Abstract
In this paper, we discuss the results of research on the optimization modeling of ground motion attenuation in the subduction zone of the model Youngs et al. [1] using two methods: the Levenberg-Marquard and Bruce-Force method. This modeling is particularly important in the case of seismicity. Given that it takes a good model for predicting the strength of earthquakes in order to reduce the risk of the impact of natural disasters. Two major contributions of this study are ground motion attenuation model specific to the subduction zone that has been optimized with the Levenberg-Marquard method and Bruce-Force uses a model Youngs et al. [1] and a proof that the Levenberg-Marquard method for optimization model is better than Bruce-Force method. The Levenberg-Marquardt method has been proven to provide more accurate results on the modeling of ground motion attenuation which is indicated by a very small deviation between the values of PGA predictable results with the PGA actual values.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
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)
USGS: United States Geological Survey. http://earthquake.usgs.gov
Irwansyah, E., Winarko, E., Rasjid, Z., Bekti, R.: Earthquake hazard zonation using peak ground acceleration (PGA) approach. J. Phys.: Conf. Ser. 423, 012067 (2013). IOP Publishing
Miura, H., Wijeyewickrema, A.C., Inoue, S.: Evaluation of tsunami damage in the eastern part of sri lanka due to the 2004 sumatra earthquake using high-resolution satellite images. In: Proceedings of the 3rd International Workshop on Remote Sensing for Post-Disaster Response, Chiba, Japan (2005)
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)
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)
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)
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)
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)
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)
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 GeofÃsica 30(3) (2012)
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. Earthquake Eng. 25(1), 11–25 (2005)
Crouse, C.: Ground-motion attenuation equations for earthquakes on the cascadia subduction zone. Earthquake Spectra 7(2), 201–236 (1991)
Ritz, C., Streibig, J.C.: Nonlinear Regression with R. Springer Science & Business Media (2008)
Levenberg, K.: A method for the solution of certain non-linear problems in least squares. Q. Appl. Math. 2(2), 164–168 (1944)
Marquardt, D.W.: An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Ind. Appl. Math. 11(2), 431–441 (1963)
Mudelsee, M.: Ramp function regression: a tool for quantifying climate transitions. Comput. Geosci. 26(3), 293–307 (2000)
Grothendieck, G.: nls2: Non-linear regression with brute force. R package version 0.2 (2013)
Tsagaan, B., Näppi, J., Yoshida, H.: Nonlinear regression-based method for pseudoenhancement correction in CT colonography. Med. Phys. 36(8), 3596–3606 (2009)
Archontoulis, S.V., Miguez, F.E.: Nonlinear regression models and applications in agricultural research. Agron. J. 107(2), 786–798 (2015)
Acknowledgments
We gratefully acknowledge the support of institutions in the implementation of this research. Many thanks to the national meteorological, climatology and geophysical agency (BMKG), Jakarta, Indonesia, which supported the availability of data for testing and data validation. We also thank the research and technology transfer office (RTTO) of Bina Nusantara University, which provided internal funding for the research until the publication of this article.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG
About this paper
Cite this paper
Irwansyah, E., Kanigoro, B., Budiman, P., Bekti, R.D. (2018). Earthquake Ground Motion Attenuation Modeling Using Levenberg-Marquardt and Brute-Force Method. In: Silhavy, R., Silhavy, P., Prokopova, Z. (eds) Applied Computational Intelligence and Mathematical Methods. CoMeSySo 2017. Advances in Intelligent Systems and Computing, vol 662. Springer, Cham. https://doi.org/10.1007/978-3-319-67621-0_26
Download citation
DOI: https://doi.org/10.1007/978-3-319-67621-0_26
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-67620-3
Online ISBN: 978-3-319-67621-0
eBook Packages: EngineeringEngineering (R0)