Skip to main content
Log in

Stochastic finite fault modelling of M w 4.8 earthquake in Kachchh, Gujarat, India

  • Original Article
  • Published:
Journal of Seismology Aims and scope Submit manuscript

Abstract

The modified stochastic finite fault modelling technique based on dynamic corner frequency has been used to simulate the strong ground motions of M w 4.8 earthquake in the Kachchh region of Gujarat, India. The accelerograms have been simulated for 14 strong motion accelerographs sites (11 sites in Kachchh and three sites in Saurashtra) where the earthquake has been recorded. The region-specific source, attenuation and generic site parameters, which are derived from recordings of small to moderate earthquakes, have been used for the simulations. The main characteristics of the simulated accelerograms, comprised of peak ground acceleration (pga), duration, Fourier and response spectra, predominant period, are in general in good agreement with those of observed ones at most of the sites. The rate of decay of simulated pga values with distance is found to be similar with that of observed values. The successful modelling of the empirical accelerograms indicates that the method can be used to prepare wide range of scenarios based on simulation which provide the information useful for evaluating and mitigating the seismic hazard in the region.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

References

  • Aki K (1967) Scaling law of seismic spectrum. J Geophys Res 72:1217–1231

    Article  Google Scholar 

  • Anderson J, Hough S (1984) A model for the shape of the Fourier amplitude spectrum of acceleration at high frequencies. Bull Seismol Soc Am 74:1969–1993

    Google Scholar 

  • Atkinson GM, Boore DM (1995) Ground motion relations for eastern North America. Bull Seismol Soc Am 85:17–30

    Google Scholar 

  • Bendick R, Bilham R, Fielding E, Gaur VK, Hough SE, Kier G, Kulkarni MN, Martin S, Mukul M (2001) The 26 January 2001 “Republic Day” earthquake, India. Seismol Res Lett 72:328–335

    Article  Google Scholar 

  • Beresnev IA, Atkinson GM (1997) Modelling finite fault radiation from the ωn spectrum. Bull Seismol Soc Am 87:67–84

    Google Scholar 

  • Beresnev IA, Atkinson GM (1998) FINSIM: a FORTRAN program for simulating stochastic acceleration time histories from finite faults. Seismol Res Lett 69:27–32

    Article  Google Scholar 

  • Beresnev IA, Nightengale AM, Walter J, Silva WJ (2002) Properties of vertical ground motions. Bull Seismol Soc Am 92:3152–3164

    Article  Google Scholar 

  • BIS (2002) Criteria for earthquake resistant design of structures, IS 1893(part 1). Bureau of Indian Standards, New Delhi

    Google Scholar 

  • Biswas SK (1987) Regional tectonic framework, structure and evolution of the western marginal basins of India. Tectonophysics 135:307–327

    Article  Google Scholar 

  • Biswas SK (2005) A review of structure and tectonics of Kutch basin, western India, with special reference to earthquake. Curr Sci 88:1592–1600

    Google Scholar 

  • Bodin P, Malagnini L, Akinci A (2004) Ground-motion scaling in the Kachchh Basin, India, Deduced from aftershocks of the 2001 Mw 7.6 Bhuj earthquake. Bull Seismol Soc Am 94:1658–1669

    Article  Google Scholar 

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

    Google Scholar 

  • Boore DM (2003) Simulation of ground motion using stochastic method. Pure Appl Geophy 160:635–676

    Article  Google Scholar 

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

    Google Scholar 

  • Borcherdt RD (1970) Effects of local geology on ground motion near San Francisco Bay. Bull Seismol Soc Am 60:29–61

    Google Scholar 

  • Brune JN (1970) Tectonic stress and the spectra of seismic shear waves from earthquakes. J Geophys Res 75:4997–5009

    Article  Google Scholar 

  • Brune JN (1971) Seismic sources, fault plane studies and tectonics. Eos 52:178–187

    Article  Google Scholar 

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

    Google Scholar 

  • Chavez-Garcia FJ, Sanchez LR, Hatzfield D (1996) Topographic site effects and HVSR: a comparison between observations and theory. Bull Seismol Soc Am 86:1559–1573

    Google Scholar 

  • Chopra, Sumer, Yadav RBS, Patel, Hardik, Kumar, Santosh, Rao KM, Rastogi BK, Hameed, Abdul, Srivastava, Sanjay (2008) The Gujarat (India) seismic network. Seism Res Lett 79:799–808

    Article  Google Scholar 

  • Chopra, Sumer, Dinesh, Kumar, Rastogi BK (2010) Estimation of strong ground motions for 2001 Bhuj (MW 7.6), India earthquake. Pure App Geophy. doi:10.1007/s00024-010-0132-y

