Tomographic resolution of ray and finite-frequency methods: A membrane-wave investigation

Geophysical Journal International

Volumn 177, Issue 2, 2009, Pages 624-638

  Peter, D ^a,c   Boschi, L ^a   Woodhouse, J H ^b  

^a ETH ZURICH   (Switzerland)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c PRINCETON UNIVERSITY   (United States)

Author keywords

Seismic tomography; Surface waves and free oscillations; Wave scattering and diffraction

Indexed keywords

ELASTIC WAVE; IMAGE RESOLUTION; INVERSE PROBLEM; PHASE VELOCITY; SEISMIC TOMOGRAPHY; SEISMOLOGY; STRUCTURAL GEOLOGY; THEORETICAL STUDY; WAVE DIFFRACTION; WAVE PROPAGATION; WAVE SCATTERING;

EID: 64849089610     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2009.04098.x     Document Type: Article

References (48)

1. Baig, A.M. & Dahlen, F.A., 2004. Statistics of traveltimes and amplitudes in random media, Geophys. J. Int., 158, 187-210.
2. Baig, A.M., Dahlen, F.A. & Hung, S.H., 2003. Traveltimes of waves in three-dimensional random media, Geophys. J. Int., 153, 467-482.
3. Boschi, L., 2003. Measures of resolution in global body wave tomography, Geophys. Res. Lett., 30, 1978, doi: 10.1029/2003GL018222.
4. Boschi, L., 2006. Global multiresolution models of surface wave propagation: Comparing equivalently regularized Born and ray theoretical solutions, Geophys. J. Int., 167, 238-252.
5. Boschi, L. & Ekström, G., 2002. New images of the Earth's upper mantle from measurements of surface wave phase velocity anomalies, J. geophys. Res. Solid Earth, 107, doi: 10.1029/2000JB000059.
6. Boschi, L. & Woodhouse, J.H., 2006. Surface wave ray tracing and azimuthal anisotropy: A generalized spherical harmonic approach, Geophys. J. Int., 164, 569-578.
7. Boschi, L., Becker, T.W., Soldati, G. & Dziewonski, A.M., 2006. On the relevance of Born theory in global seismic tomography, Geophys. Res. Lett., 33, L06302, doi: 10.1029/2005GL025063.
8. Boschi, L., Ampuero, J.-P., Peter, D., Mai, P.M., Soldati, G. & Giardini, D., 2007. Petascale computing and resolution in global seismic tomography, Phys. Earth planet. Inter., 163, 245-250.
9. Capdeville, Y., 2005. An efficient Born normal mode method to compute sensitivity kernels and synthetic seismograms in the Earth, Geophys. J. Int., 163, 639-646.
10. Dahlen, F.A., 2004. Resolution limit of traveltime tomography, Geophys. J. Int., 157, 315-331.
11. Dahlen, F.A., Hung, S.H. & Nolet, G., 2000. Fréchet kernals for finite-frequency travel times - I. Theory, Geophys. J. Int., 141, 157-174.
12. Ekström, G., Tromp, J. & Larson, E.W.F., 1997. Measurements and global models of surface wave propagation, J. geophys. Res., 102, 8137-8157.
13. Ferreira, A.M.G., 2005. Seismic surface waves in the laterally heterogeneous Earth, DPhil thesis, University of Oxford, UK.
14. Ferreira, A.M.G. & Woodhouse, J.H., 2007. Source, path and receiver effects on seismic surface waves, Geophys. J. Int., 168, 109-132.
15. Gilbert, F., 1976. The representation of seismic displacements in terms of travelling waves, Geophys. J. R. astr. Soc., 44, 275-280.
16. Hansen, P.C., 1992. Analysis of discrete ill-posed problems by means of the L-curve, Siam Rev., 34, 561-580.
17. Hansen, P.C., 2001. The L-Curve and its Use in the Numerical Treatment of Inverse Problems, Computational Inverse Problems in Electrocardiology, Vol. 5, pp. 119-142, WIT press, Southampton.
18. Hansen, P.C. & O'Leary, D.P., 1993. The use of the L-curve in the regularization of discrete ill-posed problems, Siam J. Sci. Comput., 14, 1487-1503.
19. Hung, S.H., Dahlen, F.A. & Nolet, G., 2000. Fréchet kernals for finite-frequency travel times - II. Examples, Geophys. J. Int., 141, 175-203.
20. Laske, G., 1995. Global observation of off-great-circle propagation of long-period surface waves, Geophys. J. Int., 123, 245-259.
21. Laske, G. & Masters, G., 1996. Constraints on global phase velocity maps from long-period polarization data, J. geophys. Res., 101, 16059-16075.
