Principal component analysis of anisotropic finite-frequency sensitivity kernels

Geophysical Journal International

Volumn 179, Issue 2, 2009, Pages 1186-1198

  Sieminski, Anne ^a   Trampert, Jeannot ^b   Tromp, Jeroen ^c  

^a UNIVERSITÉ GRENOBLE ALPES   (France)

^b UTRECHT UNIVERSITY   (Netherlands)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

Computational seismology; Inverse theory; Seismic anisotropy; Seismic tomography

Indexed keywords

DATA SET; INVERSE PROBLEM; PRINCIPAL COMPONENT ANALYSIS; RAYLEIGH WAVE; SEISMIC ANISOTROPY; SEISMIC DATA; SEISMIC TOMOGRAPHY; SEISMIC WAVE; SEISMOLOGY; THEORETICAL STUDY;

EID: 70350370089     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2009.04341.x     Document Type: Article

References (50)

1. Anderson DL. Elastic wave propagation in layered anisotropic media. J. geophys. Res. 1961, 66:2953-2963.
2. Babuška V, Cara M. Seismic Anisotropy in the Earth 1991, Kluwer Academic, Dordrecht
3. Backus GE. Possible forms of seismic anisotropy of the uppermost mantle under oceans. J. geophys. Res. 1965, 70:3429-3439.
4. Becker TW, Chevrot S, Schulte-Pelkum V, Blackman DK. Statistical properties of seismic anisotropy predicted by upper mantle geodynamic models. J. geophys. Res. 2006, 111:B08309. doi
5. Browayes JT, Chevrot S. Decomposition of the elastic tensor and geophysical applications. Geophys. J. Int. 2004, 159:667-678.
6. Chen M, Tromp J. Theoretical and numerical investigation of global and regional seismic wave propagation in weakly anisotropic Earth models. Geophys. J. Int. 2007, 168:1130-1152.
7. Chen P, Zhao L, Jordan TH. Full 3D tomography for the crustal structure of the Los Angeles region. Bull. seism. Soc. Am. 2007, 97:1094-1120.
8. Chevrot S. Multichannel analysis of shear wave splitting. J. geophys. Res. 2000, 105:21 579-21 590.
9. Chevrot S. Finite-frequency vectorial tomography: a new method for high resolution imaging of mantle anisotropy. Geophys. J. Int. 2006, 165:641-657.
10. Debayle E, Kennett BLN, Priestley K. Global azimuthal seismic anisotropy and the unique plate-motion deformation of Australia. Nature 2005, 433:509-512.
11. Deschamps F, Lebedev S, Meier T, Trampert J. Stratified seismic anisotropy reveals past and present deformation beneath the east-central United States. Earth planet. Sci. Lett. 2008, 274:489-498.
12. Dziewonski AM, Anderson DL. Preliminary Reference Earth Model. Phys. Earth planet. Inter. 1981, 25:297-356.
13. Favier N, Chevrot S. Sensitivity kernels for shear wave splitting in transverse isotropic media. Geophys. J. Int. 2003, 153:213-228.
14. Forsyth DW. The early structural evolution and anisotropy of the oceanic upper mantle. Geophys. J. R. astr. Soc. 1975, 43:103-162.
15. Hess HH. Seismic anisotropy of the uppermost mantle under oceans. Nature 1964, 203:629-631.
16. Kaminski E, Ribe NLM. Timescales for the evolution of seismic anisotropy in mantle flow. Geochem. Gephys. Geosyst. 2002, 3(1). doi
17. Komatitsch D, Tromp J. Spectral-element simulations of global seismic wave propagation-I. Validation. Geophys. J. Int. 2002a, 149:390-412.
18. Komatitsch D, Tromp J. Spectral-element simulations of global seismic wave propagation-II. Three-dimensional models, oceans, rotation and self-gravitation. Geophys. J. Int. 2002b, 150:303-318.
19. Landisman M, Dziewonski A, Sato Y. Recent improvements in the analysis of surface wave observations. Geophys. J. R. astr. Soc. 1969, 17:369-403.
20. Lévêque JJ, Debayle E, Maupin V. Anisotropy in the Indian Ocean upper mantle from Rayleigh- and Love-waveform inversion. Geophys. J. Int. 1998, 133:529-540.
21. Liu Q, Tromp J. Finite-frequency kernels based upon adjoint methods. Bull. seism. Soc. Am. 2006, 96:2383-2397.
22. Liu Q, Tromp J. Finite-frequency sensitivity kernels for global seismic wave propagation based upon adjoint methods. Geophys. J. Int. 2008, 174:265-286.
23. Long MD, de Hoop MV, van der Hilst RD. Wave-equation shear wave splitting tomography. Geophys. J. Int. 2007, 172:311-330.
