矿井巷道-钻孔瞬变电磁二维拟地震反演方法及应用
|
摘要
采空巷道严重威胁煤矿安全和矿工生命,因其体积规模较小,常规物探对其探测精度较差,钻探手段也很难准确命中目标,为解决采空巷道的精细探测问题,提出一种煤矿井下巷道-钻孔瞬变电磁探测方法。该方法属于一种定源动接收的二维工作方法,通过在孔口布设一固定不动的发射线框,在孔内沿钻孔移动接收探头进行三分量观测,进而实现对钻孔径向低阻地质异常体的高精度探测。该装置观测曲线形态复杂,反演难度大。通过基于CPU+GPU异步并行的时域有限差分三维数值模拟分析了其数据特征,提出了结合分时段和全时段波场反变换算法2者优势的基于相关的滑动时窗波场反变换算法对数据进行高精度波场转换,研究了二维装置的虚拟波场时距曲线特征,得出了相应的动校正算法,采用等效导电平面法构建了初始速度模型,最终在虚拟声波介质假设下通过共轭梯度全波形反演技术实现了巷道-钻孔瞬变电磁数据的拟地震反演。计算了三维数值模拟、水槽物理模拟和井下现场模拟资料的反演结果,对钻孔径向的小规模异常体取得了良好的成像效果。结合山西煤矿井下的工程实践,对该方法精细探测积水采空巷道性质、形态和规模的实用性和有效性进行了检验。研究表明:巷道-钻孔瞬变电磁探测方法是井下物探与钻探的有机结合与相互补充,能够有效应用于积水采空巷道探测。
Goaf roadway poses a vital threat to coal mine safety and miner's life.The scale of the goaf roadway volume is relatively small,therefore,the ordinary geophysical prospecting method can hardly detect it accurately.Also,the drilling method can rarely hit the target precisely.For the purpose of detecting the goaf roadway more precisely,a roadwayborehole transient electromagnetic method( TEM),belonging to a 2 D operating method with fixed source and dynamic reception device,was proposed.This method,by arranging a fixed transmission cable over the borehole and shifting a receiving probe along the borehole to implement three-component observation,realized a high-precision detection for the borehole radial geological anomalous bodies.The device,with more complex observation curve,had harder inversion difficulties.By analyzing the data characteristics adopting asynchronous parallel GPU plus CPU finite-different time-domain 3 D numerical simulation method,this paper presented a related sliding time window wave-field inverse transformation algorithm,combined the both advantages of time segmentation and full time wave-field transformation algorithm,to transform data with higher accuracy.By studying the characteristics of time-distance curve of 2 D transient electromagnetic virtual wave field data,a corresponding dynamic correction algorithm was derived.By adopting equivalent conductive plane method,initial velocity model was constructed.Ultimately,based on virtual acoustic medium hypothesis,the roadway-borehole TEM data pseudo-seismic inversion was realized by the means of conjugate gradient full-waveform inversion technique.The inversion results of 3 D numerical simulation,flume simulation experiment and coalmine on-site simulation data showed that it had acquired favorable effect in exploring small-scale anomalous body on the radial direction of the borehole.In order to test the practicability and availability of this operating method in detecting water-logged goaf roadway's shape,characteristics and scale,the author's research group has conducted an case study in Shanxi's coal mine. The research showed that the roadway-borehole TEM detection method is a great combination to underground geophysical exploration technology and drilling technology,and to make them supplement to each other.It is an effective application in goaf roadway with water detection.
