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Modelling of empirical accelerograms of 2011 Sikkim earthquake (Mw 6.9) using the modified hybrid technique

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Abstract

The strong ground motions at a particular site played an important part from the point of view of seismic hazard estimation. For this purpose, various methods/techniques are present in the seismological literature. A hybrid technique, based on the composite source model and envelope technique has been modified in the present research to simulate the ground motions for an earthquake at the surface level. For modifying the technique, the effects of high-frequency parameter kappa (κ) and empirical transfer functions have been included in the hybrid method. The reliability of the modified hybrid technique has been confirmed by modelling the empirical accelerograms of the 2011 Sikkim earthquake (M 6.9). The empirical transfer functions have been computed by the use of observed data of the earthquake. The causative fault of the earthquake has been identified by simulating the accelerograms considering both the nodal planes separately. The essential parameters of the strong ground motions are peak ground acceleration (PGA), duration of the accelerograms, response and Fourier spectrum of simulated accelerograms have been found consistent with recorded ones. Based on the comparison between simulated and observed accelerograms, the regression relation for attenuation of PGA and quality factor (Q) for the region have been identified. The hybrid technique modified here is capable of generating realistic simulated accelerograms for future similar earthquakes in the region. These findings might be obliging in preparing seismic-scenario hazard maps of the region required in the mitigation plans.

Article Highlights

  • Hybrid Technique is modified by introducing the high-frequency parameter (kappa) and empirical transfer function.

  • Modified Hybrid technique is used to model the empirical accelerograms for 2011, Sikkim Earthquake (Mw 6.9).

  • Constrained the attenuation relation of PGA and frequency-dependent Q-relation for the Sikkim Himalaya region.

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References

  • Abrahamson N A and Litehiser J J 1989 Attenuation of vertical peak acceleration; Bull. Seismol. Soc. Am. 79(3) 549–580.

    Google Scholar 

  • Anderson J G and Yu G 1996 Predictability of strong motions from the Northridge, California, earthquake; Bull. Seismol. Soc. Am. 86(1B) S100–S114.

    Article  Google Scholar 

  • Apsel R J and Luco J E 1983 On the Green’s functions for a layered half-space Part II; Bull. Seismol. Soc. Am. 73(4) 931–951.

    Article  Google Scholar 

  • Ascher U and Spudich P 1986 A hybrid collocation method for calculating complete theoretical seismograms in vertically varying media; Geophys. J. R. Astron. Soc. 86 19–40.

    Article  Google Scholar 

  • Atkinson G M and Boore D M 1995 Ground-motion relations for eastern North America; Bull. Seismol. Soc. Am. 85(1) 17–30.

    Article  Google Scholar 

  • Atkinson G M and Cassidy J F 2000 Integrated use of seismograph and strong-motion data to determine soil amplification: Response of the Fraser River Delta to the Duvall and Georgia Strait earthquakes; Bull. Seismol. Soc. Am. 90 1028–1040, https://doi.org/10.1785/0119990098.

    Article  Google Scholar 

  • Atkinson G M and Silva W 1997 An empirical study of earthquake source spectra for California earthquakes; Bull. Seismol. Soc. Am. 87(1) 97–113.

    Article  Google Scholar 

  • Atkinson G M and Silva W 2000 Stochastic modeling of California ground motions; Bull. Seismol. Soc. Am. 90 255–274, https://doi.org/10.1785/0119990064.

    Article  Google Scholar 

  • Bath M 1974 Spectral analysis in Geophysics; Elsevier Scientific Publishing Company.

  • Beradi R, Jimenez M, Zonno G and Gracia-Fernandez M 1999 Calibration of stochastic ground motion simulations for the 1997 Umbria-Marche, Central Italy, earthquake sequence; In: On Soil Dynamics and Earthquake Engineering, SDEE 99.

  • Beresnev I A and Atkinson G M 1997 Modeling finite-fault radiation from the ωn spectrum; Bull. Seismol. Soc. Am. 87(1) 67–84.

    Article  Google Scholar 

  • Boore D M 1983 Stochastic simulation of high-frequency ground motions based on seismological models of the radiated spectra; Bull. Seismol. Soc. Am. 73(6A) 1865–1894.

