Skip to main content
Top
Published in: Neural Computing and Applications 6/2012

01-09-2012 | Original Article

Artificial neural network for prediction of air flow in a single rock joint

Authors: P. G. Ranjith, Manoj Khandelwal

Published in: Neural Computing and Applications | Issue 6/2012

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In this paper, an attempt has been made to evaluate and predict the air flow rate in triaxial conditions at various confining pressures incorporating cell pressure, air inlet pressure, and air outlet pressure using artificial neural network (ANN) technique. A three-layer feed forward back propagation neural network having 3-7-1 architecture network was trained using 37 data sets measured from laboratory investigation. Ten new data sets were used for the, validation and comparison of the air flow rate by ANN and multi-variate regression analysis (MVRA) to develop more confidence on the proposed method. Results were compared based on coefficient of determination (CoD) and mean absolute error (MAE) between measured and predicted values of air flow rate. It was found that CoD between measured and predicted air flow rate was 0.995 and 0.758 by ANN and MVRA, respectively, whereas MAE was 0.0413 and 0.1876.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • 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!

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!

Literature
1.
go back to reference Darcy H (1856) Les Fontaines Publiques de la Ville de Dijon. Victor Dalmond, Paris Darcy H (1856) Les Fontaines Publiques de la Ville de Dijon. Victor Dalmond, Paris
2.
go back to reference Forchheimer P (1901) Wasserbewegung durch Boden. Z Ver Deutsch Ing 45:1782–1788 Forchheimer P (1901) Wasserbewegung durch Boden. Z Ver Deutsch Ing 45:1782–1788
3.
go back to reference Bear J (1972) Dynamics of fluids in porous media. Elsevier, New YorkMATH Bear J (1972) Dynamics of fluids in porous media. Elsevier, New YorkMATH
4.
go back to reference Hannoura A, Barends FBJ (1981) Non-Darcy flow: a state of art. In: Verruijt A, Barends FBJ (eds) Proceedings of the euromech 143. Balkema PC, Rotterdam, pp 37–51 Hannoura A, Barends FBJ (1981) Non-Darcy flow: a state of art. In: Verruijt A, Barends FBJ (eds) Proceedings of the euromech 143. Balkema PC, Rotterdam, pp 37–51
5.
go back to reference Scheidegger AE (1974) The physics of flow through porous media, 3rd edn. University of Toronto Press, Toronto Scheidegger AE (1974) The physics of flow through porous media, 3rd edn. University of Toronto Press, Toronto
6.
go back to reference Pyrak-Nolte LJ, Myer LR, Cook NGW, Witherspoon PA (1987) Hydraulic and mechanical properties of natural fractures in low permeability rock. In: 6th International congress rock mechanics, ISRM, Montreal, Canada, pp 225–231 Pyrak-Nolte LJ, Myer LR, Cook NGW, Witherspoon PA (1987) Hydraulic and mechanical properties of natural fractures in low permeability rock. In: 6th International congress rock mechanics, ISRM, Montreal, Canada, pp 225–231
7.
go back to reference Raven KG, Gale JE (1985) Water flow in a natural rock fracture as a function of stress and sample size. Int J Rock Mech Min Sci Geomech Abstr 16:225–234 Raven KG, Gale JE (1985) Water flow in a natural rock fracture as a function of stress and sample size. Int J Rock Mech Min Sci Geomech Abstr 16:225–234
8.
go back to reference Durham WB, Bonner BP (1994) Self-propping and fluid flow in slightly offset joints at high effective pressures. J Geophys Res 99:9391–9399CrossRef Durham WB, Bonner BP (1994) Self-propping and fluid flow in slightly offset joints at high effective pressures. J Geophys Res 99:9391–9399CrossRef
9.
go back to reference Jaeger JC, Cook NGW (1976) Fundamentals of rock mechanics. Chapman and Hall, London, pp 169–171 Jaeger JC, Cook NGW (1976) Fundamentals of rock mechanics. Chapman and Hall, London, pp 169–171
10.
go back to reference Brown SR (1987) Fluid flow through rock joints: the effect of surface roughness. J Geophys Res 92:1337–1347CrossRef Brown SR (1987) Fluid flow through rock joints: the effect of surface roughness. J Geophys Res 92:1337–1347CrossRef
11.
go back to reference Pratt HR, Swolfs HS, Brace WF, Black AD, Handin JW (1977) Elastic and transport properties of an in situ jointed granite. Int J Rock Mech Min Sci Geomech Abstr 14:34–45 Pratt HR, Swolfs HS, Brace WF, Black AD, Handin JW (1977) Elastic and transport properties of an in situ jointed granite. Int J Rock Mech Min Sci Geomech Abstr 14:34–45