Goaf roadway poses a vital threat to coal mine safety and miner's life.The scale of the goaf roadway volume is relatively small,therefore,the ordinary geophysical prospecting method can hardly detect it accurately.Also,the drilling method can rarely hit the target precisely.For the purpose of detecting the goaf roadway more precisely,a roadwayborehole transient electromagnetic method( TEM),belonging to a 2 D operating method with fixed source and dynamic reception device,was proposed.This method,by arranging a fixed transmission cable over the borehole and shifting a receiving probe along the borehole to implement three-component observation,realized a high-precision detection for the borehole radial geological anomalous bodies.The device,with more complex observation curve,had harder inversion difficulties.By analyzing the data characteristics adopting asynchronous parallel GPU plus CPU finite-different time-domain 3 D numerical simulation method,this paper presented a related sliding time window wave-field inverse transformation algorithm,combined the both advantages of time segmentation and full time wave-field transformation algorithm,to transform data with higher accuracy.By studying the characteristics of time-distance curve of 2 D transient electromagnetic virtual wave field data,a corresponding dynamic correction algorithm was derived.By adopting equivalent conductive plane method,initial velocity model was constructed.Ultimately,based on virtual acoustic medium hypothesis,the roadway-borehole TEM data pseudo-seismic inversion was realized by the means of conjugate gradient full-waveform inversion technique.The inversion results of 3 D numerical simulation,flume simulation experiment and coalmine on-site simulation data showed that it had acquired favorable effect in exploring small-scale anomalous body on the radial direction of the borehole.In order to test the practicability and availability of this operating method in detecting water-logged goaf roadway's shape,characteristics and scale,the author's research group has conducted an case study in Shanxi's coal mine. The research showed that the roadway-borehole TEM detection method is a great combination to underground geophysical exploration technology and drilling technology,and to make them supplement to each other.It is an effective application in goaf roadway with water detection.
引文
[1] DU Wenfeng,PENG Suping,ZHU Guowei,et al. Time-lapse geophysical technology-based study on overburden strata changes induced by modern coal mining[J].International Journal of Coal Science&Technology,2014,1(2):184-191.
[2]刘菁华,王祝文,朱士,等.煤矿采空区及塌陷区的地球物理探查[J].煤炭学报,2005,30(6):715-719.LIU Jinghua,WANG Zhuwen,ZHU Shi,et al.The geophysical exploration about exhausted area and sinking area in coal mine[J]. Journal of China Coal Society,2005,30(6):715-719.
[3]程建远,孙洪星,赵庆彪,等.老窑采空区的探测技术与实例研究[J].煤炭学报,2008,33(3):251-255.CHENG Jianyuan,SUN Hongxing,ZHAO Qingbiao,et al.The detection technology of excavated region in coal mine and case study[J].Journal of China Coal Society,2008,33(3):251-255.
[4]陈卫营,薛国强.瞬变电磁法多装置探测技术在煤矿采空区调查中的应用[J].地球物理学进展,2013,28(5):2709-2717.CHEN Weiying,XUE Guoqiang. Application on coal-mine voids detection with multi-device TEM technology[J]. Progress in Geophysics,2013,28(5):2709-2717.
[5]苏彦丁.瞬变电磁法在山西某煤矿采空巷道探测中的应用[J].勘察科学技术,2015(5):55-57,60.SU Yanding.Application of transient electromagnetic method in goaf roadway detection in a coal mine in Shanxi Province[J].Site Investigation Science and Technology,2015(5):55-57,60.
[6]王季.反射槽波探测采空巷道的实验与方法[J].煤炭学报,2015,40(8):1879-1885.WANG Ji. Experiment and method of void roadway detection using reflected in-seam wave[J]. Journal of China Coal Society,2015,40(8):1879-1885.
[7]范涛,赵兆,吴海,等.矿井瞬变电磁多匝回线电感影响消除及曲线偏移研究[J].煤炭学报,2014,39(5):932-940.FAN Tao,ZHAO Zhao,WU Hai,et al.Research on inductance effect removing and curve offset for mine TEM with multi small loops[J].Journal of China Coal Society,2014,39(5):932-940.
[8] MACNAE J,STALTARI G.Classification of sign changes in Borehole TEM decays[J].Exploration Geophysics,1987,18:331-339.