  • Dan K, Watanabe T, Tanaka T (1990) Estimation of strong ground motion in epicentral region of the 1976 Tangshan, China, earthquake (Ms 7.8) by semi-empirical method. J Struct Construct Eng 407:23–33

    Google Scholar 

  • Field EH, Jacob KH (1995) A comparison and test of various site-response estimation techniques, including three that are not reference-site dependent. Bull Seismol Soc Am 85:1127–1143

    Google Scholar 

  • Gupta HK, Harinarayana T, Kousalya M, Mishra DC, Mohan, Purnachandra Rao N, Raju PS, Rastogi BK, Reddy PR, Sarkar D (2001) Bhuj earthquake of 26 January 2001. J Geol Soc India 57:275–278

    Google Scholar 

  • Hanks TC (1982) fmax. Bull Seismol Soc Am 72:1867–1879

    Google Scholar 

  • Hanks TC, McGuire RK (1981) The character of high frequency strong ground motion. Bull Seismol Soc Am 71:2071–2095

    Google Scholar 

  • Hartzell S (1978) Earthquake aftershock as Green’s functions. Geophys Res Lett 5:1–4

    Article  Google Scholar 

  • Hutchings L, Wu F (1990) Empirical Green’s functions from small earthquakes: a waveform study of locally recorded aftershocks of the 1971 San Fernando earthquake. J Geophy Res 95:1187–1214

    Article  Google Scholar 

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

  • Irikura K, Kamae K (1994) Estimation of strong ground motion in broad-frequency band based on a seismic source scaling model and an empirical Green’s function technique. Annalidi Geopfisica XXXVII:1721–1743

    Google Scholar 

  • Johnston AC (1994) Seismotectonic interpretations and conclusions from the stable continental regions. The earthquakes of stable continental regions: assessment of large earthquake potential. Report TR 10261 ch.3. Electric Power & Research Institute, Palo Alto

    Google Scholar 

  • Joshi A, Kumar B, Sinvhal A, Sinvhal H (1999) Generation of synthetic accelerograms by modelling of rupture plane. ISET J Earthq Technol 36:43–60

    Google Scholar 

  • Joyner WB, Boore DM (1986) On simulating large earthquakes by Green’s-function addition of smaller earthquakes. Earthq Source Mech, AGU Monogr 37:269–274

    Article  Google Scholar 

  • Khattri KN, Yu G, Anderson JG, Brune JN, Zeng Y (1994) Seismic hazard estimation using modelling of earthquake strong ground motions: a brief analysis of 1991 Uttarkashi earthquake, Himalaya and prognostication for a earthquake in the region. Curr Sci 67:343–353

    Google Scholar 

  • Kumar D, Khattri KN, Teotia SS, Rai SS (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 

  • Lermo J, Garcia JC (1993) Site effect evaluation using spectral ratios with only one station. Bull Seismol Soc Am 83:1574–1594

    Google Scholar 

  • Lermo J, Garcia JC (1994) Are microtremors useful in site response evaluation? Bull Seismol Soc Am 84:1350–1364

    Google Scholar 

  • Loukachev I, Pralle N, Gudehus G (2002) Dilatancy-induced P waves as evidence for nonlinear soil behavior. Bull Seismol Soc Am 92:854–862

    Article  Google Scholar 

  • Mandal P (2009) Estimation of static stress changes after the 2001 Bhuj earthquake: implications towards the northward spatial migration of seismic activity in Kachchh, Gujarat. J Geol Soc Ind 74:487–497

    Article  Google Scholar 

  • Mandal P, Johnston A (2006) Estimation of source parameters for the aftershocks of the 2001 Mw 7.7 Bhuj earthquake, India. Pure Appl Geophys 163:1537–1560

    Article  Google Scholar 

  • Mandal P, Chadha RK, Satyamurthy C, Raju IP, 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 Geophy 162:2479–2504

    Article  Google Scholar 

  • Motazedian D (2006) Region specific key seismic parameters for earthquakes in northern Iran. Bull Seismol Soc Am 96:1383–1395

    Article  Google Scholar 

  • Motazedian D, Atkinson GM (2005a) Stochastic finite-fault modeling based on dynamic corner frequency. Bull Seismol Soc Am 95:995–1010

    Article  Google Scholar 

  • Motazedian D, Atkinson GM (2005b) Ground-motion relations for Puerto Rico. Geol Soc Am 385:61–80, special paper

    Google Scholar 

  • Motazedian D, Moinfar A (2006) Hybrid stochastic finite fault modelling of 2003, M6.5 Bam earthquake (Iran). J Seismol 10:91–103

    Article  Google Scholar 

  • Nakamura Y (1989) A method for dynamic characteristics estimation of subsurface using micro-tremor on the ground surface. QR of RTRI 30:25–33

