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Use of the "shape-of-anomaly" data misfit in 3D...
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Leonardo Uieda
September 10, 2012
Science
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500
Use of the "shape-of-anomaly" data misfit in 3D inversion by planting anomalous densities
Leonardo Uieda
September 10, 2012
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Transcript
Use of the “shape-of-anomaly” data misfit in 3D inversion by
planting anomalous densities Leonardo Uieda Valéria C. F. Barbosa
Difference in shape
None
Scale factor: d i =α g i
Scale factor: d i =α g i SOA= √∑ i=1
N (α g i −d i )2
Scale factor: d i =α g i SOA= √∑ i=1
N (α g i −d i )2 minSOA α= ∑ i=1 N g i d i ∑ i=1 N g i 2
d , g α SOA Predicted (model) Observed
None
None
Planting anomalous densities
g i (observed)
mesh
seed d i (predicted)
Choose the best: φ= √∑ i=1 N (g i −d
i )2 min of Γ=φ+μθ & compactness
Choose the best: φ= √∑ i=1 N (g i −d
i )2 min of Γ=SOA+μθ & Exchange for shape-of-anomaly
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Γ=φ+μθ Γ=SOA+μθ SOA SOA
Synthetic tests
None
None
None
SOA
SOA
SOA SOA
SOA SOA
None
SOA
SOA
SOA SOA
None
SOA
SOA
SOA SOA
Redenção granite
Bouguer anomaly Outcrop
Oliveira et al.(2008) Bouguer anomaly ~ 6 km
Oliveira et al.(2008) Bouguer anomaly Seed at 3km ~ 6
km
SOA Known outcrop
SOA Outcrop at wrong place Known outcrop
SOA Outcrop at wrong place ~ 9 km Known outcrop
SOA
SOA Outcrop at right place
SOA Outcrop at right place ~ 6 km
5 SOA SOA
5 SOA SOA 6 km
In conclusion
SOA SOA
SOA SOA
SOA SOA
SOA SOA