Skip to main content

Advertisement

Log in

Bayesian probabilities of earthquake occurrences in Shanxi rift system (China)

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

Abstract

China has a long history of earthquake records. The Shanxi rift system (SRS) is situated along the axial zone of the domal uplift of the Shanxi Highlands and is the boundary between the Ordos block and the North China Plain block. Strong earthquakes in the SRS have been recorded since the thirteenth century. In our work, we applied the Bayesian probability method using extreme value distribution of earthquake occurrences to estimate the seismic hazard in the SRS. The seismic moment, slip rate, earthquake recurrence rate, and magnitude were considered as the basic parameters for computing the Bayesian prior estimates of the seismicity. These estimates were then updated in terms of Bayes’ theorem and historical estimates of seismicity in the SRS. The probability of occurrence of \(M_{\text{s}} = 5.0\) for Z1, Z2, and Z3 is less than 0.3, 0.1, and 0.6, respectively (T = 5 years). The probability of the occurrence of M \(\ge\) 8.0 is small for the whole SRS. The selection of upper bound magnitude probably influences the result, and the upper bound magnitude of Z1, Z2, and Z3 may be 7.5, 7.0, and 8.5, respectively. We obtained the values of the magnitude of completeness M c (3.2) and the Gutenberg–Richter b value before applying the Bayesian extreme value distribution of earthquake occurrences method.

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
Fig. 9
Fig. 10
Fig. 11
Fig. 12

Similar content being viewed by others

References

  • Bormann P, Liu RF, Ren X, Gutdeutsch R, Kaiser D, Castellaro S (2007) Chinese national network magnitudes, their relation to NEIC magnitudes, and recommendations for new IASPEI magnitude standards. Bull Seism Soc Am 97:114–127

    Article  Google Scholar 

  • Brune JN (1968) Seismic moment, seismicity, and rate of slip along major fault zones. J Geophys Res 73:777–784

    Article  Google Scholar 

  • Campbell KW (1982) Bayesian-analysis of extreme earthquake occurrences. Part 1. Probabilistic hazard model. Bull Seism Soc Am 72(5):1689–1705

    Google Scholar 

  • Campbell KW (1983) Bayesian-analysis of extreme earthquake occurrences. Part 2. Application to the San Jacinto fault zone of Southern California. Bull Seism Soc Am 73(4):1099–1115

    Google Scholar 

  • Cheng DL, Wang ZZ (1986) Bayesian estimation of seismicity. J Seism Res 9(2):133–146 (in Chinese with English abstract)

    Google Scholar 

  • Cornell CA, Vanmarcke EH (1969) The major influences on seismic risk. In: Proceedings of the Fourth World Conference on Earthquake Engineering, vol 1. Santiago, Chile, pp 69–83

  • Deng QD, Wang KL, Wang YP, Tang HJ, Wu YW, Ding ML (1973) On the tendency of seismicity and their geological set up of the seismic belt of Shanxi Graben. Scientia Geol Sin 1:37–74 (in Chinese)

    Google Scholar 

  • Galanis OC, Tapanos TM, Papadopoulos GA, Kiratzi AA (2002) Bayesian extreme values distribution for seismicity parameters assessment in South America. J Balk Geophys Soc 5:77–86

    Google Scholar 

  • Hanks TC, Kanamori H (1979) A moment magnitude scale (in fault mechanics). J Geophys Res 84(B5):2348–2350

    Article  Google Scholar 

  • He JK, Liu M, Li YX (2003) Is the Shanxi rift of northern China extending? Geophys Res Lett 30(23):SDE 1–SDE 7

    Article  Google Scholar 

  • Jin XS, Liu ZH (1999) A new method to determine the proportion of large to small earthquakes and its application in earthquake prediction. J Seism Res 22(3):260–264 (in Chinese with English abstract)

    Google Scholar 

  • Li YX, Yang GH, Li Z, Guo QL, Huang C, Zhu WY, Fu Y, Wang Q, Jiang ZS, Wang M (2003) Active block movement and strain state of Chinese mainland. Sci china Ser D 33(Suppl):65–81 (in Chinese)

    Google Scholar 

  • Li Z, Jiang C, Huang Y, Wang B (2011) Minimum magnitude of completeness for earthquake catalogue and scientific layout of seismic stations in Xinjiang region. Acta Seism Sin 33:763–775 (in Chinese with English abstract)

    Google Scholar 

  • Ma ZJ, Deng QD, Liu GX, Zhao XP, Liu GD, Ma BL, Zhou KS, Jiang P, Yin ZQ, Gao ZH, Chen JY, Miao LT (1993) Linfen region seismic study, earthquake pre-evaluation and prevention, Shanxi. In: Ma ZJ (ed) Seismic study and disaster mitigation in Linfen, Shanxi. Seismol Press, Beijing, pp 1–11

    Google Scholar 

  • Mignan A, Werner MJ, Wiemer S, Chen CC, Wu YM (2011) Bayesian estimation of the spatially varying completeness magnitude of earthquake catalogs. Bull Seism Soc Am 101:1371–1385

    Article  Google Scholar 

  • Mignan A, Jiang C, Zechar JD, Wiemer S, Wu Z, Huang Z (2013) Completeness of the Mainland China earthquake catalog and implications for the setup of the China Earthquake Forecast Testing Center. Bull Seism Soc Am 103(2A):845–859

    Article  Google Scholar 

  • Nanjo KZ, Ishibe T, Tsuruoka H, Schorlemmer D, Ishigaki Y, Hirata N (2010) Analysis of the completeness magnitude and seismic network coverage of Japan. Bull Seism Soc Am 100:3261–3268

