大地电磁二维反演方法分析对比
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摘要
基于地球物理正则化反演理论,详细给出了目前常用的三种大地电磁(MT)二维反演方法——奥可姆法(OCCAM)、简化基奥可姆法(REBOCC)和非线性共轭梯度法(NLCG)的理论基础.设计了两个理论地电模型,一个是高、低阻体组合模型,另一个是断裂模型,使用这三种MT二维反演方法分别对TE极化模式、TM极化模式以及TE&TM极化模式响应数据进行了反演,对反演结果进行对比分析,考察了不同的反演方法以及不同的极化模式对反演结果的影响.研究结果表明:三种反演方法有各自的特点,使用不同的极化模式数据反演将会得到不同的反演效果.
Based on the geophysics regularity inversion theories,we detail the theory of the common three different MT 2D inversion methods——OCCAM,REBOCC and NLCG. At the same time,we design two synthetic geoeletric mode, the one is High-low combination mode,the other one is the Fault mode. The data of the TE mode,TM mode and TE&TM mode are inversed using OCCAM,REBOCC and NLCG mothods. The results of the resistivity profile were compared and analyzed. We investigate the influce of inversion results,which use different MT 2D inversion methods and which use data under the different modes. The results prove that OCCAM,REBOCC and NLCG all have themselfs character,using the data of different modes inversed will get different effects.
Based on the geophysics regularity inversion theories,we detail the theory of the common three different MT 2D inversion methods——OCCAM,REBOCC and NLCG. At the same time,we design two synthetic geoeletric mode, the one is High-low combination mode,the other one is the Fault mode. The data of the TE mode,TM mode and TE&TM mode are inversed using OCCAM,REBOCC and NLCG mothods. The results of the resistivity profile were compared and analyzed. We investigate the influce of inversion results,which use different MT 2D inversion methods and which use data under the different modes. The results prove that OCCAM,REBOCC and NLCG all have themselfs character,using the data of different modes inversed will get different effects.
引文
Chen L S,Wang G E.1990.Method of magnetotelluric sounding[M].Beijing:Geological Publishing House.
Chen X B,Zhao G Z,Tang J,et al.2005.An adaptive regularized inversion algorithm for magnetotelluric data[J].Chinese Journal of Geophysics(in Chinese),48(4):937-946,doi:10.3321/j.issn:0001-5733.2005.04.029.
Constable S C,Parker R L,Constable C G.1987.Occam’s inversion:A practical algorithm for generating smooth models from electromagnetic sounding data[J].Geophysics,52(3):289-300.
Dai S K,Xu S Z.1997.Rapid Inversion of magnetotelluric data for 2-Dand 3-D continuous media[J].Oil Geophysical Prospecting(in Chinese),32(3):305-317.
De Groot-Hedlin C,Constable S.1990.Occam’s inversion to generate smooth,two-dimensional models from magnetotelluric data[J].Geophysics,55(12):1613-1624.
Han B,Hu X Y,He Z X,et al.2012.Mathematical classification of magnetotelluric inversion methods[J].Oil Geophysical Prospecting(in Chinese),47(1):177-187.
Hu X Y,Li Y,Yang W C,et al.2012.Three-dimensional magnetotelluic parallel inversion algorithm using data space method[J].Chinese Journal of Geophysics(in Chinese),55(12):3969-3978,doi:10.6038/j.issn.0001-5733.2012.12.009.
Hu Z Z,Hu X Y,Yang W C,et al.2005.Compared study of twodimensional magnetotelluric inversion methods[J].Coal Geology&Exploration(in Chinese),33(1):64-68.
Hu Z Z,Chen Y,He Z X,et al.2010.MT parallel simulated annealing constrained inversion and its application[J].Oil Geophysical Prospecting(in Chinese),45(4):597-601.
Hu Z Z,He Z X,Yang W C,et al.2015.Constrained inversion of magnetotelluric data with the artificial fish swarm optimization method[J].Chinese Journal of Geophysics(in Chinese),58(7):2578-2587,doi:10.6038/cjg20150732.
Li X L.2003.A new intelligent optimization method-artificial fish school algorithm(in Chinese)[Ph.D.thesis].Hangzhou:Zhejiang University.
