Gradient-boosted equivalent sources
- 24 August 2021
- journal article
- research article
- Published by Oxford University Press (OUP) in Geophysical Journal International
- Vol. 227 (3), 1768-1783
- https://doi.org/10.1093/gji/ggab297
Abstract
SUMMARY: 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 data set covering Australia with over 1.7 million observations using a modest personal computer.Funding Information
- CONICET
This publication has 41 references indexed in Scilit:
- Polynomial equivalent layerGeophysics, 2013
- Processing gravity gradient dataGeophysics, 2011
- Reduction to the pole and transformations of scattered magnetic data using Newtonian equivalent sourcesGeophysics, 2009
- Reduction of Magnetic Anomaly Observations from Helicopter Surveys at Varying ElevationsExploration Geophysics, 2006
- Stochastic gradient boostingComputational Statistics & Data Analysis, 2002
- Greedy function approximation: A gradient boosting machine.The Annals of Statistics, 2001
- Discrete linear transformations of potential field dataGeophysics, 1989
- Improved inversion of geopotential field anomalies for lithospheric investigationsGeophysics, 1988
- Biharmonic spline interpolation of GEOS‐3 and SEASAT altimeter dataGeophysical Research Letters, 1987
- Spherical earth gravity and magnetic anomaly analysis by equivalent point source inversionEarth and Planetary Science Letters, 1981