12.
go back to reference Tsang YW (1984) The effect of tortuosity on fluid flow through a single fracture. Water Resour Res 20:1205–1215CrossRef Tsang YW (1984) The effect of tortuosity on fluid flow through a single fracture. Water Resour Res 20:1205–1215CrossRef
13.
go back to reference Zimmerman RW, Chen DW, Cook NGW (1992) The effect of contact area on the permeability of fractures. J Hydrol 139:79–96CrossRef Zimmerman RW, Chen DW, Cook NGW (1992) The effect of contact area on the permeability of fractures. J Hydrol 139:79–96CrossRef
14.
go back to reference Durham WB (1997) Laboratory observations of the hydraulic behavior of a permeable fracture from 3800 m depth in the KTB pilot hole. J Geophys Res 102:18405–18416CrossRef Durham WB (1997) Laboratory observations of the hydraulic behavior of a permeable fracture from 3800 m depth in the KTB pilot hole. J Geophys Res 102:18405–18416CrossRef
15.
go back to reference Oron AP, Berkowitz B (1998) Flow in rock fractures: the local cubic law assumption reexamined. Water Resour Res 34:2811–2825CrossRef Oron AP, Berkowitz B (1998) Flow in rock fractures: the local cubic law assumption reexamined. Water Resour Res 34:2811–2825CrossRef
16.
go back to reference Skjetne E, Hansen A, Gudmundsson JS (1999) High-velocity flow in a rough fracture. J Fluid Mech 383:1–28MATHCrossRef Skjetne E, Hansen A, Gudmundsson JS (1999) High-velocity flow in a rough fracture. J Fluid Mech 383:1–28MATHCrossRef
17.
go back to reference Zimmerman RW, Yeo IW (2000) Fluid flow in rock fractures: from the Navier–Stokes equations to the cubic law. In: Dynamics of fluids in fractured rock, geophysical monograph 122, American geophysical union, pp 213–224 Zimmerman RW, Yeo IW (2000) Fluid flow in rock fractures: from the Navier–Stokes equations to the cubic law. In: Dynamics of fluids in fractured rock, geophysical monograph 122, American geophysical union, pp 213–224
18.
go back to reference Iwai K (1976) Fundamental studies of fluid flow through a single fracture. PhD dissertation, University of California, Berkeley, California Iwai K (1976) Fundamental studies of fluid flow through a single fracture. PhD dissertation, University of California, Berkeley, California
19.
go back to reference Al-Yaarubi A (2003) Numerical and experimental study of fluid flow in a rough-walled rock fracture. PhD dissertation, Imperial College, London Al-Yaarubi A (2003) Numerical and experimental study of fluid flow in a rough-walled rock fracture. PhD dissertation, Imperial College, London
20.
go back to reference Zimmerman RW, Al-Yaarubi A, Pain CC, Grattoni CA (2004) Non-linear regimes of fluid flow in rock fractures. Int J Rock Mech Min Sci 41(supplement A):163–169 Zimmerman RW, Al-Yaarubi A, Pain CC, Grattoni CA (2004) Non-linear regimes of fluid flow in rock fractures. Int J Rock Mech Min Sci 41(supplement A):163–169
21.
go back to reference Wittke W (1990) Rock mechanics: theory and applications with case histories. Springer, Berlin Wittke W (1990) Rock mechanics: theory and applications with case histories. Springer, Berlin
22.
go back to reference Lee CH, Farmer I (1993) Fluid flow in discontinuous rocks. Chapman and Hall, London Lee CH, Farmer I (1993) Fluid flow in discontinuous rocks. Chapman and Hall, London
23.
go back to reference Khandelwal M, Roy MP, Singh PK (2004) Application of artificial neural network in mining industry. Ind Min Eng J 43:19–23 Khandelwal M, Roy MP, Singh PK (2004) Application of artificial neural network in mining industry. Ind Min Eng J 43:19–23
24.
go back to reference Rajasekaran S, Pai GAV (2005) Neural networks, fuzzy logic and genetic algorithms: synthesis and applications. Prentice Hall, New Delhi Rajasekaran S, Pai GAV (2005) Neural networks, fuzzy logic and genetic algorithms: synthesis and applications. Prentice Hall, New Delhi
25.
go back to reference Khandelwal M (2002) Application of neural network for the prediction of triaxial constants from uniaxial compressive strength. MTech dissertation, Department of Mining Engineering, Banaras Hindu University, Varanasi, India Khandelwal M (2002) Application of neural network for the prediction of triaxial constants from uniaxial compressive strength. MTech dissertation, Department of Mining Engineering, Banaras Hindu University, Varanasi, India
