Skip to main content
Erschienen in: Geotechnical and Geological Engineering 6/2018

07.05.2018 | Original Paper

Prediction of Rock Brittleness Using Genetic Algorithm and Particle Swarm Optimization Techniques

verfasst von: Saffet Yagiz, Ebrahim Ghasemi, Amoussou Coffi Adoko

Erschienen in: Geotechnical and Geological Engineering | Ausgabe 6/2018

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

Determining the rock brittleness is often needed in a wide range of rock engineering projects; however, direct measurement of the brittleness are expensive, time consuming and also the test devices is not available in every laboratory. Due to that, assessing the brittleness of rock as a function of some rock properties such as uniaxial compressive strength, Brazilian tensile strength and density of rock is unavoidable. The aim of this paper is to develop predictive models for estimating the rock brittleness using two techniques, genetic algorithm (GA) and particle swarm optimization (PSO). For this aim, four different models including linear and non-linear were developed using GA and PSO techniques. Further, in order to validate the accuracy of proposed models, various statistical indices including the root mean square error (RMSE), the variance account for (VAF), the coefficient of determination (R2) and performance index (PI) were computed and utilized herein. The values RMSE, VAF, R2 and PI ranged between 2.64–5.25, 82.58–93.06%, 0.851–0.932 and 1.480–1.708, respectively; with the quadratic form of the GA approach indicating the best performance. It is concluded that both the GA and PSO techniques could be utilized for predicting the rock brittleness; however, GA-quadratic model is superior.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literatur
Zurück zum Zitat Akinbinu VA (2016) Class I and Class II rocks: implication of self-sustaining fracturing in brittle compression. Geotech Geol Eng 34:877–887CrossRef Akinbinu VA (2016) Class I and Class II rocks: implication of self-sustaining fracturing in brittle compression. Geotech Geol Eng 34:877–887CrossRef
Zurück zum Zitat Altindag R (2002) Correlation of specific energy with rock brittleness concepts on rock cutting. J S Afr Inst Min Metall 103(3):163–171 Altindag R (2002) Correlation of specific energy with rock brittleness concepts on rock cutting. J S Afr Inst Min Metall 103(3):163–171
Zurück zum Zitat Armaghani DJ, Hajihassani M, Mohamad ET, Marto A, Noorani SA (2014) Blasting-induced flyrock and ground vibration prediction through an expert artificial neural network based on particle swarm optimization. Arab J Geosci 7(12):5383–5396CrossRef Armaghani DJ, Hajihassani M, Mohamad ET, Marto A, Noorani SA (2014) Blasting-induced flyrock and ground vibration prediction through an expert artificial neural network based on particle swarm optimization. Arab J Geosci 7(12):5383–5396CrossRef
Zurück zum Zitat Armaghani DJ, Mohamad ET, Hajihassani M, Yagiz S, Motaghedi H (2016) Application of several non-linear prediction tools for estimating uniaxial compressive strength of granitic rocks and comparison of their performances. Eng Comput 32(2):189–206CrossRef Armaghani DJ, Mohamad ET, Hajihassani M, Yagiz S, Motaghedi H (2016) Application of several non-linear prediction tools for estimating uniaxial compressive strength of granitic rocks and comparison of their performances. Eng Comput 32(2):189–206CrossRef
Zurück zum Zitat Assareh E, Behrang MA, Assari MR, Ghanbarzadeh A (2010) Application of PSO (particle swarm optimization) and GA (genetic algorithm) techniques on demand estimation of oil in Iran. Energy 35(12):5223–5229CrossRef Assareh E, Behrang MA, Assari MR, Ghanbarzadeh A (2010) Application of PSO (particle swarm optimization) and GA (genetic algorithm) techniques on demand estimation of oil in Iran. Energy 35(12):5223–5229CrossRef
