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

3. None

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

8. None
9. None

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

29. None
30. None
31. None

32. SOA

33. SOA

34. SOA SOA

35. SOA SOA

36. None

37. SOA

38. SOA

39. SOA SOA

40. None

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