Skip to main content
Erschienen in: Neural Computing and Applications 5/2013

01.10.2013 | Original Article

An expert system for predicting Manning’s roughness coefficient in open channels by using gene expression programming

verfasst von: H. Md. Azamathulla, Z. Ahmad, Aminuddin Ab. Ghani

Erschienen in: Neural Computing and Applications | Ausgabe 5/2013

Einloggen

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

search-config
loading …

Abstract

Manning’s roughness coefficient (n) has been widely used in the estimation of flood discharges or depths of flow in natural channels. Accurate estimation of Manning’s roughness coefficient is essential for the computation of flow rate, velocity. Conventional formulae that are greatly based on empirical methods lack in providing high accuracy for the prediction of Manning’s roughness coefficient. Consequently, new and accurate techniques are still highly demanded. In this study, gene expression programming (GEP) is used to estimate the Manning’s roughness coefficient. The estimated value of the roughness coefficient is used in Manning’s equation to compute the flow parameters in open-channel flows in order to carry out a comparison between the proposed GEP-based approach and the conventional ones. Results show that computed discharge using estimated value of roughness coefficient by GEP is in good agreement (±10%) with the experimental results compared to the conventional formulae (R 2 = 0.97 and RMSE = 0.0034 for the training data and R 2 = 0.94 and RMSE = 0.086 for the testing data).

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

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!

