학술논문

Weighted cross-gradient function for joint inversion with the application to regional 3-D gravity and magnetic anomalies.
Document Type
Article
Author
Source
Geophysical Journal International. Jun2019, Vol. 217 Issue 3, p2035-2046. 12p.
Subject
*MAGNETIC anomalies
*GRAVITY anomalies
*COST functions
*MATHEMATICAL regularization
Language
ISSN
0956-540X
Abstract
In the absence of quantitative relationships, a cross-gradient function can be used to correlate unknown physical properties in a joint inversion of geophysical data sets. It introduces a structural correlation between properties. A commonly used, inexact approach adds a weighted cross-gradient term as a penalty to the cost function being minimized during inversion. This weighting factor needs to be tuned to balance the regularization and cross-gradient terms. In this paper we propose nonlinear weighting for the cross-gradient function which addresses the very different magnitudes of the cross-gradient and regularization terms. This approach also couples the weighting factors for the regularization and correlation terms reducing the number of tuning parameters. The approach is investigated for a synthetic case. Results are also shown for the 3-D joint inversion of high-resolution magnetic and gravity anomaly data from Southern Queensland in Australia with over 30 million cells. [ABSTRACT FROM AUTHOR]