Liu G D,Chen L S.1984.Magnetotelluric sounding study(in Chinese)[M].Beijing:Seismological Press.
Liu J X,Tong X Z,Guo R W,et al.2012.The magnetotelluric sounding prospecting-data processing,inversion and interpretation(in Chinese)[M].Beijing:Science Press.
Liu X J,Wang J L,Chen B,et al.2007.Discussion on focus inversion algorithm of 2-D MT data[J].Oil Geophysical Prospecting(in Chinese),42(3):338-342.
Luo H M,Wang J Y,Shi X M,et al.2007.Quantum path integral algorithm and its application in magnetotelluric inversion[J].Chinese Journal of Geophysics(in Chinese),50(4):1268-1276,doi:10.3321/j.issn:0001-5733.2007.04.037.
Luo H M,Wang J Y,Zhu P M,et al.2009.Quantum genetic algorithm and its application in magnetotelluric data inversion[J].Chinese Journal of Geophysics(in Chinese),52(1):260-267.
Rodi W L,Mackie R L.2001.Nonlinear conjugate gradients algorithm for 2-D magnetotelluric inversion[J].Geophysics,66(1):174-187.
Siripunvaraporn W,Egbert G.2000.An efficient data-subspace inversion method for 2-D magnetotelluric data[J].Geophysics,65(3):791-803.
Smith J T,Booker J R.1991.Rapid inversion of two-and threedimensional magnetotelluric data[J].J.Geophys.Res.,96(B3):3905-3922.
Smith T,Hoversten M,Gasperikova E,et al.1999.Sharp boundary inversion of 2D magnetotelluric data[J].Geophysical Prospecting,47(4):469-486.
Tan H D,Yu Q F,Booker J,et al.2003.Three-dimensional rapid relaxation inversion for the magnetotelluric method[J].Chinese Journal of Geophysics(in Chinese),46(6):850-854,doi:10.3321/j.issn:0001-5733.2003.06.019.
Uchida T.1993.Smooth 2-D inversion for magnetotelluric data based on statistical criterion ABIC[J].Journal of Geomagnetism and Geoelectricity,45(9):841-858.
Wang J Y.1997.New development of magnetotelluric sounding in China[J].Acta Geophysica Sinica(in Chinese),40(S1):206-216.
Xu Y X,Wang J Y.1998.A multiresolution inversion of onedimensional magnetotelluric data[J].Acta Geophysica Sinica(in Chinese),41(5):704-711.
Yi M J,Kim J H,Chung S H.2003.Enhancing the resolving power of least-squares inversion with active constraint balancing[J].Geophysics,68(3):931-941.
陈乐寿,王光锷.1990.大地电磁测深法[M].北京:地质出版社.
陈小斌,赵国泽,汤吉,等.2005.大地电磁自适应正则化反演算法[J].地球物理学报,48(4):937-946,doi:10.3321/j.issn:0001-5733.2005.04.029.
戴世坤,徐世浙.1997.MT二维和三维连续介质快速反演[J].石油地球物理勘探,32(3):305-317.
韩波,胡祥云,何展翔,等.2012.大地电磁反演方法的数学分类[J].石油地球物理勘探,47(1):177-187.
胡祥云,李焱,杨文采,等.2012.大地电磁三维数据空间反演并行算法研究[J].地球物理学报,55(12):3969-3978,doi:10.6038/j.issn.0001-5733.2012.12.009.
胡祖志,胡祥云,吴文鹂,等.2005.大地电磁二维反演方法对比研究[J].煤田地质与勘探,33(1):64-68.
胡祖志,陈英,何展翔,等.2010.大地电磁并行模拟退火约束反演及应用[J].石油地球物理勘探,45(4):597-601.
胡祖志,何展翔,杨文采,等.2015.大地电磁的人工鱼群最优化约束反演[J].地球物理学报,58(7):2578-2587,doi:10.6038/cjg20150732.
李晓磊.2003.一种新型的智能优化方法-人工鱼群算法[博士论文].杭州:浙江大学.
刘国栋,陈乐寿.1984.大地电磁测深研究[M].北京:地震出版社.
