Skip to main content
Log in

Estimation of high-frequency seismic wave radiation on fault plane of 2008 Wenchuan earthquake based on improved empirical Green’s function

  • Original Paper
  • Published:
Natural Hazards Aims and scope Submit manuscript

Abstract

A new strategy for inversion of high-frequency wave radiation condition on the fault plan is exhibited. One-dimensional source model of large earthquake was divided into subfaults, each subfault contains a series of subsources to express high-frequency wave radiation. Envelope of large earthquakes can be expressed as a root-mean-squared with combination of envelope attenuation relationship from all subsources. The envelope attenuation relationship is considered as the empirical Green’s function. Distribution of subsources is estimated by envelope inversion. According to this method, the high-frequency (> 1 Hz) wave radiation areas of 2008 Wenchuan earthquake are generally inverted by the differential evolution using acceleration data from 27 near-field stations, while acceleration waveforms of the Lushan earthquake from 43 near-field stations were utilized to create attenuation envelope. High-frequency waves radiated in: (1) surface rupture areas, including Yingxiu and Beichuan areas; (2) close to the boundaries of asperities near Yingxiu, Yuejiashan, Beichuan and Nanba areas; (3) within 30 km length near the fault northeastern tip; (4) around Qingchuan area.

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
Fig. 8

Similar content being viewed by others

Data and resources

The focal mechanism solutions of Wenchuan and Lushan earthquakes are from Global Centroid Moment Tensor Project database. The website is www.globalcmt.org/CMTsearch.html (last accessed on January 2, 2019). Data of the 2013 Lushan Mw6.6 earthquake from 43 strong-motion stations and data of the 2008 Wenchuan Mw7.9 earthquake from 27 strong-motion stations were provided by the Institute of Engineering Mechanics, China Earthquake Administration, Harbin, China, director Sun Bai-Tao. But, the data cannot be released to the public.

References

  • Aguirre J, Irikura K (2003) Reliability of envelope inversion for the high-frequency radiation source process using strong motion data: example of the 1995 Hyogoken Nanbu earthquake. Bull Seismol Soc Am 93(5):2005–2016

    Google Scholar 

  • Allmann BP, Shearer PM (2007) A high-frequency secondary event during the 2004 M6.0 Parkfield earthquake. Science 318(5854):1279–1283

    Google Scholar 

  • Cocco M, Boatwright J (1993) The envelopes of acceleration time histories. Bull Seismol Soc Am 83:1095–1114

    Google Scholar 

  • Delouis B, Giardini D, Lundgren P, Salicho J (2002) Joint inversion of InSAR, GPS, teleseismic, and strong-motion data for the spatial and temporal distribution of earthquake slip: application to the 1999 Izmit mainshock. Bull Seismol Soc Am 92(1):278–299

    Google Scholar 

  • Du HL, Xu LS, Chen YT (2009) Rupture process of the 2008 Great Wenchuan earthquake from the analysis of the Alaska-array data. Chin J Geophys 52(2):372–378

    Google Scholar 

  • Fielding EJ, Sladen A, Li ZH, Avouac JP, Burgmann R, Ryder I (2013) Kinematic fault slip evolution source models of the 2008 M7.9 Wenchuan earthquake in China from SAR interferometry GPS and teleseismic analysis and implications for Longmen Shan tectonics. Geophys J Int 194:1138–1166

    Google Scholar 

  • Hanks TC (1974) The faulting mechanism of the San Fernando earthquake. J Geophys Res 79:1215–1229

    Google Scholar 

  • Hao JL, Ji C, Wang W, Yao Z (2013) Rupture history of the 2013 Mw 6.6 Lushan earthquake constrained with local strong motion and teleseismic body and surface waves. Geophys Res Lett 40(20):5371–5376

    Google Scholar 

  • Hartzell SH (1978) Earthquake aftershocks as Green's Functions. Geophys Res Lett 5(1):1–4

    Google Scholar 

  • Hartzell SH, Heaton TH (1983) Inversion of strong ground motion and teleseismic waveform data for the fault rupture history of the 1979 Imperial Valley, California, earthquake. Bull Seismol Soc Am 73:1553–1583

    Google Scholar 

  • Hartzell SH, Liu C, Mendoza C, Ji C, Larson KM (2007) Stability and uncertainty of finite-fault slip inversions: application to the 2004 Parkfield, California, earthquake. Bull Seismol Soc Am 97:1911–1934