Zurück zum Zitat ASTM (1995) In annual book of American Society for testing and materials standards, volume: soil and rock (I): 04.08, D3967, D2938, D4543 ASTM (1995) In annual book of American Society for testing and materials standards, volume: soil and rock (I): 04.08, D3967, D2938, D4543
Zurück zum Zitat Copur H, Bilgin N, Tuncdemir H, Balci C (2003) A set of indices based on indentation test for assessment of rock cutting performance and rock properties. J S Afr Inst Min Metall 103(9):589–600 Copur H, Bilgin N, Tuncdemir H, Balci C (2003) A set of indices based on indentation test for assessment of rock cutting performance and rock properties. J S Afr Inst Min Metall 103(9):589–600
Zurück zum Zitat Dahl F, Bruland A, Jakobsen PD, Nilsen B, Grøv E (2012) Classifications of properties influencing the drillability of rocks, based on the NTNU/SINTEF test method. Tunn Undergr Space Technol 28:150–158CrossRef Dahl F, Bruland A, Jakobsen PD, Nilsen B, Grøv E (2012) Classifications of properties influencing the drillability of rocks, based on the NTNU/SINTEF test method. Tunn Undergr Space Technol 28:150–158CrossRef
Zurück zum Zitat Dollinger GL, Handewith HJ, Breeds CD (1999) Use of the punch test for estimating TBM performance. Tunn Undergr Space Technol 13(4):403–408CrossRef Dollinger GL, Handewith HJ, Breeds CD (1999) Use of the punch test for estimating TBM performance. Tunn Undergr Space Technol 13(4):403–408CrossRef
Zurück zum Zitat Feng X-T, Chen B-R, Yang C, Zhou H, Ding X (2006) Identification of visco-elastic models for rocks using genetic programming coupled with the modified particle swarm optimization algorithm. Int J Rock Mech Min Sci 43(5):789–801CrossRef Feng X-T, Chen B-R, Yang C, Zhou H, Ding X (2006) Identification of visco-elastic models for rocks using genetic programming coupled with the modified particle swarm optimization algorithm. Int J Rock Mech Min Sci 43(5):789–801CrossRef
Zurück zum Zitat Ghasemi E (2017) Particle swarm optimization approach for forecasting backbreak induced by bench blasting. Neural Comput Appl 28(7):1855–1862CrossRef Ghasemi E (2017) Particle swarm optimization approach for forecasting backbreak induced by bench blasting. Neural Comput Appl 28(7):1855–1862CrossRef
Zurück zum Zitat Ghasemi E, Yagiz S, Ataei M (2014) Predicting penetration rate of hard rock tunnel boring machine using fuzzy logic. Bull Eng Geol Env 73(1):23–35CrossRef Ghasemi E, Yagiz S, Ataei M (2014) Predicting penetration rate of hard rock tunnel boring machine using fuzzy logic. Bull Eng Geol Env 73(1):23–35CrossRef
Zurück zum Zitat Gong QM, Zhao J (2007) Influence of rock brittleness on TBM penetration rate in Singapore granite. Tunn Undergr Space Technol 22(3):317–324CrossRef Gong QM, Zhao J (2007) Influence of rock brittleness on TBM penetration rate in Singapore granite. Tunn Undergr Space Technol 22(3):317–324CrossRef
Zurück zum Zitat Handewith HJ (1970) Predicting the economic success of continuous tunneling in hard rock. CIM Bull 63:595–599 Handewith HJ (1970) Predicting the economic success of continuous tunneling in hard rock. CIM Bull 63:595–599
Zurück zum Zitat Hasanipanah M, Armaghani DJ, Amnieh HB, Majid MZA, Tahir MM (2017) Application of PSO to develop a powerful equation for prediction of flyrock due to blasting. Neural Comput Appl 28(1):1043–1050CrossRef Hasanipanah M, Armaghani DJ, Amnieh HB, Majid MZA, Tahir MM (2017) Application of PSO to develop a powerful equation for prediction of flyrock due to blasting. Neural Comput Appl 28(1):1043–1050CrossRef
Zurück zum Zitat Hucka V, Das B (1974) Brittleness determination of rocks by different methods. Int J Rock Mech Min Sci Geo Abstr 11(10):389–392CrossRef Hucka V, Das B (1974) Brittleness determination of rocks by different methods. Int J Rock Mech Min Sci Geo Abstr 11(10):389–392CrossRef
