Gravity inversion in spherical coordinates using tesseroids

Gravity inversion in spherical coordinates using tesseroids

84d34651c3931a54310a57484a109821?s=128

Leonardo Uieda

May 01, 2014
Tweet

Transcript

  1. Gravity inversion in spherical coordinates using tesseroids Leonardo Uieda Valéria

    C. F. Barbosa
  2. vs Cartesian Spherical

  3. Existing inversion with tesseroids (Chaves and Ussami, 2013) • Geoid

    height anomalies • Space domain • Regularization: – Depth-weighted Minimum Volume – Similarity to seismic tomography
  4. Adapt Planting anomalous densities (Uieda and Barbosa, 2012)

  5. Planting anomalous densities • Space domain • Multicomponent: gravity +

    gradients • Non-conventional inversion – Growth algorithm – No linear systems – Efficient sensitivity computations
  6. None
  7. Seed

  8. None
  9. None
  10. None
  11. None
  12. None
  13. None
  14. None
  15. None
  16. None
  17. None
  18. None
  19. Synthetics • Possible applications • Advantages • Shortcomings

  20. Lineament with dense rocks (magmatic) Inspired by Chad lineament model

    (Braitenberg et al, 2011)
  21. After Braitenberg et al (2011)

  22. After Braitenberg et al (2011)

  23. 10º N 300 kg.m-3 2º 8km top=1 km

  24. gzz At 20 km

  25. Seeds

  26. observed predicted

  27. None
  28. What if height=120 km?

  29. at 120 km at 20 km

  30. observed predicted

  31. at 120 km at 20 km

  32. Even higher height=270 km

  33. at 270 km at 120 km

  34. observed predicted

  35. at 270 km at 120 km

  36. Magmatic underplating Inspired by model of the Paraná basin by

    Mariani et al (2013)
  37. After Mariani et al (2013)

  38. After Mariani et al (2013)

  39. 10º N 200 kg.m-3 15 km 5º 10º top=30 km

  40. gzz at 250 km

  41. Seed

  42. None
  43. What if I use wrong density?

  44. 150 kg.m-3 250 kg.m-3

  45. In conclusion

  46. None
  47. for tesseroids

  48. Works well

  49. height matters 20km 250km

  50. correct dense correct dense

  51. Future • Combinations of tensor components • Dipping sources (subducting

    plate) • Real data (open for collaboration)
  52. OPEN SOURCE fatiando.org github.com/leouieda/egu2014

  53. Extra

  54. (Hypothetical) Mantle Plume Inspired by synthetics in Chaves and Ussami

    (2013)
  55. After Chaves and Ussami (2013)

  56. top=100 km 200 km 700 km 2º -50 kg.m-3

  57. gzz at 250 km

  58. Seed

  59. None
  60. Joint gz + gzz?

  61. Same seed

  62. gz gzz

  63. gzz Joint

  64. gzz Joint

  65. single vs joint