倾子资料三维共轭梯度反演研究
|
摘要
在对倾子响应和共轭梯度算法深入分析的基础上,我们实现了倾子资料三维共轭梯度反演算法.基于倾子资料的三维共轭梯度反演研究,探讨了利用倾子资料进行三维反演定量解释的方法.通过对理论模型合成数据进行反演试算,验证了所实现的倾子资料三维共轭梯度反演算法的有效性和稳定性.该反演算法可用于对大地电磁测深和地磁测深(地震地磁台站进行的三分量地磁观测)所整理出的倾子资料进行三维定量反演,获得地下三维模型的电阻率结构.
Based on the analysis of tipper response and the conjugate gradient algorithm,we develop a three-dimensional(3D) conjugate gradient inversion algorithm for inverting tipper data and discuss the quantitative interpretation method about tipper data.The synthetic example demonstrates the validity and stability of the 3D conjugate gradient inversion algorithm for inverting tipper data.This algorithm is suitable for inverting the tipper data acquired from the magnetotelluric sounding and geomagnetic deep sounding(tri-axis geomagnetism observation at the seismic geomagnetism station) to obtain 3D geoelectrical structure underground.
Based on the analysis of tipper response and the conjugate gradient algorithm,we develop a three-dimensional(3D) conjugate gradient inversion algorithm for inverting tipper data and discuss the quantitative interpretation method about tipper data.The synthetic example demonstrates the validity and stability of the 3D conjugate gradient inversion algorithm for inverting tipper data.This algorithm is suitable for inverting the tipper data acquired from the magnetotelluric sounding and geomagnetic deep sounding(tri-axis geomagnetism observation at the seismic geomagnetism station) to obtain 3D geoelectrical structure underground.
引文
[1]Berdichevsky M N,Dmitriev V I,Golubtsova N S,et al. Magnetovariational sounding:new possibilities,Izvestiya. Physics of the Solid Earth,2003,39:701-727
[2]Egbert G D,Booker J R.Robust estimation of geomagnetic transfer functions.G-eophys.J.R.astr.Soc.,1986,87:173-194
[3]胡文宝,苏朱刘,陈清礼等.倾子资料的特征及应用.石油地球物理勘探,1997,32(2):202-213 Hu W B,Su Z L,Chen Q L,et al.The characteristics and application of tipper data.Oil Geophysical Prospecting(in Chinese),1997,32(2):202-213
[4]张贵宾,申宁华.地磁三分量测深方法与长春、通化壳幔电性结构.地球物理学报,1994,37(S2):296-303 Zhang G B,Shen N H.Geomagnetic three-components depth sounding and the electrical conductivity of the crust and upper mantle in Changchun and Tonghua.Chinese J.Geophys.(in Chinese),1994,37(S2):296-303
[5]腾云田.现代地震地磁观测技术研究[博士论文].北京:中国地震局地球物理研究所,2001 Teng Y T.Study on modern technique of seismic and geomagnetic observation[Ph.D.thesis](in Chinese).Beijing: Institute of Geophysics,China Earthquake Administration,2001
[6]杜兴信,鲁秀玲.陕西地区单台Z/H地磁测深研究.地震地磁观测与研究,1995,16(1):202-213 Du X X,Lu X L.Research on the geomagnetic deep sounding in Shanxi region by single station Z/H method.Seismological and Geomagnetic Observation and Research(in Chinese),1995, 16(1):27--34
[7]陈小斌,赵国泽,詹艳等.磁倾子矢量的图示分析及其应用研究.地学前缘,2004,11(4):626-636 Chen X B,Zhao G Z,Zhan Y,et al.Analysis of tipper visual vectors and its application.Earth Science Frontiers(in Chinese),2004,11(4):626--636
[8]陈清礼,胡文宝,李金铭等.埋藏球体的倾子响应特征分析.石油天然气学报,2007,29(3):75-78 Chen Q L,Hu W B,Li J M,et al.Characteristics of tipper response of buried sphere.Journal of Oil and Gas Technology(in Chinese),2007,29(3):75-78