Zurück zum Zitat Javadi AA, Farmani R, Toropov VV, Snee CPM (1999) Identification of parameters for air permeability of shotcrete tunnel lining using a genetic algorithm. Comput Geotech 25(1):1–24CrossRef Javadi AA, Farmani R, Toropov VV, Snee CPM (1999) Identification of parameters for air permeability of shotcrete tunnel lining using a genetic algorithm. Comput Geotech 25(1):1–24CrossRef
Zurück zum Zitat Kahraman S, Altindag R (2004) A brittleness index to estimate fracture toughness. Int J Rock Mech Min Sci 41(2):343–348CrossRef Kahraman S, Altindag R (2004) A brittleness index to estimate fracture toughness. Int J Rock Mech Min Sci 41(2):343–348CrossRef
Zurück zum Zitat Kaunda RB, Asbury B (2016) Prediction of rock brittleness using nondestructive methods for hard rock tunneling. J Rock Mech Geotech Eng 8(4):533–540CrossRef Kaunda RB, Asbury B (2016) Prediction of rock brittleness using nondestructive methods for hard rock tunneling. J Rock Mech Geotech Eng 8(4):533–540CrossRef
Zurück zum Zitat Kennedy J, Eberhart RC (1995) Particle swarm optimization. Proc IEEE Int Conf Neural Netw 1995:1942–1948CrossRef Kennedy J, Eberhart RC (1995) Particle swarm optimization. Proc IEEE Int Conf Neural Netw 1995:1942–1948CrossRef
Zurück zum Zitat Khandelwal M, Armaghani DJ (2016) Prediction of drillability of rocks with strength using a hybrid GA-ANN technique. Geotech Geol Eng 34(2):605–620CrossRef Khandelwal M, Armaghani DJ (2016) Prediction of drillability of rocks with strength using a hybrid GA-ANN technique. Geotech Geol Eng 34(2):605–620CrossRef
Zurück zum Zitat Khandelwal M, Faradonbeh RS, Monjezi M, Armaghani DJ, Majid MZBA, Yagiz S (2016) Function development for appraising brittleness of intact rocks using genetic programming and non-linear multiple regression models. Eng Comput 33(1):13–21CrossRef Khandelwal M, Faradonbeh RS, Monjezi M, Armaghani DJ, Majid MZBA, Yagiz S (2016) Function development for appraising brittleness of intact rocks using genetic programming and non-linear multiple regression models. Eng Comput 33(1):13–21CrossRef
Zurück zum Zitat Macias JM, Dahl F, Bruland A, Kasling H, Thuro K (2017) Drillability assessment in hard rock. In: 3rd Nordic rock mechanics symposium, 11–12 October 2017, Helsinki, Finland, pp 105–115 Macias JM, Dahl F, Bruland A, Kasling H, Thuro K (2017) Drillability assessment in hard rock. In: 3rd Nordic rock mechanics symposium, 11–12 October 2017, Helsinki, Finland, pp 105–115
Zurück zum Zitat Mahdevari S, Shahriar K, Yagiz S, Shirazi MA (2014) A support vector regression model for predicting tunnel boring machine penetration rates. Int J Rock Mech Min Sci 72:214–229CrossRef Mahdevari S, Shahriar K, Yagiz S, Shirazi MA (2014) A support vector regression model for predicting tunnel boring machine penetration rates. Int J Rock Mech Min Sci 72:214–229CrossRef
Zurück zum Zitat Manouchehrian A, Gholamnejad J, Sharifzadeh M (2014) Development of a model for analysis of slope stability for circular mode of failure using genetic algorithm. Environ Earth Sci 71(3):1267–1277CrossRef Manouchehrian A, Gholamnejad J, Sharifzadeh M (2014) Development of a model for analysis of slope stability for circular mode of failure using genetic algorithm. Environ Earth Sci 71(3):1267–1277CrossRef
Zurück zum Zitat Matern N, von Hjelmer A (1943) Försök med pågrus (Tests with Chippings), Medelande nr. 65: 56–60 (English summary), Statens väginstitut, Stockholm, Sweden Matern N, von Hjelmer A (1943) Försök med pågrus (Tests with Chippings), Medelande nr. 65: 56–60 (English summary), Statens väginstitut, Stockholm, Sweden
