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Rapid 3D inversion of gravity and gravity gradi...
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Leonardo Uieda
October 15, 2012
Science
1
350
Rapid 3D inversion of gravity and gravity gradient data to test geologic hypotheses
Leonardo Uieda
October 15, 2012
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Transcript
Rapid 3D inversion of gravity and gravity gradient data to
test geologic hypotheses Leonardo Uieda Valéria C. F. Barbosa Observatório Nacional Rio de Janeiro, Brazil GGHS2012 S7-044
Forward modeling
Observed Predicted Model
✔ Control ✔ Prior information ✔ Speed ✗ Tedious ✗
Gravity + gradients ✗ 3D
Geophysical inversion
Inversion Observed data 3D model
Prior information Regularization: • Damping • Smoothness Inversion Observed data
3D model
✔ Automatic fit ✔ Gravity + gradients ✔ 3D ✗
Control ✗ Prior information ✗ Speed
Source http://xkcd.com/747 Something in the middle
Planting anomalous densities Uieda and Barbosa (2012), Geophysics
Observed data Mesh
Zero density contrast
Seeds (user specified) Predicted data
Neighbors
The best New predicted data
The best New predicted data
None
None
None
None
None
None
None
None
Fit!
Seeds = Skeleton Source http://www.sciencebuzz.org
Inversion Body Source http://dinocrisis.wikia.com
✔ Control ✔ Prior information ✔ Speed ✔ Automatic fit
✔ Gravity + Gradients ✔ 3D (only need skeleton) Seeds
Example applications
Redenção granite
Outcrop
Oliveira et al. (2008)
Seed Density contrast = -0.09 g.cm-3
None
Quadrilátero Ferrífero
Complex geology and topography
Complex geology and topography Iron ore deposits
Seeds
None
Hypothesis testing Registro do Araguaia intrusion
Registro do araguaia • Not outcropping • Alkaline intrusion •
Density contrast ≈0.3 g.cm-3
After Dutra et al. (2012)
After Dutra et al. (2012)
3D gravity inversion (Dutra et al., 2012) Bottom = 18
km
Hypothesis 1
18 km
None
None
Hypothesis 1
Hypothesis 1 X
Hypothesis 2
18 km 5 km
None
None
Hypothesis 2
Hypothesis 2 X
Hypothesis 3
5 km
None
None
Outcropping
Hypothesis 3
Hypothesis 3 X
Hypothesis 4
5 km
Density 0.5 g.cm-3
None
Not outcropping
Not outcropping
Hypothesis 4
Hypothesis 4 V
Conclusion • 3D forward modeling = difficult • Traditional 3D
inversion = not flexible • Planting densities = fast + flexible