Literatur
1.
Zurück zum Zitat Ab. Ghani A, Zakaria NA, Chang CK, Ariffin J, Abu Hasan Z, Abdul Ghaffar AB (2007) Revised equations for Manning’s coefficient for sand-bed rivers. Int J River Basin Manag 5(4):329–346 Ab. Ghani A, Zakaria NA, Chang CK, Ariffin J, Abu Hasan Z, Abdul Ghaffar AB (2007) Revised equations for Manning’s coefficient for sand-bed rivers. Int J River Basin Manag 5(4):329–346
2.
Zurück zum Zitat Alavi AH, Ameri M, Gandomi AH, Mirzahosseini MR (2011) Formulation of flow number of asphalt mixes using a hybrid computational method. Constr Build Mater 25(3):1338–1355CrossRef Alavi AH, Ameri M, Gandomi AH, Mirzahosseini MR (2011) Formulation of flow number of asphalt mixes using a hybrid computational method. Constr Build Mater 25(3):1338–1355CrossRef
3.
Zurück zum Zitat Altun H, Bilgil A, Fidan CF (2006) Treatment of multi-dimensional data to enhance neural network estimators in regression problems. Expert Syst Appl 32(2):599–605CrossRef Altun H, Bilgil A, Fidan CF (2006) Treatment of multi-dimensional data to enhance neural network estimators in regression problems. Expert Syst Appl 32(2):599–605CrossRef
4.
Zurück zum Zitat Azamathulla HMd, Ahmad Z (2012) Gene-expression programming for transverse mixing coefficient. J Hydrol 434–435:142–148CrossRef Azamathulla HMd, Ahmad Z (2012) Gene-expression programming for transverse mixing coefficient. J Hydrol 434–435:142–148CrossRef
5.
Zurück zum Zitat Azamathulla HMd, Deo MC, Deolalikar PB (2008) Alternative neural networks to estimate the scour below spillways. Adv Eng Softw 39(8):689–698CrossRef Azamathulla HMd, Deo MC, Deolalikar PB (2008) Alternative neural networks to estimate the scour below spillways. Adv Eng Softw 39(8):689–698CrossRef
6.
Zurück zum Zitat Barnes HH Jr (1967) Roughness characteristics of natural channels. US Geological Survey Water-Supply Paper 1949 Barnes HH Jr (1967) Roughness characteristics of natural channels. US Geological Survey Water-Supply Paper 1949
7.
Zurück zum Zitat Bilgil A (1998) The effect of wall shear stress on friction factor in smooth open channel flows. Ph.D. Thesis. Karadeniz Technical University, Trabzon (Turkey) (in Turkish) Bilgil A (1998) The effect of wall shear stress on friction factor in smooth open channel flows. Ph.D. Thesis. Karadeniz Technical University, Trabzon (Turkey) (in Turkish)
8.
Zurück zum Zitat Bilgil A, Altun H (2008) Investigation of flow resistance in smooth open channels using artificial neural networks. Flow Meas Instrum 19:404–408CrossRef Bilgil A, Altun H (2008) Investigation of flow resistance in smooth open channels using artificial neural networks. Flow Meas Instrum 19:404–408CrossRef
9.
Zurück zum Zitat Çiray, C. (1999) On some special corner flows (with emphasis on uniform flows in rectangular channels), Memorial Volume of L. Prof. Dr. K. Çeçen, Faculty of Civil Engineering, ÏTÜ Çiray, C. (1999) On some special corner flows (with emphasis on uniform flows in rectangular channels), Memorial Volume of L. Prof. Dr. K. Çeçen, Faculty of Civil Engineering, ÏTÜ
10.
Zurück zum Zitat Chow VT (1959) Open channel hydraulics. McGraw-Hill Book Co, New York Chow VT (1959) Open channel hydraulics. McGraw-Hill Book Co, New York
11.
Zurück zum Zitat Dingman SL, Sharma KP (1997) Statistical development and validation of discharge equations for natural channels. J Hydrol 199:13–35CrossRef Dingman SL, Sharma KP (1997) Statistical development and validation of discharge equations for natural channels. J Hydrol 199:13–35CrossRef
12.
Zurück zum Zitat Dooge JCI (1991) The Manning formula in context channel flow resistance; centennial of Manning’s formula. Water Resources Publications, Littleton (Colo), pp 136–185 Dooge JCI (1991) The Manning formula in context channel flow resistance; centennial of Manning’s formula. Water Resources Publications, Littleton (Colo), pp 136–185
13.
Zurück zum Zitat Ferreira C (2001) Gene expression programming in problem solving. In: 6th online world conference on soft computing in industrial applications (invited tutorial) Ferreira C (2001) Gene expression programming in problem solving. In: 6th online world conference on soft computing in industrial applications (invited tutorial)
14.
Zurück zum Zitat Ferreira C (2001) Gene expression programming: a new adaptive algorithm for solving problems. Complex Syst 13(2):87–129MATH Ferreira C (2001) Gene expression programming: a new adaptive algorithm for solving problems. Complex Syst 13(2):87–129MATH
