卫星潮汐磁场制约的洋底上地幔电导率:三维反演、验证和解释

L. Šachl, O. Knopp, J. Velímský
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摘要

我们首次提出了通过反演卫星衍生潮汐诱导磁场(TIMFs)而获得的三维(3-D)上幔电导率模型。我们主要使用 M2 周期,但也考察了 O1 周期的潜在优势。我们使用最近开发的基于邻接法的频域球面谐波有限元方法找到了逆问题的解决方案。我们测试了来自 Swarm 任务卫星测量的两个不同的 TIMF 数据集和两种不同的正则化;要么要求解足够平滑,要么要求解合理地接近先验的三维电导率模型 WINTERC-e Wd-emax。重建的电导率模型与其他研究的一维电导率剖面进行了局部比较。如果我们使用其中一个可用的 TIMF 数据集,平滑的重建模型会向 Wd-emax 靠拢,TIMF 调整后的 Wd-emax 模型比原始 Wd-emax 模型更接近参考电导率剖面。最后,我们利用获得的三维电导率分布,通过热力学和成分模型,结合地幔各成分的电导率实验室测量,计算出上地幔中相应的三维水分布。
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Electrical conductivity of the suboceanic upper mantle constrained by satellite-derived tidal magnetic fields: 3-D inversion, validation and interpretation
We present the first three-dimensional (3-D) upper-mantle conductivity models obtained by an inversion of the satellite-derived tidally-induced magnetic fields (TIMFs). We primarily use the M2 period, but the potential benefit of the O1 period is also inspected. The inverse-problem solution is found using the recently developed frequency-domain, spherical harmonic-finite element method based on the adjoint approach. We tested two different TIMF data sets derived from the satellite measurements of the Swarm mission and two different regularizations; the solution is either required to be sufficiently smooth or reasonably close to the a-priori 3-D conductivity model WINTERC-e Wd-emax. The reconstructed conductivity models are locally compared with the 1-D conductivity profiles from other studies. If we use one of the available TIMF data sets, the smooth reconstructed model gravitates towards Wd-emax and the TIMF-adjusted Wd-emax model is closer to the reference conductivity profiles than the original Wd-emax model. Finally, we use the obtained 3-D conductivity distributions to calculate the corresponding 3-D water distribution in the upper mantle using thermodynamical and compositional models coupled to the electrical-conductivity laboratory measurement of individual mantle constituents.
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