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Regional variability in ground motion amplitude in Western Himalaya

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Abstract

Evaluating the variability components of ground motion models and their reduction is important for site-specific hazard assessment. We compared the observed and median-predicted ground motions resulting from recent ground motion prediction equations (GMPEs) in the Western Himalayan region to evaluate the performance of ground motion models (GMMs) in a non-ergodic framework. We study two methods to compute the residuals obtained from the observed and predicted ground motions; they are a pooled ordinary least-squares model and a mixed-effects regression model. Comparison of results from both the models shows that the former is more accurate than the latter for describing ground motion residuals and their variability. We analyzed total residuals and their components such as the between-event and within-event residuals for peak ground acceleration (PGA) to investigate the impact of source, path, and site effects on the GMM variability. The total residuals for the GMPE by Ramakrishnan et al. (J Earthquake Eng. https://doi.org/10.1080/13632469.2019.1605318, 2019) are scattered around zero for a wider magnitude and distance range. Their distance-dependence varies with magnitude; they exhibit a scatter around zero for Mw = 6–6.9 in the analyzed distance range 0–1200 km. Between-event residuals do not show clear magnitude dependence; their scatter at larger distances is reduced due to scattering from medium heterogeneities. The within-event residuals show a trend with distance. The standard deviation associated with distribution of within-event residuals is slightly more than that for the between-event residuals, meaning the dominance of within-event variability in the model parameters. The features such as complexity in site effect, alongside regional differences in shear wave speed structure and near-surface attenuation, are not completely captured by the reference GMPE, which needs further investigation with redundant measurements of source, propagation (path), or site effects for site-specific hazard assessments of the region in a fully non-ergodic framework.

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Data availability

The earthquake ground motion data used in this article obtained from the Program for Excellence in Strong Motion Studies (PESMOS) (http://www.pesmos.in/, last accessed March 2015) and the Consortium of Organizations for Strong-Motion Observation Systems (COSMOS) (http://strongmotioncenter.org/vdc) installed by the Department of Earthquake Engineering, Indian Institute of Technology, Roorkee (IITR). Some of the events are recorded by the recently installed digital network of strong-motion accelerographs (SMAs) operated by the CSIR-National Geophysical Research Institute (NGRI), Hyderabad.

References

  • Abrahamson NA, Hollenback JC (2012) Application of single-site sigma ground motion prediction equations in practice. Proceedings, 15th World Conference on Earthquake Engineering Paper No. 2536, Lisbon, Portugal.

  • Abrahamson N, Youngs R (1992) A stable algorithm for regression analyses using the random effects model. Bull Seismol Soc Am 82(1):505–510

    Article  Google Scholar 

  • Al Atik L, Abrahamson N, Bommer JJ, Scherbaum F, Cotton F, Kuehn N (2010) The variability of ground-motion prediction models and its components. Seismol Res Lett 81 (5) https://doi.org/10.1785/gssrl.81.5.794

  • Ambraseys NN, Douglas J, Sarma SK, Smit PM (2005) Equations for the estimation of strong ground motions from shallow crustal earthquakes using data from Europe and the Middle East: Horizontal peak ground acceleration and spectral acceleration. Bull Earthq Eng 3(1):1–53

    Article  Google Scholar 

  • Anbazhagan P, Kumar A, Sitharam TG (2013) Ground motion prediction equation considering combined dataset of recorded and simulated ground motions. Soil Dyn Earthq Eng 53:92–108

    Article  Google Scholar 

  • Anbazhagan P, Srilakshmi KN, Bajaj K, Sayed SR, Moustafa NSN, Al-Arifi (2019) Determination of seismic site classification of seismic recording stations in the Himalayan region using HVSR method. Soil Dyn Earthq Eng 116:304–316

    Article  Google Scholar 

  • Anderson JG, Brune JN (1999) Probabilistic seismic hazard assessment without the ergodic assumption. Seismol Res Lett 70:19–28

    Article  Google Scholar 

  • Atkinson GM (2006) Single-Station Sigma. Bull Seismol Soc Am 96(2):446–455

    Article  Google Scholar 

  • Bajaj K, Anbazhagan P (2018) Determination of GMPE functional form for an active region with limited strong motion data: application to the Himalayan region. J Seismol. https://doi.org/10.1007/s10950-017-9698-5

  • Bajaj KP, Anbazhagan P (2019) Regional stochastic GMPE with available recorded data for active region–Application to the Himalayan region. Soil Dyn Earthq Eng 126:105825

  • Baltay AS, Hanks TC, Abrahamson N (2017) Uncertainty, variability, and earthquake physics in ground-motion prediction equations. Bull Seismol Soc Am 107(4):1754–1772

    Google Scholar 

  • Bates D, Mächler M, Bolker B, Walker S (2015) Fitting linear mixed-effects models using lme4. J Statistical Software 67(1):1–48

    Article  Google Scholar 

  • BIS (2002) Criteria for earthquake resistant design of structures, part I—general provisions and buildings. Bureau of Indian Standards