[9]徐正玉,杨海燕,邓居智,等.垂直接触带影响下地-井瞬变电磁响应研究[J].地球物理学进展,2015,30(3):1345-1353.XU Zhengyu,YANG Haiyan,DENG Juzhi,et al. Research on response of down-hole TEM by vertical sheet[J].Progress in Geophysics,2015,30(3):1345-1353.
[10]武军杰,李貅,智庆全,等.电性源地-井瞬变电磁法三分量响应特征分析[J].地球物理学进展,2017,32(3):1273-1278.WU Junjie,LI Xiu,ZHI Qingquan,et al. Analysis of three component TEM response characteristic of electric source dill hole TEM[J].Progress in Geophysics,32(3):1273-1278.
[11] WEST R C,WARD S H. The borehole transient EM of a three-dimensional fractured zone in a conductive half space[J].Geophysics,1988,53:1469-1478.
[12]孟庆鑫,潘和平.地-井瞬变电磁响应特征数值模拟分析[J].地球物理学报,2012,55(3):1046-1053.MENG Qingxin,PAN Heping.Numerical simulation analysis of surface-hole TEM responses[J].Chinese Journal of Geophysics,2012,55(3):1046-1053.
[13]杨海燕,徐正玉,岳建华,等.覆盖层下三维板状体地-井瞬变电磁响应[J].物探与化探,2016,40(1):190-196.YANG Haiyan XU Zhengyu,YUE Jianhua,et al. 3D inclined conductor behavior of down-hole transient electromagnetic method with overburden layer[J]. Geophysical and Geochemical Exploration,2016,40(1):190-196.
[14] BUSELLI G,LEE S K.Modelling of drillhole TEM responses from multiple targets covered by a conductive overburden[J]. Exploration Geophysics,1996,27:141-153.
[15] DYCK A V,WEST G F.The role of simple computer models in interpretation of wideband,drill-hole electromagnetic surveys in mineral exploration[J].Geophysics,1984,49:957-980.
[16]张杰.地-井瞬变电磁异常特征分析及矢量交会解释方法研究[D].北京:中国地质大学(北京),2009.ZHANG Jie.Analysis of anomalous character and study vector intersection for downhole transient electromagnetic method[D].Beijing:China University of Geosciences(Beijing),2009.
[17] HEE J K,KI H L,MICHAEL W A.Fast inversion method for interpreting borehole electromagnetic data[J]. Earth Planets Space,2003,55:249-254.
[18]杨毅,邓晓红,张杰,等.一种井中瞬变电磁异常反演方法[J].物探与化探,2014,38(4):855-859,864.YANG Yi,DENG Xiaohong,ZHANG Jie,et al. A borehole TEM anomaly inversion method[J]. Geophysical and Geochemical Exploration,2014,38(4):855-859,864.
[19] VELLA L. Taking downhole EM underground at hill 50 decline mount magnet Western Australia[J]. Exploration Geophysics,1997,28:141-146.
[20]王世睿.隧道掌子面-钻孔瞬变电磁超前探测方法与试验研究[D].济南:山东大学,2016.WANG Shirui. Research on tunnel face-borehole transient electromagnetic method and experiment for advanced detection[D].Jinan:Shandong University,2016.
[21]孙怀凤,程铭,宿传玺,等.隧(巷)道掘进工作面-钻孔瞬变电磁超前探测方法物理模拟试验研究[J].煤炭学报,2017,42(8):2110-2115.SUN Huaifeng,CHENG Ming,SU Chuanxi,et al.Tunnel face-borehole transient electromagnetic method and its physical experimental studies[J]. Journal of China Coal Society,2017,42(8):2110-2115.
[22]范涛.孔巷瞬变电磁动源定接收方法探测采空区试验[J].煤炭学报,2017,42(12):3229-3238.FAN Tao.Experimental study on the exploration of coal mine goaf by dynamic source and fixed reception Roadway-Borehole TEM detection method[J].Journal of China Coal Society,2017,42(12):3229-3238.