22. Lévêque, J.J., Rivera, L. & Wittlinger, G., 1993. On the use of the checkerboard test to assess the resolution of tomographic inversions, Geophys. J. Int., 115, 313-318.
23. Marquering, H., Nolet, G. & Dahlen, F.A., 1998. Three-dimensional waveform sensitivity kernels, Geophys. J. Int., 132, 521-534.
24. Meier, T., Lebedev, S., Nolet, G. & Dahlen, F.A., 1997. Diffraction tomography using multimode surface waves, J. geophys. Res., 102, 8255-8267.
25. Nelder, J.A. & Mead, R., 1965. A simplex-method for function minimization, Computer J., 7, 308-313.
26. Paige, C.C. & Saunders, M.A., 1982. LSQR-an algorithm for sparse linear-equations and sparse least-squares, Acm Trans. Math. Softw., 1, 43-71.
27. Peter, D., Tape, C., Boschi, L. & Woodhouse, J.H., 2007. Surface wave tomography: Global membrane waves and adjoint methods, Geophys. J. Int., 171, 1098-1117.
28. Qin, Y., Capdeville, Y., Maupin, V., Montagner, J.-P., Lebedev, S. & Beucler, E., 2008. SPICE benchmark for global tomographic methods, Geophys. J. Int., 175, 598-616.
29. Ritzwoller, M.H., Shapiro, N.M., Barmin, M.P. & Levshin, A.L., 2002. Global surface wave diffraction tomography, J. geophys. Res., 107, 2335, doi: 10.1029/2002JB001777.
30. Sieminski, A., Lévêque, J.J. & Debayle, E. 2004. Can finite-frequency effects be accounted for in ray theory surface wave tomography?, Geophys. Res. Lett., 31, L24614.
31. Spetzler, J. & Snieder, R., 2001. The effect of small-scale heterogeneity on the arrival time of waves, Geophys. J. Int., 145, 786-796.
32. Spetzler, J., Trampert, J. & Snieder, R., 2002. The effect of scattering in surface wave tomography, Geophys. J. Int., 149, 755-767.
33. Tanimoto, T., 1990. Modeling curved surface-wave paths-membrane-surface wave synthetics, Geophys. J. Int., 102, 89-100.
34. Tape, C.H., 2003. Waves on a spherical membrane, M.Sc. thesis, University of Oxford, UK.
35. Trampert, J. & Woodhouse, J.H., 1995. Global phase velocity maps of Love and Rayleigh waves between 40 and 150 seconds, Geophys. J. Int., 122, 675-690.
36. Trampert, J. & Woodhouse, J.H., 1996. High resolution global phase velocity distribution, Geophys. Res. Lett., 23, 21-24.
37. Trampert, J. & Woodhouse, J.H., 2001. Assessment of global phase velocity models, Geophys. J. Int., 144, 165-174.
38. Trampert, J. & Spetzler, J., 2006. Surface wave tomography: finite-frequeny effects lost in the null space, Geophys. J. Int., 164, 394-400.
39. Tromp, J., Tape, C. & Liu, Q.Y., 2005. Seismic tomography, adjoint methods, time reversal and banana-doughnut kernels, Geophys. J. Int., 160, 195-216.
40. van Heijst, H.J. & Woodhouse, J.H., 1999. Global high-resolution phase velocity distributions of overtone and fundamental-mode surface waves determined by mode branch stripping, Geophys. J. Int., 137, 601-620.
41. Wang, Z. & Dahlen, F.A., 1994. JWKB surface-wave seismograms on a laterally heterogeneous Earth, Geophys. J. Int., 119, 381-401.
42. Wessel, P. & Smith, W.H.F., 1991. Free software helps map and display data, EOS, Trans. Am. geophys. Un., 72(41), 441.
43. Woodhouse, J.H. & Girnius, T.P., 1982. Surface-waves and free oscillations in a regionalized earth model, Geophys. J. R. astr. Soc., 68, 653-673.
44. Woodhouse, J.H. & Wong, Y.K., 1986. Amplitude, phase and path anomalies of mantle waves, Geophys. J. R. astr. Soc., 87, 753-773.
45. Yang, H.Y. & Hung, S.H., 2005. Validation of ray and wave theoretical travel times in heterogeneous random media, Geophys. Res. Lett., 32, L20302.
46. Yoshizawa, K. & Kennett, B.L.N., 2005. Sensitivity kernels for finite-frequency surface waves, Geophys. J. Int., 162, 910-926.
47. Zhou, Y., Dahlen, F.A. & Nolet, G., 2004. Three-dimensional sensitivity kernels for surface wave observables, Geophys. J. Int., 158, 142-168.
48. Zhou, Y., Dahlen, F.A., Nolet, G. & Laske, G., 2005. Finite-frequency effects in global surface-wave tomography, Geophys. J. Int., 163, 1087-1111.