https://github.com/leouieda/eage2011

Code, expanded abstract and poster "3D gravity gradient inversion by planting density anomalies" presented at the 2011 EAGE meeting in Viena, Austria
https://github.com/leouieda/eage2011

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Code, expanded abstract and poster "3D gravity gradient inversion by planting density anomalies" presented at the 2011 EAGE meeting in Viena, Austria

• Host: GitHub
• URL: https://github.com/leouieda/eage2011
• Owner: leouieda
• Created: 2014-01-15T16:09:40.000Z (over 10 years ago)
• Default Branch: master
• Last Pushed: 2014-01-15T16:10:32.000Z (over 10 years ago)
• Last Synced: 2024-06-12T17:33:22.338Z (4 months ago)
• Language: Python
• Size: 32.6 MB
• Stars: 3
• Watchers: 3
• Forks: 2
• Open Issues: 0
• Metadata Files:
  • Readme: README.md

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README

        
Code, expanded abstract and poster presented at the 2011 73th EAGE Conference

and Exhibition incorporating SPE EUROPEC in Viena, Austria

Results were generated using open-source software [Fatiando a

Terra](http://fatiando.org)

Poster is available on figshare:

[doi:10.6084/m9.figshare.91511](http://dx.doi.org/10.6084/m9.figshare.91511)

A PDF version of the expanded abstract is available from

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

Citation:

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

planting density anomalies, 73th EAGE Conference & Exhibition incorporating SPE

EUROPEC, pp. 1-5.

# 3D gravity gradient inversion by planting density anomalies

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

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

density-contrast distribution defined on a user-specified grid of prisms. Our

method consists of an iterative algorithm that does not require the solution of

large equation system. Instead, the solution grows systematically around

user-specified prismatic elements called “seeds”. Each seed can have a different

density contrast, allowing the interpretation of multiples bodies with different

density contrasts. The compactness of the solution is imposed by means of a

regularizing function that favors compact bodies closest to the priorly

specified seeds. The solution grows by accreting 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. This is a known

technique from computer science called “lazy evaluation”, which greatly reduces

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

multiple buried sources at different depths and on real data collected over iron

deposits located in the Quadrilátero Ferrífero, southeastern region of Brazil,

confirmed the ability of our method in detecting sharp and compact bodies.