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

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Part of the book series: Communications in Computer and Information Science ((CCIS,volume 575))

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.

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References

  1. 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)

    Article  Google Scholar 

  2. 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)

    Google Scholar 

  3. 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)

    Google Scholar 

  4. 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)

    Google Scholar 

  5. 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  Google Scholar 

  6. 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)

    Google Scholar 

  7. 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)

    Google Scholar 

  8. 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)

    Google Scholar 

  9. 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)

    Google Scholar 

  10. 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)

    Google Scholar 

  11. 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)

    Article  Google Scholar 

  12. 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)

    Google Scholar 

  13. 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)

    Google Scholar 

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Acknowledgments

This work is financially supported by the National Natural Science Foundation of China with the Grant No. 61573157, the Fund of Natural Science Foundation of Guangdong Province of China with the Grant No. 2014A030313454, the Education Department of Jiangxi province of china science and technology research projects with the Grant No. GJJ14807.

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Correspondence to Fahui Gu .

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© 2016 Springer Science+Business Media Singapore

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Gu, F., Li, K., Yang, L., Li, W. (2016). Estimating Parameters of Van Genuchten Equation Based on Teaching-Learning-Based Optimization Algorithm. In: Li, K., Li, J., Liu, Y., Castiglione, A. (eds) Computational Intelligence and Intelligent Systems. ISICA 2015. Communications in Computer and Information Science, vol 575. Springer, Singapore. https://doi.org/10.1007/978-981-10-0356-1_35

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  • DOI: https://doi.org/10.1007/978-981-10-0356-1_35

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-0355-4

  • Online ISBN: 978-981-10-0356-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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