    Google Scholar 

  • Boore D M and Atkinson G M 1987 Stochastic prediction of ground motion and spectral response parameters at hard-rock sites in eastern North America; Bull. Seismol. Soc. Am. 77(2) 440–467.

    Google Scholar 

  • Boore D M and Atkinson G M 2008 Ground-motion prediction equations for the average horizontal component of PGA, PGV, and 5%-damped PSA at spectral periods between 0.01 s and 10.0 s; Earthq. Spectra 24 99–138, https://doi.org/10.1193/1.2830434.

    Article  Google Scholar 

  • Bouchon M 1987 Numerical simulation of earthquake ground motion; In: Strong Ground Motion Seismology; Springer, Netherlands, Dordrecht, pp. 185–207.

    Chapter  Google Scholar 

  • Brune J N 1970 Tectonic stress and spectra of shear waves from earthquakes; J. Geophys. Res. 75 4997–5009.

    Article  Google Scholar 

  • Brune J N 1971 Correction; J. Geophys. Res. 76 5002.

    Google Scholar 

  • Castro R R, Mucciarelli M, Pacor F and Petrungaro C 1997 S-wave site-response estimates using horizontal-to-vertical spectral ratios; Bull. Seismol. Soc. Am. 87(1) 256–260.

    Article  Google Scholar 

  • Chopra S, Sharma J, Sutar A and Bansal B K 2014 Estimation of source parameters of Mw 6.9 Sikkim earthquake and modeling of ground motions to determine causative fault; Pure Appl. Geophys. 171 1311–1328, https://doi.org/10.1007/s00024-013-0722-6.

    Article  Google Scholar 

  • Dan K, Ishii T and Ebihara M 1993 Estimation of strong ground motions in meizoseismal region of the 1976 Tangshan, China, earthquake; Bull. Seismol. Soc. Am. 83(6) 1756–1777.

    Article  Google Scholar 

  • Dasgupta S, Ganguly J and Neogi S 2004 Inverted metamorphic sequence in the Sikkim Himalayas: Crystallization history, P-T gradient and implications; J. Metamorph. Geol. 22 395–412, https://doi.org/10.1111/j.1525-1314.2004.00522.x.

    Article  Google Scholar 

  • De R and Kayal J R 2004 Seismic activity at the MCT in Sikkim Himalaya; Tectonophysics 386 243–248, https://doi.org/10.1016/j.tecto.2004.06.013.

    Article  Google Scholar 

  • Frankel A 1991 High-frequency spectral falloff of earthquakes, fractal dimension of complex rupture, b value, and the scaling of strength on faults; J. Geophys. Res. Solid Earth 96 6291–6302, https://doi.org/10.1029/91JB00237.

    Article  Google Scholar 

  • Gahalaut V K 2011 M 6.9 September 18, 2011 Sikkim earthquake; Geomatics, Nat. Hazards Risk 2 325–328, https://doi.org/10.1080/19475705.2011.629008.

    Article  Google Scholar 

  • Gansser A 1964 Geology of the Himalaya; London Interscience Publishers.

  • GSI 2000 Seismotectonic Atlas of India and its environs; Geological Survey of India.

  • Hartzell S H 1978 Earthquake aftershocks as Green’s functions; Geophys. Res. Lett. 5 1–4, https://doi.org/10.1029/GL005i001p00001.

    Article  Google Scholar 

  • Hartzell S, Harmsen S, Frankel A and Larsen S 1999 Calculation of broadband time histories of ground motion: Comparison of methods and validation using strong-ground motion from the 1994 Northridge earthquake; Bull. Seismol. Soc. Am. 89(6) 1484–1504.

    Article  Google Scholar 

  • Haskell N A 1964 Total energy and energy spectral density of elastic wave radiation from propagating faults; Bull. Seismol. Soc. Am. 54(6A) 1811–1841.

