| 瞬变电磁场有限差分与数字滤波双模型三维正演方法 |
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| 引用本文： | 李飞,程久龙,温来福,董毅.瞬变电磁场有限差分与数字滤波双模型三维正演方法[J].地球物理学进展,2020(3):963-969. |
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| 作者姓名： | 李飞 程久龙 温来福 董毅 |
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| 作者单位： | 中国矿业大学（北京）;华北科技学院 |
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| 基金项目： | 国家重点研发计划课题(2017YFC0804105);教育部创新团队(IRT_17R37);河北省自然科学基金(D2019508160,D2019508167);中央高校基本科研业务费(3142018025)联合资助. |
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| 摘 要： | 瞬变电磁场数字滤波算法计算时间短,精度高,但难以实现三维正演计算;有限差分算法可以实现三维正演计算,但计算时间长,当模型网格剖分数量不足时计算精度较低.结合三维有限差分正演算法和一维数字滤波正演算法各自优势,提出双模型三维正演方法,可以减少计算时间,提高计算精度.首先,给出了瞬变电磁场三维有限差分正演算法和一维数字滤波正演算法.然后,通过理论分析和公式推导,提出了通过三维有限差分正演算法计算异常场,通过一维数字滤波算法计算背景场,然后叠加得到总场的双模型方法,并给出了具体计算公式和流程.最后,建立了经典的Newman均匀介质含低阻长方体模型,以及Commer层状介质含垂直接触带模型,分别采用双模型方法和常规三维有限差分算法进行了正演计算,对计算结果进行了对比分析.结果表明:在相同模型网格数量条件下双模型方法计算精度显著高于常规三维有限差分算法;双模型方法可以通过较少的模型网格数量取得高精度的计算结果,从而可以在保证计算精度的前提下显著提高计算效率.
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| 关 键 词： | 瞬变电磁法 三维正演 时域有限差分 数字滤波法 双模型方法 |
Double model method for 3D TEM modeling based on combination of FDTD and digital filtering method |
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| LI Fei,CHENG Jiu-long,WEN Lai-fu,DONG Yi.Double model method for 3D TEM modeling based on combination of FDTD and digital filtering method[J].Progress in Geophysics,2020(3):963-969. |
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| Authors: | LI Fei CHENG Jiu-long WEN Lai-fu DONG Yi |
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| Institution: | (State Key Laboratory of Coal Resources and Safe Mining,China University of Mining and Technology(Beijing),Beijing 100083,China;Key Laboratory of Mine Disaster Prevention and Control,North China Institute of Science and Technology,Beijing 101601,China) |
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| Abstract: | Transient electromagnetic field 3D FDTD numerical simulation method usually needs lots of model grids to get high precision results,which means lots of calculation time.This paper proposed double model method based on the combination of 3D FDTD method and digital filtering method,which can decrease calculation time and improve calculation precision.First,3D FDTD method and 1D digital filtering method are presented.Then,through theoretical analysis and formula derivation,the paper proposed double model method and gave the calculation formula.The anomaly field is calculated by 3D FDTD method and the background field is calculated based on 1D digital filtering method in double model method.Finally,two typical models are built and numerical simulations are carried out by using traditional FDTD method and double model method separately.Results show that double model method can achieve higher precision results compared with traditional FDTD method in the condition of using same grids quantity.Double model method can achieve high precision results with relatively small grids quantity,which decreases calculation time significantly. |
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| Keywords: | Transient electromagnetic method Three-dimensional modeling FDTD Digital filtering method Double model method |
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