Abstract
Empirical methods are commonly employed to predict the PGA distribution of an earthquake and are widely used. However, current empirical methods assume the seismic source to be a point source, a line source, or a plane source, where the energy is concentrated and released uniformly. An empirical attenuation model of the near-field peak ground acceleration (PGA) was proposed that considers a nonuniform spatial distribution of seismic fault energy and its 3D scale. Then, this model was used to reconstruct the PGA distribution of the 2008 Wenchuan, China, Mw7.9 earthquake based on the data of a seismic fault model and ground acceleration records of the mainshock and aftershocks collected by seismic stations. The predicted PGA values show similar attenuation characteristics to the interpolated map of the PGA recorded by seismic stations. A comparison with the results of a finite-fault model developed by the USGS indicates that the proposed model can provide more details and give a more precise result in the near field. The analysis of landslides triggered by the Wenchuan earthquake demonstrates that the PGA distribution estimated by this model can be used to validate the findings of other researchers.
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There are four types of data used in this paper. They are ground acceleration of aftershocks and mainshock of the Wenchuan earthquake, landslide inventory triggered by the Wenchuan earthquake, PGA map published by USGS and a fault model of the Wenchuan earthquake. Ground acceleration data of aftershocks and mainshock of the Wenchuan earthquake were collected by the China Strong Motion Network Centre of China and cannot be released to the public. These data can be reached by linking https://www.iem.net.cn (last accessed September 6, 2019) after permission from the Institute of Engineering Mechanics, China Earthquake Administration. This landslide inventory includes a landslide area of 1150.8 km2 and a landslide number of 196,007 (Xu et al. 2016). It is a result of the joint efforts of many institutions and people. This inventory can be obtained by contacting the author directly. The estimated PGA distribution can be obtained from the website by linking https://earthquake.usgs.gov/earthquakes/eventpage/usp000g650/executive, (last accessed December 14, 2019). The fault model of the Wenchuan earthquake was published by Shen et al. (2009). These data can be obtained from the supplementation of that article (https://www.nature.com/articles/ngeo636, last accessed September 4, 2019).
References
Abrahamson N, Silva WJ (1997) Empirical response spectral attenuation relations for shallow crustal earthquakes. Seismol Res Lett 68:94–127
Beresnev IA, Atkinson GM (1999) Generic finite-fault model for ground-motion prediction in eastern North America. Bull Seismol Soc Am 89:608–625
Boore DM (2001) Effect of baseline corrections on displacements and response spectra for several recordings of the 1999 Chi–Chi, Taiwan, Earthquake. Bull Seismol Soc Am 91:1199–1211
Boore DM, Bommer JJ (2005) Processing of strong-motion accelerograms: needs, options and consequences. Soil Dyn Earthq Eng 25:93–115
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 68:128–153
Campbell KW (1981) Near-source attenuation of peak horizontal acceleration. Bull Seismol Soc Am 71:2039–2070
Campbell KW (1997) Empirical near-source attenuation relationships for horizontal and vertical components of peak ground acceleration, peak ground velocity, and pseudo-absolute acceleration response spectra. Seismol Res Lett 68:154–179
Chen J-H, Liu Q-Y, Li S-C, Guo B, Li Y, Wang J, Qi S-H (2009) Seismotectonic study by relocation of the Wenchuan Ms 8.0 earthquake sequence. Chin J Geophys 52:390–397
Chiou B, Darragh R, Gregor N, Silva W (2008) NGA project strong-motion database. Earthquake Spectra 24:23–44
Douglas J (2003) Earthquake ground motion estimation using strong-motion records: a review of equations for the estimation of peak ground acceleration and response spectral ordinates. Earth Sci Rev 61:43–104
Douglas J (2011) Ground-motion prediction equations 1964–2010. BRGM/RP-59356-FR, p 446
Douglas J, Boore DM (2011) High-frequency filtering of strong-motion records. Bull Earthq Eng 9:395–409
Draper NR, Smith H (1998) Applied regression analysis. Wiley, London
Feng J (2013) Comparison of ground motion prediction equation between China Wenchuan area and the central and eastern United States. Institute of Engineering Mechanics, CEA, London
Gillespie DT (1976) A general method for numerically simulating the stochastic time evolution of coupled chemical reactions. J Comput Phys 22:403–434
Hanks TC, Kanamori H (1979) A moment magnitude scale. J Geophys Res Solid Earth 84:2348–2350
Hansen RJ (1970) Seismic design for nuclear power plants. Country unknown/Code not available
Hartzell SH (1978) Earthquake aftershocks as Green's functions. Geophys Res Lett 5:1–4
Huang C-C, Lee Y-H, Liu H-P, Keefer DK, Jibson RW (2001) Influence of surface-normal ground acceleration on the initiation of the Jih-Feng-Erh-Shan landslide during the 1999 Chi–Chi, Taiwan, earthquake. Bull Seismol Soc Am 91:953–958
Huang R, Fan X (2013) The landslide story. Nat Geosci 6:325–326
Huang R, Li W (2008) Research on development and distribution rules of geohazards induced by Wenchuan earthquake on 12th May, 2008. Chin J Rock Mechan Eng 27:2585–2592
Huang Y, Wu J, Zhang T, Zhang D (2008) A study on the relocation of Ms 8.0 Wenchuan earthquake and its aftershock sequence. Sci China 2008:1242–1249 (in Chinese)