    Article  Google Scholar 

  • Hazarika P, Kumar M R, Srijayanthi G, Raju P S, Rao N P and Srinagesh D 2010 Transverse tectonics in the Sikkim Himalaya: Evidence from seismicity and focal-mechanism data; Bull. Seismol. Soc. Am. 100 1816–1822, https://doi.org/10.1785/0120090339.

    Article  Google Scholar 

  • Hazarika P, Ravi Kumar M and Kumar D 2013 Attenuation character of seismic waves in Sikkim Himalaya; Geophys. J. Int. 195 544–557, https://doi.org/10.1093/gji/ggt241.

    Article  Google Scholar 

  • Housner G W 1955 Properties of strong ground motion earthquakes; Bull. Seismol. Soc. Am. 45(3) 197–218.

    Article  Google Scholar 

  • Hutchings L 1994 Kinematic earthquake models and synthesized ground motion using empirical Green’s functions; Bull. Seismol. Soc. Am. 84(4) 1028–1050.

    Google Scholar 

  • Irikura K, Kagawa T and Sekiguchi H 1997 Revision of the empirical Green’s function method; Seismol. Soc. Japan 2(1) 1–4.

    Google Scholar 

  • Irikura K 1986 Prediction of strong acceleration motions using empirical Green’s function; In: 7th Japan Earthquake Engineering Symposium, pp. 151–156.

  • Joshi A and Midorikawa S 2004 A simplified method for simulation of strong ground motion using finite rupture model of the earthquake source; J. Seismol. 8 467–484, https://doi.org/10.1007/s10950-004-1595-z.

    Article  Google Scholar 

  • Joshi A, Kumar B, Sinvhal A and Sinvhal H 1999 Generation of Synthetic accelerograms by modeling of rupture plane; ISET J. Earthq. Technol. 36 43–60.

    Google Scholar 

  • Joshi A, Kumari P, Singh S and Sharma M L 2012 Near-field and far-field simulation of accelerograms of Sikkim earthquake of September 18, 2011 using modified semi-empirical approach; Nat. Hazards 64 1029–1054, https://doi.org/10.1007/s11069-012-0281-7.

    Article  Google Scholar 

  • Joyner W B 1984 A scaling law for the spectra of large earthquakes; Bull. Seismol. Soc. Am. 74(4) 1167–1188.

    Google Scholar 

  • Joyner W B and Boore D M 1988 Measurement, characterization and prediction of strong ground motion; In: Proceedings of earthquake engineering and soil dynamics II, Utah, pp. 43–100.

  • Kameda H and Sugito M 1978 Prediction of strong earthquake motions by evolutionary process model; In: 6th Japan earthquake engineering Symposium, pp. 41–48.

  • Kayal J R 2008 Microearthquake Seismology and Seismotectonics of South Asia, Springer Dordrecht, Capital Publishing Company, New Delhi, India, https://doi.org/10.1007/978-1-4020-8180-4.

  • Kumar D and Khattri K 2002 A study of observed peak ground accelerations and predictions of accelerograms of 1999 Chamoli earthquake; Himal. Geol. 23(1&2) 51–61.

    Google Scholar 

  • Kumar D, Khattri K N, Teotia S S and Rai S S 1999 Modelling of accelerograms of two Himalayan earthquakes using a novel semi-empirical method and estimation of accelerogram for a hypothetical great earthquake in the Himalaya; Curr. Sci. 76 819–830.

    Google Scholar 

  • Kumar D, Sarkar I, Sriram V and Khattri K N 2005 Estimation of the source parameters of the Himalaya earthquake of October 19, 1991, average effective shear wave attenuation parameter and local site effects from accelerograms; Tectonophys. 407(1–2) 1–24, https://doi.org/10.1016/j.tecto.2005.06.006.

    Article  Google Scholar 

  • Kumar D, Ram V S and Khattri K N 2006 A study of source parameters, site amplification functions and average effective shear wave quality factor Qseff from analysis of accelerograms of the 1999 Chamoli earthquake, Himalaya; Pure Appl. Geophys. 163 1369–1398, https://doi.org/10.1007/s00024-006-0078-2.