    Google Scholar 

  • Hartzell SH, Mendoza C, Leonardo RG, Zeng YH, Mooney W (2013) Rupture history of the 2008 Mw7.9 Wenchuan, China, earthquake: evaluation of separate and joint inversions of geodetic teleseismic, and strong-motion data. Bull Seismol Soc Am 103(1):353–370

    Google Scholar 

  • Huo JR, Hu YX, Feng QM (1991) Study on envelope function of acceleration time history. J Earthq Eng Eng Vib 11(1):1–12

    Google Scholar 

  • Ishii M, Shearer PM, Houston H et al (2005) Extent, duration and speed of the 2004 Sumatra–Andaman earthquake imaged by the Hi-Net array. Nature 435(7044):933–936

    Google Scholar 

  • Kakehi Y, Irikura K (1996) Estimation of high-frequency wave radiation areas on the fault plane by the envelope inversion of acceleration seismograms. Geophys J Int 1125:892–900

    Google Scholar 

  • Kakehi Y, Irikura K (1997) High-frequency radiation process during earthquake faulting envelope inversion of acceleration seismograms from the 1993 Hokkaido–Nasei–Oki, Japan, earthquake. Bull Seismol Soc Am 87(4):904–917

    Google Scholar 

  • Kakehi Y, Irikura K, Hoshiba M (1996) Estimation of high-frequency wave radiation areas on the fault plane of the 1995 Hyogo-ken Nanbu earthquake by the envelope inversion of acceleration seismogram. J Phys Earth 44:505–517

    Google Scholar 

  • Kimiyuki A, Tomotaka I (2011) Source-rupture process of the 2007 Noto Hanto, Japan, earthquake estimated by the joint inversion of strong motion and GPS data. Bull Seismol Soc Am 101(5):2467–2480

    Google Scholar 

  • Li XJ, Liu L, Wang YS, Yu T (2010) Analysis of horizontal strong-motion attenuation in the great 2008 Wenchuan earthquake. Bull Seismol Soc Am 100(5B):2440–2449

    Google Scholar 

  • Liu QF, Li XJ (2009) Preliminary analysis of the hanging wall effect and velocity pulse of the 5.12 Wenchuan earthquake. Earthq Eng Eng Vib 8(2):165–177

    Google Scholar 

  • Madariaga R (1976) Dynamics of an expanding circular fault. Bull Seismol Soc Am 66(3):639–666

    Google Scholar 

  • Michel S, Avouac JP, Lapusta N, Jiang JL (2017) Pulse-like partial ruptures and high-frequency radiation at creeping-locked transition during megathrust earthquakes. Geophys Res Lett 44:8345–8351

    Google Scholar 

  • Nakahara H (2008) Seismogram envelope inversion for high-frequency seismic energy radiation from moderate to large earthquakes. Adv Geophy 50:401–426

    Google Scholar 

  • Nakahara H (2013) Envelope inversion analysis for high-frequency seismic energy radiation from the 2011Mw9.0 off the Pacific coast of Tohoku earthquake. Bull Seismol Soc Am 103(2B):1348–1359

    Google Scholar 

  • Nakahara H, Nishimura T, Sato H, Ohtake M (1998) Seismogram envelope inversion for the spatial distribution of high-frequency energy radiation from the earthquake fault: application to the 1994 far east off Sanriku earthquake, Japan. J Geophys Res 103:855–867

    Google Scholar 

  • Nakahara H, Sato H, Ohtake M, Nishimura T (1999) Reliability of envelope inversion for the high-frequency radiation source process using strong motion data: example of the 1995 Hyogoken Nanbu earthquake. Bull Seismol Soc Am 89(1):22–35

    Google Scholar 

  • Nakahara H, Nishimura T, Sato H (2003) Broad band source process of the 1998 Iwate Prefecture, Japan, earthquake as revealed from inversion analyses of seismic waveforms and envelopes. Bull Seismol Soc Am 2003(92):1708–1720

    Google Scholar 

  • Okuwaki R, Yagi Y (2018) Role of geometric barriers in irregular-rupture evolution during the 2008 Wenchuan earthquake. Geophys J Int 212(3):1657–1664

    Google Scholar 

  • Okuwaki R, Yagi Y, Hirano S (2014) Relationship between high-frequency radiation and asperity ruptures, revealed by hybrid back-projection with a non-planar fault model. Sci Rep 4:7120