26.
go back to reference Maulenkamp F, Grima MA (1999) Application of neural networks for the prediction of the unconfined compressive strength (UCS) from Equotip hardness. Int J Rock Mech Min Sci 36:29–39CrossRef Maulenkamp F, Grima MA (1999) Application of neural networks for the prediction of the unconfined compressive strength (UCS) from Equotip hardness. Int J Rock Mech Min Sci 36:29–39CrossRef
27.
go back to reference Yang Y, Zhang Q (1997) Analysis for the results of point load testing with artificial neural network. In: Proceedings of the computer methods and advances in geomechanics, IACMAG, China, pp 607–612 Yang Y, Zhang Q (1997) Analysis for the results of point load testing with artificial neural network. In: Proceedings of the computer methods and advances in geomechanics, IACMAG, China, pp 607–612
28.
go back to reference Cai JG, Zhao J (1997) Use of neural networks in rock tunneling. Proceedings of the computer methods and advances in geomechanics, IACMAG, China, pp 613–618 Cai JG, Zhao J (1997) Use of neural networks in rock tunneling. Proceedings of the computer methods and advances in geomechanics, IACMAG, China, pp 613–618
29.
go back to reference Khandelwal M, Singh TN (2002) Prediction of waste dump stability by an intelligent approach. National symposium new equipment—new technology, management and safety, ENTMS, Bhubaneshwar, pp 38–45 Khandelwal M, Singh TN (2002) Prediction of waste dump stability by an intelligent approach. National symposium new equipment—new technology, management and safety, ENTMS, Bhubaneshwar, pp 38–45
30.
go back to reference Maity D, Saha A (2004) Damage assessment in structure from changes in static parameters using neural networks. Sadhana 29:315–327CrossRef Maity D, Saha A (2004) Damage assessment in structure from changes in static parameters using neural networks. Sadhana 29:315–327CrossRef
31.
go back to reference Khandelwal M, Singh TN (2009) Prediction of blast induced ground vibration using artificial neural network. Int J Rock Mech Min Sci 46(7):1214–1222CrossRef Khandelwal M, Singh TN (2009) Prediction of blast induced ground vibration using artificial neural network. Int J Rock Mech Min Sci 46(7):1214–1222CrossRef
32.
go back to reference Khandelwal M, Singh TN (2010) Prediction of macerals contents of Indian coals from proximate and ultimate analyses using artificial neural network. Fuel 89(5):1101–1109CrossRef Khandelwal M, Singh TN (2010) Prediction of macerals contents of Indian coals from proximate and ultimate analyses using artificial neural network. Fuel 89(5):1101–1109CrossRef
33.
go back to reference Khandelwal M, Singh TN (2010) Artificial neural network as a valuable tool for well log interpretation. Petroleum Sci Technol 28(14):1381–1393CrossRef Khandelwal M, Singh TN (2010) Artificial neural network as a valuable tool for well log interpretation. Petroleum Sci Technol 28(14):1381–1393CrossRef
35.
go back to reference Monjezi M, Bahrami A, Yazdian Varjani A (2010) Simultaneous prediction of fragmentation and flyrock in blasting operation using artificial neural networks. Int J Rock Mech Min Sci 47(3):476–480CrossRef Monjezi M, Bahrami A, Yazdian Varjani A (2010) Simultaneous prediction of fragmentation and flyrock in blasting operation using artificial neural networks. Int J Rock Mech Min Sci 47(3):476–480CrossRef
36.
go back to reference Monjezi M, Ahmadi M, Sheikhan M, Bahrami A, Salimi AR (2010) Predicting blast-induced ground vibration using various types of neural networks. Soil Dyn Earthq Eng 30(11):1233–1236CrossRef Monjezi M, Ahmadi M, Sheikhan M, Bahrami A, Salimi AR (2010) Predicting blast-induced ground vibration using various types of neural networks. Soil Dyn Earthq Eng 30(11):1233–1236CrossRef
37.
go back to reference Simpson PK (1990) Artificial neural system—foundation, paradigm, application and implementations. Pergamon Press, New York Simpson PK (1990) Artificial neural system—foundation, paradigm, application and implementations. Pergamon Press, New York
38.
go back to reference Khandelwal M, Singh TN (2006) Prediction of blast induced ground vibrations and frequency in opencast mine—a neural network approach. J Sound Vibration 289:711–725CrossRef Khandelwal M, Singh TN (2006) Prediction of blast induced ground vibrations and frequency in opencast mine—a neural network approach. J Sound Vibration 289:711–725CrossRef
