| 频率域电磁剖面有限差分法2.5维正演数值模拟 |
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| 引用本文： | 刘方镝,王绪本,焦健,罗毅翔,胡清龙.频率域电磁剖面有限差分法2.5维正演数值模拟[J].煤田地质与勘探,2012,40(1):79-84. |
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| 作者姓名： | 刘方镝 王绪本 焦健 罗毅翔 胡清龙 |
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| 作者单位： | 成都理工大学地球探测与信息技术教育部重点实验室;四川中水成勘院工程勘察有限责任公司 |
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| 基金项目： | 国家高技术研究发展计划(863计划)项目(2009AA06Z108) |
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| 摘 要： | 对于实际生产中遇到的2.5维问题,从麦克斯韦方程组出发,把地电参数变化小的走向方向转化到波数域,用一系列波数模拟三维源的特征,并在波数域中,得到2组关于Hx (kx,y,z)和Ex (kx,y,z)的偏微分方程。选取适当的kx值,用有限差分法在y-z平面的网格中求解,再通过反傅里叶变换得到空间域中的电磁场。在验证了算法的正确性之后,对不同埋深的直立异常体、倾斜异常体及断陷模型进行了数值模拟,其结果直观地显示了异常体磁异常的形态,同时研究了程序对低阻异常体的横向分辨率。对层状大地模型,用井间收发方式进行了模拟研究,并取得了较好的结果,这对今后实际勘探应用奠定了基础。
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| 关 键 词： | 频率域 2.5D 磁偶源 有限差分法 数值模拟 |
| 收稿时间： | 2011-04-26 |
2.5D electromagnetic profiling forward modeling with finite difference method |
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| LIU Fangdi,WANG Xuben,JIAO Jian,LUO Yixiang,HU Qinglong.2.5D electromagnetic profiling forward modeling with finite difference method[J].Coal Geology & Exploration,2012,40(1):79-84. |
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| Authors: | LIU Fangdi WANG Xuben JIAO Jian LUO Yixiang HU Qinglong |
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| Institution: | 1.Key Laboratory of Earth Exploration and Information Techniques of the Ministry of Education,Chengdu University of Technology,Chengdu 610059,China;2.Sichuan Hydropower Engineering Investigation Co.,Ltd.,Chengdu 610072,China) |
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| Abstract: | A finite difference formulation is developed for computing the frequency domain electromagnetic fields due to a magnetic source in the presence of two-dimensional conductivity structures.The main principle of this forward modeling method is to synthesize data for three dimensional signal source with a series of different wave numbers in geologic structure’s strike direction(direction x in Cartesion coordinate system).By the Fourier trans-formation the problem is transformed into the x-wave number(kx) and two coupled partial differential equations for Hx(kx,y,z) and Ex(kx,y,z) are obtained.These equations can be solved by finite difference method in y-z plane.In the paper,four typical models are used for 2.5D forward modeling.Then we demonstrate the Hz curves for two-anomaly bodies in different depth,two-lean-anomaly bodies and down fault anomaly.Numerical modeling re-sults clearly show the magnetic anomaly of the anomalous characteristics.Finally,we simulated the inter well ex-ploration methods and obtained some good results in Ey and Hz. |
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| Keywords: | frequency domain 2 5D finite difference method numerical modeling |
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