Zhong QiuShi Baopingdivcom sh advance. 2012: Aftershock duration of the 1976 MS7.8 Tangshan earthquake and implication for seismic hazard estimation. Acta Seismologica Sinica, 34(4): 494-508.
Citation: Zhong QiuShi Baopingdivcom sh advance. 2012: Aftershock duration of the 1976 MS7.8 Tangshan earthquake and implication for seismic hazard estimation. Acta Seismologica Sinica, 34(4): 494-508.

Aftershock duration of the 1976 MS7.8 Tangshan earthquake and implication for seismic hazard estimation

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  • Published Date: July 12, 2012
  • The disastrous MS7.8 earthquake in Tangshan, China, on 28 July 1976 caused great damage and significant casualties. The mainshock was followed by two large aftershocks: the MS7.1 eventto the northeast near Luanxian 15 h after the mainshock, and the MS6.9 event on 15 Novembersouthwest of Tangshan near Ninghe. The aftershock sequence lasts to date, making regional seismic activity around the Tangshan main fault much higher than that of before the mainshock. It is always difficult to accurately determine the duration time of aftershock sequences and identify the aftershocks from main event catalog. In this study, by using theoretical inference and empirical relation, we tried to derive the time length of aftershock sequences of the MS7.8 Tangshan earthquake. The estimated aftershock duration from a log-log regression is about 120 years according to the empirical Omorirsquo;s relation (Toda et al). Based on Dietrich theory, it has been claimed that the aftershock duration is a function of remote shear stressing rate, normal stress acting on the fault plane, and fault frictional constitutive parameters (Dieterich). In general, shear stressing rate could be estimated in three ways: ① Shear stressing rate could be written as a function of static stress drop and a mean earthquake recurrence time (Dieterich). In this case, the time length of aftershock sequences is about 70mdash;100 years. However, the recurrence time inherits a great deal of uncertainty. ② Ziv and Rubinderived a general function between shear stressing rate, fault slip speed and fault width with a consideration that aftershock duration does not scale with mainshock magnitude. Therefore, from Zivrsquo;s consideration, the aftershock duration is about 80 years. ③ Shear stressing ratecan also be described as a function of background seismicity rate (Console et al). From this approach, a two-dimensional spatial distribution of the aftershock duration can be obtained, and the resultant time length of aftershock sequences is about 130mdash;160 years, which is much longer than that given by previous two approaches. The conclusive noting gives that, for the 1976 MS7.8 Tangshan earthquake, the triggered aftershocks would last at least 70 years, implying that the current earthquakes which occurred in Tangshan region after the 1976 mainshock are the aftershocks of the main event.
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    Console R, Murru M, Catalli F. 2006. Physical and stochastic models of earthquake clustering[J]. Tectonophysics, 417(1): 141——153.

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    Dieterich J H. 1981. Constitutive properties of faults with simulated gouge[J]. Mechanical Behavior of Crustal Rocks, 24: 103——120.

    Dieterich J H. 1992. Earthquake nucleation on faults with rate and state——dependent strength[J]. Tectonophysics, 211(1——4): 115——134.

    Dieterich J H. 1994. A constitutive law for rate of earthquake production and its application to earthquake clustering[J]. J Geophys Res, 99(B2): 2601——2618.

    Gomberg J, Beeler N M, Blanpied M L, Bodin P. 1998. Earthquake triggering by transient and static deformations[J]. J Geophys Res, 103(B10): 24411——24426.

    Gross S, Bürgmann R. 1998. Rate and state of background stress estimated from the aftershocks of the 1989 Loma Prieta, California, earthquake[J]. J Geophys Res, 103(B3): 4915——4927.

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    Harris R A, Simpson R W. 1998. Suppression of large earthquakes by stress shadows: A comparison of Coulomb and rate——and——state failure[J]. J Geophys Res, 103(24): 439—— 451.

    Helmstetter A, Shaw B E. 2009. Afterslip and aftershocks in the rate——and——state friction law[J]. J Geophys Res, 114: B01308. doi:10.1029/2007JB005077.

    Huang B, Yeh Y T. 1997. The fault ruptures of the 1976 Tangshan earthquake sequence inferred from coseismic crustal deformation[J]. Bull Seism Soc Amer, 87(4): 1046——1057.

