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Seismic Hazard Analysis Using the Adaptive Kernel Density Estimation Technique for Chennai City

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Abstract

Conventional method of probabilistic seismic hazard analysis (PSHA) using the Cornell–McGuire approach requires identification of homogeneous source zones as the first step. This criterion brings along many issues and, hence, several alternative methods to hazard estimation have come up in the last few years. Methods such as zoneless or zone-free methods, modelling of earth’s crust using numerical methods with finite element analysis, have been proposed. Delineating a homogeneous source zone in regions of distributed seismicity and/or diffused seismicity is rather a difficult task. In this study, the zone-free method using the adaptive kernel technique to hazard estimation is explored for regions having distributed and diffused seismicity. Chennai city is in such a region with low to moderate seismicity so it has been used as a case study. The adaptive kernel technique is statistically superior to the fixed kernel technique primarily because the bandwidth of the kernel is varied spatially depending on the clustering or sparseness of the epicentres. Although the fixed kernel technique has proven to work well in general density estimation cases, it fails to perform in the case of multimodal and long tail distributions. In such situations, the adaptive kernel technique serves the purpose and is more relevant in earthquake engineering as the activity rate probability density surface is multimodal in nature. The peak ground acceleration (PGA) obtained from all the three approaches (i.e., the Cornell–McGuire approach, fixed kernel and adaptive kernel techniques) for 10% probability of exceedance in 50 years is around 0.087 g. The uniform hazard spectra (UHS) are also provided for different structural periods.

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References

  • Abramson, I. (1982), On bandwidth variation in kernel estimates—a square root law, The Annals of Statistics 10, 1217–1223.

  • Allen, C.R., Amand, P.St., Richter, C.F., and Nordquist, J. M. (1965), Relationship between seismicity and geologic structure in the southern California region, Bulletin of the Seismological Society of America 55(4), 753–797.

  • Bak, P., How Nature Works, (New York: Springer-Verlag, 1996).

  • Beauval, C., and Scotti, O. (2003), Mapping b-values in France using two different magnitude ranges: possible non power-law behaviour, Geophysical Research Letter 30(17), 4.

  • Beauval, C., Scotti, O., and Bonilla, F. (2006a), The role of seismicity models in probabilistic seismic hazard estimation: Comparison of a zoning and a smoothing approach. Geophysical Journal International 165, 584–595.

  • Beauval, C., Hainzl, S., and Scherbaum, F. (2006b), The impact of the spatial uniform distribution of seismicity on probabilistic seismic-hazard estimation, Bulletin of the Seismological Society of America 96(6), 2465–2471.

  • Bender, B. (1986), Modelling source zone boundary uncertainty in seismic hazard analysis, Bulletin of the Seismological Society of America 76(2), 329–341.

  • Brunsdon, C. (1995), Estimating probability surfaces for geographical point data: an adaptive kernel algorithm, Computers and Geosciences 21(7), 877–894.

  • Chan, C. H., and Grunthal, G. (2008), Developing new approaches to earthquake hazard assessment and forecasting, Network for Research Infrastructures for European Seismology EC Project number: 026130.

  • Chandra, U. (1977), Earthquakes of peninsular India—A seismotectonic study, Bulletin of the Seismological Society of America 67(5), 1387–1413.

  • Chen, Y., Liu, J., Chen, L., Chen, Q., and Chan, L.S. (1998), Global seismic hazard assessment based on area source model and seismicity data, Natural Hazards 17, 251–267.

  • Cornell, C.A. (1968), Engineering seismic risk analysis, Bulletin of the Seismological Society of America 58, 1583–1606.

  • Dasgupta, S., Pande, P., Ganguly, D., Iqbal, Z., Sanyal, K., Venkatraman, N.V., Dasgupta, S., Sural, B., Harendranath, L., Mazumdar, K., Sanyal, S., Roy, A., Das, L. K., Misra, P.S., and Gupta, H. (2000), Seismotectonic Atlas of India and Its Environs, Geological Survey of India Spec. Publ. No. 59, Kolkata, India.

  • de Smith, M.J., Goodchild, M.F., and Longley, P.A., Geospatial Analysis—A Comprehensive Guide. 3rd edn. (Leicester: The Winchelsea Press, 2009).

  • Frankel, A. (1995). Mapping seismic hazard in the central and eastern United States, Seismological Research Letters, 66, 8–21.

  • Gardner, J.K., and Knopoff, L. (1974), Is the sequence of earthquakes in southern California, with aftershocks removed, Poissonian? Bulletin of the Seismological Society of America 64(5), 1363–1367.

  • Gupta, I.D. (2006), Delineation of probable seismic sources in India and neighbourhood by a comprehensive analysis of seismotectonic characteristics of the region, Soil Dynamics and Earthquake Engineering 26, 766–790.

  • Gupta, I.D., Todorovska, M.I., Gupta, V.K., Lee, V.W., and Trifunac, M.D. (1995), Selected topicsin probabilistic seismic hazard analysis, Report No. CE95-08, University of Southern California, Los Angeles, 304.

  • Indian Standards (2002), IS 1893: 2002. Indian standard criteria for earthquake resistant design of structures, Part 1—General provisions and buildings, New Delhi, Bureau of Indian Standards.

  • Jaiswal, K., and Sinha, R. (2007), Probabilistic seismic—hazard estimation for peninsular India, Bulletin of the Seismological Society of America 97(1B), 318–330.

  • Kramer, S.L., Geotechnical Earthquake Engineering (Englewood Cliffs, New Jersey: Prentice Hall, 1996).

  • Krinitzsky, E.L. (1993). Earthquake probability in engineering—Part 2: Earthquake recurrence and limitations of Gutenberg-Richter b-values for the engineering of critical structures The Third Richard H. Jahns Distinguished Lecture in Engineering Geology, Engineering Geology 36, 1–52.

