有限偶极子长度在全地球三维大地电磁学建模中的应用

W. Soyer, F. Miorelli, R. Mackie
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摘要

我们已经从三维大地电磁法反演建模中典型的点测量假设中量化了有限电偶极子长度的使用。在MT测深中,电场通常是在50米到200米的偶极子上测量的。然而,建模算法通常使用单个细胞表面的点电场值来计算MT传递函数。在大多数情况下,这是完全合理的,但在电阻率具有很强的浅层可变性的情况下,点电场可能无法很好地模拟测量结果,并且可能无法最佳地使用详细信息。我们通过在选定情况下的三维正演计算中量化点解和跨偶极子的电场积分之间的差异来探讨这种遗漏的后果。该主题与电流畸变和相关参数反演、横向磁场变化以及为深层目标成像提供较浅约束的好处密切相关。作为副产品,分析使我们专注于3D建模的场输出,并通过分析的案例说明电流系统。我们观察到,在强地形和露头不均匀性存在的情况下,有限偶极子解可能与点解有很大的不同,而在可变风化层情况下,这种影响似乎更受控制
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Using finite dipole lengths in complete earth 3D MT modelling
Summary We have quantified the use of finite electric dipole lengths from the point measurement assumptions typical in 3D MT inversion modeling. Electric fields are measured across dipoles of typically 50 m to 200 m at MT soundings. Modeling algorithms, however, normally use point electric field values at the surface of single cells to calculate MT transfer functions. This is perfectly reasonable for the majority of cases, but there are situations with strong shallow variability of resistivity, where measurements may not be simulated well by point electric fields, and detailed information might not be used optimally. We explore the consequences of this omission by quantifying the difference between point solutions and electric field integrations across dipoles in 3D forward calculations for selected cases. The topic ties closely with galvanic distortion and inversion for related parameters, lateral magnetic field variations, and the benefit of providing shallower constraints for the imaging of deeper targets. As a side product, the analysis led us to focus on the fields output from the 3D modeling, and we illustrate electric current systems through the cases analyzed. We observe that in the presence of strong topography and outcropping inhomogeneities, finite dipole solutions can differ considerably from point solutions, while over a variable regolith case the effect appears more contained
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