Huo J, Hu L (1992) Study on attenuation laws of ground motion parameters. Earthq EngEngVib 1992:1–11 (in Chinese)
Jibson RW (1993) Predicting earthquake-induced landslide displacements using Newmark's sliding block analysis. Transp Res Rec 1411:9–17
Jibson RW, Harp EL, Michael JA (2000) A method for producing digital probabilistic seismic landslide hazard maps. Eng Geol 58:271–289
Joyner WB, Boore DM (1981) Peak horizontal acceleration and velocity from strong-motion records including records from the 1979 Imperial Valley, California Earthquake. Bull Seismol Soc Am 71:2011–2038
Keefer DK (1984) Landslides caused by earthquakes. Geol Soc Am Bull 95:406
Liao H-W, Lee C-T (2000) Landslides triggered by the Chi–Chi earthquake. In: Proceedings of the 21st asian conference on remote sensing, Taipei, pp 383–388
Liu P, Luo Q (2014) Weighted two-step regression method of attenuation relationship considering sample uneven distribution. Acta Seismol Sin 2014:711–718 (in Chinese)
Lu D, Cui J, Li X, Lian W (2010) Ground motion attenuation of M S 8.0 Wenchuan earthquake. Earthq Sci 23:95–100
Malamud BD, Turcotte DL, Guzzetti F, Reichenbach P (2004) Landslides, earthquakes, and erosion. Earth Planet Sci Lett 229:45–59
Meunier P, Hovius N, Haines AJ (2007) Regional patterns of earthquake-triggered landslides and their relation to ground motion. Geophys Res Lett 34:L20408
Meunier P, Hovius N, Haines JA (2008) Topographic site effects and the location of earthquake induced landslides. Earth Planet Sci Lett 275:221–232
Ohno S, Ohta T, Ikeura T, Takemura M (1993) Revision of attenuation formula considering the effect of fault size to evaluate strong motion spectra in near field. Tectonophysics 218:69–81
Power M, Chiou B, Abrahamson N, Bozorgnia Y, Shantz T, Roblee C (2012) An overview of the NGA Project. Earthq Spect 24:3–21
Qi S, Xu Q, Lan H, Zhang B, Liu J (2010) Spatial distribution analysis of landslides triggered by 2008.5.12 Wenchuan Earthquake. China Eng Geol 116:95–108
Qi S, Xu Q, Zhang B, Zhou Y, Lan H, Li L (2011) Source characteristics of long runout rock avalanches triggered by the 2008 Wenchuan earthquake, China. J Asian Earth Sci 40:896–906
Shen ZK, Sun J, Zhang P, Wan Y, Wang M, Bürgmann R, Zeng Y, Gan W, Liao H, Wang Q (2009) Slip maxima at fault junctions and rupturing of barriers during the 2008 Wenchuan earthquake. Nat Geosci 2:718–724
Thompson EM, Baltay AS (2018) The case for mean rupture distance in ground-motion estimation the case for mean rupture distance in ground-motion estimation. Bull Seismol Soc Am 108:2462–2477
Wang W, Zhao L, Li J, Yao Z (2008) Rupture process of the Ms 8.0 Wenchuan earthquake of Sichuan, China. Chin J Geophys 51:1403–1410 (in Chinese)
Xia K, Rosakis AJ, Kanamori H, Rice JR (2005) Laboratory earthquakes along inhomogeneous faults: directionality and supershear. Science 308:681–684
Xu C, Xu X, Shen L, Yao Q, Tan X, Kang W, Ma S, Wu X, Cai J, Gao M (2016) Optimized volume models of earthquake-triggered landslides. Sci Rep 6:29797
Xu C, Xu X, Yao X, Dai F (2014) Three (nearly) complete inventories of landslides triggered by the May 12, 2008 Wenchuan Mw 7.9 earthquake of China and their spatial distribution statistical analysis. Landslides 11:441–461
Xu X, Wen X, Yu G, Chen G, Klinger Y, Hubbard J, Shaw J (2009) Coseismic reverse- and oblique-slip surface faulting generated by the 2008 Mw 7.9 Wenchuan earthquake, China. Geology 37:515–518
Yin Y, Wang F, Sun P (2009) Landslide hazards triggered by the 2008 Wenchuan earthquake, Sichuan, China. Landslides 6:139–152
Yuan RM, Deng QH, Cunningham D, Xu C, Xu XW, Chang CP (2013) Density distribution of landslides triggered by the 2008 Wenchuan earthquake and their relationships to peak ground acceleration. Bull Seismol Soc Am 103:2344–2355
Acknowledgements
The ground acceleration data for this study were provided by the China Strong Motion Network Centre at the Institute of Engineering Mechanics, China Earthquake Administration. This work was financially supported by the Second Tibetan Plateau Scientific Expedition and Research Program (STEP) under Grant No. 2019QZKK0904 and the National Science Foundation of China under grants Nos. 41825018, 41790442 and 41672307. The work was also supported by the Application of Synthetic Aperture Radar-based Geological Hazard Analysis Technology on the Strategic Electricity Transmission Passage of Sichuan-Tibet Plateau (No. 52199918000C).
Funding
This work was financially supported by the Second Tibetan Plateau Scientific Expedition and Research Program (STEP) under Grant No. 2019QZKK0904 and the National Science Foundation of China under Grants Nos. 41825018, 41790442 and 41672307. The work was also supported by the Application of Synthetic Aperture Radar-based Geological Hazard Analysis Technology on the Strategic Electricity Transmission Passage of Sichuan-Tibet Plateau (No. 52199918000C).
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XY processed the data and drafted this manuscript. SQ provided the research data and ideas and revised the manuscript. CL, SG, XH, CX, BZ, ZZ and YZ provided suggestions and helped revise the manuscript.
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Yao, X., Qi, S., Liu, C. et al. An empirical attenuation model of the peak ground acceleration (PGA) in the near field of a strong earthquake. Nat Hazards 105, 691–715 (2021). https://doi.org/10.1007/s11069-020-04332-x
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DOI: https://doi.org/10.1007/s11069-020-04332-x