    Article  Google Scholar 

  • Kumar D, Teotia S S and Sriram V 2011 Modelling of strong ground motions from 1991 Uttarkashi, India, earthquake using a hybrid technique; Pure Appl. Geophys. 168 1621–1643, https://doi.org/10.1007/s00024-010-0236-4.

    Article  Google Scholar 

  • Kusham and Kumar D 2019 The 2011 Sikkim earthquake (Mw 6.9) of the Himalaya: Estimates of earthquake source parameters and representability of attenuation characteristics; J. Asian Earth Sci. 169 237–243, https://doi.org/10.1016/j.jseaes.2018.08.013.

    Article  Google Scholar 

  • Mahajan A K, Gupta V and Thakur V C 2012 Macroseismic field observations of 18 September 2011 Sikkim earthquake; Nat. Hazards 63 589–603, https://doi.org/10.1007/s11069-012-0170-0.

    Article  Google Scholar 

  • Mandal P, Chadha R K, Satyamurty C, Raju I P and Kumar N 2005 Estimation of site response in Kachchh, Gujarat, India, region using H/V spectral ratios of aftershocks of the 2001 Mw 7.7 Bhuj earthquake; Pure Appl. Geophys. 162 2479–2504, https://doi.org/10.1007/s00024-005-2784-6.

    Article  Google Scholar 

  • McGuire R K 1978 Seismic ground motion parameter relations; J. Geotech. Eng. Div. 104(4) 481–490.

    Article  Google Scholar 

  • Midorikawa S 1993 Semi-empirical estimation of peak ground acceleration from large earthquakes; Tectonophys. 218 287–295, https://doi.org/10.1016/0040-1951(93)90275-O.

    Article  Google Scholar 

  • Miyake H, Tanaka Y, Sakaue M, Koketsu K and Ishigaki Y 2006 Empirical Green’s function simulation of broadband ground motions on Genkai Island during the 2005 West off Fukuoka Prefecture earthquake; Earth, Planets Space 58 1637–1642, https://doi.org/10.1186/BF03352675.

    Article  Google Scholar 

  • Motazedian D 2006 Region-specific key seismic parameters for earthquakes in northern Iran; Bull. Seismol. Soc. Am. 96 1383–1395, https://doi.org/10.1785/0120050162.

    Article  Google Scholar 

  • Mukhopadhyay S, Pandey Y, Dharmaraju R, Chauhan P K S, Singh P and Dev A 2002 Seismic microzonation of Delhi for ground-shaking site effects; Curr. Sci. 82(7) 877–881.

    Google Scholar 

  • Mundepi A K, Galiana-Merino J J, Kamal and Lindholm C 2010 Soil characteristics and site effect assessment in the city of Delhi (India) using H/V and f–k methods; Soil Dyn Earthq. Eng. 30 591–599, https://doi.org/10.1016/j.soildyn.2010.01.016.

    Article  Google Scholar 

  • Nakamura Y 1989 A method for dynamic characteristics estimations of subsurface using microtremors on the ground surface; Quart. Rep. RTRI 30 25–33.

    Google Scholar 

  • Nath S K, Raj A, Sharma J, Thingbaijam K K S, Kumar A, Nandy D R, Yadav M K, Dasgupta S, Majumdar K, Kayal J R, Shukla A K, Deb S K, Pathak J, Paul D K and Bansal B K 2008 Site amplifications, Qs and source parameterization in Guwahati region from seismic and geotechnical analysis; Seismol. Res. Lett. 79 526–539.

    Article  Google Scholar 

  • Ni J and Barazangi M 1984 Seismotectonics of the Himalayan collision zone: Geometry of the underthrusting Indian Plate beneath the Himalaya; J. Geophys. Res. Solid Earth 89 1147–1163, https://doi.org/10.1029/JB089iB02p01147.

    Article  Google Scholar 

  • Nogoshi M and Igarashi T 1970 On the propagation characteristics of microtremor; Zisin (J. Seismol. Soc. Japan. 2nd ser.) 23 264–280, https://doi.org/10.4294/zisin1948.23.4_264.

  • Olson A H, Orcutt J A and Frazier G A 1984 The discrete wavenumber/finite element method for synthetic seismograms; Geophys. J. Int. 77 421–460, https://doi.org/10.1111/j.1365-246X.1984.tb01942.x.