柳建新,童孝忠,郭荣文,等.2012.大地电磁测深法勘探:资料处理、反演与解释[M].北京:科学出版社.
刘小军,王家林,陈冰,等.2007.二维大地电磁数据的聚焦反演算法探讨[J].石油地球物理勘探,42(3):338-342.
罗红明,王家映,师学明,等.2007.量子路径积分算法及其在大地电磁反演中的应用[J].地球物理学报,50(4):1268-1276,doi:10.3321/j.issn:0001-5733.2007.04.037.
罗红明,王家映,朱培民,等.2009.量子遗传算法在大地电磁反演中的应用[J].地球物理学报,52(1):260-267.
谭捍东,余钦范,Booker J,等.2003.大地电磁法三维快速松弛反演[J].地球物理学报,46(6):850-854,doi:10.3321/j.issn:0001-5733.2003.06.019.
王家映.1997.我国大地电磁测深研究新进展[J].地球物理学报,40(S1):206-216.
徐义贤,王家映.1998.大地电磁的多尺度反演[J].地球物理学报,41(5):704-711.
Chen X B,Zhao G Z,Tang J,et al.2005.An adaptive regularized inversion algorithm for magnetotelluric data[J].Chinese Journal of Geophysics(in Chinese),48(4):937-946,doi:10.3321/j.issn:0001-5733.2005.04.029.
Constable S C,Parker R L,Constable C G.1987.Occam’s inversion:A practical algorithm for generating smooth models from electromagnetic sounding data[J].Geophysics,52(3):289-300.
Dai S K,Xu S Z.1997.Rapid Inversion of magnetotelluric data for 2-Dand 3-D continuous media[J].Oil Geophysical Prospecting(in Chinese),32(3):305-317.
De Groot-Hedlin C,Constable S.1990.Occam’s inversion to generate smooth,two-dimensional models from magnetotelluric data[J].Geophysics,55(12):1613-1624.
Han B,Hu X Y,He Z X,et al.2012.Mathematical classification of magnetotelluric inversion methods[J].Oil Geophysical Prospecting(in Chinese),47(1):177-187.
Hu X Y,Li Y,Yang W C,et al.2012.Three-dimensional magnetotelluic parallel inversion algorithm using data space method[J].Chinese Journal of Geophysics(in Chinese),55(12):3969-3978,doi:10.6038/j.issn.0001-5733.2012.12.009.
Hu Z Z,Hu X Y,Yang W C,et al.2005.Compared study of twodimensional magnetotelluric inversion methods[J].Coal Geology&Exploration(in Chinese),33(1):64-68.
Hu Z Z,Chen Y,He Z X,et al.2010.MT parallel simulated annealing constrained inversion and its application[J].Oil Geophysical Prospecting(in Chinese),45(4):597-601.
Hu Z Z,He Z X,Yang W C,et al.2015.Constrained inversion of magnetotelluric data with the artificial fish swarm optimization method[J].Chinese Journal of Geophysics(in Chinese),58(7):2578-2587,doi:10.6038/cjg20150732.
Li X L.2003.A new intelligent optimization method-artificial fish school algorithm(in Chinese)[Ph.D.thesis].Hangzhou:Zhejiang University.
Liu G D,Chen L S.1984.Magnetotelluric sounding study(in Chinese)[M].Beijing:Seismological Press.
Liu J X,Tong X Z,Guo R W,et al.2012.The magnetotelluric sounding prospecting-data processing,inversion and interpretation(in Chinese)[M].Beijing:Science Press.
Liu X J,Wang J L,Chen B,et al.2007.Discussion on focus inversion algorithm of 2-D MT data[J].Oil Geophysical Prospecting(in Chinese),42(3):338-342.
Luo H M,Wang J Y,Shi X M,et al.2007.Quantum path integral algorithm and its application in magnetotelluric inversion[J].Chinese Journal of Geophysics(in Chinese),50(4):1268-1276,doi:10.3321/j.issn:0001-5733.2007.04.037.
Luo H M,Wang J Y,Zhu P M,et al.2009.Quantum genetic algorithm and its application in magnetotelluric data inversion[J].Chinese Journal of Geophysics(in Chinese),52(1):260-267.