15.
Zurück zum Zitat French RH (1985) Open channel hydraulics. McGraw-Hill, New York French RH (1985) Open channel hydraulics. McGraw-Hill, New York
16.
Zurück zum Zitat Gandomi AH, Alavi AH, Mirzahosseini MR, Moqhadas Nejad F (2011) Nonlinear genetic-based models for prediction of flow number of asphalt mixtures. J Mater Civ Eng 23(3):248–263CrossRef Gandomi AH, Alavi AH, Mirzahosseini MR, Moqhadas Nejad F (2011) Nonlinear genetic-based models for prediction of flow number of asphalt mixtures. J Mater Civ Eng 23(3):248–263CrossRef
18.
Zurück zum Zitat Gandomi AH, Tabatabaie SM, Moradian MH, Radfar A, Alavi AH (2011) A new prediction model for load capacity of castellated steel beams. J Constr Steel Res 67(7):1096–1105CrossRef Gandomi AH, Tabatabaie SM, Moradian MH, Radfar A, Alavi AH (2011) A new prediction model for load capacity of castellated steel beams. J Constr Steel Res 67(7):1096–1105CrossRef
19.
Zurück zum Zitat Gandomi AH, Alavi AH (2011) Multi-stage genetic programming: a new strategy to nonlinear system modeling. Inf Sci 181(23):5227–5239CrossRef Gandomi AH, Alavi AH (2011) Multi-stage genetic programming: a new strategy to nonlinear system modeling. Inf Sci 181(23):5227–5239CrossRef
21.
Zurück zum Zitat Giustolisi O (2004) Using genetic programming to determine Chèzy resistance coefficient in corrugated channels. J Hydroinform 6(3):157–173 Giustolisi O (2004) Using genetic programming to determine Chèzy resistance coefficient in corrugated channels. J Hydroinform 6(3):157–173
22.
Zurück zum Zitat Green JC (2006) Effect of macrophyte spatial variability on channel resistance. Adv Water Resour 29:426–438CrossRef Green JC (2006) Effect of macrophyte spatial variability on channel resistance. Adv Water Resour 29:426–438CrossRef
23.
Zurück zum Zitat Guven A, Aytek A (2009) A new approach for stage-discharge relationship: gene-expression programming. J. Hydrologic Eng 14(8):812–820CrossRef Guven A, Aytek A (2009) A new approach for stage-discharge relationship: gene-expression programming. J. Hydrologic Eng 14(8):812–820CrossRef
24.
Zurück zum Zitat Guven A, Gunal M (2008a) Genetic programming approach for prediction of local scour downstream of hydraulic structures. J Irrig Drain Eng 134(2):241–249 Guven A, Gunal M (2008a) Genetic programming approach for prediction of local scour downstream of hydraulic structures. J Irrig Drain Eng 134(2):241–249
25.
Zurück zum Zitat Guven A, Gunal M (2008b) Prediction of scour downstream of grade-control structures using neural networks. J Hydraul Eng 134(11):1656–1660 Guven A, Gunal M (2008b) Prediction of scour downstream of grade-control structures using neural networks. J Hydraul Eng 134(11):1656–1660
26.
Zurück zum Zitat Henderson FM (1966) Open channel flow. MacMillan Co, New York Henderson FM (1966) Open channel flow. MacMillan Co, New York
27.
Zurück zum Zitat Hicks DM, Mason PD (1991) Roughness characteristics of New Zealand rivers. Water Resources Survey, Wellington Hicks DM, Mason PD (1991) Roughness characteristics of New Zealand rivers. Water Resources Survey, Wellington
28.
Zurück zum Zitat Jarrett RD (1984) Hydraulics of high gradient streams. ASCE J Hydraul Eng 110:1519–1539CrossRef Jarrett RD (1984) Hydraulics of high gradient streams. ASCE J Hydraul Eng 110:1519–1539CrossRef
29.
Zurück zum Zitat Jiang M, Li L-X (2010) An improved two-point velocity method for estimating the roughness coefficient of natural channels. Phys Chem Earth Parts A/B/C 35(3–5):182–186CrossRef Jiang M, Li L-X (2010) An improved two-point velocity method for estimating the roughness coefficient of natural channels. Phys Chem Earth Parts A/B/C 35(3–5):182–186CrossRef
30.
Zurück zum Zitat Kazemipour AK, Apelt CJ (1982) Shape effects on resistance to uniform flow in open channels. J Hydraul Res 17:129–147CrossRef Kazemipour AK, Apelt CJ (1982) Shape effects on resistance to uniform flow in open channels. J Hydraul Res 17:129–147CrossRef
31.
Zurück zum Zitat Keulegan GH (1938) Laws of turbulent flow in open channels. J Natl Bureau Stand 1151(21):707–741CrossRef Keulegan GH (1938) Laws of turbulent flow in open channels. J Natl Bureau Stand 1151(21):707–741CrossRef
32.
Zurück zum Zitat Koza JR (1999) Genetic programming: on the programming of computers by means of natural selection. The MIT Press, Cambridge, MA Koza JR (1999) Genetic programming: on the programming of computers by means of natural selection. The MIT Press, Cambridge, MA
