@Article{JCM-37-758,
author = {Zhang , Yuanping and Wang , Yanfei},
title = {Three-Dimensional Gravity-Magnetic Cross-Gradient Joint Inversion Based on Structural Coupling and a Fast Gradient Method},
journal = {Journal of Computational Mathematics},
year = {2019},
volume = {37},
number = {6},
pages = {758--777},
abstract = {<p style="text-align: justify;">In order to effectively solve the low precision problem of the single gravity density inversion and the magnetic susceptibility inversion, and the limitation of the gravity-magnetic
joint inversion method based on the petrophysical parameter constraint, this paper studies
the three-dimensional gravity-magnetic cross-gradient joint inversion based on the structural coupling and the fast optimization algorithm. Based on the forward and inversion
modeling of three-dimensional gravity density and three-dimensional magnetic susceptibility using the same underground grid, along with cross-gradient coupling as the structural
constraint, we propose a new gravity-magnetic joint inversion objective function including
the data fitting term, the total variation regularization constraint term and the cross-gradient term induced by the structural coupling. The depth weighted constraint and the
data weighting constraint are included into the objective function, which requires different
physical property models to minimize their respective data residuals. At the same time,
the cross-gradient term tends to zero, so that the structure of the gravity and magnetic models tends to be consistent. In realization, we address a fast and efficient gradient
algorithm to iteratively solve the objective function. We apply this new joint inversion
algorithm to the 3D gravity-magnetic model inversion test and compare it with the results
of a single inversion algorithm. The experimental tests of synthetic data indicate that
the gravity-magnetic cross-gradient joint inversion method can effectively improve the accuracy of the anomaly position and numerical accuracy of the inverted anomaly physical
parameters compared with the single physical inversion method.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.1905-m2018-0240},
url = {http://global-sci.org/intro/article_detail/jcm/13373.html}
}