    Google Scholar 

  • Nath SK, Raj A, Sharma J, Thingbaijam KKS, Kumar A, Nandy DR, Yadav MK, Dasgupta S, Majumdar K, Kayal JR, Shukla AK, Deb SK, Pathak J, Hazarika PJ, Paul DK, Bansal BK (2008) Site amplification, Qs and source parametrization in Guwahati region from seismic and geotechnical analysis. Seism Res Lett 79:526–539

    Article  Google Scholar 

  • Ou GB, Herrmann RB (1990) A statistical model for ground motion produced by earthquakes at local and regional distances. Bull Seismol Soc Am 80:1397–1417

    Google Scholar 

  • Raghukanth STG, Sreelatha S, Dash, Sujit Kumar (2008) Ground motion estimation at Guwahati city for an Mw 8.1 earthquake in the Shillong plateau. Tectonophysics 448:98–114

    Article  Google Scholar 

  • Rajendran CP, Rajendran K (2001) Character of deformation and past seismicity associated with the 1819 Kachchh earthquake, northwestern India. Bull Seismol Soc Am 91(3):407–426

    Article  Google Scholar 

  • Riepl J, Bard P-Y, Hatzfeld D, Papaioannou C, Nechtschein S (1998) Detailed evaluation of site-response estimation methods across and along the sedimentary valley of Volvi (EURO-SEISTEST). Bull Seismol Soc Am 88:448–502

    Google Scholar 

  • Seekins LC, Wennerberg L, Margheriti L, Liu HP (1996) Site amplifications at five locations in San Francisco, California: a comparison of S-waves, codas, and microtremors. Bull Seismol Soc Am 86:627–635

    Google Scholar 

  • Silva W, Darragh RB (1995) Engineering characterization of strong ground motion recorded at rock sites. Report No. TR-102262. Electric Power Research Institute, Palo Alto

    Google Scholar 

  • Sokolov VY, Loh C-H, Jean W-Y (2007) Application of horizontal-to-vertical (H/V) Fourier spectral ratio for analysis of site effect on rock (NEHRP-class B) sites in Taiwan. Soil Dynan Earthq Engg 27:314–323

    Article  Google Scholar 

  • Takahashi K, Ohno S, Takemura M, Ohta T, Sugawara Y, Hatori T, Omote S (1992) Observation of earthquake strong-motion with deep borehole: generation of vertical motion propagating in surface layers after S wave arrival. In: Proc. 10th World Conf. Earthquake Eng., Balkema, Rotterdam, Netherlands, pp 1245–1250

  • Talwani P, Gangopadhyay A (2001) Tectonic framework of the Kachchh earthquake of 26 January 2001. Seism Res Lett 72:336–345

    Article  Google Scholar 

  • Tohdo M, Hatori T, Chiba O, Takahashi K, Takemura M, Tanaka H (1995) Characteristics of vertical seismic motions and Qp-values in sedimentary layers. J Struct Constr Eng Trans Architectural Inst Japan 475:45–54 (in Japanese with English abstract)

    Google Scholar 

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

    Google Scholar 

  • Wells DL, Coppersmith KJ (1994) New empirical relationships among magnitude, rupture length, rupture width, rupture area, and surface displacement. Bull Seismol Soc Am 84:974–1002

    Google Scholar 

  • Yadav RBS, Tripathi JN, Rastogi BK, Chopra, Sumer (2008) Probabilistic assessment of earthquake hazard in Gujarat and adjoining regions of India. Pure Appl Geophy 165:1813–1833

    Article  Google Scholar 

  • Yu G, Khattri KN, Anderson JG, Brune JN, Zeng Y (1995) Strong ground motion from Uttarkashi, Himalaya, India, earthquake: comparison of observations with synthetics using the composite source model. Bull Seismol Soc Am 85:31–50

    Google Scholar 

  • Zare M, Bard PY, Ghafory, Ashtiany M (1999) Site categorization for Iranian strong motion network. Soil Dyn Earthq Engg 18:101–123

    Article  Google Scholar 

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

    Article  Google Scholar 

Download references

Acknowledgements

The authors wish to thank Dr. B.K. Rastogi, Director General, Institute of Seismological Research for kind permission to publish this work. Thanks are due to Prof. Dariush Motazedian for providing EXSIM code. DK is grateful to Kurukshetra University Kurukshetra for support. The work was supported by GSDMA, Government of Gujarat and MoES, Government of India. The authors are grateful to the reviewer and editor in chief for their constructive comments which help to improve the manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Sumer Chopra.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Chopra, S., Kumar, D., Choudhury, P. et al. Stochastic finite fault modelling of M w 4.8 earthquake in Kachchh, Gujarat, India. J Seismol 16, 435–449 (2012). https://doi.org/10.1007/s10950-012-9280-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10950-012-9280-0

Keywords

Navigation