) Harmony search for structural design. In: Proceedings of the 2005 conference on Genetic and evolutionary computation, ACM, pp 651–652 Geem ZW, Lee KS, Tseng C-L (2005) Harmony search for structural design. In: Proceedings of the 2005 conference on Genetic and evolutionary computation, ACM, pp 651–652
37.
Zurück zum Zitat Geem ZW (2007) Harmony search algorithm for solving sudoku. In: Knowledge-Based Intelligent Information and Engineering Systems, Springer, pp 371–378 Geem ZW (2007) Harmony search algorithm for solving sudoku. In: Knowledge-Based Intelligent Information and Engineering Systems, Springer, pp 371–378
38.
Zurück zum Zitat Geem ZW (2009) Harmony search for multiple dam scheduling In: Encyclopedia of artificial intelligence, pp 803–807 Geem ZW (2009) Harmony search for multiple dam scheduling In: Encyclopedia of artificial intelligence, pp 803–807
40.
Zurück zum Zitat Geem ZW, Kim JH, Loganathan G (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60–68CrossRef Geem ZW, Kim JH, Loganathan G (2001) A new heuristic optimization algorithm: harmony search. Simulation 76(2):60–68CrossRef
41.
Zurück zum Zitat Moh’d Alia O, Mandava R (2011) The variants of the harmony search algorithm: an overview. Artif Intell Rev 36(1):49–68CrossRef Moh’d Alia O, Mandava R (2011) The variants of the harmony search algorithm: an overview. Artif Intell Rev 36(1):49–68CrossRef
42.
Zurück zum Zitat Yuan X, Zhao J, Yang Y, Wang Y (2014) Hybrid parallel chaos optimization algorithm with harmony search algorithm. Appl Soft Comput 17:12–22CrossRef Yuan X, Zhao J, Yang Y, Wang Y (2014) Hybrid parallel chaos optimization algorithm with harmony search algorithm. Appl Soft Comput 17:12–22CrossRef
43.
Zurück zum Zitat Jaberipour M, Khorram E (2010) Two improved harmony search algorithms for solving engineering optimization problems. Commun Nonlinear Sci Numer Simul 15(11):3316–3331MATHCrossRef Jaberipour M, Khorram E (2010) Two improved harmony search algorithms for solving engineering optimization problems. Commun Nonlinear Sci Numer Simul 15(11):3316–3331MATHCrossRef
44.
Zurück zum Zitat Storn R, Price K (1995) Differential evolution-a simple and efficient adaptive scheme for global optimization over continuous spaces, vol 3. ICSI, BerkeleyMATH Storn R, Price K (1995) Differential evolution-a simple and efficient adaptive scheme for global optimization over continuous spaces, vol 3. ICSI, BerkeleyMATH
45.
Zurück zum Zitat Wang J, Li L, Niu D, Tan Z (2012) An annual load forecasting model based on support vector regression with differential evolution algorithm. Appl Energ 94:65–70CrossRef Wang J, Li L, Niu D, Tan Z (2012) An annual load forecasting model based on support vector regression with differential evolution algorithm. Appl Energ 94:65–70CrossRef
46.
Zurück zum Zitat Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. In: Micro Machine and Human Science, MHS’95, Proceedings of the Sixth International Symposium on, 1995. IEEE, pp 39–43 Eberhart R, Kennedy J (1995) A new optimizer using particle swarm theory. In: Micro Machine and Human Science, MHS’95, Proceedings of the Sixth International Symposium on, 1995. IEEE, pp 39–43
47.
Zurück zum Zitat Shi Y, Eberhart R (1998) A modified particle swarm optimizer. In: Evolutionary Computation Proceedings, IEEE World Congress on Computational Intelligence, 1998. IEEE, pp 69–73 Shi Y, Eberhart R (1998) A modified particle swarm optimizer. In: Evolutionary Computation Proceedings, IEEE World Congress on Computational Intelligence, 1998. IEEE, pp 69–73
48.
Zurück zum Zitat Chun B-S, Ryu WR, Sagong M, Do J-N (2009) Indirect estimation of the rock deformation modulus based on polynomial and multiple regression analyses of the RMR system. Int J Rock Mech Min Sci 46(3):649–658CrossRef Chun B-S, Ryu WR, Sagong M, Do J-N (2009) Indirect estimation of the rock deformation modulus based on polynomial and multiple regression analyses of the RMR system. Int J Rock Mech Min Sci 46(3):649–658CrossRef
49.
Zurück zum Zitat Üstün B, Melssen W, Oudenhuijzen M, Buydens L (2005) Determination of optimal support vector regression parameters by genetic algorithms and simplex optimization. Anal Chim Acta 544(1):292–305CrossRef Üstün B, Melssen W, Oudenhuijzen M, Buydens L (2005) Determination of optimal support vector regression parameters by genetic algorithms and simplex optimization. Anal Chim Acta 544(1):292–305CrossRef
Metadaten
Titel
Application of improved support vector regression model for prediction of deformation modulus of a rock mass
verfasst von
Hadi Fattahi
Publikationsdatum
01.10.2016
Verlag
Springer London
Erschienen in
Engineering with Computers / Ausgabe 4/2016
Print ISSN: 0177-0667
Elektronische ISSN: 1435-5663
DOI
https://doi.org/10.1007/s00366-016-0433-6

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