MEAN STRESS FIELD INFERRED FROM THE TOTAL SEISMIC MOMENT RELEASED BY EARTHQUAKES

doi:10.3969/j.issn.0253-4967.2013.01.008

Abstract

Abstract:

In this paper,we present a method which allows to calculate the mean stress field according to the total seismic moment released by earthquakes.The exact method is as follows: First,we calculate the scalar seismic moment released by each earthquake according to the statistical relationship between earthquake magnitude and its seismic moment; Second,we calculate the seismic moment tensor released by each earthquake according to the relationship between focal mechanism solution and seismic moment tensor; Then,we can get the total seismic moment tensor released in a specific time period of the study area; Finally,we calculate the eigenvector and eigenvalue of the total seismic moment tensor,the obtained eigenvector is corresponding to the mean stress field direction released by the study area. We tested the method by using the synthetic focal mechanism to which random error was added and with the focal mechanism data of Tangshan aftershock zone.The testing results show that,the released stress field of the study area obtained by our method is in consistency with the regional stress field. So our method can be applied to solve regional stress field.The more focal mechanism data used,the more stable the result would be,and closer to the real regional stress field. One of the advantages of this method is that it uses magnitude as the weight of each earthquake,so the contribution difference of the earthquake size in the stress field inversion can be better reflected. Another advantage is that it does not need to know which nodal plane of the focal mechanism is the real fault plane when we calculate stress field.

Key words: focal mechanism, stress field, seismic moment, magnitude

摘要：

文中给出了根据地震释放的总地震矩求解平均应力场的方法,并使用加入随机误差的人工合成震源机制解数据和唐山余震区震源机制解数据对其进行检验。由检验结果可知,该方法可以应用于区域平均应力场的求解。使用的震源机制解资料越多,所得结果越稳定,且更接近真实的区域应力场。该方法的优点是: 用每个地震的震级作为权重,能够较好地反映出大小地震在应力场反演中的不同贡献; 并且在计算过程中不需要知道震源机制解2个节面中哪个节面为地震断层面。

关键词: 震源机制解, 应力场, 地震矩, 震级

CLC Number:

P35.3⁺1

SHENG Shu-zhong, WAN Yong-ge, XU Zhi-guo, BU Yu-fei, WU Ye, LI Ying-qiu. MEAN STRESS FIELD INFERRED FROM THE TOTAL SEISMIC MOMENT RELEASED BY EARTHQUAKES[J]. SEISMOLOGY AND GEOLOGY, 2013, 35(1): 92-100.

盛书中, 万永革, 徐志国, 卜玉菲, 武晔, 李迎秋. 由地震释放的地震矩叠加推导平均应力场[J]. 地震地质, 2013, 35(1): 92-100.

References

时振梁,张少泉,赵荣国,等.1990.地震工作手册［M］.北京: 地震出版社.133—134.
SHI Zhen-liang,ZHANG Shao-quan,ZHAO Rong-guo,et al.1990.Earthquake Manual ［M］.Seismological Press,Beijing(in Chinese).
万永革,李鸿吉.1996.京津唐张地区速度结构和震源位置联合反演的遗传算法［J］.地震地磁观测与研究,17(3): 57—65.
WAN Yong-ge,LI Hong-ji.1996.Genetic algorithms of the velocity structure and hypocenters simultaneous inversion in Beijing-Tianjin-Tangshan-Zhangjiakou area ［J］.Seismological and Geomagnetic Observation and Research,17(3): 57—65(in Chinese).
万永革,沈正康,甘卫军,等.2005.华北地区大地震矩释放率和GPS应变率的一致性研究［J］.中国地震,21(1): 33—40.
WAN Yong-ge,SHEN Zheng-kang,GAN Wei-jun,et al.2005.On the consistency of large earthquake moment and strain rate inferred from GPS data in North China ［J］.Earthquake Research in China,21(1): 33—40(in Chinese).
谢富仁,陈群策,崔效锋,等.2003.中国大陆地壳应力环境研究［M］.北京: 地质出版社.
XIE Fu-ren,CHEN Qun-ce,CUI Xiao-feng,et al.2003.Crustal Stress in China ［M］.Geological Publishing House,Beijing(in Chinese).
许忠淮.1985.用滑动方向拟合法反演唐山余震区的平均应力场［J］.地震学报,7(4): 349—361.
XU Zhong-huai.1985.Mean stress field in Tangshan aftershock area obtained from focal mechanism data by fitting slip directions ［J］.Acta Seismologica Sinica,7(4): 349—361(in Chinese).
许忠淮.2001.东亚地区现今构造应力图的编制［J］.地震学报,23(5): 492—501.
XU Zhong-huai.2001.A present-day tectonic stress map for Eastern Asia region ［J］.Acta Seismologica Sinica,23(5): 492—501(in Chinese).
许忠淮,阎明,赵仲和.1983.由多个小地震推断的华北地区构造应力场的方向［J］.地震学报,5(3): 268—279.
XU Zhong-huai,YAN Ming,ZHAO Zhong-he.1983.Evaluation of the direction of tectonic stress in North China from recorded data of a large number of small earthquakes ［J］.Acta Seismologica Sinica,5(3): 268—279(in Chinese).
钟继茂,程万正.2006.由多个地震震源机制解求川滇地区平均应力场方向［J］.地震学报,28(4): 337—346.
Zhong Ji-mao,CHENG Wan-zheng.2006.Determination of directions of the mean stress field in Sichuan-Yunnan region from a number of focal mechanism solutions ［J］.Acta Seismologica Sinica,28(4): 337—346(in Chinese).
Aki K,Richards P G.1980.Quantitative Seismology,Volume I ［M］. W H Freeman,San Francisco. 512.
Angelier J.1979.Determination of the mean principal directions of stresses for a given population ［J］.Tectonophysics,56: 17—26.
Gephart J W,Forsyth D W.1984.An improved method for determining the regional stress tensor using earthquake focal mechanism data: Application to the San Fernando earthquake sequence ［J］.J Geophys Res,89(B11): 9305—9320.
Gillard D,Wyss M,Nakata J S.1992.A seismotectonic model for western Hawaii based on stress tensor inversion from fault plane solutions ［J］.J Geophys Res,97(B5): 6629—6641.
Gillard D,Wyss M, Okubo P.1996.Type of faulting and orientation of stress and strain as a function of space and time in Kilaueas south flank,Hawaii ［J］.J Geophys Res,101(B7): 16025—16042.
Hanks T C,Kanamori H.1979.A moment magnitude scale ［J］.J Geophys Res,84: 2348—2350.
Kagan Y Y.2007.Simplified algorithms for calculating double-couple rotation ［J］.Geophys J Int,171(1): 411—418.
Kanamori H.1977.The energy release in great earthquakes ［J］.J Geophys Res,82: 2981—2987.
Lu Z,Wyss M,Pulpan H.1997.Details of stress directions in the Alaska subduction zone from fault plane solutions ［J］.J Geophys Res,102(B3): 5385—5402.
Wan Yongge.2010.Contemporary tectonic stress field in China ［J］.Earthq Sci,23(4): 377—386.
Well D L,Coppersmith K J.1994.New empirical relationships among magnitude,rupture length,rupture width,rupture area,and surface displacement ［J］.Bull Seism Soc Amer,84: 974—1002.
Yamakawa N.1971.Stress field in focal regions ［J］.J Phys Earth,19: 347—353.
Zoback M L.1992.First- and second-order patterns of stress in the lithosphere: The world stress map project ［J］.J Geophys Res,97(B8): 11703—11728.

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