[23]陈丁,程久龙,王阿明.矿井全空间孔中瞬变电磁响应积分方程法数值模拟研究[J].地球物理学报,2018,61(10):4182-4193.CHEN Ding,CHENG Jiulong,WANG Aming. Numerical simulation of drillhole transient electromagnetic response in mine roadway whole space using integral equation method[J]. Chinese Journal of Geophysics,2018,61(10):4182-4193.
[24] LEE K H,LIU G,MORRISON H F. A new approach to modeling the electromagnetic response of conductive media[J].Geophysics,1989,54(6):1180-1192.
[25]戚志鹏,李貅,吴琼,等.从瞬变电磁扩散场到拟地震波场的全时域反变换算法[J].地球物理学报,2013,56(10):3581-3595.QI Zhipeng,LI Xiu,WU Qiong,et al. A new algorithm for full-time-domain wave-field transformation based on transient electromagnetic method[J]. Chinese Journal of Geophysics,2013,56(10):3581-3595.
[26]范涛,程建远,王保利,等.应用瞬变电磁虚拟波场成像方法检测井下煤层气水力压裂效果的试验研究[J].煤炭学报,2016,41(7):1762-1768.FAN Tao,CHENG Jianyuan WANG Baoli,et al.Experimental study on imaging method of TEM pseudo wave-field to detect the effect of underground coal-bed gas hydraulic fracturing[J].Journal of China Coal Society,2016,41(7):1762-1768.
[27]李貅,薛国强,宋建平,等.从瞬变电磁场到波场的优化算法[J].地球物理学报,2005,48(5):1185-1190.LI Xiu,XUE Guoqiang,SONG Jianping,et al. An optimize method for transient electromagnetic field-wave field conversion[J]. Chinese Journal of Geophysics,2005,48(5):1185-1190.
[28]范涛,鲁晶津,王冰纯,等.瞬变电磁虚拟波场反演法在井下超前探测中的应用[J].煤炭科学技术,2017,45(10):8-15,47.FAN Tao,LU Jingjin,WANG Bingchun,et al. Inversion method of transient electromagnetic virtual wave-field applied to advance detection in underground mine[J]. Coal Science and Technology,2017,45(10):8-15,47.
[29]朱宏伟,李貅,张军,等.瞬变电磁法三维拟地震成像信息提取技术[J].地球物理学进展,2010,25(5):1648-1656.ZHU Hongwei,LI Xiu,ZHANG Jun,et al. Information collecting technology in 3D pseudo-seismic imaging of transient electromagnetics[J].Progress in Geophysics,2010,25(5):1648-1656.
[30]薛国强,李貅,戚志鹏,等.瞬变电磁拟地震子波宽度压缩研究[J].地球物理学报,2011,54(5):1384-1390.XUE Guoqiang,LI Xiu,QI Zhipeng,et al. Study of sharpening the TEM pseudo-seismic wave-form[J]. Chinese Journal of Geophysics,2011,54(5):1384-1390.
[31]范涛.TEM虚拟波场三维连续速度分析及其在隧道超前预报中的应用[J].物探与化探,2011,35(2):243-247.FAN Tao.A 3D continuous velocity analysis of tem fictitious wavefield and its application to tunnel advanced prediction[J].Geophysical and Geochemical Exploration,2011,35(2):243-247.
[32]范涛,程建远,王保利,等.瞬变电磁虚拟波场成像方法及其对未爆弹探测的试验研究[J].地球物理学进展,2016,31(5):2326-2332.FAN Tao,CHENG Jianyuan,WANG Baoli,et al.Imaging method of TEM pseudo wave field and application of unexploded ordnance detection[J].Progress in Geophysics,2016,31(5):2326-2332.
