Use of the "shape-of-anomaly" data misfit in 3D inversion by planting anomalous densities

Transcript

1. Use of the “shape-of-anomaly” data misfit in 3D inversion by planting anomalous densities Leonardo Uieda Valéria C. F. Barbosa
2. Difference in shape
4. Scale factor: d i =α g i
5. Scale factor: d i =α g i SOA= √∑ i=1 N (α g i −d i )2
6. 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
7. d , g α SOA Predicted (model) Observed
10. Planting anomalous densities
11. g i (observed)
12. mesh
13. seed d i (predicted)
14. Choose the best: φ= √∑ i=1 N (g i −d i )2 min of Γ=φ+μθ & compactness
15. Choose the best: φ= √∑ i=1 N (g i −d i )2 min of Γ=SOA+μθ & Exchange for shape-of-anomaly
16. Γ=φ+μθ Γ=SOA+μθ SOA SOA
17. Γ=φ+μθ Γ=SOA+μθ SOA SOA
18. Γ=φ+μθ Γ=SOA+μθ SOA SOA
19. Γ=φ+μθ Γ=SOA+μθ SOA SOA
20. Γ=φ+μθ Γ=SOA+μθ SOA SOA
21. Γ=φ+μθ Γ=SOA+μθ SOA SOA
22. Γ=φ+μθ Γ=SOA+μθ SOA SOA
23. Γ=φ+μθ Γ=SOA+μθ SOA SOA
24. Γ=φ+μθ Γ=SOA+μθ SOA SOA
25. Γ=φ+μθ Γ=SOA+μθ SOA SOA
26. Γ=φ+μθ Γ=SOA+μθ SOA SOA
27. Γ=φ+μθ Γ=SOA+μθ SOA SOA
28. Synthetic tests
32. SOA
33. SOA
34. SOA SOA
35. SOA SOA
37. SOA
38. SOA
39. SOA SOA
41. SOA
42. SOA
43. SOA SOA
44. Redenção granite
45. Bouguer anomaly Outcrop
46. Oliveira et al.(2008) Bouguer anomaly ~ 6 km
47. Oliveira et al.(2008) Bouguer anomaly Seed at 3km ~ 6 km
48. SOA Known outcrop
49. SOA Outcrop at wrong place Known outcrop
50. SOA Outcrop at wrong place ~ 9 km Known outcrop
51. SOA
52. SOA Outcrop at right place
53. SOA Outcrop at right place ~ 6 km
54. 5 SOA SOA
55. 5 SOA SOA 6 km
56. In conclusion
57. SOA SOA
58. SOA SOA
59. SOA SOA
60. SOA SOA