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

Leonardo Uieda
September 10, 2012
Science
0
490

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

  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