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. DOI: 10.3969/j.issn.1001-1986.2012.01.019
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. DOI: 10.3969/j.issn.1001-1986.2012.01.019
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. DOI: 10.3969/j.issn.1001-1986.2012.01.019
Citation: 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. DOI: 10.3969/j.issn.1001-1986.2012.01.019

频率域电磁剖面有限差分法2.5维正演数值模拟

2.5D electromagnetic profiling forward modeling with finite difference method

  • 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。

     

    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 transformation 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 results clearly show the magnetic anomaly of the anomalous characteristics. Finally, we simulated the inter well exploration methods and obtained some good results in Ey and Hz.

     

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