33.
Zurück zum Zitat Riggs HC (1976) A simplified slope area method for estimating flood discharges in natural channels. J Res US Geol Survey 4:285–291 Riggs HC (1976) A simplified slope area method for estimating flood discharges in natural channels. J Res US Geol Survey 4:285–291
34.
Zurück zum Zitat Solomatine DP, Otsfeld A (2008) Data-driven modelling: some past experiences and new approaches. J Hydroinform 10(1):3–22 Solomatine DP, Otsfeld A (2008) Data-driven modelling: some past experiences and new approaches. J Hydroinform 10(1):3–22
35.
Zurück zum Zitat Myers WRC (1982) Flow resistance in wide rectangular channels. J Hydraul Div ASCE 108:471–482 Myers WRC (1982) Flow resistance in wide rectangular channels. J Hydraul Div ASCE 108:471–482
36.
Zurück zum Zitat Powell RW (1970) Resistance studies on smooth open channels. J Hydraul Div ASCE 364–367 Powell RW (1970) Resistance studies on smooth open channels. J Hydraul Div ASCE 364–367
37.
Zurück zum Zitat Pillia NN (1970) On uniform flow through smooth rectangular open channels. J Hydraul Res 8:403–417CrossRef Pillia NN (1970) On uniform flow through smooth rectangular open channels. J Hydraul Res 8:403–417CrossRef
38.
Zurück zum Zitat Pillia NN (1997) Effect of shape on uniform flow through smooth rectangular open channels. Journal of Hydraulics Research 8:655–658 Pillia NN (1997) Effect of shape on uniform flow through smooth rectangular open channels. Journal of Hydraulics Research 8:655–658
39.
Zurück zum Zitat Rahman HK, Williams JR, Wormleaton PR (1997) Identification problem of open channel friction parameters. J Hydraul Res 8:1078–1088 Rahman HK, Williams JR, Wormleaton PR (1997) Identification problem of open channel friction parameters. J Hydraul Res 8:1078–1088
40.
Zurück zum Zitat Rao KK (1969) Effect of shape on the mean-flow characteristics of turbulent flow through smooth rectangular open channel. PhD Thesis presented to the University of Iowa at Iowa City, Iowa Rao KK (1969) Effect of shape on the mean-flow characteristics of turbulent flow through smooth rectangular open channel. PhD Thesis presented to the University of Iowa at Iowa City, Iowa
41.
Zurück zum Zitat Reinus E (1961) Steady uniform flow in open channels transactions. Royal Institute Technology, Stockholm, p 179 Reinus E (1961) Steady uniform flow in open channels transactions. Royal Institute Technology, Stockholm, p 179
42.
Zurück zum Zitat Syamala P (1998) Velocity shear and friction studies in smooth rectangular channels of small aspect ratio for supercritical flows, PhD Thesis presented to the Indian Institute of Science at Bangalore, India Syamala P (1998) Velocity shear and friction studies in smooth rectangular channels of small aspect ratio for supercritical flows, PhD Thesis presented to the Indian Institute of Science at Bangalore, India
43.
Zurück zum Zitat Tinkler KJ (1997) Critical flow in rockbed streams with estimated values for Manning’s n. Geomorphology 20:147–164CrossRef Tinkler KJ (1997) Critical flow in rockbed streams with estimated values for Manning’s n. Geomorphology 20:147–164CrossRef
44.
Zurück zum Zitat Tracy HJ, Lester CM (1961) Resistance coefficients and velocity distribution-smooth rectangular channel. US Geol Surv Water Supply Paper 1592-A, pp 1–18 Tracy HJ, Lester CM (1961) Resistance coefficients and velocity distribution-smooth rectangular channel. US Geol Surv Water Supply Paper 1592-A, pp 1–18
45.
Zurück zum Zitat Wilson C (2007) Flow resistance models for flexible submerged vegetation. J Hydrol 342(3–4):1213–1222 Wilson C (2007) Flow resistance models for flexible submerged vegetation. J Hydrol 342(3–4):1213–1222
46.
Zurück zum Zitat Yen BC (2002) Open channel flow resistance. J Hydraul Eng 128:20–39CrossRef Yen BC (2002) Open channel flow resistance. J Hydraul Eng 128:20–39CrossRef
Metadaten
Titel
An expert system for predicting Manning’s roughness coefficient in open channels by using gene expression programming
verfasst von
H. Md. Azamathulla
Z. Ahmad
Aminuddin Ab. Ghani
Publikationsdatum
01.10.2013
Verlag
Springer London
Erschienen in
Neural Computing and Applications / Ausgabe 5/2013
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-012-1078-z

Weitere Artikel der Ausgabe 5/2013

Neural Computing and Applications 5/2013 Zur Ausgabe