考虑关断时间的回线源激发TEM三维时域有限差分正演

孙怀凤, 李貅, 李术才, 戚志鹏, 王祎鹏, 苏茂鑫, 薛翊国, 刘斌. 考虑关断时间的回线源激发TEM三维时域有限差分正演[J]. 地球物理学报, 2013, 56(3): 1049-1064, doi: 10.6038/cjg20130333
引用本文: 孙怀凤, 李貅, 李术才, 戚志鹏, 王祎鹏, 苏茂鑫, 薛翊国, 刘斌. 考虑关断时间的回线源激发TEM三维时域有限差分正演[J]. 地球物理学报, 2013, 56(3): 1049-1064, doi: 10.6038/cjg20130333
SUN Huai-Feng, LI Xiu, LI Shu-Cai, QI Zhi-Peng, WANG Yi-Peng, SU Mao-Xin, XUE Yi-Guo, LIU Bin. Three-dimensional FDTD modeling of TEM excited by a loop source considering ramp time[J]. Chinese Journal of Geophysics (in Chinese), 2013, 56(3): 1049-1064, doi: 10.6038/cjg20130333
Citation: SUN Huai-Feng, LI Xiu, LI Shu-Cai, QI Zhi-Peng, WANG Yi-Peng, SU Mao-Xin, XUE Yi-Guo, LIU Bin. Three-dimensional FDTD modeling of TEM excited by a loop source considering ramp time[J]. Chinese Journal of Geophysics (in Chinese), 2013, 56(3): 1049-1064, doi: 10.6038/cjg20130333

考虑关断时间的回线源激发TEM三维时域有限差分正演

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    作者简介:

    孙怀凤,男,1982年生,博士研究生,主要从事瞬变电磁场的理论及数值建模方面的研究.E-mail:sunhuaifeng@gmail.com

    通讯作者: 李貅,男,1958年生,教授,博士生导师,主要从事瞬变电磁场的基本理论与应用方面的研究.E-mail:lixiu@chd.edu.cn
  • 中图分类号: P631

Three-dimensional FDTD modeling of TEM excited by a loop source considering ramp time

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  • 从麦克斯韦旋度方程出发可以直接导出瞬变电磁场扩散方程,然而扩散方程不含电场对时间的一阶导数,不能构成显式的时域有限差分方程,借鉴du Fort-Frankel有限差分离散方法引入虚拟位移电流项构建显式时域有限差分方程.对Wang和Hohmann的经典时域算法进行了两点改进:第一,通过将矩形回线源电流密度加入麦克斯韦方程组的安培环路定理方程,实现回线源瞬变电磁激发源加入;第二,在计算中考虑关断时间.第一点改进使时域有限差分方程考虑了一次场的计算,并且源的计算不再依赖均匀半空间模型响应作为初始条件,使算法能够适应表层电阻率不均匀时的三维复杂模型.由于实际观测中不可能出现阶跃电流的关断形式,第二点改进可以方便设置发射电流下降沿.采用改进的三维时域有限差分正演算法对均匀半空间模型、四类三层模型、均匀半空间中含有低阻块体模型进行了计算并分别与解析解、线性数字滤波解、积分方程解和Wang的三维时域有限差分解进行了对比验证.以H模型为例,采用建立的三维时域有限差分正演算法计算了不同关断时间的斜阶跃脉冲回线源瞬变电磁中心点感应电动势衰减曲线.以实际地质资料为基础,构建包含两层采空区的三维复杂模型,以1 μs的极短关断时间进行了复杂模型定回线源瞬变电磁响应计算,并计算了该复杂模型的视电阻率曲线.
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收稿日期:  2012-06-05
修回日期:  2012-09-18
上线日期:  2013-03-20

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