[33] TAE J,JUNG H S,HEE J K,et al. Electromagnetic travel time tomography using approbobility wave-field transform[J].Geophysics,2002,67(3):67-69.
[34]李貅,戚志鹏,薛国强,等.瞬变电磁虚拟波场的三维曲面延拓成像[J].地球物理学报,2010,53(12):3005-3011.LI Xiu,QI Zhipeng,XUE Guoqiang,et al.Three dimensional curved surface continuation image based on TEM pseudo wave-field[J].Chinese Journal of Geophysics,2010,53(12):3005-3011.
[35]李貅,薛国强,刘银爱,等.瞬变电磁合成孔径成像方法研究[J].地球物理学报,2012,55(1):333-340.LI Xiu,XUE Guoqiang,LIU Yinai,et al. A research on TEM imaging method based on synthetic-aperture technolog[J]. Chinese Journal of Geophysics,2012,55(1):333-340.
[2]刘菁华,王祝文,朱士,等.煤矿采空区及塌陷区的地球物理探查[J].煤炭学报,2005,30(6):715-719.LIU Jinghua,WANG Zhuwen,ZHU Shi,et al.The geophysical exploration about exhausted area and sinking area in coal mine[J]. Journal of China Coal Society,2005,30(6):715-719.
[3]程建远,孙洪星,赵庆彪,等.老窑采空区的探测技术与实例研究[J].煤炭学报,2008,33(3):251-255.CHENG Jianyuan,SUN Hongxing,ZHAO Qingbiao,et al.The detection technology of excavated region in coal mine and case study[J].Journal of China Coal Society,2008,33(3):251-255.
[4]陈卫营,薛国强.瞬变电磁法多装置探测技术在煤矿采空区调查中的应用[J].地球物理学进展,2013,28(5):2709-2717.CHEN Weiying,XUE Guoqiang. Application on coal-mine voids detection with multi-device TEM technology[J]. Progress in Geophysics,2013,28(5):2709-2717.
[5]苏彦丁.瞬变电磁法在山西某煤矿采空巷道探测中的应用[J].勘察科学技术,2015(5):55-57,60.SU Yanding.Application of transient electromagnetic method in goaf roadway detection in a coal mine in Shanxi Province[J].Site Investigation Science and Technology,2015(5):55-57,60.
[6]王季.反射槽波探测采空巷道的实验与方法[J].煤炭学报,2015,40(8):1879-1885.WANG Ji. Experiment and method of void roadway detection using reflected in-seam wave[J]. Journal of China Coal Society,2015,40(8):1879-1885.
[7]范涛,赵兆,吴海,等.矿井瞬变电磁多匝回线电感影响消除及曲线偏移研究[J].煤炭学报,2014,39(5):932-940.FAN Tao,ZHAO Zhao,WU Hai,et al.Research on inductance effect removing and curve offset for mine TEM with multi small loops[J].Journal of China Coal Society,2014,39(5):932-940.
[8] MACNAE J,STALTARI G.Classification of sign changes in Borehole TEM decays[J].Exploration Geophysics,1987,18:331-339.
[9]徐正玉,杨海燕,邓居智,等.垂直接触带影响下地-井瞬变电磁响应研究[J].地球物理学进展,2015,30(3):1345-1353.XU Zhengyu,YANG Haiyan,DENG Juzhi,et al. Research on response of down-hole TEM by vertical sheet[J].Progress in Geophysics,2015,30(3):1345-1353.
[10]武军杰,李貅,智庆全,等.电性源地-井瞬变电磁法三分量响应特征分析[J].地球物理学进展,2017,32(3):1273-1278.WU Junjie,LI Xiu,ZHI Qingquan,et al. Analysis of three component TEM response characteristic of electric source dill hole TEM[J].Progress in Geophysics,32(3):1273-1278.
[11] WEST R C,WARD S H. The borehole transient EM of a three-dimensional fractured zone in a conductive half space[J].Geophysics,1988,53:1469-1478.
