Gradient-boosted equivalent sources

This is a Preprint and has not been peer reviewed. This is version 2 of this Preprint.

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Authors

Santiago Rubén Soler , Leonardo Uieda 

Abstract

The equivalent source technique is a powerful and widely used method for processing gravity and magnetic data. Nevertheless, its major drawback is the large computational cost in terms of processing time and computer memory. We present two techniques for reducing the computational cost of equivalent source processing: block-averaging source locations and the gradient-boosted equivalent source algorithm. Through block-averaging, we reduce the number of source coefficients that must be estimated while retaining the minimum desired resolution in the final processed data. With the gradient boosting method, we estimate the sources coefficients in small batches along overlapping windows, allowing us to reduce the computer memory requirements arbitrarily to conform to the constraints of the available hardware. We show that the combination of block-averaging and gradient-boosted equivalent sources is capable of producing accurate interpolations through tests against synthetic data. Moreover, we demonstrate the feasibility of our method by gridding a gravity dataset covering Australia with over 1.7 million observations using a modest personal computer.

DOI

https://doi.org/10.31223/X58G7C

Subjects

Earth Sciences, Geophysics and Seismology

Keywords

Australia, Inverse theory, Gravity anomalies and Earth structure, Statistical methods, Geopotential theory, Magnetic anomalies: modelling and interpretation

Dates

Published: 2021-02-25 14:59

Last Updated: 2021-03-08 15:34

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License

CC BY Attribution 4.0 International

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