Zurück zum Zitat McCombie P, Wilkinson P (2002) The use of the simple genetic algorithm in finding the critical factor of safety in slope stability analysis. Comput Geotech 29(8):699–714CrossRef McCombie P, Wilkinson P (2002) The use of the simple genetic algorithm in finding the critical factor of safety in slope stability analysis. Comput Geotech 29(8):699–714CrossRef
Zurück zum Zitat Meng F, Zhou H, Zhang C, Xu R, Lu J (2015) Evaluation methodology of brittleness of rock based on post-peak stress-strain curves. Rock Mech Rock Eng 48(5):1787–1805CrossRef Meng F, Zhou H, Zhang C, Xu R, Lu J (2015) Evaluation methodology of brittleness of rock based on post-peak stress-strain curves. Rock Mech Rock Eng 48(5):1787–1805CrossRef
Zurück zum Zitat Osman IH, Kelly JP (1996) Meta-heuristics: theory and applications. Kluwer Academic Publishers, NorwellCrossRef Osman IH, Kelly JP (1996) Meta-heuristics: theory and applications. Kluwer Academic Publishers, NorwellCrossRef
Zurück zum Zitat Rokonuzzaman M, Sakai T (2010) Calibration of the parameters for a hardening—softening constitutive model using genetic algorithms. Comput Geotech 37(4):573–579CrossRef Rokonuzzaman M, Sakai T (2010) Calibration of the parameters for a hardening—softening constitutive model using genetic algorithms. Comput Geotech 37(4):573–579CrossRef
Zurück zum Zitat Sadoghi Yazdi J, Kalantary F, Sadoghi Yazdi H (2012) Calibration of soil parameters using particle swarm optimization. Int J Geomech 12(3):229–238CrossRef Sadoghi Yazdi J, Kalantary F, Sadoghi Yazdi H (2012) Calibration of soil parameters using particle swarm optimization. Int J Geomech 12(3):229–238CrossRef
Zurück zum Zitat Saeidi O, Torabi SR, Ataei M (2013) Development of a new index to assess the rock mass drillability. Geotech Geol Eng 31:1477–1495CrossRef Saeidi O, Torabi SR, Ataei M (2013) Development of a new index to assess the rock mass drillability. Geotech Geol Eng 31:1477–1495CrossRef
Zurück zum Zitat Singh SP (1986) Brittleness and the mechanical winning of coal. Min Sci Technol 3(3):173–180CrossRef Singh SP (1986) Brittleness and the mechanical winning of coal. Min Sci Technol 3(3):173–180CrossRef
Zurück zum Zitat Singh TN, Verma AK, Sharma PK (2007) A neuro-genetic approach for prediction of time dependet deformational characteristic of rock and its sensitivity analysis. Geotech Geol Eng 25(4):395–407CrossRef Singh TN, Verma AK, Sharma PK (2007) A neuro-genetic approach for prediction of time dependet deformational characteristic of rock and its sensitivity analysis. Geotech Geol Eng 25(4):395–407CrossRef
Zurück zum Zitat Sumathi S, Paneerselvam S (2010) Computational intelligence paradigms: theory and applications using MATLAB; 2010. CRC Press, New York Sumathi S, Paneerselvam S (2010) Computational intelligence paradigms: theory and applications using MATLAB; 2010. CRC Press, New York
Zurück zum Zitat Szwedzicki T (1998) Draft ISRM suggested method for determining the indentation hardness index of rock materials. Int J Rock Mech Min Sci Geomech Abstr 35(6):831–835CrossRef Szwedzicki T (1998) Draft ISRM suggested method for determining the indentation hardness index of rock materials. Int J Rock Mech Min Sci Geomech Abstr 35(6):831–835CrossRef
Zurück zum Zitat Yagiz S (2002) Development of rock fracture and brittleness indices to quantify the effects of rock mass features and toughness in the CSM Model basic penetration for hard rock tunneling machines. Ph.D. thesis. Colorado School of Mines, 289p Yagiz S (2002) Development of rock fracture and brittleness indices to quantify the effects of rock mass features and toughness in the CSM Model basic penetration for hard rock tunneling machines. Ph.D. thesis. Colorado School of Mines, 289p
