| 井间电磁场时域有限差分数值模拟 |
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| 引用本文： | 杨曦,潘和平.井间电磁场时域有限差分数值模拟[J].地球物理学进展,2008,23(2):573-582. |
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| 作者姓名： | 杨曦 潘和平 |
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| 作者单位： | 中国地质大学(武汉)地球物理与空间信息学院,武汉,430074 |
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| 基金项目： | 中国地质大学校科研和教改项目 |
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| 摘 要： | 为进一步了解井间地下介质结构及其电性特征,本文用时域有限差分方法(FDTD),实现了井间电磁场响应的数值模拟.激发源是探测深度相对磁偶极子更大一些的电偶极子,首先选择一个位于井轴上的垂直电偶极子作为场源,并假设参与计算的介质相对于发射井井轴是轴向对称的,这样可将研究区域作为二维问题处理.推导了二维井间电磁波传播时域差分公式.该方法适用于任何方向入射的电偶极子源,尤其善于解决频域差分方法所难以描述的宽频脉冲.给出了井间金属圆柱和矿体圆柱数值模拟2个例子,结果表明,时域有限差分方法能有效的模拟井间地下介质中电磁波的传播,揭示电磁波传播规律.该方法速度快、精度高、结果稳定,适合用于井间电磁场反演成像的正演响应计算.
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| 关 键 词： | 时域有限差分(FDTD) 井间电磁场 正演数值模拟 |
| 文章编号： | 1004-2903(2008)02-0573-10 |
| 收稿时间： | 2007-11-22 |
| 修稿时间： | 2007年11月22 |
The simulation of cross-hole electromagnetic fields using FDTD method |
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| YANG Xi,PAN He-ping.The simulation of cross-hole electromagnetic fields using FDTD method[J].Progress in Geophysics,2008,23(2):573-582. |
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| Authors: | YANG Xi PAN He-ping |
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| Institution: | (InstituteofGeophysicsandGeomatics,ChinaUniversityofGeosciences,Wuhan430074,China) |
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| Abstract: | In order to know more about the structure and electrical characteristics of media underground,this paper achieved the simulation of cross-hole electromagnetic fields response using finite difference time domain(FDTD)method.The excitation source in this paper was electric dipole whose investigation depth was relatively higher than magnetic dipole.Taken a vertical electric dipole on the borehole axis as the excited source,if assumed the media in the calculation was axis-symmetric to the axis of transmitting hole,the research area can be treated as a 2-D problem.Then a formulation of FDTD for 2-D cross-hole electromagnetic wave propagation was deducted.This method is applicable for electric dipole sources on any incident directions,especially for the wide bandwidth pulse which can not be described by finite difference frequency domain method.In this paper,there were two examples of the simulation,one is metal cylinder simulation,and the other is ore cylinder,which indicated that FDTD method can efficiently simulate the propagation of electromagnetic wave in cross-hole media,to show the propagation rule of electromagnetic wave.This method is suitable for the calculation of forward response of cross-hole electromagnetic fields inversion,with high speed,high accuracy and result stability. |
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| Keywords: | Finite Difference Time Domain(FDTD) cross-hole electromagnetic fields forward numerical simulation |
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