  • Bommer JJ, Stafford PJ, Alarcón JE, Akkar S (2007) The influence of magnitude range on empirical ground-motion prediction. Bull Seismol Soc Am 97(6):2152–2170

    Article  Google Scholar 

  • Boore DM, Atkinson GM (2008) Ground-motion prediction equations for the average horizontal component of PGA, PGV, and 5%-damped PSA at spectral periods between 001 s and 100 s. Earthq Spectra 24(1):99–138

    Article  Google Scholar 

  • Boore DM, Joyner WB, Fumal TE (1997) 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

    Article  Google Scholar 

  • Greene W (2012) Econometric Analysis, 7th edn. Pearson Education Inc, Saddle River, New Jersey

    Google Scholar 

  • Hanks TC (1979) b values and ω−γ seismic source models: Implications for tectonic stress variations along active crustal fault zones and the estimation of high-frequency strong ground motion. J Geophys Res 84(B5):2235–2242

    Article  Google Scholar 

  • Harbindu A, Gupta S, Sharma ML (2014) Earthquake ground motion predictive equations for Garhwal Himalaya, India. Soil Dyn Earthq Eng 66:135–148

    Article  Google Scholar 

  • Harinarayan NH, Kumar A (2018) Determination of NEHRP site class of seismic recording stations in the Northwest Himalayas and its adjoining area using HVSR method. Pure Appl Geophys 175(1):89–107

    Article  Google Scholar 

  • Hough SE, Page M (2015) A century of induced earthquakes in Oklahoma? Bull Seismol Soc Am 105(6):2863–2870. https://doi.org/10.1785/0120150109

    Article  Google Scholar 

  • Joshi A, Kumar A, Castanos H, Lomnitz C (2013) Seismic Hazard of the Uttarakhand Himalaya, India, from Deterministic Modeling of Possible Rupture Planes in the Area. Hindawi Publishing Corporation International Journal of Geophysics 825276:12. https://doi.org/10.1155/2013/825276

    Article  Google Scholar 

  • Kotha SR, Bindi D, Cotton F (2016) Partially non-ergodic region-specific GMPE for Europe and Middle-East. Bull Earthq Eng 14(4):1245–1263

    Article  Google Scholar 

  • Kotha SR, Bindi D, Cotton F (2017) Site-corrected magnitude and region dependent correlations of horizontal peak spectral amplitudes. Earthq Spectra 33(4):1415–1432

    Article  Google Scholar 

  • Kotha SR, Cotton F, Bindi D (2018) A new approach to site classification: mixed-effects ground-motion prediction equation with spectral clustering of site amplification functions. Soil Dyn Earthq Eng. https://doi.org/10.1016/j.soildyn.2018.01.051

    Article  Google Scholar 

  • Kotha SR, Cotton F, Bindi D (2019) Empirical models of shear-wave radiation pattern derived from large datasets of ground-shaking observations. Sci Rep 9:981. https://doi.org/10.1038/s41598-018-37524

    Article  Google Scholar 

  • Ktenidou OJ, Cotton F, Abrahamson N, Anderson JG (2013) Taxonomy of κ: a review of definitions and estimation approaches targeted to applications. Seismol Res Lett 85:135–146. https://doi.org/10.1785/0220130027

    Article  Google Scholar 

  • Kuehn NM, Scherbaum F (2016) A partially non-ergodic ground motion prediction equation for Europe and the Middle East. Bull Earthq Eng 14(10):2629–2642. https://doi.org/10.1007/s10518-016-9911-x

    Article  Google Scholar 

  • Kumar A, Mittal H, Sachdeva R, Kumar A (2012) Indian strong motion instrumentation network. Seismol Res Lett 83(1):59–66. https://doi.org/10.1785/gssrl.83.1.59

    Article  Google Scholar 

  • Kumar A, Mittal H, Kumar R, Ahluwalia RS (2017) Empirical attenuation relationship for peak ground horizontal acceleration for North-East Himalaya. Vietnam J Earth Sci 39(1):47–57. https://doi.org/10.15625/0866-7187/39/1/9183

    Article  Google Scholar 

  • Kumar P, Chamoli BP, Ashok Kumar A (2019) Gairola A (2019) Attenuation relationship for peak horizontal acceleration of strong ground Motion of Uttarakhand region of Central Himalayas. J Earthq Eng. https://doi.org/10.1080/13632469.2019.1634161

    Article  Google Scholar 

  • Mittal H, Kamal KA, Singh SK (2013) Estimation of site effects in Delhi using standard spectral ratio. Soil Dyn Earthq Eng 50:53–61. https://doi.org/10.1016/j.soildyn.2013.03.004

    Article  Google Scholar 

  • NDMA (2010) Development of probabilistic seismic hazard map of India. Technical report by National Disaster Management Authority, Government of India. (available online at www.ndma.gov.in/images/pdf/Indiapshafinalreport.pdf)

  • Petersen MD, Mueller CS, Moschetti MP, Hoover SM, Llenos AL, Ellsworth WL, Michael AJ, Rubinstein JL, McGarr AF, Rukstales KS (2016) one-year seismic hazard forecast for the central and eastern United States from induced and natural earthquakes. US. Geol Surv Open File Rep 1035:52. https://doi.org/10.3133/ofr20161035

