| Citation: |
Wang Y J，Zhao X F，Wang J J，Wen Z P. 2025. The correlation between three components of ground motion at the same point based on the variance principal axis method. Acta Seismologica Sinica，47（2）：254−268. DOI: 10.11939/jass.20230085
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Based on near-field and far-field strong motion records from 11 moderate-to-large earthquakes, the study investigates the correlation of the three translational components of seismic ground motion using the variance principal axis method. And then the correlation is examined at different scales, with the characteristics of the correlation described at both the sample level and the statistical level.
By considering the time-varying characteristics of the principal axes, the ground motion records are divided into three segments: the ascending phase, the strong ground motion phase, and the descending phase. The study investigates the direction of the minor variance principal axis in these three phases. Both at the sample level and statistical level, it is found that the minor variance principal axis during the strong ground motion and descending phases is nearly vertical. However, the principal axis in the ascending phase exhibits a more complex variation and cannot simply be assumed to be vertical. Since the earthquake intensity during the ascending phase is typically lower or the duration is shorter, it can be approximated as vertical in engineering practice by ignoring the ascending phase.
Statistical analysis of parameters based on fault distance and site conditions indicates that the major variance principal axis in the horizontal plane follows an approximately uniform distribution. The direction of the major variance principal axis exhibits significant time-dependent variability and strong randomness in the horizontal plane, far exceeding its variability in the vertical direction. Statistically, the occurrence probability of the major variance principal axis in any direction is approximately equal, following a uniform distribution.
Detailed analysis of the 1999 Chi-Chi earthquake, the 2008 Wenchuan earthquake, and the 2018 Hualien earthquake indicates that in the near-fault region, a small subset of observation points exhibits approximately time-invariant characteristics for the variance principal axes, while many other stations show strong randomness in the direction of the variance principal axes. For the stations with nearly time-invariant principal axes, the orientation may be closely related to the source mechanism. In the vicinity of reverse faults, the major variance principal axis is oriented perpendicular to the fault strike, while in the vicinity of strike-slip faults, it is parallel to the fault strike. In near-fault regions with complex source mechanisms, there exist both components parallel and perpendicular to the fault strike.
|
胡聿贤. 2006. 地震工程学[M]. 北京:地震出版社:100−102.
|
|
Hu Y X. 2006. Earthquake Engineering[M]. Beijing:Seismological Press:100−102 (in Chinese).
|
|
李全旺,樊健生,聂建国. 2010. 地震动方向随机性对结构动力反应的影响[J]. 工程力学,27(12):135–140.
|
|
Li Q W,Fan J S,Nie J G. 2010. Effect of directional uncertainty of earthquake ground motion on structural responses[J]. Engineering Mechanics,27(12):135–140 (in Chinese).
|
|
吕红山,赵凤新. 2007. 适用于中国场地分类的地震动反应谱放大系数[J]. 地震学报,29(1):67–76. doi: 10.3321/j.issn:0253-3782.2007.01.008
|
|
Lü H S,Zhao F X. 2007. Site coefficients suitable to China site category[J]. Acta Seismologica Sinica,29(1):67–76 (in Chinese).
|
|
全伟. 2008. 大跨桥梁多维多点地震反应分析研究[D]. 大连:大连理工大学:3−4.
|
|
Quan W. 2008. Studies on Seismic Analysis of Large-Span Bridges Subjected to Multi-Component and Multi-Support Earthquake Excitations[D]. Dalian:Dalian University of Technology:3−4 (in Chinese).
|
|
全伟,李宏男. 2008. 曲线桥多维地震时程分析主方向研究[J]. 振动与冲击,27(8):20–24. doi: 10.3969/j.issn.1000-3835.2008.08.005
|
|
Quan W,Li H N. 2008. Research on critical angle of curved bridge in multi-dimensional earthquake time history analysis[J]. Journal of Vibration and Shock,27(8):20–24 (in Chinese).
|
|
柔洁,宋和平. 1990. 新疆乌恰7.4级地震余震加速度记录主轴方向的研究[J]. 中国地震,6(1):81–88.
|
|
Rou J,Song H P. 1990. A study on principal axis of strong aftershock acceleration record of the Waqia earthquake of MS7.4[J]. Earthquake Research in China,6(1):81–88 (in Chinese).
|
|
王君杰,黄勇,董正方,赵密. 2019. 城市轨道交通结构抗震设计[M]. 北京:中国建筑工业出版社:135−136.
