Global seismic tomography: The inverse problem and beyond

Inverse Problems

Volumn 14, Issue 3, 1998, Pages 371-385

  Trampert, J ^a  

^a UTRECHT UNIVERSITY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000557573     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/14/3/002     Document Type: Article

References (41)

1. Backus G and Gilbert F 1968 The resolving power of gross Earth data Geophys. J. R. Astron. Soc. 16 169-205
2. Curtis A and Snieder R 1997 Reconditioning inverse problems using the genetic algorithm and revised parameterization Geophys. 62 1524-32
3. Dziewonski A M 1996 Earth's mantle in three dimensions Seismic Modelling of Earth Structure ed E Boschi et al (Rome: Instituto Natzionale di Geofisica) pp 507-72
4. Dziewonski A M and Woodhouse J H 1987 Global images of the Earth's interior Science 236 37-48
5. Grant S P 1994 Mantle shear structure beneath the Americas and the surrounding oceans J. Geophys. Res. 99 11 591-621
6. Grünbaum F A 1992 Diffuse tomography: the isotropic case Inverse Problems 8 409-19
7. Grünbaum F A and Zubelli J P 1992 Diffuse tomography: computational aspects of the isotropic case Inverse Problems 8 421-33
8. Gudmundsson Ó, Davis J H and Clayton R W 1990 Stochastic analysis of global travel time data: mantle heterogeneity and random errors in the ISC data Geophys. J. Int. 102 25-43
9. Hager B H, Clayton R W, Richards M A, Corner R P and Dziewonski A M 1985 Lower mantle heterogeneity, dynamic topography and the geoid Nature 313 541-5
10. Jackson A 1994 An approach to estimation problems containing uncertain parameters Phys. Earth Planet. Inter. 90 145-56
11. Lévêque J-J, Rivera L and Wittlinger G 1993 On the use of the checker-board test to assess the resolution of tomographic inversion Geophys. J. Int. 115 313-18
12. Masters G 1989 Low frequency seismology and the three-dimensional structure of the Earth Phil. Trans. R. Soc. 328 479-522
13. Masters G and Shearer P 1995 Seismic models of the Earth: elastic and anelastic Global Earth Physics: A Handbook of Physical Constants AGU reference shelf 1, ed T J Ahrens (Washington, DC: Amercian Geophysical Union) pp 88-103
14. Menke W 1989 Geophysical Data Analyses: Discrete Inverse Theory (New York: Academic)
15. Mochizuki E 1993 Spherical harmonic analyses in terms of line integrals Phys. Earth Planet. Inter. 76 97-101
16. Montagner J-P 1994 Can seismology tell us anything about convection in the mantle Rev. Geophys. 32 115-38
17. Olsen P and Glatzmaier G A 1996 Magnetoconvection and thermal coupling of the Earth's core and mantle Phil. Trans. R. Soc. 354 1-12
18. Parker R L 1994 Geophysical Inverse Theory (Princeton, NJ: Princeton University Press)
19. Passier M L and Snieder R K 1995 On the presence of intermediate-scale heterogeneity in the upper mantle Geophys. J. Int. 123 817-37
20. Pulliam R J and Stark P B 1994 Confidence regions for mantle heterogeneity J. Geophys. Res. 99 6931-43
21. Ritzwoller M H and Lavely E M 1995 Three-dimensional seismic models of the Earth's mantle Rev. Geophvs. 33 1-66
22. Robertson G S and Woodhouse J H 1996 Constraints on the physical properties of the mantle from seismology and mineral physics Earth Planet. Sci. Lett. 143 197-205
23. Romanowicz B 1991 Seismic tomography of the Earth's mantle Ann. Rev. Earth Planet. Sci. 19 77-99
24. Sambridge M 1990 Nonlinear arrival time inversion: constraining velocity anomalies by seeking smooth models in 3-D Geophys. J. Int. 102 653-77
25. Sambridge M and Gudmundsson Ó 1998 Tomographic systems of equations with irregular cells J. Geophys. Res. 103 773-81
26. Scales J A and Snieder R K 1997 To Bayes or not to Bayes Geophys. 62 1045-6
27. Sen M and Stoffa P L 1995 Global Optimisation Methods in Geophysical Inversion (Amsterdam: Elsevier)
28. Snieder R 1991 An extension of Backus-Gilbert theory to nonlinear inverse problems Inverse Problems 7 403-33
29. Snieder R, Beckers J and Neele F 1991 The effect of small-scale structure on normal mode frequencies and global inversions J. Geophys. Res. 96 501-15
30. Su W J and Dziewonski A M 1991 Predominance of long-wavelength heterogeneity in the mantle Nature 352 121-6
31. Su W J, Woodward R L and Dziewonski A M 1992 Deep origin of mid-oceanic ridge seismic velocity anomalies Nature 360 149-52
32. _ 1994 Degree-12 model of shear velocity heterogeneity in the mantle J. Geophys. Res. 99 6945-80
33. Tackley P J, Stevenson D J, Glatzmaier G A and Schubert G 1994 Effects of multiple phase transitions in a 3-D spherical model of convection in the Earth's mantle J. Geophys. Res. 99 15877-902
34. Tarantola A 1987 Inverse Problem Theory, Methods for Data Fitting and Model Parameter Estimation (Amsterdam: Elsevier)
35. Trampert J and Lévêque J-J 1990 Simultaneous iterative reconstruction technique: physical interpretation based on the generalized least squares solution J. Geophys. Res. 95 12553-9
36. Trampert J and Snieder R 1996 Model estimations biased by truncated expansions: possible artifacts in global tomography Science 271 1257-60
37. Van der Hilst R D, Widiyantoro S and Engdahl E R 1997 Evidence for deep mantle circulation from global tomography Nature 386 578-84
38. Woodhouse J H 1978 The linear inversion of travel times EOS 60 p 317
39. Woodhouse J H and Dziewonski A M 1989 Seismic modelling of the Earth's large-scale three dimensional structure Phil Trans. R. Soc. 328 291-308
40. Woodhouse J H and Trampert J 1996 New geodynamical constraints from seismic tomography Earth Planet. Sci. Lett. submitted
41. Vasco D W 1997 Groups, algebras, and the nonlinearity of geophysical inverse problems Geophys. J. Int. 131 9-23