    Article  Google Scholar 

  • Petersen MD et al (2017) one-year seismic hazard forecast for the central and eastern United States from induced and natural earthquakes. USGS. https://doi.org/10.5066/F7RV0KWR

    Article  Google Scholar 

  • Pinheiro JC, Bates DM (2000) Mixed-Effects Models in S and S-PLUS. Springer, New York

    Book  Google Scholar 

  • R Development Core Team (2010) R: A language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing. Retrieved from http://www.R-project.org

  • Ramakrishnan R, Sreevalsa K, Sitharam TG (2019) Development of new ground motion prediction equation for the North and Central Himalayas using recorded strong motion data. J Earthquake Eng. https://doi.org/10.1080/13632469.2019.1605318

  • Rodriguez-Marek A, Montalva GA, Cotton F, Bonilla F (2011) Analysis of single-station standard deviation using the KiK-net data. Bull Seismol Soc Am 101(3):1242–1258

    Article  Google Scholar 

  • Rodriguez-Marek A, Cotton F, Abrahamson NA, Akkar S, Al Atik L, Edwards B, Montalva GA, Dawood HM (2013) A model for single-site standard deviation using data from various tectonic regions. Bull Seismol Soc Am 103:3149–3163

    Article  Google Scholar 

  • Sadigh K, Chang CY, Egan J, Makdisi F, Youngs R (1997) Attenuation relationships for shallow crustal earthquakes based on California strong motion data. Seismol Res Lett 68(1):180–189

    Article  Google Scholar 

  • Sahakian VJ, Baltay A, Hanks TC, Buehler JS, Vernon FL, Kilb D (2018) Decomposing leftovers: Event, path, and site residuals for a small magnitude ANZA region GMPE. Bull Seismol Soc Am 108(5A):2478–2492. https://doi.org/10.1785/0120170376

    Article  Google Scholar 

  • Scordilis EM (2006) Empirical global relations converting MS and mb to moment magnitude. J Seismol 10:225–236

    Article  Google Scholar 

  • SEISAT (2000) “Seismotectonic Atlas of India.” Geological Survey of India. New Delhi

  • Sharma ML (1998) Attenuation relationship for estimation of peak ground horizontal acceleration using data from strong-motion arrays in India. Bull Seismol Soc Am 88:1063–1069

    Article  Google Scholar 

  • Sharma ML, Bungum H (2006) New strong ground-motion spectral acceleration relations for the Himalayan region. Proc. of the first European conference on earthquake engineering and seismology (ECEES) 8, Geneva, Switzerland, 3–8 September

  • Sharma M, Douglas J, Bungum H, Kotadia J (2009) Ground-motion prediction equations based on data from the Himalayan and Zagros regions. J Earth Eng 13:1191–1210. https://doi.org/10.1080/13632460902859151

    Article  Google Scholar 

  • Singh RP, Aman A, Prasad YJJ (1996) Attenuation relations for strong seismic ground motion in the Himalayan region. Pure Appl Geophy PAGEOPH 147:161–180. https://doi.org/10.1007/BF00876442

    Article  Google Scholar 

  • Stafford PJ (2014) Crossed and Nested Mixed-Effects Approaches for Enhanced Model Development and Removal of the Ergodic Assumption in Empirical Ground-Motion Models. Bull Seismol Soc Am 104(2):702–719

    Article  Google Scholar 

  • Youngs RR, Abrahamson NA, Makdisi FI, Sadigh K (1995) Magnitude-dependent standard error of peak ground acceleration. Bull Seismol Soc Am 85(4):1116–1176

    Article  Google Scholar 

  • Zhao JX, Zhou S, Zhou J, Zhao C, Zhang H, Zhang Y, Gao P, Lan X, Rhoades D, Fukushima Y, Somerville PG, Irikura K (2016) Ground-motion prediction equations for shallow crustal and upper-mantle earthquakes in Japan using site class and simple geometric attenuation functions. Bull Seismol Soc Am 106(4):1552–1569

    Article  Google Scholar 

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Acknowledgements

We are thankful to the Director, CSIR-NGRI, for granting permission to publish this research. The authors acknowledge the PESMOS for recorded ground motion data analyzed here. The CSIR-NGRI reference number of the manuscript is Ref. No. NGRI/Lib/2022/Pub-4.

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Nampally Subhadra: planned, performed the computational framework, analyzed data, and writing of the manuscript. Simanchal Padhy: investigation, writing—review and editing. Davuluri Srinagesh: project administration, suggested necessary inputs in the manuscript.

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Correspondence to N. Subhadra.

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The authors received the grant from the project MLP-FBR-0005(MRK) of NGRI funded by Council of Scientific Industrial Research (CSIR) of India.

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Subhadra, N., Padhy, S. & Srinagesh, D. Regional variability in ground motion amplitude in Western Himalaya. J Seismol 27, 455–471 (2023). https://doi.org/10.1007/s10950-023-10144-w

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