24. Maggi A, Tape C, Chen M, Chao D, Tromp J. An automated time-window selection algorithm for seismic tomography. Geophys. J. Int. 2009, 178:257-281.
25. Maupin V, Park J, Romanowicz B, Dziewonski AM. Theory and Observations - Wave propagation in anisotropic media. Treatise in Geophysics 2007, Vol. 1:289-321. in, pp, eds, Elsevier, Amsterdam
26. Marone F, Romanowicz B. The depth distribution of azimuthal anisotropy in the continental upper mantle. Nature 2007, 447:198-201.
27. Marquering H, Dahlen FA, Nolet G. Three-dimensional sensitivity kernels for finite-frequency traveltimes: the banana-doughnut paradox. Geophys. J. Int. 1999, 137:805-815.
28. Montagner JP. Where can seismic anisotropy be detected in the Earth's mantle? In boundary layers.... Pure appl. geophys. 1998, 151:223-256.
29. Montagner JP, Jobert N. Vectorial tomography - II. Application to the Indian Ocean. Geophys. J. 1988, 94:309-344.
30. Montagner JP, Nataf HC. A simple method for inverting the azimuthal anisotropy of surface waves. J. geophys. Res. 1986, 91:511-520.
31. Montagner JP, Tanimoto T. Global upper mantle tomography of seismic velocities and anisotropies. J. geophys. Res. 1991, 96:20 337-20 351.
32. Montagner JP, Griot-Pommera DA, Lavé J. How to relate body wave and surface wave anisotropy?. J. geophys. Res. 2000, 105:19 015-19 027.
33. Panning MP, Nolet G. Surface wave tomography for azimuthal anisotropy in a strongly reduced parameter space. Geophys. J. Int. 2008, 174:629-648.
34. Silver PG. Seismic anisotropy beneath the continents: probing the depths of geology. Annu. Rev. Earth planet. Sci. 1996, 24:385-432.
35. Sieminski A, Liu Q, Trampert J, Tromp J. Finite-frequency sensitivity of surface waves to anisotropy based upon adjoint methods. Geophys. J. Int. 2007a, 168:1153-1174.
36. Sieminski A, Liu Q, Trampert J, Tromp J. Finite-frequency sensitivity of body waves to anisotropy based upon adjoint methods. Geophys. J. Int. 2007b, 171:368-389.
37. Sieminski A, Paulssen H, Trampert J, Tromp J. Finite-frequency SKS splitting: measurement and sensitivity kernels. Bull. seism. Soc. Am. 2008, 98:1797-1810.
38. Simons FJ, van der Hilst RD, Montagner JP, Zielhuis A. Multimode Rayleigh wave inversion for shear wave speed heterogeneity and azimuthal anisotropy of the Australian upper mantle. Geophys. J. Int. 2002, 151:738-754.
39. Smith ML, Dahlen FA. The azimuthal dependence of Love and Rayleigh wave propagation in a slightly anisotropic medium. J. geophys. Res. 1973, 78:3321-3333.
40. Tape C, Liu Q, Tromp J. Finite frequency tomography using adjoint methods-methodology and examples using membrane surface waves. Geophys. J. Int. 2007, 168:1105-1129.
41. Tarantola A. Inversion of seismic reflection data in acoustic approximation. Geophysics 1984, 49:1259-1266.
42. Thomsen L. Weak anisotropy. Geophysics 1986, 51:1954-1966.
43. Trampert J, van Heijst HJ. Global azimuthal anisotropy in the transition zone. Science 2002, 296:1297-1299.
44. Tromp J, Tape C, Liu Q. Seismic tomography, adjoint methods, time reversal and banana-doughnut kernels. Geophys. J. Int. 2005, 160:195-216.
45. Vinnik LP, Farra V, Romanowicz B. Azimuthal anisotropy in the Earth from observations of SKS at Geoscope and NARS broadband stations. Bull. seism. Soc. Am. 1989, 79:1542-1558.
46. Zhang S, Karato S-I. Lattice preferred orientation of olivien aggregates deformed in simple shear. Nature 1995, 375:774-777.
47. Zhao L, Jordan TH. Structural sensitivities of finite-frequency seismic waves: a full-wave approach. Geophys. J. Int. 2006, 165:981-990.
48. Zhao L, Jordan TH, Olsen KB, Chen P. Fréchet kernels for imaging regional Earth structure based on three-dimensional reference models. Bull. seism. Soc. Am. 2005, 95:2066-2080.
49. Zhou Y. Multimode surface wave sensitivity kernels in radially anisotropic earth media. Geophys. J. Int. 2009, 176:865-888.
50. Zhou Y, Dahlen FA, Nolet G. Three-dimensional sensitivity kernels for surface wave observables. Geophys. J. Int. 2004, 158:142-168.