Rodi W L,Mackie R L.2001.Nonlinear conjugate gradients algorithm for 2-D magnetotelluric inversion[J].Geophysics,66(1):174-187.
Siripunvaraporn W,Egbert G.2000.An efficient data-subspace inversion method for 2-D magnetotelluric data[J].Geophysics,65(3):791-803.
Smith J T,Booker J R.1991.Rapid inversion of two-and threedimensional magnetotelluric data[J].J.Geophys.Res.,96(B3):3905-3922.
Smith T,Hoversten M,Gasperikova E,et al.1999.Sharp boundary inversion of 2D magnetotelluric data[J].Geophysical Prospecting,47(4):469-486.
Tan H D,Yu Q F,Booker J,et al.2003.Three-dimensional rapid relaxation inversion for the magnetotelluric method[J].Chinese Journal of Geophysics(in Chinese),46(6):850-854,doi:10.3321/j.issn:0001-5733.2003.06.019.
Uchida T.1993.Smooth 2-D inversion for magnetotelluric data based on statistical criterion ABIC[J].Journal of Geomagnetism and Geoelectricity,45(9):841-858.
Wang J Y.1997.New development of magnetotelluric sounding in China[J].Acta Geophysica Sinica(in Chinese),40(S1):206-216.
Xu Y X,Wang J Y.1998.A multiresolution inversion of onedimensional magnetotelluric data[J].Acta Geophysica Sinica(in Chinese),41(5):704-711.
Yi M J,Kim J H,Chung S H.2003.Enhancing the resolving power of least-squares inversion with active constraint balancing[J].Geophysics,68(3):931-941.
陈乐寿,王光锷.1990.大地电磁测深法[M].北京:地质出版社.
陈小斌,赵国泽,汤吉,等.2005.大地电磁自适应正则化反演算法[J].地球物理学报,48(4):937-946,doi:10.3321/j.issn:0001-5733.2005.04.029.
戴世坤,徐世浙.1997.MT二维和三维连续介质快速反演[J].石油地球物理勘探,32(3):305-317.
韩波,胡祥云,何展翔,等.2012.大地电磁反演方法的数学分类[J].石油地球物理勘探,47(1):177-187.
胡祥云,李焱,杨文采,等.2012.大地电磁三维数据空间反演并行算法研究[J].地球物理学报,55(12):3969-3978,doi:10.6038/j.issn.0001-5733.2012.12.009.
胡祖志,胡祥云,吴文鹂,等.2005.大地电磁二维反演方法对比研究[J].煤田地质与勘探,33(1):64-68.
胡祖志,陈英,何展翔,等.2010.大地电磁并行模拟退火约束反演及应用[J].石油地球物理勘探,45(4):597-601.
胡祖志,何展翔,杨文采,等.2015.大地电磁的人工鱼群最优化约束反演[J].地球物理学报,58(7):2578-2587,doi:10.6038/cjg20150732.
李晓磊.2003.一种新型的智能优化方法-人工鱼群算法[博士论文].杭州:浙江大学.
刘国栋,陈乐寿.1984.大地电磁测深研究[M].北京:地震出版社.
柳建新,童孝忠,郭荣文,等.2012.大地电磁测深法勘探:资料处理、反演与解释[M].北京:科学出版社.
刘小军,王家林,陈冰,等.2007.二维大地电磁数据的聚焦反演算法探讨[J].石油地球物理勘探,42(3):338-342.
罗红明,王家映,师学明,等.2007.量子路径积分算法及其在大地电磁反演中的应用[J].地球物理学报,50(4):1268-1276,doi:10.3321/j.issn:0001-5733.2007.04.037.
罗红明,王家映,朱培民,等.2009.量子遗传算法在大地电磁反演中的应用[J].地球物理学报,52(1):260-267.
谭捍东,余钦范,Booker J,等.2003.大地电磁法三维快速松弛反演[J].地球物理学报,46(6):850-854,doi:10.3321/j.issn:0001-5733.2003.06.019.
王家映.1997.我国大地电磁测深研究新进展[J].地球物理学报,40(S1):206-216.
徐义贤,王家映.1998.大地电磁的多尺度反演[J].地球物理学报,41(5):704-711.