  • Lapajne, J., Motnikar, B. S., and Zupancic, P. (2003), Probabilistic seismic hazard assessment methodology for distributed seismicity, Bulletin of the Seismological Society of America 93(6), 2502–2515.

  • McGuire, R.K., and Abrabasz, W.J. (1990), An introduction to probabilistic seismic hazard analysis, In S.H. Ward. ed. Geotechnical and Environmental Geophysics, Society of Exploration Geophysicists 1, pp. 333–353.

  • Mittal, A., and Paragios, N. (2004), Motion-based background subtraction using adaptive kernel Density Estimation, 2004, IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR’04) 2, 302–309.

  • Molina, S., Lindholm, C. D., and Bungum, H. (2001), Probabilistic seismic hazard analysis: Zoning free versus zoning methodology, Bollettino Di Geofisica Teorica Ed Applicata 42(1–2), 19–39.

  • Mugdadi, A.R., and Ahmad, I.A. (2004), A bandwidth selection of kernel density estimation of functions of random variables, Computational Statistics and Data Analysis 47, 49–62.

  • Ordaz, M., Augilar, A., and Arboleda, J. (2007), CRISIS2007 Ver 1.1: Program for computing seismic hazard. Instituto de Ingenieria UNAM, Mexico.

  • Principia (2005), Seismic hazard evaluation, LNG plant at Taranto (Italy), Report No.: 673 Rev. 1, Project No. P-373.

  • Raghukanth S.T.G., and Iyengar R.N. (2007), Estimation of seismic spectral acceleration in peninsular India, Journal of Earth System Science 116, 199–214.

  • Rao, R.B. (1992), Seismicity and geodynamics of the low-to high-grade transition zone of peninsular India, Tectonophysics 201, 175–185.

  • Rao, R.B. (2000), Historical seismicity and deformation rates in the Indian peninsular shield, Journal of Seismology 4, 247–258.

  • Rao, R.B., and Rao, S.P. (1984), Historical seismicity of peninsular India, Bulletin of the Seismological Society of America 74(6), 2519–2533.

  • Reiter, L., Earthquake Hazard Analysis: Issues and Insights (New York: Columbia University Press, 1991).

  • Scott, W.D., Multivariate Density Estimation (New York: John Wiley and Sons, 1992).

  • Secanell, R., Bertil, D., Martin, C., Goula, X., Susagna, T., Tapia, M., Dominique, P., Carbon, D., and Fleta, J. (2008), Probabilistic seismic hazard assessment of the Pyrenean region, Journal of Seismology 12, 323–341.

  • Silverman, B.W., Density estimation for statistics and data analysis, Monographs on Statistics and Applied Probability (London: Chapman and Hall, 1986).

  • Stainslaw, L., and Sikora, O.B. (2008), Seismic hazard assessment under complex source size distribution of mining—induced seismicity, Tectonophysics 456, 28–37.

  • Stepp, J.C. (1974), Analysis of completeness of the earthquake sample in the Puget sound area. In: S.T. Harding, ed., NOAA Technical Report ERL 267-ESL 30, Contributions to Seismic Zoning 16–28.

  • Stock, C., and Smith, E.G.C. (2002a), Adaptive kernel estimation and continuous probability representation of historical earthquake catalogs, Bulletin of the Seismological Society of America 92(3), 904–912.

  • Stock, C., and Smith, E.G.C. (2002b), Comparison of seismicity models generated by different kernel estimations, Bulletin of the Seismological Society of America 92(3), 913–922.

  • Subrahmanya, K.R. (1995), Active intraplate deformation in south India, Tectonophysics 262, 231–241.

  • Vere-Jones, D. (1992), Statistical methods for the description and display of earthquake catalogs. In: A.T. Walden, and P. Guttorp, eds. Statistics in the Environmental and Earth Sciences. (London: Arnold Publishers 1992), 220–246.

  • Vipin, K.S., Anbazhagan, P., and Sitharam, T.G. (2009), Estimation of peak ground acceleration and spectral acceleration for south India with local site effects: probabilistic approach, Natural Hazards and Earth System Sciences 9, 865–878.

  • Walling, Y.M., and Mohanty, K.W. (2009), An overview on the seismic zonation and microzonation studies in India, Earth-Science Reviews 96, 67–91.

  • Wand, M.P., and Jones, M.C. (1995), Kernel Smoothing, Monographs on Statistics and Applied Probability (London: Chapman and Hall).

  • Woo, G. (1996), Kernel estimation methods for seismic hazard area source modeling, Bulletin of the Seismological Society of America 86(2), 353–362.

  • Zolfaghari, M.R. (2009), Use of raster-based data layers to model spatial variation of seismotectonic data in probabilistic seismic hazard assessment, Computers and Geosciences 35, 1460–1469.

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Acknowledgments

Authors would like to express their sincere thanks to the India Meteorological Department (IMD), New Delhi for sharing the earthquake data relevant to the study presented in the paper. The authors also wish to thank Dr. Gordon Woo for sharing the KERFRACT program for carrying out a part of the work presented in the paper. Comments from anonymous reviewers are highly appreciated and they greatly improved the clarity of the paper.

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  1. Department of Civil Engineering, Indian Institute of Technology Madras, Chennai, 600 036, India

    C. K. Ramanna & G. R. Dodagoudar

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  1. C. K. Ramanna
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  2. G. R. Dodagoudar
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Correspondence to C. K. Ramanna.

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Ramanna, C.K., Dodagoudar, G.R. Seismic Hazard Analysis Using the Adaptive Kernel Density Estimation Technique for Chennai City. Pure Appl. Geophys. 169, 55–69 (2012). https://doi.org/10.1007/s00024-011-0264-8

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