    King G C P, Stein R S, Lin J. 1994. Static stress changes and the triggering of earthquakes[J]. Bull Seism Soc Amer, 84(3): 935——953.

    Knopoff L. 1958. Energy release in earthquakes[J]. Geophys J, 1(1): 44——52.

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    Rice J R, Gu J C. 1983. Earthquake aftereffects and triggered seismic phenomena[J]. Pure Appl Geophys, 121(2): 187——219.

    Robinson R, Zhou S. 2005. Stress interactions within the Tangshan, China, earthquake sequence of 1976[J]. Bull Seism Soc Amer, 95(6): 2501——2505.

    Ruina A. 1983. Slip instability and state variable friction laws[J]. J Geophys Res, 88(10): 359——370.

    Scholz C H. 1998. Earthquakes and friction laws[J]. Nature, 391: 37——42.

    Shen Z, Zhao C, Yin A, Li Y, Jackson D D, Fang P, Dong D. 2000. Contemporary crustal deformation in east Asia constrained by Global Positioning System Measurements[J]. J Geophys Res, 105(B3): 5721——5734.

    Stein S, Liu M. 2009. Long aftershock sequences within continents and implications for earthquake hazard assessment[J]. Nature, 462(5): 87——89.

    Toda S, Stein R S, Reasenberga P A, Dieterich J H, Yoshida A. 1998. Stress transferred by the 1995 MW=6.9 Kobe, Japan, shock: Effect on aftershocks and future earthquake probabilities[J]. J Geophys Res, 103(24): 543——565.

    Wang Q, Zhang P Z, Freymueller J T, Bilham R, Larson K M, Lai X, You X, Niu Z J, Wu J C, Li Y X, Liu J N, Yang Z Q, Chen Q Z. 2001. Present——day crustal deformation in China constrained by Global Positioning System Measurements[J]. Science, 294(5542): 574——577.

    Ziv A, Rubin A M. 2003. Implications of rate——and——state friction for properties of aftershock sequence: Quasi——static inherently discrete simulations[J]. J Geophys Res, 108(B1): 2051.

    邓起东, 徐锡伟, 于贵华. 1994. 中国大陆活动断裂的分区特征及其成因[G]//中国活动断层研究. 北京: 地震出版社: 1——14.

    万永革, 沈正康, 刁桂苓, 王福昌, 胡新亮, 盛书中. 2008. 利用小震分布和区域应力场确定大震断层面参数方法及其在唐山地震序列中的应用[J]. 地球物理学报,51(3): 793——804.

    尤惠川, 徐锡伟, 吴建平, 何正勤. 2002. 唐山地震深浅构造关系研究[J]. 地震地质, 24(4): 571——582.

    王绳祖, 张宗淳. 2001. 地震时空影响域、复发间隔和有效孕震时间[J]. 中国地震, 17(4): 364——377.

    Beeler N M. 2004. Review of the physical basis of laboratory——derived relations for brittle failure and their implications for earthquake occurrence and earthquake nucleation[J]. Pure Appl Geophys, 161(9——10): 1853——1876.

    Belardinelli M E, Cocco M, Coutant O, Cotton F. 1999. Redistribution of dynamic stress during coseismic ruptures: Evidence for fault interaction and earthquake triggering[J]. J Geophys Res, 104(B7): 14925——14945.

    Butler R, Stewart G S, Kanamori H. 1979. The July 27, 1976 Tangshan, China earthquake: A complex sequence of intraplate events[J]. Bull Seism Soc Amer, 69(1): 207——220.

    Chen K H, Nadeau R M, Rau R. 2007. Towards a universal rule on the recurrence interval scaling of repeating earthquakes?[J]. Geophys Res Lett, 34(16): L16308, doi:10.1029/2007GL030554.

    Console R, Murru M, Catalli F. 2006. Physical and stochastic models of earthquake clustering[J]. Tectonophysics, 417(1): 141——153.

    Cornell C A. 1968. Engineering seismic risk analysis[J]. Bull Seism Soc Amer, 58(5): 1583——1606.

    Dieterich J H. 1979. Modeling of rock friction 2. Simulation of preseismic slip[J]. J Geophys Res, 84(B5): 2169——2175.

