Skip to main content

2016 | OriginalPaper | Buchkapitel

Estimating Parameters of Van Genuchten Equation Based on Teaching-Learning-Based Optimization Algorithm

verfasst von : Fahui Gu, Kangshun Li, Lei Yang, Wei Li

Erschienen in: Computational Intelligence and Intelligent Systems

Verlag: Springer Singapore

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

search-config
loading …

Abstract

The Van Genuchten Equation (VGE) is used to describe the characteristic of soil water movement, but it is super-set, nonlinear and containing many unknown parameters. Using the traditional method to estimate the parameters of VGE often results in a high margin of error because of complication. The teaching-learning-based optimization (TLBO) is a new swarm intelligent optimization method for solving complex nonlinear models. In this paper, the solution program of TLBO is compiled and used to estimate parameters of the VGE. The results show that the estimate method by TLBO is more efficient and accurate. Consequently, TLBO can be used as a new method to estimate parameters of VGE.

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!

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!

Literatur
1.
Zurück zum Zitat Van Genuchten, M.T.: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44(5), 892–898 (1980)CrossRef Van Genuchten, M.T.: A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci. Soc. Am. J. 44(5), 892–898 (1980)CrossRef
2.
Zurück zum Zitat Han, X.-W., Shao, M.-A., Horton, R.: Estimating van Genuchten model parameters of undisturbed soils using an integral method. Soil Sci. Soc. China 20(1), 55–62 (2010). (in Chinese) Han, X.-W., Shao, M.-A., Horton, R.: Estimating van Genuchten model parameters of undisturbed soils using an integral method. Soil Sci. Soc. China 20(1), 55–62 (2010). (in Chinese)
3.
Zurück zum Zitat Cui, Y.-P., Chi, C.-M.: A simple method of estimating parameters in the Van Genuchten model of sand soil. Hubei Agric. Sci. 54(7), 1696–1698 (2015). (in Chinese) Cui, Y.-P., Chi, C.-M.: A simple method of estimating parameters in the Van Genuchten model of sand soil. Hubei Agric. Sci. 54(7), 1696–1698 (2015). (in Chinese)
4.
Zurück zum Zitat Mo, Y.-B., Liu, F.-Y., Ma, Y.-Z.: Improved artificial glowworm swarm optimization algorithm for solving parameters of Van Genuchten equation. Comput. Sci. 40(11), 131–139 (2013). (in Chinese) Mo, Y.-B., Liu, F.-Y., Ma, Y.-Z.: Improved artificial glowworm swarm optimization algorithm for solving parameters of Van Genuchten equation. Comput. Sci. 40(11), 131–139 (2013). (in Chinese)
5.
Zurück zum Zitat Du, G.-M., Zhang, Y.-L.: Calculate the van Genuchten equation parameters based on PSO. J. Irrig. Drainage 31(6), 60–63 (2012). (in Chinese)MathSciNet Du, G.-M., Zhang, Y.-L.: Calculate the van Genuchten equation parameters based on PSO. J. Irrig. Drainage 31(6), 60–63 (2012). (in Chinese)MathSciNet
6.
Zurück zum Zitat Xing, C.-M., Dai, Y., Yang, L.: Solving parameters of Van Genuchten equation by improved harmony search algorithm. J. Comput. Appl. 32(8), 2159–2164 (2012). (in Chinese) Xing, C.-M., Dai, Y., Yang, L.: Solving parameters of Van Genuchten equation by improved harmony search algorithm. J. Comput. Appl. 32(8), 2159–2164 (2012). (in Chinese)
7.
Zurück zum Zitat Wang, Y.-Q., Wang, Y.-H., Zhang, K.-D.: The parametric optimization of Van Genuchten equation based on pattern search algorithm. Rural Water Conservancy Hydropower China 9, 8–14 (2010). (in Chinese) Wang, Y.-Q., Wang, Y.-H., Zhang, K.-D.: The parametric optimization of Van Genuchten equation based on pattern search algorithm. Rural Water Conservancy Hydropower China 9, 8–14 (2010). (in Chinese)
8.
Zurück zum Zitat Ma, Y.J., Shen, B.: Estimating parameters by solving Van Genuchten equation using the damper least square method. Trans. Chin. Soc. Agric. Eng. 21(8), 179–180 (2005). (in Chinese) Ma, Y.J., Shen, B.: Estimating parameters by solving Van Genuchten equation using the damper least square method. Trans. Chin. Soc. Agric. Eng. 21(8), 179–180 (2005). (in Chinese)
9.
Zurück zum Zitat Xu, X.-J., Tu, F.-F., Huang, X.-P.: Application of differential evolution in optimizing parameters of Van Genuchten equation. J. Hefei Univ. Technol. 31(11), 1863–1866 (2008). (in Chinese) Xu, X.-J., Tu, F.-F., Huang, X.-P.: Application of differential evolution in optimizing parameters of Van Genuchten equation. J. Hefei Univ. Technol. 31(11), 1863–1866 (2008). (in Chinese)
10.
Zurück zum Zitat Liao, L.-X., Shao, X.-H., Xu, J.-Z.: Estimating parameters of Van Genuchen equation based on intelligent algorithms. SHUILI XUEBAO 10, 696–700 (2007). (in Chinese) Liao, L.-X., Shao, X.-H., Xu, J.-Z.: Estimating parameters of Van Genuchen equation based on intelligent algorithms. SHUILI XUEBAO 10, 696–700 (2007). (in Chinese)
11.
Zurück zum Zitat Rao, R.V., Savsani, V.J., Vakharia, D.P.: Teaching-learning-based optimization: a novel method for constrained mechanical design optimization problems. Comput.-Aided Des. 43(3), 303–315 (2011)CrossRef Rao, R.V., Savsani, V.J., Vakharia, D.P.: Teaching-learning-based optimization: a novel method for constrained mechanical design optimization problems. Comput.-Aided Des. 43(3), 303–315 (2011)CrossRef
12.
Zurück zum Zitat Tuo, S.-H., Yong, L.-Q., Deng, F.-A.: Survey of teaching-learning-based optimization algorithms. Appl. Res. Comput. 30(7), 1933–1938 (2013). (in Chinese) Tuo, S.-H., Yong, L.-Q., Deng, F.-A.: Survey of teaching-learning-based optimization algorithms. Appl. Res. Comput. 30(7), 1933–1938 (2013). (in Chinese)
13.
Zurück zum Zitat Wang, J.-S., Yang, Z.-F., Chen, J.-J., Wang, Z.-M.: Study on water hysteresis in aerated soil. SHUILI XUEBAO 2, 1–6 (2000). (in Chinese) Wang, J.-S., Yang, Z.-F., Chen, J.-J., Wang, Z.-M.: Study on water hysteresis in aerated soil. SHUILI XUEBAO 2, 1–6 (2000). (in Chinese)
Metadaten
Titel
Estimating Parameters of Van Genuchten Equation Based on Teaching-Learning-Based Optimization Algorithm
verfasst von
Fahui Gu
Kangshun Li
Lei Yang
Wei Li
Copyright-Jahr
2016
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-10-0356-1_35