基于GPS观测的格林函数法研究汶川8.0级强震前构造应力场变化
|
摘要
通过格林第二内部积分公式导出地面位移与地壳内应力变化的关系,分析和讨论利用地面位移变化速率来计算地球内应力场变化的可能性和计算方法;最后,采用2001—2005和2004—2007年间在中国四川地区观测的GPS位移场速率数据,对汶川地震区震前地壳内深度为15km处的最大主应力、最大剪应力变化进行了计算分析。结果表明,四川地区地壳内的局部最大主压应力变化和最大剪应力变化区域与同期发生地震活动的区域具有较好的一致性。
Based on Green's second interior integration,the formulas to calculate interior stress variation from displacement velocity on earth surface is derived in this paper. The computed methods are discussed and analyzed. In the last,the maximum principal stress and shear in depth 15 km of the earth crust is computed by using GPS displacement velocity data observed from 2001 to 2005,2004 to 2007 in Sichuan region. The results show that both maximum compressional principal stress variation and shear locate in the area where moderate strong earthquake Ms=6.0 or larger than 6.0 occurred during the GPS observation.
Based on Green's second interior integration,the formulas to calculate interior stress variation from displacement velocity on earth surface is derived in this paper. The computed methods are discussed and analyzed. In the last,the maximum principal stress and shear in depth 15 km of the earth crust is computed by using GPS displacement velocity data observed from 2001 to 2005,2004 to 2007 in Sichuan region. The results show that both maximum compressional principal stress variation and shear locate in the area where moderate strong earthquake Ms=6.0 or larger than 6.0 occurred during the GPS observation.
引文
[1]SNAY R A,NEUGEBAUER H C,PRESCOTT W H.Horizontal Deformation Associated with the Loma Prieta Earthquake[J].Bull Seism Soc Amer,1991,81(5):1647-1659.
[2]CHI NG Kuoen,RAU Rueyjuin,LEEJiancheng,et al.Con-temporary Deformation of Tectonic Escape in SW Tai wan from GPS Observations,1995-2005[J].Earth and Planeta-ry Science Letters,2007,262(3-4):601-619.
[3]PEYRAT S,CAMPOS J,DE CHABALIER J B,et al.Tarapaca Intermediate-depth Earthquake(Mw7.7,2005,northern Chile):A slab-pull event with Horizontal Fault Plane Constrained fromSeismologic and Geodetic Observa-tions[J].Geophysical Research Letters,2006,33(22):1-6.
[4]JOHNSON K M,BURGMANN R,LARSON K.Friction-al Properties on the San Andreas Fault near Park Field,California,Inferredfrom Models of after Slip Following the2004Earthquake[J].Bulletin of the Seismological Society of America,2006,96(4B):S321-S338.
[5]HUANG Liren,GUO Liangqian.Crustal Horizontal Mo-tion Model and Its Features in Northern Part of North Chi-na:Preli minary Analysis of GPS Measurement Data[J].Crustal Deformation and Earthquake,1998,18(2):20-27.(黄立人,郭良迁.华北(北部)地区的地壳水平运动特征及其模型:GPS测量结果的初步分析[J].地壳形变与地震,1998,18(2):20-27.)
[6]WANG Qi,LAI Xian,YOU Xinzhao,et al.GPS Meas-urement and Present Tectonic Stress Field in the Honghe Fault,Southwest China[J].Crustal Deformation and Earthquake,1998,18(2):49-56.(王琪,赖锡安,游新兆,等.红河断裂的GPS监测与构造应力场[J].地壳形变与地震,1998,18(2):49-56.)
[7]HUANG Liren,MA Qing,GUO Liangqian,et al.The Mechanism of the Level Deformation in Parts of North China:The Analysis of3D Finite Element and the Result of GPS Repetition[J].Acta Seismological Sinica,1999,21(1):50-56.(黄立人,马青,郭良迁,等.华北部分地区水平变形的力学机制:三维有限元和GPS复测结果的分析[J].地震学报,1999,21(1):50-56.)
[8]GUAN Zelin,NI NG Jinsheng.Earth’s External Gravity Field and Shape[M].Beijing:Surveying and Mapping Press,1981.(管泽霖,宁津生.地球形状及外部重力场:上册[M].北京:测绘出版社,1981.)
[9]MINDLIN R D.Force at a Point inthe Interior of a Semi-infi-nitesolid[J].Journal of Applied Physics,1936,7:195-202.
[10]YAN Geng,DI NG Fangming.The Basic of Boundary Ele-ment Methods[M].Chongqing:Chongqing University Press,1986.(严更,丁方明.边界单元法基础[M].重庆:重庆大学出版社,1986.)
[11]BREBBI A C A.Progress in Boundary Element Methods:2[M].London:Pentech Press,1983:303.