Zurück zum Zitat Yagiz S (2008) Utilizing rock mass properties for predicting TBM performance in hard rock condition. Tunn Undergr Space Technol 23(3):326–339CrossRef Yagiz S (2008) Utilizing rock mass properties for predicting TBM performance in hard rock condition. Tunn Undergr Space Technol 23(3):326–339CrossRef
Zurück zum Zitat Yagiz S (2009) Assessment of brittleness using rock strength and density with punch penetration test. Tunn Undergr Space Technol 24(1):66–74CrossRef Yagiz S (2009) Assessment of brittleness using rock strength and density with punch penetration test. Tunn Undergr Space Technol 24(1):66–74CrossRef
Zurück zum Zitat Yagiz S (2017) New equations for predicting the field penetration index of tunnel boring machines in fractured rock mass. Arab J Geosci 10:33CrossRef Yagiz S (2017) New equations for predicting the field penetration index of tunnel boring machines in fractured rock mass. Arab J Geosci 10:33CrossRef
Zurück zum Zitat Yagiz S, Gokceoglu C (2010) Application of fuzzy inference system and nonlinear regression models for predicting rock brittleness. Expert Syst Appl 37(3):2265–2272CrossRef Yagiz S, Gokceoglu C (2010) Application of fuzzy inference system and nonlinear regression models for predicting rock brittleness. Expert Syst Appl 37(3):2265–2272CrossRef
Zurück zum Zitat Yagiz S, Karahan H (2011) Prediction of hard rock TBM penetration rate using particle swarm optimization. Int J Rock Mech Min Sci 48(3):427–433CrossRef Yagiz S, Karahan H (2011) Prediction of hard rock TBM penetration rate using particle swarm optimization. Int J Rock Mech Min Sci 48(3):427–433CrossRef
Zurück zum Zitat Yagiz S, Karahan H (2015) Application of various optimization techniques and comparison of their performances for predicting TBM penetration rate in rock mass. Int J Rock Mech Min Sci 80:308–315CrossRef Yagiz S, Karahan H (2015) Application of various optimization techniques and comparison of their performances for predicting TBM penetration rate in rock mass. Int J Rock Mech Min Sci 80:308–315CrossRef
Zurück zum Zitat Yagiz S, Rostami J (2012) Indentation test for the measurement of rock brittleness. In: Proceeding of 46th US rock mechanics/geomechanics symposium, Chicago, USA, pp 511–515 Yagiz S, Rostami J (2012) Indentation test for the measurement of rock brittleness. In: Proceeding of 46th US rock mechanics/geomechanics symposium, Chicago, USA, pp 511–515
Zurück zum Zitat Yagiz S, Gokceoglu C, Sezer E, Iplikci S (2009) Application of two non-linear prediction tools to the estimation of tunnel boring machine performance. Int J Eng Appl Artif Intell 22:818–824 Yagiz S, Gokceoglu C, Sezer E, Iplikci S (2009) Application of two non-linear prediction tools to the estimation of tunnel boring machine performance. Int J Eng Appl Artif Intell 22:818–824
Zurück zum Zitat Yagiz S, Sezer EA, Gokceoglu C (2012) Artificial neural networks and nonlinear regression techniques to assess the influence of slake durability cycles on the prediction of uniaxial compressive strength and modulus of elasticity for carbonate rocks. Int J Numer Anal Methods Geomech 36:1636–1650CrossRef Yagiz S, Sezer EA, Gokceoglu C (2012) Artificial neural networks and nonlinear regression techniques to assess the influence of slake durability cycles on the prediction of uniaxial compressive strength and modulus of elasticity for carbonate rocks. Int J Numer Anal Methods Geomech 36:1636–1650CrossRef
Metadaten
Titel
Prediction of Rock Brittleness Using Genetic Algorithm and Particle Swarm Optimization Techniques
verfasst von
Saffet Yagiz
Ebrahim Ghasemi
Amoussou Coffi Adoko
Publikationsdatum
07.05.2018
Verlag
Springer International Publishing
Erschienen in
Geotechnical and Geological Engineering / Ausgabe 6/2018
Print ISSN: 0960-3182
Elektronische ISSN: 1573-1529
DOI
https://doi.org/10.1007/s10706-018-0570-3

Weitere Artikel der Ausgabe 6/2018

Geotechnical and Geological Engineering 6/2018 Zur Ausgabe