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Application of 2.5-D Finite Difference Method in Logging-While-Drilling Electromagnetic Measurements for Complex Scenarios

机译:2.5-D有限差分法在复杂场景中钻井电磁测量中的应用

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摘要

We present a 2.5-D finite difference (FD) algorithm to simulate the logging-while-drilling (LWD) electromagnetic (EM) measurements with arbitrarily oriented magnetic dipole sources in 2-D anisotropic media. The real 3-D modeling in the spatial domain is converted to a series of independent 2-D equations in the spectral domain by implementing the Fourier transform (FT). By replacing the dipoles with incident fields, the scattered fields are solved directly to avoid the point source singularity as well as improve the convergence of inverse FT (IFT). The efficiency of the IFT is further enhanced with a modified Gauss-Hermite (GHM) quadrature-based numerical integration scheme. Numerical tests demonstrate that the proposed 2.5-D algorithm is fast and accurate in modeling the LWD EM measurements in complex scenarios. Discussions are also made to compare the performance of the proposed methods with 1-D and 3-D algorithms.
机译:我们介绍了2.5-D有限差分(FD)算法,以模拟在2-D各向异性介质中具有任意取向的磁偶极源的钻孔钻孔(LWD)电磁(EM)测量。空间域中的真实3-D建模通过实现傅里叶变换(FT)将空间域中的一系列独立的2-D等式转换为频谱域中的一系列独立的2-D等式。通过用事件字段替换偶极子,可以直接解决分散的字段以避免点源奇异性以及提高逆英尺(IFT)的收敛。使用修改的高斯 - Hermite(GHM)基于正交的数值积分方案进一步增强了IFT的效率。数值测试表明,所提出的2.5D算法在复杂场景中的LWD EM测量建模时快速准确。还可以进行讨论来比较具有1-D和3-D算法的提出方法的性能。

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