https://github.com/leouieda/seg2011

Expanded abstract and slides for the talk "Robust 3D gravity gradient inversion by planting anomalous densities" given at the 2011 SEG Annual Meeting in San Antonio, USA
https://github.com/leouieda/seg2011

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Expanded abstract and slides for the talk "Robust 3D gravity gradient inversion by planting anomalous densities" given at the 2011 SEG Annual Meeting in San Antonio, USA

• Host: GitHub
• URL: https://github.com/leouieda/seg2011
• Owner: leouieda
• Created: 2014-01-15T16:32:47.000Z (over 10 years ago)
• Default Branch: master
• Last Pushed: 2014-01-15T16:34:33.000Z (over 10 years ago)
• Last Synced: 2024-06-12T17:33:30.741Z (4 months ago)
• Language: TeX
• Size: 29.7 MB
• Stars: 1
• Watchers: 3
• Forks: 1
• Open Issues: 0
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  • Readme: README.md

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README

        
Expanded abstract and slides for the talk given at the 2011 SEG Annual Meeting

in San Antonio, USA.

Results were generated using open-source software [Fatiando a

Terra](http://fatiando.org)

Published expanded abstract:

[doi:10.1190/1.3628201](http://library.seg.org/doi/abs/10.1190/1.3628201)

A PDF version of the expanded abstract is available from

[my personal page](http://fatiando.org/people/uieda/)

Slides are available on figshare:

[doi:10.6084/m9.figshare.156863](http://dx.doi.org/10.6084/m9.figshare.156863)

Citation:

Uieda, L., and V. C. F. Barbosa (2011), Robust 3D gravity gradient inversion by

planting anomalous densities, SEG Technical Program Expanded Abstracts, vol.

30, pp. 820-824, doi:10.1190/1.3628201.

# Robust 3D gravity gradient inversion by planting anomalous densities

**Leonardo Uieda and Valéria C. F. Barbosa**

We present a new gravity gradient inversion method for estimating a 3D

density-contrast distribution defined on a grid of prisms. Our method consists

of an iterative algorithm that does not require the solution of a large equation

system. Instead, the solution grows systematically around user-specified

prismatic elements called "seeds". Each seed can be assigned a different density

contrast, allowing the interpretation of multiple bodies with different density

contrasts and that produce interfering gravitational effects. The compactness of

the solution around the seeds is imposed by means of a regularizing function.

The solution grows by the accretion of neighboring prisms of the current

solution. The prisms for the accretion are chosen by systematically searching

the set of current neighboring prisms. Therefore, this approach allows that the

columns of the Jacobian matrix be calculated on demand, which greatly reduces

the demand of computer memory and processing time. Tests on synthetic data and

on real data collected over an iron ore province of Quadrilátero Ferrífero,

southeastern Brazil, confirmed the ability of our method in detecting sharp and

compact bodies.