|
|
Wang J J,Huang Y,Dong Z F,Zhao M. 2019. Seismic Design of Urban Rail Transit Structure[M]. Beijing:China Architecture & Building Press:135−136 (in Chinese).
|
|
谢俊举,温增平,高孟潭,胡聿贤,何少林. 2010. 2008年汶川地震近断层竖向与水平向地震动特征[J]. 地球物理学报,53(8):1796–1805. doi: 10.3969/j.issn.0001-5733.2010.08.005
|
|
Xie J J,Wen Z P,Gao M T,Hu Y X,He S L. 2010. Characteristics of near-fault vertical and horizontal ground motion from the 2008 Wenchuan earthquake[J]. Chinese Journal of Geophysics,53(8):1796–1805 (in Chinese).
|
|
谢礼立,翟长海. 2003. 最不利设计地震动研究[J]. 地震学报,25(3):250–261. doi: 10.3321/j.issn:0253-3782.2003.03.003
|
|
Xie L L,Zhai C H. 2003. Study on the severest real ground motion for seismic design and analysis[J]. Acta Seismologica Sinica,25(3):250–261 (in Chinese).
|
|
徐锡伟,闻学泽,叶建青,马保起,陈杰,周荣军,何宏林,田勤俭,何玉林,王志才,孙昭民,冯希杰,于贵华,陈立春,陈桂华,于慎鄂,冉勇康,李细光,李陈侠,安艳芬. 2008. 汶川MS8.0地震地表破裂带及其发震构造[J]. 地震地质,30(3):597–629. doi: 10.3969/j.issn.0253-4967.2008.03.003
|
|
Xu X W,Wen X Z,Ye J Q,Ma B Q,Chen J,Zhou R J,He H L,Tian Q J,He Y L,Wang Z C,Sun Z M,Feng X J,Yu G H,Chen L C,Chen G H,Yu S E,Ran Y K,Li X G,Li C X,An Y F. 2008. The MS8.0 Wenchuan earthquake surface ruptures and its seismogenic structure[J]. Seismology and Geology,30(3):597–629 (in Chinese).
|
|
赵晓芬,温增平,谢俊举,解全才,刘奕君. 2021. 2018年台湾花莲MW6.4地震近断层地震动方向性差异[J]. 振动与冲击,40(10):235–243.
|
|
Zhao X F,Wen Z P,Xie J J,Xie Q C,Liu Y J. 2021. Ground motion directionality in the 2018 Taiwan Hualien MW6.4 earthquake[J]. Journal of Vibration and Shock,40(10):235–243 (in Chinese).
|
|
Hong H P,Goda K. 2010. Characteristics of horizontal ground motion measures along principal directions[J]. Earthq Eng Eng Vib,9(1):9–22. doi: 10.1007/s11803-010-9048-x
|
|
Kojika B,Ohtani K,Katayama T. 1999. Characteristics of three-demensional strong ground motions along principal axes[C]//12th World Conference on Earthquake Engineering. Auckland:New Zealand National Society for Earthquake Engineering:1348−1355.
|
|
Kubo T,Penzien J. 1979. Simulation of three-dimensional strong ground motions along principal axes,San Fernando earthquake[J]. Earthq Eng Struct Dyn,7(3):279–294.
|
|
Lee S J,Lin T C,Liu T Y,Wong T P. 2019. Fault-to-fault jumping rupture of the 2018 MW6.4 Hualien earthquake in eastern Taiwan[J]. Seismol Res Lett,90(1):30–39. doi: 10.1785/0220180182
|
|
Li Y G. 2019. Earthquake and Disaster Risk:Decade Retrospective of the Wenchuan Earthquake[M]. Singapore:Higher Education Press:36−38.
|
|
Penzien J,Watabe M. 1974. Characteristics of 3-dimensional earthquake ground motions[J]. Earthq Eng Struct Dyn,3(4):365–373.
|
|
Phung V,Lau D,Hao H. 2006. Principal axes of strong ground motion records of the 1999 Chi-Chi,Taiwan earthquake[C]//4th International Conference on Earthquake Engineering. Taipei:NCREE:088.
|
|
Smeby W,der Kiureghian A. 1985. Modal combination rules for multicomponent earthquake excitation[J]. Earthq Eng Struct Dyn,13(1):1–12.
|
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