[9]余年,王绪本,阚瑷珂等.倾子和视倾子的研究及在断裂解释中的应用.工程地球物理学报,2007,4(4):275-281 Yu N,Wang X B,Han A K,et al.Study on tipper and apparent tipper & application in fault interpretation.Chinese Journal of Engineering Geophysics(in Chinese),2007,4 (4):275--281
[10]于鹏,吴健生,王家林等.利用长周期MT数据研究沪浙地区深部断裂结构.同济大学学报,2008,36(4):549-554 Yu P,Wu J S,Wang J L,et al.Long period magnetotelluric data-based study on deep fault structure in Shanghai and Zhejiang area.Journal of Tongji University(in Chinese), 2008,36(4):549-554
[11]Ledo J,Gabas A,Marcuello A.Static shift leveling using geomagnetic transfer functions.Earth Planets Space,2002, 54:493--498
[12]Siripunvaraporn W,Egbert G.An efficient data-subspace inversion method for 2 D magnetotelluric data.Geophysics, 2000,65:791-803
[13]Rodi W,Mackie R L.Nonlinear conjugate gradients algorithm for 2-D magnetotelluric inversion.Geophysics,2001,66:174-187
[14]Gabas A,Marcuello A.The relative influence of different types of magnetotelluric data on joint inversions.Earth Planets Space,2003,55:243-248
[15]Tuncer V,Unsworth M J,Siripunvaraporn W,et al. Exploration for unconformity type uranium deposits with audio-magnetotelluric data:A case study from the McArthur River Mine,Saskatchewan(Canada).Geophysics,2006,71 (6):201-209
[16]Becken M,Ritter O,Burkhardt H.Mode separation of magnetotelluric responses in three-dimensional environments. Geophys.J.Int.,2008,172:67-86
[17]Avdeev D B,Avdeeva A D.A rigorous three-dimensional magnetotelluric inversion.Progress in Electromagnetics Research, ??2006,62:41-48
[18]胡祖志,胡祥云,何展翔.大地电磁非线性共轭梯度拟三维反演.地球物理学报,2006,49(4):1226-1234 Hu Z Z,Hu X Y,He Z X.Pseudo-three-dimensional magnetotelluric inversion using nonlinear conjugate gradients. Chinese J.Geophys.(in Chinese),2006,49(4):1226-1234
[19]Lin C H,Tan H D,Tong T.Three-dimensional conjugate gradient inversion of magnetotelluric sounding data.Applied Geophysics,2008,5(4):314-321
[20]Lin C H,Tan H D,Tong T.Parallel rapid relaxation inversion of 3D magnetotelluric data.Applied Geophysics, 2009,6(1):77-83
[21]Mackie R L,Madden T R.Three-dimensional magnetotelluric inversion using conjugate gradients.Geophys.J.Int., 1993,115:215-229
[22]Newman G A,Alumbaugh D L.Three-dimensional magnetotelluric inversion using non-linear conjugate gradients.Geophys.J. Int.,2000,140:410-424
[23]Spichak V,Popova.Artificial neural network inversion of magnetotelluric data in terms of three-dimensional earth macroparameters.Geophys.J.Int.,2000,142:15-26
[24]Siripunvaraporn W,Egbert G,Lenbury Y,et al.Three- dimensional magnetotelluric inversion:data space method. Physics of the Earth and Planetary Interiors,2005,150 (1--3):3-14
[25]Smith J T,Booker J R.Rapid inversion of two- and three dimensional magnetotelluric data.J.Geophys.Res.,1991, 96:3905-3922
[26]谭捍东,余钦范,John Booker等.大地电磁法三维快速松弛反演.地球物理学报,2003,46(6):850-855 Tan H D,Yu Q F,Booker J,et al.Three dimensional rapid relaxation inversion for the magnetotelluric method.Chinese J.Geophys.(in Chinese),2003,46(6):850--855
