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首页> 外文期刊>Geoscience and Remote Sensing, IEEE Transactions on >Three-Dimensional Magnetic Field and NMR Sensitivity Computations Incorporating Conductivity Anomalies and Variable-Surface Topography
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Three-Dimensional Magnetic Field and NMR Sensitivity Computations Incorporating Conductivity Anomalies and Variable-Surface Topography

机译：包含电导率异常和可变表面形貌的三维磁场和NMR灵敏度计算

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摘要

We have developed a numerical algorithm for computing the magnetic field distribution and the nuclear magnetic resonance (NMR) sensitivity function for arbitrary topography overlying a known 3-D conductivity structure. The magnetic vector potential is split into primary and secondary terms. The primary term is obtained using a thin-wire line integral equation that accounts for arbitrary loop shape and position. It allows the singularity of the source field to be effectively removed. The secondary potential is obtained by solving the second-order partial differential equations on an unstructured tetrahedral mesh using the finite element technique. We validate the results of applying our algorithm against an explicit infinite integral solution for circular loops on a layered earth and against the results of applying a commercial simulation tool. The spatially oscillating NMR sensitivity functions to hydrogen protons (i.e., unbounded water molecules) in the sub-surface are computed on a refined unstructured grid. We apply the numerical algorithm to a number of synthetic examples in surface NMR tomography of hydrological relevance.
机译：我们已经开发了一种数值算法，用于计算覆盖已知的3-D电导率结构的任意地形的磁场分布和核磁共振（NMR）灵敏度函数。磁矢量电势分为初级和次级项。主项是使用细线积分方程式获得的，该方程式说明了任意回路的形状和位置。它允许有效删除源字段的奇异之处。通过使用有限元技术在无结构的四面体网格上求解二阶偏微分方程来获得二次电势。我们针对针对层状地球上的圆形回路的显式无限积分解和应用商业仿真工具的结果，验证了应用我们的算法的结果。在精制的非结构化网格上计算了对次表面中氢质子（即无界水分子）的空间振荡NMR灵敏度函数。我们将数值算法应用于水文相关性的表面NMR层析成像中的许多合成示例。

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