    Google Scholar 

  • Qin W, Yao HJ (2017) Characteristics of subevents and three-stage rupture processes of the 2015 Mw 7.8 Gorkha Nepal earthquake from multiple-array back projection. J Asian Earth Sci 133:72–79

    Google Scholar 

  • Shen ZK, Sun JB, Zhang PZ, Wan YG, Wang M, Bürgmann R, Zeng YH, Gan WJ, Liao H, Wang QL (2009) Slip maxima at fault junctions and rupturing of barriers during the 2008 Wenchuan earthquake. Nat Geosci 2(10):718–724

    Google Scholar 

  • Storn R, Price K (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11(4):341–359

    Google Scholar 

  • Tang H, Li XJ, Li YQ (2012) Site effect of topograghy on ground motions of Xishan Park of Zigong City. J Vib Shock 31(8):74–79

    Google Scholar 

  • Uchide T, Yao HJ, Shearer PM (2013) Spatio-temporal distribution of fault slip and high-frequency radiation of the 2010 El Mayor-Cucapah, Mexico earthquake. J Geophys Res Solid Earth 118(4):1546–1555

    Google Scholar 

  • Wald DJ, Heaton TH, Hudnut KW (1996) The slip history of the 1994 Northridge, California, earthquake determined from strong motion, teleseismic, GPS, and leveling data. Bull Seismol Soc Am 86:S49–S70

    Google Scholar 

  • Wang WM, Zhao LF, Li J, Yao ZX (2008) Rupture process of the Ms 8.0 Wenchuan earthquake of Sichuan, China. Chin J Geophys 51(5):1403–1410

    Google Scholar 

  • Xu XW, Wen XZ, Ye JQ et al (2008) The Ms8.0 Wenchuan earthquake surface ruptures and its seismogenic structure. Seismol Geol 30(3):597–629

    Google Scholar 

  • Yamada M, Heaton T (2008) Real-time estimation of fault rupture extent using envelopes of acceleration. Bull Seismol Soc Am 98(2):607–619

    Google Scholar 

  • Yin DY (2017) Research on the Wenchuan earthquake rupture process of joint inversion and high-frequency radiation. PhD thesis, Institute of engineering mechanics, China earthquake administration, Harbin, China

  • Yin DY, Liu QF, Wu JK (2018) Estimation of the Wenchuan earthquake rupture sequence utilizing teleseismic records and coseismic displacements. Adv Civil Eng 2018

  • Yu Y (2012) Empirical estimate model for ground motion of Wenchuan earthquake zone. PhD thesis, Institute of engineering mechanics, China earthquake administration, Harbin, China

  • Zeng YH, Aki K, Teng TL (1993) Mapping of the high-frequency source radiation for the Loma Prieta earthquake, California. J Geophys Res 98:11981–11993

    Google Scholar 

  • Zhang H, Ge ZX (2010) Tracking the rupture of the 2008 Wenchuan earthquake by using the relative back-projection method. Bull Seismol Soc Am 100(5B):2551–2560

    Google Scholar 

  • Zhang Y, Feng WP, Xu LS, Zhou CH, Chen YT (2008) The rupture process of the Great Wenchuan earthquake. Sci China Earthq Sci 38(10):1186–1194

    Google Scholar 

  • Zhao CP, Chen ZL, Zhou LQ, Li ZX, Kang Y (2009) Rupture process of the 8.0 Wenchuan earthquake of Sichuan, China: the segmentation feature. Chin Sci Bull 54:3475–3482

    Google Scholar 

  • Zheng Y, Ge C, Xie ZJ et al (2013) Crustal and upper mantle structure and the deep seismogenic environment in the source regions of the Lushan earthquake and the Wenchuan earthquake. Sci China Earth Sci 43:1027–1037

    Google Scholar 

Download references

Acknowledgements

Most figures were plotted using MATLAB. Some figures were plotted using GMT (The Generic Mapping Tools, https://gmt.soest.hawaii.edu/projects/gmt/wiki/download). This research is supported by Jiangsu Provincial Department of housing and construction project (Z413B18329), the National Natural Science Foundation of China (Grant No. 51804129, 51904112, 51904113).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Deyu Yin.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yin, D., Dong, Y., Liu, Q. et al. Estimation of high-frequency seismic wave radiation on fault plane of 2008 Wenchuan earthquake based on improved empirical Green’s function. Nat Hazards 104, 397–412 (2020). https://doi.org/10.1007/s11069-020-04174-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11069-020-04174-7

Keywords

Navigation