[12]孟庆鑫,潘和平.地-井瞬变电磁响应特征数值模拟分析[J].地球物理学报,2012,55(3):1046-1053.MENG Qingxin,PAN Heping.Numerical simulation analysis of surface-hole TEM responses[J].Chinese Journal of Geophysics,2012,55(3):1046-1053.
[13]杨海燕,徐正玉,岳建华,等.覆盖层下三维板状体地-井瞬变电磁响应[J].物探与化探,2016,40(1):190-196.YANG Haiyan XU Zhengyu,YUE Jianhua,et al. 3D inclined conductor behavior of down-hole transient electromagnetic method with overburden layer[J]. Geophysical and Geochemical Exploration,2016,40(1):190-196.
[14] BUSELLI G,LEE S K.Modelling of drillhole TEM responses from multiple targets covered by a conductive overburden[J]. Exploration Geophysics,1996,27:141-153.
[15] DYCK A V,WEST G F.The role of simple computer models in interpretation of wideband,drill-hole electromagnetic surveys in mineral exploration[J].Geophysics,1984,49:957-980.
[16]张杰.地-井瞬变电磁异常特征分析及矢量交会解释方法研究[D].北京:中国地质大学(北京),2009.ZHANG Jie.Analysis of anomalous character and study vector intersection for downhole transient electromagnetic method[D].Beijing:China University of Geosciences(Beijing),2009.
[17] HEE J K,KI H L,MICHAEL W A.Fast inversion method for interpreting borehole electromagnetic data[J]. Earth Planets Space,2003,55:249-254.
[18]杨毅,邓晓红,张杰,等.一种井中瞬变电磁异常反演方法[J].物探与化探,2014,38(4):855-859,864.YANG Yi,DENG Xiaohong,ZHANG Jie,et al. A borehole TEM anomaly inversion method[J]. Geophysical and Geochemical Exploration,2014,38(4):855-859,864.
[19] VELLA L. Taking downhole EM underground at hill 50 decline mount magnet Western Australia[J]. Exploration Geophysics,1997,28:141-146.
[20]王世睿.隧道掌子面-钻孔瞬变电磁超前探测方法与试验研究[D].济南:山东大学,2016.WANG Shirui. Research on tunnel face-borehole transient electromagnetic method and experiment for advanced detection[D].Jinan:Shandong University,2016.
[21]孙怀凤,程铭,宿传玺,等.隧(巷)道掘进工作面-钻孔瞬变电磁超前探测方法物理模拟试验研究[J].煤炭学报,2017,42(8):2110-2115.SUN Huaifeng,CHENG Ming,SU Chuanxi,et al.Tunnel face-borehole transient electromagnetic method and its physical experimental studies[J]. Journal of China Coal Society,2017,42(8):2110-2115.
[22]范涛.孔巷瞬变电磁动源定接收方法探测采空区试验[J].煤炭学报,2017,42(12):3229-3238.FAN Tao.Experimental study on the exploration of coal mine goaf by dynamic source and fixed reception Roadway-Borehole TEM detection method[J].Journal of China Coal Society,2017,42(12):3229-3238.
[23]陈丁,程久龙,王阿明.矿井全空间孔中瞬变电磁响应积分方程法数值模拟研究[J].地球物理学报,2018,61(10):4182-4193.CHEN Ding,CHENG Jiulong,WANG Aming. Numerical simulation of drillhole transient electromagnetic response in mine roadway whole space using integral equation method[J]. Chinese Journal of Geophysics,2018,61(10):4182-4193.
[24] LEE K H,LIU G,MORRISON H F. A new approach to modeling the electromagnetic response of conductive media[J].Geophysics,1989,54(6):1180-1192.