[27]Zhdanov M S,Fang S,Hursan G.Electromagnetic inversion using quasi-linear approximation.Geophysics,2000,65(5): 1501-1513
[28]林昌洪,谭捍东,佟拓.利用大地电磁三维反演方法获得二维剖面附近三维电阻率结构的可行性.地球物理学报,2011, 54(1):245-256 Lin C H,Tan H D,Tong T.The possibility of obtaining nearby 3D resistivity structure from magnetotelluric 2D profile data using 3D inversion.Chinese J.Geophys.(in Chinese),2011,54(1):245-256
[29]谭捍东,魏文博,邓明等.大地电磁法张量阻抗通用计算公式.石油地球物理勘探,2004,39(1):114-116 Tan H D,Wei W B,Deng M,et al.General use formula in MT tensor impedance.Oil Geophysical Prospecting(in Chinese),2004,39(1):114-116
[30]谭捍东,余钦范,John Booker等.大地电磁法三维交错采样有限差分数值模拟.地球物理学报,2003,46(5):705-711 Tan H D,Yu Q F,Booker J,et al.Magnetotelluric three-dimensional modeling using the staggered-grid finite difference method.Chinese J.Geophys.(in Chinese),2003,46(5): 705-711
[2]Egbert G D,Booker J R.Robust estimation of geomagnetic transfer functions.G-eophys.J.R.astr.Soc.,1986,87:173-194
[3]胡文宝,苏朱刘,陈清礼等.倾子资料的特征及应用.石油地球物理勘探,1997,32(2):202-213 Hu W B,Su Z L,Chen Q L,et al.The characteristics and application of tipper data.Oil Geophysical Prospecting(in Chinese),1997,32(2):202-213
[4]张贵宾,申宁华.地磁三分量测深方法与长春、通化壳幔电性结构.地球物理学报,1994,37(S2):296-303 Zhang G B,Shen N H.Geomagnetic three-components depth sounding and the electrical conductivity of the crust and upper mantle in Changchun and Tonghua.Chinese J.Geophys.(in Chinese),1994,37(S2):296-303
[5]腾云田.现代地震地磁观测技术研究[博士论文].北京:中国地震局地球物理研究所,2001 Teng Y T.Study on modern technique of seismic and geomagnetic observation[Ph.D.thesis](in Chinese).Beijing: Institute of Geophysics,China Earthquake Administration,2001
[6]杜兴信,鲁秀玲.陕西地区单台Z/H地磁测深研究.地震地磁观测与研究,1995,16(1):202-213 Du X X,Lu X L.Research on the geomagnetic deep sounding in Shanxi region by single station Z/H method.Seismological and Geomagnetic Observation and Research(in Chinese),1995, 16(1):27--34
[7]陈小斌,赵国泽,詹艳等.磁倾子矢量的图示分析及其应用研究.地学前缘,2004,11(4):626-636 Chen X B,Zhao G Z,Zhan Y,et al.Analysis of tipper visual vectors and its application.Earth Science Frontiers(in Chinese),2004,11(4):626--636
[8]陈清礼,胡文宝,李金铭等.埋藏球体的倾子响应特征分析.石油天然气学报,2007,29(3):75-78 Chen Q L,Hu W B,Li J M,et al.Characteristics of tipper response of buried sphere.Journal of Oil and Gas Technology(in Chinese),2007,29(3):75-78
[9]余年,王绪本,阚瑷珂等.倾子和视倾子的研究及在断裂解释中的应用.工程地球物理学报,2007,4(4):275-281 Yu N,Wang X B,Han A K,et al.Study on tipper and apparent tipper & application in fault interpretation.Chinese Journal of Engineering Geophysics(in Chinese),2007,4 (4):275--281
[10]于鹏,吴健生,王家林等.利用长周期MT数据研究沪浙地区深部断裂结构.同济大学学报,2008,36(4):549-554 Yu P,Wu J S,Wang J L,et al.Long period magnetotelluric data-based study on deep fault structure in Shanghai and Zhejiang area.Journal of Tongji University(in Chinese), 2008,36(4):549-554
[11]Ledo J,Gabas A,Marcuello A.Static shift leveling using geomagnetic transfer functions.Earth Planets Space,2002, 54:493--498
[12]Siripunvaraporn W,Egbert G.An efficient data-subspace inversion method for 2 D magnetotelluric data.Geophysics, 2000,65:791-803
[13]Rodi W,Mackie R L.Nonlinear conjugate gradients algorithm for 2-D magnetotelluric inversion.Geophysics,2001,66:174-187