    Article  Google Scholar 

  • Parvez IA (2007) On the Bayesian analysis of the earthquake hazard in the North-East Indian peninsula. Nat Hazards 40(2):397–412

    Article  Google Scholar 

  • Shedlock KM, McGuire RK, Herd DG (1980) Earthquake recurrence in the San Francisco Bay region, California, from Fault Slip and seismic moments. U.S. Geol Surv. Open-File Rept 80-999

  • Stavrakakis GN, Drakopoulos J (1995) Bayesian probabilities of earthquake occurrences in Greece and surrounding areas. Pure Appl Geophys 144(2):307–319

    Article  Google Scholar 

  • Su YZ, Wang JY (1992) Seismic activity on the Fen–Wei seismic zone. Inland Earthq 6:143–150 (in Chinese with English abstract)

    Google Scholar 

  • Su YJ, Li YL, Li ZH, Yi GX, Liu LF (2003) Analysis of minimum completeness magnitude of earthquake catalog in Sichuan–Yunnan region. J Seism Res 26(S1):10–16

    Google Scholar 

  • Tselentis GA, Stavrakakis G, Makropoulos K, Latousakis J, Drakopoulos J (1988) Seismic moments of earthquakes at the western Hellenic arc and their application to the seismic hazard of the area. Tectonophysics 148:73–82

    Article  Google Scholar 

  • Wang TM, Zheng BH, Li XY, Wang YP (1993) Seismotectonic study of the 1695 Linfen 71/2 earthquake. In: Ma ZJ (ed) Seismic study and disaster mitigation in Linfen, Shanxi. Seismol Press, Beijing, pp 172–189

    Google Scholar 

  • Wang H, Liu M, Cao JL, Shen XH, Zhang GM (2011) Slip rates and seismic moment deficits on major active faults in mainland China. J Geophys Res 116(B02405):1–17

    Google Scholar 

  • Wen XZ (2000) Influence of the 1303 great earthquake rupture, Shanxi on earthquake recurrence behavior of its adjacent fault segments. Earthq Res China 16(01):25–30 (in Chinese with English abstract)

    Google Scholar 

  • Wen XZ (2001) Earthquake behavior of variable rupture-scale on active faults and application of the cascade-rupturing model. Acta Seism Sin 14(04):380–390 (in Chinese with English abstract)

    Google Scholar 

  • Wiemer S, Wyss M (2000) Minimum magnitude of completeness in earthquake catalogs: examples from Alaska, the western United States, and Japan. Bull Seism Soc Am 90(4):859–869

    Article  Google Scholar 

  • Wu L, Qi SQ, Wang RP (1998) 1303 Hongtong M = 8 earthquake and 1695 Linfen M = 8 earthquake. In: Guo JZ, Ma ZJ (eds) Great earthquake earthquake research in China. Press, Beijing, Seismol, pp 6–35

    Google Scholar 

  • Xu XW, Deng QD (1992) Study on strong earthquake activity and risk areas in the Shanxi graben system. Seism Geol 14(4):305–316 (in Chinese with English abstract)

    Google Scholar 

  • Xu XW, Deng QD (1993) Seismotectonic of the 1303 Hongtong earthquake. In: Ma ZJ (ed) Seismic study and disaster mitigation in Linfen, Shanxi. Seismol Press, Beijing, pp 149–158

    Google Scholar 

  • Xu XW, Ma XY (1992) Geodynamics of the Shanxi rift system, China. Tectonophysics 208:325–340

    Article  Google Scholar 

  • Xu XW, Ma XY, Deng QD (1993) Neotectonic activity along the Shanxi rift system, China. Tectonophysics 219(4):305–325

    Article  Google Scholar 

  • Yadav R, Tsapanos TM, Bayrak Y, Koravos GC (2013) Probabilistic appraisal of earthquake hazard parameters deduced from a Bayesian approach in the northwest frontier of the Himalayas. Pure Appl Geophys 170(3):283–297

    Article  Google Scholar 

  • Yang GH, Han YP, Wang M (2003) Characteristics of the horizontal crustal movement of North China in the last decade. Earthq Res China 19(4):324–333 (in Chinese with English abstract)

    Google Scholar 

  • Yi GX, Wen XZ, Xu XW (2004) Average recurrence intervals of strong earthquakes and potential risky segments along the Taiyuan–Linfen portion of the Shanxi graben system. Acta Seism Sin 26(4):387–395 (in Chinese with English abstract)

    Google Scholar 

  • Zhang PZ, Deng QD, Zhang GM, Ma J, Gan WJ, Min W, Mao FY, Wang Q (2003) Strong earthquake activity and active blocks in China mainland. Sci china Ser D 33(Suppl):12–20 (in Chinese)

    Google Scholar 

Download references

Acknowledgments

This work is financially supported by the National Natural Science Foundation of China (ID 40634021) and the National Science and Technology Major Project of China (ID 2008ZX05035-006-001). Ph.D. candidate Hong Ye and Ph.D. candidate Cai Deng offered their help in completing the manuscript. We are also indebted to the two anonymous reviewers, who provided valuable comments and that significantly improved the original manuscript.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Ying Wang.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wang, Y., Zhang, Q. & Liu, C. Bayesian probabilities of earthquake occurrences in Shanxi rift system (China). Nat Hazards 71, 1749–1769 (2014). https://doi.org/10.1007/s11069-013-0973-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11069-013-0973-7

Keywords

Navigation