    Article  Google Scholar 

  • Ou G-B and Herrmann R B 1990 A statistical model for ground motion produced by earthquakes at local and regional distances; Bull. Seismol. Soc. Am. 80(6A) 1397–1417.

    Article  Google Scholar 

  • Pacor F, Cultrera G, Mendez A and Cocco M 2005 Finite fault modeling of strong ground motions using a hybrid deterministic-stochastic approach; Bull. Seismol. Soc. Am. 95 225–240, https://doi.org/10.1785/0120030163.

    Article  Google Scholar 

  • Panza G F and Suhadolc P 1987 Complete strong motion synthetics; In: Seismic Strong Motion Synthetics, pp. 153–204.

  • Porsani M J, Stoffa P L, Sen M K, Chunduru R K and Wood W T 1993 A combined genetic and linear inversion algorithm for seismic waveform inversion; In: Society of Exploration Geophysicists, 63rd Annual International Meeting and Exposition, Washington DC, pp. 692–695.

  • Ram V S, Kumar D and Khattri K N 2005 The 1986 Dharamsala earthquake of Himachal Himalaya – Estimates of source parameters, average intrinsic attenuation and site amplification functions; J. Seismol. 9 473–485, https://doi.org/10.1007/s10950-005-1418-x.

    Article  Google Scholar 

  • Ravi Kumar M, Hazarika P, Srihari Prasad G, Singh A and Saha S 2012 Tectonic implications of the September 2011 Sikkim earthquake and its aftershocks; Curr. Sci. 102(5) 788–791.

    Google Scholar 

  • Rovelli A, Cocco M, Console R, Alessandrini B and Mazza S 1991 Ground motion waveforms and source spectral scaling from close-distance accelerograms in a compressional regime area (Friuli, Northeastern Italy); Bull. Seismol. Soc. Am. 81(1) 57–80.

    Google Scholar 

  • Sandhu M, Kumar D and Teotia S S 2017 Estimation of site amplification functions for the National Capital (Delhi) Region, India; Nat. Hazards 85 171–195, https://doi.org/10.1007/s11069-016-2572-x.

    Article  Google Scholar 

  • Schneider J F, Silva W J and Stark C L 1993 Ground motion model for the 1989 M 6.9 Loma Prieta earthquake including effects of source, path, and site; Earthq. Spectra 9 251–287.

    Article  Google Scholar 

  • Sen M K and Stoffa P L 1995 Global optimization methods in geophysical inversion; Elsevier.

    Google Scholar 

  • Sharma B, Chopra S, Sutar A K and Bansal B K 2013 Estimation of strong ground motion from a great earthquake Mw 8.5 in Central Seismic Gap Region, Himalaya (India) using empirical Green’s function technique; Pure Appl. Geophys. 170 2127–2138, https://doi.org/10.1007/s00024-013-0647-0.

    Article  Google Scholar 

  • Sharma A, Kumar D and Paul A 2020 Estimation of site response functions for the Kumaun-Garhwal region of Himalaya, India; J. Seismol., https://doi.org/10.1007/s10950-020-09920-9.

    Article  Google Scholar 

  • Siddiqqi J and Atkinson G M 2002 Ground-motion amplification at rock sites across Canada as determined from the horizontal-to-vertical component ratio; Bull. Seismol. Soc. Am. 92 877–884, https://doi.org/10.1785/0120010155.

    Article  Google Scholar 

  • Silva W J, Wong I G and Darragh R B 1991 Engineering characterization of earthquake strong Ground motions with applications to the Pacific Northwest; https://doi.org/10.3133/ofr91441H.

  • Sokolov V Y 1997 Empirical models for estimating Fourier-amplitude spectra of ground acceleration in the northern Caucasus (Racha seismogenic zone); Bull. Seismol. Soc. Am. 87(6) 1401–1412.

    Article  Google Scholar 

  • Spudich P and Archuleta R J 1987 Techniques for earthquake ground-motion calculation with applications to source parameterization of finite faults; In: Seismic Strong Motion Synthetics, pp. 205–265.

