Edge-based finite-element modeling of 3D frequency-domain electromagnetic data in general dispersive medium
Edge-based finite-element modeling of 3D frequency-domain electromagnetic data in general dispersive medium
复制标题
一般色散介质中 3D 频域电磁数据的基于边缘的有限元建模
DOI：
10.1007/s11600-019-00259-5
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发表时间：
2019-04
期刊：
影响因子：
2.3
通讯作者：
Xiaoping Wu
中科院分区：
文献类型：
--
作者：
Mingxin Yue;Xiaoping Wu
地球物理电磁 (EM) 理论通常基于地下介质的电导率与频率无关的假设。然而，由于激发极化（IP）效应的存在，许多地球材料具有色散性，其电导率随频率变化很大。因此，传统的数值技术不适用于一般色散介质中的电磁正演模拟。我们提出了一种新算法，通过使用基于边缘的有限元算法对频域中包含 IP 现象的三维 (3D) EM 数据进行建模。在这项研究中，我们使用 Cole-Cole 复电导率模型描述了地球介质的色散行为。我们的算法不仅可以模拟陆地和机载电磁测量，还可以更灵活地描述具有不规则六面体网格的表面形貌。我们使用具有和不具有 IP 效应的半空间模型的解析解来验证所开发的算法。我们的代码的功能通过在受控源音频大地电磁 (CSAMT) 和机载电磁 (AEM) 示例中对耦合电磁感应和 IP 响应进行建模来证明。该算法对于分散区域的勘测规划具有重要的指导意义，可作为实用的包含IP参数的3D反演的正向求解器。
The geophysical electromagnetic (EM) theories are commonly based on the assumption that the conductivity of underground media is frequency independent. However, due to the existence of induced polarization (IP) effect, many earth materials are dispersive, and their electrical conductivity varies significantly with frequency. Therefore, the conventional numerical techniques are not proper for EM forward modeling in general dispersive medium. We present a new algorithm for modeling three-dimensional (3D) EM data containing IP phenomena in frequency domain by using an edge-based finite element algorithm. In this research, we describe the dispersion behavior of earth media by using a Cole–Cole complex conductivity model. Our algorithm not only models land and airborne EM surveys but also provides more flexibility in describing the surface topography with irregular hexahedral grids. We have validated the developed algorithm using an analytic solution over a half-space model with and without IP effect. The capabilities of our code were demonstrated by modeling coupled EM induction and IP responses in controlled-source audio magnetotelluric (CSAMT) and airborne electromagnetic (AEM) examples. This algorithm will have important guiding significance for survey planning in the dispersive areas, and it could be taken as a forward solver for practical 3D inversion incorporated IP parameters.
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