[12]SONG Chenghua,XU Caijun,LI U Jingnan,et al.The Determination and Analyses of the Kenematic Model of Relative Motion between Blocksinthe Qinghai-Tibet Plat-eau by GPS Measurements[J].Journal of Wuhan Techni-cal University of Surveying and Mapping,1998,23(1):22-25.(宋成骅,许才军,刘经南,等.青藏高原块体相对运动模型的GPS方法确定与分析[J].武汉测绘科技大学学报,1998,23(1):22-25.)
[13]SHI Genghua,GOODMAN R E.Block Theory and Its Application to Rock Engineering[M].Englewood Cliffs:Prentice Hall,Inc,1985:295-324.
[14]REN Qingwen,YU Tiantang.Theory and Calculating Model of Block Element Method[J].Engineering Me-chanics,1999,16(1):68-77.(任青文,余天堂.块体单元法的理论和计算模型[J].工程力学,1999,16(1):68-77.)
[2]CHI NG Kuoen,RAU Rueyjuin,LEEJiancheng,et al.Con-temporary Deformation of Tectonic Escape in SW Tai wan from GPS Observations,1995-2005[J].Earth and Planeta-ry Science Letters,2007,262(3-4):601-619.
[3]PEYRAT S,CAMPOS J,DE CHABALIER J B,et al.Tarapaca Intermediate-depth Earthquake(Mw7.7,2005,northern Chile):A slab-pull event with Horizontal Fault Plane Constrained fromSeismologic and Geodetic Observa-tions[J].Geophysical Research Letters,2006,33(22):1-6.
[4]JOHNSON K M,BURGMANN R,LARSON K.Friction-al Properties on the San Andreas Fault near Park Field,California,Inferredfrom Models of after Slip Following the2004Earthquake[J].Bulletin of the Seismological Society of America,2006,96(4B):S321-S338.
[5]HUANG Liren,GUO Liangqian.Crustal Horizontal Mo-tion Model and Its Features in Northern Part of North Chi-na:Preli minary Analysis of GPS Measurement Data[J].Crustal Deformation and Earthquake,1998,18(2):20-27.(黄立人,郭良迁.华北(北部)地区的地壳水平运动特征及其模型:GPS测量结果的初步分析[J].地壳形变与地震,1998,18(2):20-27.)
[6]WANG Qi,LAI Xian,YOU Xinzhao,et al.GPS Meas-urement and Present Tectonic Stress Field in the Honghe Fault,Southwest China[J].Crustal Deformation and Earthquake,1998,18(2):49-56.(王琪,赖锡安,游新兆,等.红河断裂的GPS监测与构造应力场[J].地壳形变与地震,1998,18(2):49-56.)
[7]HUANG Liren,MA Qing,GUO Liangqian,et al.The Mechanism of the Level Deformation in Parts of North China:The Analysis of3D Finite Element and the Result of GPS Repetition[J].Acta Seismological Sinica,1999,21(1):50-56.(黄立人,马青,郭良迁,等.华北部分地区水平变形的力学机制:三维有限元和GPS复测结果的分析[J].地震学报,1999,21(1):50-56.)
[8]GUAN Zelin,NI NG Jinsheng.Earth’s External Gravity Field and Shape[M].Beijing:Surveying and Mapping Press,1981.(管泽霖,宁津生.地球形状及外部重力场:上册[M].北京:测绘出版社,1981.)
[9]MINDLIN R D.Force at a Point inthe Interior of a Semi-infi-nitesolid[J].Journal of Applied Physics,1936,7:195-202.
[10]YAN Geng,DI NG Fangming.The Basic of Boundary Ele-ment Methods[M].Chongqing:Chongqing University Press,1986.(严更,丁方明.边界单元法基础[M].重庆:重庆大学出版社,1986.)
[11]BREBBI A C A.Progress in Boundary Element Methods:2[M].London:Pentech Press,1983:303.
[12]SONG Chenghua,XU Caijun,LI U Jingnan,et al.The Determination and Analyses of the Kenematic Model of Relative Motion between Blocksinthe Qinghai-Tibet Plat-eau by GPS Measurements[J].Journal of Wuhan Techni-cal University of Surveying and Mapping,1998,23(1):22-25.(宋成骅,许才军,刘经南,等.青藏高原块体相对运动模型的GPS方法确定与分析[J].武汉测绘科技大学学报,1998,23(1):22-25.)
[13]SHI Genghua,GOODMAN R E.Block Theory and Its Application to Rock Engineering[M].Englewood Cliffs:Prentice Hall,Inc,1985:295-324.
[14]REN Qingwen,YU Tiantang.Theory and Calculating Model of Block Element Method[J].Engineering Me-chanics,1999,16(1):68-77.(任青文,余天堂.块体单元法的理论和计算模型[J].工程力学,1999,16(1):68-77.)
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心