  • Spudich P and Frazer L N 1984 Use of ray theory to calculate high-frequency radiation from earthquake sources having spatially variable rupture velocity and stress drop; Bull. Seismol. Soc. Am. 74(6) 2061–2082.

    Article  Google Scholar 

  • Sriram V and Khattri K N 1999 Modelling of strong ground motions from Dharamsala earthquake of 1986 (mb 5.7); Curr. Sci. 76 429–438.

    Google Scholar 

  • Su F, Zeng Y and Anderson J G 1994 Simulation of Landers earthquake strong ground motion using a composite source model; Seismol. Res. Lett. 65 52.

    Google Scholar 

  • Suhadolc P and Chiaruttini C 1987 A theoretical study of the dependence of the peak ground acceleration on source and structure parameters; In: Strong ground motion Seismol., pp. 143–183, https://doi.org/10.1007/978-94-017-3095-2_6.

  • Suzuki Y, Koyamada K, Tokimatsu K, Taya Y and Kubota Y 1995 Empirical correlation of soil liquefaction based on cone penetration test; In: 1st Int. Conf. Geotechnical Engineering (ed.) Ishihara K, A. A. Balkema, Rotterdam, The Netherlands, pp. 369–374.

  • Toro G R and McGuire R K 1987 An investigation into earthquake ground motion characteristics in eastern North America; Bull. Seismol. Soc. Am. 77(2) 468–489.

    Google Scholar 

  • Toro G R, Abrahamson N A and Schneider J F 1997 Model of strong ground motions from earthquakes in Central and Eastern North America: Best estimates and uncertainties; Seismol. Res. Lett. 68 41–57, https://doi.org/10.1785/gssrl.68.1.41.

    Article  Google Scholar 

  • Wells D L and Coppersmith K J 1994 New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement; Bull. Seismol. Soc. Am. 84(4) 974–1002.

    Google Scholar 

  • Yadav R, Kumar D and Chopra S 2018 The high frequency decay parameter κ (Kappa) in the region of North East India; Open J. Earthq. Res. 07 141–159, https://doi.org/10.4236/ojer.2018.72009.

    Article  Google Scholar 

  • Yu G, Khattri K N, Anderson J G, Brune J N and Zeng Y 1995 Strong ground motion from the Uttarkashi, Himalaya, India, earthquake: Comparison of observations with synthetics using the composite source model; Bull. Seismol. Soc. Am. 85(1) 31–50.

    Article  Google Scholar 

  • Yu G 1994 Some aspects of earthquake seismology: Slip partitioning along major convergent boundaries; composite source model for estimation of strong ground motion and nonlinear soil response modelling, Ph.D. Thesis.

  • Zare M, Bard P Y and Ghafory-Ashtiany M 1999 Site characterizations for the Iranian strong motion network; Soil Dyn. Earthq. Eng. 18 101–123, https://doi.org/10.1016/S0267-7261(98)00040-2.

    Article  Google Scholar 

  • Zeng Y, Anderson J G and Yu G 1994 A composite source model for computing realistic synthetic strong ground motions; Geophys. Res. Lett. 21(8) 725–728.

    Article  Google Scholar 

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Acknowledgements

The authors are thankful to Kurukshetra University for its support. The authors are grateful to two anonymous reviewers and the editor for their constructive comments, which have helped the authors to improve the manuscript significantly.

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Renu Yadav (RY) and Dinesh Kumar (DK) conceived the presented idea. RY developed the theory and performed the computations. She has modified the FORTRAN programs developed by DK. DK verified the analytical methods and encouraged RY to investigate the modelling of the accelerograms of the 2011 Sikkim earthquake and supervised the findings of this work. Both authors discussed the results and contributed to the final manuscript.

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Correspondence to Renu Yadav.

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Communicated by Anand Joshi

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Yadav, R., Kumar, D. Modelling of empirical accelerograms of 2011 Sikkim earthquake (Mw 6.9) using the modified hybrid technique. J Earth Syst Sci 132, 80 (2023). https://doi.org/10.1007/s12040-023-02094-1

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