[14]Gabas A,Marcuello A.The relative influence of different types of magnetotelluric data on joint inversions.Earth Planets Space,2003,55:243-248
[15]Tuncer V,Unsworth M J,Siripunvaraporn W,et al. Exploration for unconformity type uranium deposits with audio-magnetotelluric data:A case study from the McArthur River Mine,Saskatchewan(Canada).Geophysics,2006,71 (6):201-209
[16]Becken M,Ritter O,Burkhardt H.Mode separation of magnetotelluric responses in three-dimensional environments. Geophys.J.Int.,2008,172:67-86
[17]Avdeev D B,Avdeeva A D.A rigorous three-dimensional magnetotelluric inversion.Progress in Electromagnetics Research, ??2006,62:41-48
[18]胡祖志,胡祥云,何展翔.大地电磁非线性共轭梯度拟三维反演.地球物理学报,2006,49(4):1226-1234 Hu Z Z,Hu X Y,He Z X.Pseudo-three-dimensional magnetotelluric inversion using nonlinear conjugate gradients. Chinese J.Geophys.(in Chinese),2006,49(4):1226-1234
[19]Lin C H,Tan H D,Tong T.Three-dimensional conjugate gradient inversion of magnetotelluric sounding data.Applied Geophysics,2008,5(4):314-321
[20]Lin C H,Tan H D,Tong T.Parallel rapid relaxation inversion of 3D magnetotelluric data.Applied Geophysics, 2009,6(1):77-83
[21]Mackie R L,Madden T R.Three-dimensional magnetotelluric inversion using conjugate gradients.Geophys.J.Int., 1993,115:215-229
[22]Newman G A,Alumbaugh D L.Three-dimensional magnetotelluric inversion using non-linear conjugate gradients.Geophys.J. Int.,2000,140:410-424
[23]Spichak V,Popova.Artificial neural network inversion of magnetotelluric data in terms of three-dimensional earth macroparameters.Geophys.J.Int.,2000,142:15-26
[24]Siripunvaraporn W,Egbert G,Lenbury Y,et al.Three- dimensional magnetotelluric inversion:data space method. Physics of the Earth and Planetary Interiors,2005,150 (1--3):3-14
[25]Smith J T,Booker J R.Rapid inversion of two- and three dimensional magnetotelluric data.J.Geophys.Res.,1991, 96:3905-3922
[26]谭捍东,余钦范,John Booker等.大地电磁法三维快速松弛反演.地球物理学报,2003,46(6):850-855 Tan H D,Yu Q F,Booker J,et al.Three dimensional rapid relaxation inversion for the magnetotelluric method.Chinese J.Geophys.(in Chinese),2003,46(6):850--855
[27]Zhdanov M S,Fang S,Hursan G.Electromagnetic inversion using quasi-linear approximation.Geophysics,2000,65(5): 1501-1513
[28]林昌洪,谭捍东,佟拓.利用大地电磁三维反演方法获得二维剖面附近三维电阻率结构的可行性.地球物理学报,2011, 54(1):245-256 Lin C H,Tan H D,Tong T.The possibility of obtaining nearby 3D resistivity structure from magnetotelluric 2D profile data using 3D inversion.Chinese J.Geophys.(in Chinese),2011,54(1):245-256
[29]谭捍东,魏文博,邓明等.大地电磁法张量阻抗通用计算公式.石油地球物理勘探,2004,39(1):114-116 Tan H D,Wei W B,Deng M,et al.General use formula in MT tensor impedance.Oil Geophysical Prospecting(in Chinese),2004,39(1):114-116
[30]谭捍东,余钦范,John Booker等.大地电磁法三维交错采样有限差分数值模拟.地球物理学报,2003,46(5):705-711 Tan H D,Yu Q F,Booker J,et al.Magnetotelluric three-dimensional modeling using the staggered-grid finite difference method.Chinese J.Geophys.(in Chinese),2003,46(5): 705-711
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