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compgeolab/eqs-magnetic-dual-layer

Dual-Layer Gradient-Boosted Equivalent Sources for Magnetic Data

by India Uppal, Leonardo Uieda, Vanderlei Coelho Oliveira Jr., Richard Holme.

This repository contains the data and source code used to produce the results presented in:

Uppal, I., Uieda, L., Oliveira Jr., V. C., Holme, R. (2025). Dual-Layer Gradient-Boosted Equivalent Sources for Magnetic Data. Geophysical Journal International. doi:10.1093/gji/ggaf359

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Version of record https://doi.org/10.1093/gji/ggaf359
Open-access version on EarthArXiv https://doi.org/10.31223/X58B1Q
Archive of this repository https://doi.org/10.5281/zenodo.15120457
Software Heritage ID swh:1:snp:3a0940be13637428a5dcd79957cdfc786473abf6
Reproducing our results REPRODUCING.md

About

This is the first paper of India's PhD thesis. It was motivated by our desire to improve the currently available magnetic data products available for Antarctica. We realised that more sophisticated methods of interpolating and joining the different survey data were needed and that equivalent sources was likely the way forward. These results serve as the basis for further exploration into the challenging Antarctic magnetic datasets.

Abstract

Magnetic data often require interpolation onto a regular grid at constant height before further analysis. A widely used approach for this is the equivalent sources technique, which has been adapted over time to improve its computational efficiency and accuracy of the predictions. However, many of these adaptations still face challenges, including border effects in the predictions or reliance on a stabilising parameter. To address these limitations, we introduce dual-layer gradient-boosted equivalent sources to: (1) use a dual-layer approach to improve the predictions of both short- and long-wavelength signals, as well as, reduce border effect; (2) use block-averaging and the gradient-boosted equivalent sources method to reduce the computational load; (3) apply block K-fold cross-validation to guide optimal parameter selection for the model. The proposed method was tested on both synthetic datasets and the ICEGRAV aeromagnetic dataset to evaluate the methods ability to interpolate and upward continue onto a regular grid, as well as predict the amplitude of the anomalous field from total-field anomaly data. The dual-layer approach proved better compared to the single-layer approach when predicting both short- and long-wavelength signals, particularly in the presence of truncated long-wavelength anomalies. The use of block-averaging and the gradient-boosting method enhances the computational efficiency, being able to grid over 400,000 data points in under 2 minutes on a moderate workstation computer.

License

All Python source code (including .py and .ipynb files) is made available under the MIT license. You can freely use and modify the code, without warranty, so long as you provide attribution to the authors. See LICENSE-MIT.txt for the full license text.

The manuscript text (including all LaTeX files), figures, and data/models produced as part of this research are available under the Creative Commons Attribution 4.0 License (CC-BY). See LICENSE-CC-BY.txt for the full license text.

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Paper: Using a dual-layer gradient-boosted equivalent source model process magnetic data

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