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Ant Colony Optimization for Nonlinear Inversion of Rayleigh Waves

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Abstract

Inversion of Rayleigh wave dispersion curves not only undergoes computational difficulties associated with being trapped by local minima for most local-search methods but also suffers from the high computational time for most global optimization methods due to its multimodality and its high nonlinearity. In order to effectively overcome the above described difficulties, we proposed a new Rayleigh wave inversion scheme based on an ant colony optimization, a commonly used swarm intelligence algorithm. The calculation efficiency and stability of the proposed procedure are tested on a five-layer synthetic model and a real-world example. Results from both synthetic and real field data demonstrate that ant colony optimization applied to nonlinear inversion of Rayleigh waves should be considered good not only in terms of computation time but also in terms of accuracy due to its global and fast convergence in the final stage of exploration.

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References

  1. Park, C.B., Miller, R.D., Xia, J.: Multichannel analysis of surface waves. Geophysics 64, 800–808 (1999)

    Article  Google Scholar 

  2. Song, X., Gu, H., Liu, J., Zhang, X.: Estimation of shallow subsurface shear-wave velocity by inverting fundamental and higher-mode Rayleigh waves. Soil Dynamics and Earthquake Engineering 27(7), 599–607 (2007)

    Article  Google Scholar 

  3. Song, X., Gu, H.: Utilization of multimode surface wave dispersion for characterizing roadbed structure. Journal of Applied Geophysics 63(2), 59–67 (2007)

    Article  Google Scholar 

  4. Song, X., Gu, H., Zhang, X., Liu, J.: Pattern search algorithms for nonlinear inversion of high-frequency Rayleigh wave dispersion curves. Computers & Geosciences 34(6), 611–624 (2008)

    Article  Google Scholar 

  5. Song, X., Li, D., Gu, H., Liao, Y., Ren, D.: Insights into performance of pattern search algorithms for high-frequency surface wave analysis. Computers & Geosciences 35(8), 1603–1619 (2009)

    Article  Google Scholar 

  6. Yamanaka, H., Ishida, H.: Application of genetic algorithm to an inversion of surface wave dispersion data. Bulletin of the Seismological Society of America 86, 436–444 (1996)

    MathSciNet  Google Scholar 

  7. Beaty, K.S., Schmitt, D.R., Sacchi, M.: Simulated annealing inversion of multimode Rayleigh-wave dispersion curves for geological structure. Geophysical Journal International 151, 622–631 (2002)

    Article  Google Scholar 

  8. Shirazi, H., Abdallah, I., Nazarian, S.: Developing artificial neural network models to automate spectral analysis of surface wave method in pavements. Journal of Computing in Civil Engineering 21(12), 722–729 (2009)

    Google Scholar 

  9. Tillmann, A.: An unsupervised wavelet transform method for simultaneous inversion of multimode surface waves. Journal of Environmental & Engineering Geophysics 10(3), 287–294 (2005)

    Article  Google Scholar 

  10. Dal Moro, G., Pipan, M.: Joint inversion of surface wave dispersion curves and reflection travel times via multi-objective evolutionary algorithms. Journal of Applied Geophysics 61(1), 56–81 (2007)

    Article  Google Scholar 

  11. Maraschini, M., Foti, S.: A Monte Carlo multimodal inversion of surface waves. Geophysical Journal International 182(3), 1557–1566 (2010)

    Article  Google Scholar 

  12. Dorigo, M., Blum, C.: Ant colony optimization theory: a survey. Theoretical Computer Science 344(2-3), 243–278 (2005)

    Article  MathSciNet  MATH  Google Scholar 

  13. Socha, K., Dorigo, M.: Ant colony optimization for continuous domains. European Journal of Operational Research 185(3), 1155–1173 (2008)

    Article  MathSciNet  MATH  Google Scholar 

  14. Toksari, M.D.: Ant colony optimization for finding the global minimum. Applied Mathematics and Computation 176, 308–316 (2006)

    Article  MathSciNet  MATH  Google Scholar 

  15. Shaw, R., Srivastava, S.: Particle swarm optimization: a new tool to invert geophysical data. Geophysics 72(2), 75–83 (2007)

    Article  Google Scholar 

  16. Shelokar, P.S., Siarry, P., Jayaraman, V.K., Kulkarni, B.D.: Particle swarm and ant colony algorithms hybridized for improved continuous optimization. Applied Mathematics and Computation 188, 129–142 (2007)

    Article  MathSciNet  MATH  Google Scholar 

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Xu, J., Song, X. (2012). Ant Colony Optimization for Nonlinear Inversion of Rayleigh Waves. In: Huang, DS., Gan, Y., Premaratne, P., Han, K. (eds) Bio-Inspired Computing and Applications. ICIC 2011. Lecture Notes in Computer Science(), vol 6840. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-24553-4_49

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  • DOI: https://doi.org/10.1007/978-3-642-24553-4_49

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-24552-7

  • Online ISBN: 978-3-642-24553-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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