Advertisement

Computer-Based Ground Motion Attenuation Modeling Using Levenberg-Marquardt Method

  • E. Irwansyah
  • Rian Budi Lukmanto
  • Rokhana D. Bekti
  • Priscilia Budiman
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 466)

Abstract

In this paper, we present the results of research on the optimization modeling of ground motion attenuation of the two establish models by Youngs et al. [25] and the model of Lin and Lee [13] using the Levenberg-Marquardt method. This modeling is particularly important in the case of ground motion given that it takes a good model for predicting the strength of earthquakes in order to reduce the risk of the impact of the natural disaster. There are two main contributions of this research is the optimization of ground motion attenuation models with Levenberg-Marquardt method on two models that have been extensively used and the development of computer applications to help accelerate modeling, especially on large data with an area of extensive research. Levenberg-Marquardt method proved to give a good contribution to the modeling of ground motion attenuation that is indicated by the very small deviations between the predicted values with the actual value.

Keywords

Ground motion attenuation Levenberg-Marquardt Earthquake 

References

  1. 1.
    Ahumada, A., Altunkaynak, A., Ayoub, A.: Fuzzy logic-based attenuation relationships of strong motion earthquake records. Expert Syst. Appl. 42(3), 1287–1297 (2015)CrossRefGoogle Scholar
  2. 2.
    Atkinson, G.M., Boore, D.M.: Empirical ground-motion relations for subduction-zone earthquakes and their application to cascadia and other regions. Bull. Seismol. Soc. Am. 93(4), 1703–1729 (2003)CrossRefGoogle Scholar
  3. 3.
    Atkinson, G.M., Silva, W.: Stochastic modeling of california ground motions. Bull. Seismol. Soc. Am. 90(2), 255–274 (2000)CrossRefGoogle Scholar
  4. 4.
    Boore, D.M., Joyner, W.B., Fumal, T.E.: Equations for estimating horizontal response spectra and peak acceleration from western north american earthquakes: a summary of recent work. Seismol. Res. Lett. 68(1), 128–153 (1997)CrossRefGoogle Scholar
  5. 5.
    Campbell, K.W.: Prediction of strong ground motion using the hybrid empirical method and its use in the development of ground-motion (attenuation) relations in eastern north america. Bull. Seismol. Soc. Am. 93(3), 1012–1033 (2003)CrossRefGoogle Scholar
  6. 6.
    Crouse, C.: Ground-motion attenuation equations for earthquakes on the cascadia subduction zone. Earthq. Spectra 7(2), 201–236 (1991)CrossRefGoogle Scholar
  7. 11.
    de Lautour, O.R., Omenzetter, P.: Prediction of seismic-induced structural damage using artificial neural networks. Eng. Struct. 31(2), 600–606 (2009)CrossRefGoogle Scholar
  8. 19.
    do Nascimento, P.F., França, G.S., Moreira, L.P., Von Huelsen, M.G.: Application of gauss-marquardt-levenberg method in the inversion of receiver function in central brazil. Revista Brasileira de Geofsica 30(3) (2012)Google Scholar
  9. 7.
    Elzhov, T., Mullen, K., Spiess, A., Bolker, B.: minpack. lm: R interface to the Levenberg-Marquardt nonlinear least-squares algorithm found in minpack, plus support for bounds. R Packag version 1, 1–8 (2013)Google Scholar
  10. 8.
    Gregor, N.J., Silva, W.J., Wong, I.G., Youngs, R.R.: Ground-motion attenuation relationships for cascadia subduction zone megathrust earthquakes based on a stochastic finite-fault model. Bull. Seismol. Soc. Am. 92(5), 1923–1932 (2002)CrossRefGoogle Scholar
  11. 9.
    Irwansyah, E., Winarko, E., Rasjid, Z., Bekti, R.: Earthquake hazard zonation using peak ground acceleration (pga) approach. J. Phys: Conf. Ser. 423(1), 012067 (2013)Google Scholar
  12. 10.
    Kanno, T., Narita, A., Morikawa, N., Fujiwara, H., Fukushima, Y.: A new attenuation relation for strong ground motion in japan based on recorded data. Bull. Seismol. Soc. Am. 96(3), 879–897 (2006)CrossRefGoogle Scholar
  13. 12.
    Levenberg, K.: A method for the solution of certain non–linear problems in least squares. Q. Appl. Math. (1944)Google Scholar
  14. 13.
    Lin, P.S., Lee, C.T.: Ground-motion attenuation relationships for subduction-zone earthquakes in northeastern taiwan. Bull. Seismol. Soc. Am. 98(1), 220–240 (2008)CrossRefGoogle Scholar
  15. 14.
    Ma, L., Xu, F., Wang, X., Tang, L.: Earthquake prediction based on Levenberg-Marquardt algorithm constrained back-propagation neural network using demeter data. In: Knowledge Science, Engineering and Management, pp. 591–596. Springer (2010)Google Scholar
  16. 15.
    Marquardt, D.W.: An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Ind. Appl. Math. 11(2), 431–441 (1963)MathSciNetCrossRefzbMATHGoogle Scholar
  17. 16.
    Megawati, K., Pan, T.C.: Ground-motion attenuation relationship for the sumatran megathrust earthquakes. Earthq. Eng. Struct. Dyn. 39(8), 827–845 (2010)Google Scholar
  18. 17.
    Megawati, K., Pan, T.C., Koketsu, K.: Response spectral attenuation relationships for sumatran-subduction earthquakes and the seismic hazard implications to singapore and kuala lumpur. Soil Dyn. Earthq. Eng. 25(1), 11–25 (2005)CrossRefGoogle Scholar
  19. 18.
    Monahan, J.F.: Numerical Methods of Statistics. Cambridge University Press (2011)Google Scholar
  20. 20.
    Petersen, M.D., Dewey, J., Hartzell, S., Mueller, C., Harmsen, S., Frankel, A., Rukstales, K.: Probabilistic seismic hazard analysis for sumatra, indonesia and across the southern malaysian peninsula. Tectonophysics 390(1), 141–158 (2004)CrossRefGoogle Scholar
  21. 21.
    Pressman, R.S.: Software Engineering: A Practitioner’s Approach. McGraw-Hill, NY (2010)zbMATHGoogle Scholar
  22. 22.
    Ramsey, J.B.: Tests for specification errors in classical linear least-squares regression analysis. Journal of the Royal Statistical Society. Series B (Methodological) pp. 350–371 (1969)Google Scholar
  23. 23.
    Ritz, C., Streibig, J.C.: Nonlinear regression with R. Springer (2008)Google Scholar
  24. 24.
    Santoso, E., Widiyantoro, S., Sukanta, I.N.: Studi hazard seismik dan hubungannya dengan intensitas seismik di pulau sumatera dan sekitarnya. Jurnal Meteorologi dan Geofisika 12(2) (2011)Google Scholar
  25. 25.
    Youngs, R., Chiou, S.J., Silva, W., Humphrey, J.: Strong ground motion attenuation relationships for subduction zone earthquakes. Seismol. Res. Lett. 68(1), 58–73 (1997)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • E. Irwansyah
    • 1
  • Rian Budi Lukmanto
    • 1
  • Rokhana D. Bekti
    • 2
  • Priscilia Budiman
    • 3
  1. 1.School of Computer ScienceBina Nusantara UniversityJakartaIndonesia
  2. 2.Department of StatisticsInstitut Sains and Teknologi AKPRINDYogyakartaIndonesia
  3. 3.Department of StatisticsBina Nusantara UniversityJakartaIndonesia

Personalised recommendations