39.
go back to reference Monjezi M, Dehghani H (2008) Evaluation of effect of blasting pattern parameters on back break using neural networks. Int J Rock Mech Min Sci 45(8):1446–1453CrossRef Monjezi M, Dehghani H (2008) Evaluation of effect of blasting pattern parameters on back break using neural networks. Int J Rock Mech Min Sci 45(8):1446–1453CrossRef
40.
go back to reference Lanaro F (2000) A random field model for surface roughness and aperture of rock fractures. Int J Rock Mech Min Sci 37:1195–1210CrossRef Lanaro F (2000) A random field model for surface roughness and aperture of rock fractures. Int J Rock Mech Min Sci 37:1195–1210CrossRef
41.
go back to reference Zimmerman RW, Bodvarsson GS (1996) Hydraulic conductivity of rock fractures. Transp Porous Media 23:1–30CrossRef Zimmerman RW, Bodvarsson GS (1996) Hydraulic conductivity of rock fractures. Transp Porous Media 23:1–30CrossRef
42.
go back to reference Baheer I (2000) Selection of methodology for modeling hysteresis behavior of soils using neural networks. J Comput Aided Civ Infrastruct Eng 5(6):445–463 Baheer I (2000) Selection of methodology for modeling hysteresis behavior of soils using neural networks. J Comput Aided Civ Infrastruct Eng 5(6):445–463
43.
go back to reference Hecht-Nielsen R (1987) Kolmogorov’s mapping neural network existence theorem. In: Proceedings of the first IEEE international conference on neural networks, San Diego, CA, pp 11–14 Hecht-Nielsen R (1987) Kolmogorov’s mapping neural network existence theorem. In: Proceedings of the first IEEE international conference on neural networks, San Diego, CA, pp 11–14
44.
go back to reference Masters T (1994) Practical neural network recipes in C++. Academic Press, Boston Masters T (1994) Practical neural network recipes in C++. Academic Press, Boston
45.
go back to reference Lippmann RP (1987) An introduction to computing with neural nets. IEEE ASSP Mag 4:4–22 Lippmann RP (1987) An introduction to computing with neural nets. IEEE ASSP Mag 4:4–22
46.
go back to reference Rumelhart DE, Hinton GE, Williams RJ (1986) Learning internal representation by error propogation. In: Rumelhart DE, McClelland JL (eds) Parallel distributed processing, vol 1, pp 318–362 Rumelhart DE, Hinton GE, Williams RJ (1986) Learning internal representation by error propogation. In: Rumelhart DE, McClelland JL (eds) Parallel distributed processing, vol 1, pp 318–362
47.
48.
go back to reference Hush DR (1989) Classification with neural networks: a performance analysis. Proceedings of the IEEE international conference on systems Engineering Dayton Ohia, USA, 277–80 Hush DR (1989) Classification with neural networks: a performance analysis. Proceedings of the IEEE international conference on systems Engineering Dayton Ohia, USA, 277–80
49.
go back to reference Ripley BD (1993) Statistical aspects of neural networks. In: Barndoff-Neilsen OE, Jensen JL, Kendall WS (eds) Networks and chaos-statistical and probabilistic aspects. Chapman & Hall, London, pp 40–123 Ripley BD (1993) Statistical aspects of neural networks. In: Barndoff-Neilsen OE, Jensen JL, Kendall WS (eds) Networks and chaos-statistical and probabilistic aspects. Chapman & Hall, London, pp 40–123
50.
go back to reference Wang C (1994) A theory of generalization in learning machines with neural application. PhD thesis, The University of Pennsylvania, USA Wang C (1994) A theory of generalization in learning machines with neural application. PhD thesis, The University of Pennsylvania, USA
51.
go back to reference Kanellopoulas I, Wilkinson GG (1997) Strategies and best practice for neural network image classification. Int J Remote Sensing 18:711–725CrossRef Kanellopoulas I, Wilkinson GG (1997) Strategies and best practice for neural network image classification. Int J Remote Sensing 18:711–725CrossRef
Metadata
Title
Artificial neural network for prediction of air flow in a single rock joint
Authors
P. G. Ranjith
Manoj Khandelwal
Publication date
01-09-2012
Publisher
Springer-Verlag
Published in
Neural Computing and Applications / Issue 6/2012
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-011-0595-5

Other articles of this Issue 6/2012

Neural Computing and Applications 6/2012 Go to the issue

Premium Partner