    Dieterich J H. 1981. Constitutive properties of faults with simulated gouge[J]. Mechanical Behavior of Crustal Rocks, 24: 103——120.

    Dieterich J H. 1992. Earthquake nucleation on faults with rate and state——dependent strength[J]. Tectonophysics, 211(1——4): 115——134.

    Dieterich J H. 1994. A constitutive law for rate of earthquake production and its application to earthquake clustering[J]. J Geophys Res, 99(B2): 2601——2618.

    Gomberg J, Beeler N M, Blanpied M L, Bodin P. 1998. Earthquake triggering by transient and static deformations[J]. J Geophys Res, 103(B10): 24411——24426.

    Gross S, Bürgmann R. 1998. Rate and state of background stress estimated from the aftershocks of the 1989 Loma Prieta, California, earthquake[J]. J Geophys Res, 103(B3): 4915——4927.

    Gross S, Kisslinger C. 1997. Estimating tectonic stress rate and state with Landers aftershocks[J]. J Geophys Res, 102(B4): 7603——7612.

    Harris R A, Simpson R W. 1998. Suppression of large earthquakes by stress shadows: A comparison of Coulomb and rate——and——state failure[J]. J Geophys Res, 103(24): 439—— 451.

    Helmstetter A, Shaw B E. 2009. Afterslip and aftershocks in the rate——and——state friction law[J]. J Geophys Res, 114: B01308. doi:10.1029/2007JB005077.

    Huang B, Yeh Y T. 1997. The fault ruptures of the 1976 Tangshan earthquake sequence inferred from coseismic crustal deformation[J]. Bull Seism Soc Amer, 87(4): 1046——1057.

    King G C P, Stein R S, Lin J. 1994. Static stress changes and the triggering of earthquakes[J]. Bull Seism Soc Amer, 84(3): 935——953.

    Knopoff L. 1958. Energy release in earthquakes[J]. Geophys J, 1(1): 44——52.

    Kramer S L. 1996. Geotechnical Earthquake Engineering[M]. Singapore: Pearson Education Inc: 106——138.

    Marone C. 1998. Laboratory——derived friction laws and their application to seismic faulting[J]. Ann Rev Earth Planet Sci, 26(1): 643——696.

    Parsons T, Velasco A A. 2009. On near——source earthquake triggering[J]. J Geophys Res, 114: B10307. doi:10.1029/2008JB006277, doi:10.1029/2008JB006277.

    Rice J R, Gu J C. 1983. Earthquake aftereffects and triggered seismic phenomena[J]. Pure Appl Geophys, 121(2): 187——219.

    Robinson R, Zhou S. 2005. Stress interactions within the Tangshan, China, earthquake sequence of 1976[J]. Bull Seism Soc Amer, 95(6): 2501——2505.

    Ruina A. 1983. Slip instability and state variable friction laws[J]. J Geophys Res, 88(10): 359——370.

    Scholz C H. 1998. Earthquakes and friction laws[J]. Nature, 391: 37——42.

    Shen Z, Zhao C, Yin A, Li Y, Jackson D D, Fang P, Dong D. 2000. Contemporary crustal deformation in east Asia constrained by Global Positioning System Measurements[J]. J Geophys Res, 105(B3): 5721——5734.

    Stein S, Liu M. 2009. Long aftershock sequences within continents and implications for earthquake hazard assessment[J]. Nature, 462(5): 87——89.

    Toda S, Stein R S, Reasenberga P A, Dieterich J H, Yoshida A. 1998. Stress transferred by the 1995 MW=6.9 Kobe, Japan, shock: Effect on aftershocks and future earthquake probabilities[J]. J Geophys Res, 103(24): 543——565.

    Wang Q, Zhang P Z, Freymueller J T, Bilham R, Larson K M, Lai X, You X, Niu Z J, Wu J C, Li Y X, Liu J N, Yang Z Q, Chen Q Z. 2001. Present——day crustal deformation in China constrained by Global Positioning System Measurements[J]. Science, 294(5542): 574——577.

    Ziv A, Rubin A M. 2003. Implications of rate——and——state friction for properties of aftershock sequence: Quasi——static inherently discrete simulations[J]. J Geophys Res, 108(B1): 2051.

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