[25]戚志鹏,李貅,吴琼,等.从瞬变电磁扩散场到拟地震波场的全时域反变换算法[J].地球物理学报,2013,56(10):3581-3595.QI Zhipeng,LI Xiu,WU Qiong,et al. A new algorithm for full-time-domain wave-field transformation based on transient electromagnetic method[J]. Chinese Journal of Geophysics,2013,56(10):3581-3595.
[26]范涛,程建远,王保利,等.应用瞬变电磁虚拟波场成像方法检测井下煤层气水力压裂效果的试验研究[J].煤炭学报,2016,41(7):1762-1768.FAN Tao,CHENG Jianyuan WANG Baoli,et al.Experimental study on imaging method of TEM pseudo wave-field to detect the effect of underground coal-bed gas hydraulic fracturing[J].Journal of China Coal Society,2016,41(7):1762-1768.
[27]李貅,薛国强,宋建平,等.从瞬变电磁场到波场的优化算法[J].地球物理学报,2005,48(5):1185-1190.LI Xiu,XUE Guoqiang,SONG Jianping,et al. An optimize method for transient electromagnetic field-wave field conversion[J]. Chinese Journal of Geophysics,2005,48(5):1185-1190.
[28]范涛,鲁晶津,王冰纯,等.瞬变电磁虚拟波场反演法在井下超前探测中的应用[J].煤炭科学技术,2017,45(10):8-15,47.FAN Tao,LU Jingjin,WANG Bingchun,et al. Inversion method of transient electromagnetic virtual wave-field applied to advance detection in underground mine[J]. Coal Science and Technology,2017,45(10):8-15,47.
[29]朱宏伟,李貅,张军,等.瞬变电磁法三维拟地震成像信息提取技术[J].地球物理学进展,2010,25(5):1648-1656.ZHU Hongwei,LI Xiu,ZHANG Jun,et al. Information collecting technology in 3D pseudo-seismic imaging of transient electromagnetics[J].Progress in Geophysics,2010,25(5):1648-1656.
[30]薛国强,李貅,戚志鹏,等.瞬变电磁拟地震子波宽度压缩研究[J].地球物理学报,2011,54(5):1384-1390.XUE Guoqiang,LI Xiu,QI Zhipeng,et al. Study of sharpening the TEM pseudo-seismic wave-form[J]. Chinese Journal of Geophysics,2011,54(5):1384-1390.
[31]范涛.TEM虚拟波场三维连续速度分析及其在隧道超前预报中的应用[J].物探与化探,2011,35(2):243-247.FAN Tao.A 3D continuous velocity analysis of tem fictitious wavefield and its application to tunnel advanced prediction[J].Geophysical and Geochemical Exploration,2011,35(2):243-247.
[32]范涛,程建远,王保利,等.瞬变电磁虚拟波场成像方法及其对未爆弹探测的试验研究[J].地球物理学进展,2016,31(5):2326-2332.FAN Tao,CHENG Jianyuan,WANG Baoli,et al.Imaging method of TEM pseudo wave field and application of unexploded ordnance detection[J].Progress in Geophysics,2016,31(5):2326-2332.
[33] TAE J,JUNG H S,HEE J K,et al. Electromagnetic travel time tomography using approbobility wave-field transform[J].Geophysics,2002,67(3):67-69.
[34]李貅,戚志鹏,薛国强,等.瞬变电磁虚拟波场的三维曲面延拓成像[J].地球物理学报,2010,53(12):3005-3011.LI Xiu,QI Zhipeng,XUE Guoqiang,et al.Three dimensional curved surface continuation image based on TEM pseudo wave-field[J].Chinese Journal of Geophysics,2010,53(12):3005-3011.
[35]李貅,薛国强,刘银爱,等.瞬变电磁合成孔径成像方法研究[J].地球物理学报,2012,55(1):333-340.LI Xiu,XUE Guoqiang,LIU Yinai,et al. A research on TEM imaging method based on synthetic-aperture technolog[J]. Chinese Journal of Geophysics,2012,55(1):333-340.