Non-linear traveltime inversion for 3-D seismic tomography in strongly anisotropic media

Geophysical Journal International

Volumn 172, Issue 1, 2008, Pages 383-394

  Zhou, Bing ^a   Greenhalgh, Stewart ^a,b  

^a UNIVERSITY OF ADELAIDE   (Australia)

^b ETH ZURICH   (Switzerland)

Author keywords

Body waves; Inverse theory; Seismic anisotropy; Tomography

Indexed keywords

BODY WAVE; DATA INVERSION; INVERSE ANALYSIS; SEISMIC ANISOTROPY; SEISMIC TOMOGRAPHY; TRAVEL TIME; WAVE EQUATION;

EID: 37449000250     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2007.03649.x     Document Type: Article

References (62)

1. Aki, K., Christofferson, A. & Husebye, E., 1977. Determination of the three-dimensional seismic structure of the lithosphere, J. geophys. Res., 82, 277-296.
2. Anderson, D.L. & Dziewonski, A.M., 1982. Upper mantle anisotropy: evidence from free oscillation, Geophys. J. R. Astr. Soc., 69, 383-404.
3. Aster, R.C., Borches, B. & Thurber, C.H., 2005. Parameter Estimation and Inverse Problems. Elsevier, Amsterdam.
4. Bai, C.-Y. & Greenhalgh, S.A., 2005. 3-D nonlinear travel-time tomography: Imaging high constrast velocity anomalies, Pure Appl. Geophys., 162, 2029-2049.
5. Bregman, N.D., Bailey, R.C. & Chapman, C.H., 1989. Determination of the three dimensional seismic structure of the lithosphere, J. geophys. Res., 28, 277-296.
6. Carrion, P.M., 1989. Generalized non-linear elastic inversion with constraints in model and data spaces, Geophys. J., 96, 151-162.
7. Červeny, V., 1972. Seismic rays and ray intensities in inhomogenous anisotropic media, Geophys. J. R. Astr. Soc., 29, 1-13.
8. Červeny, V., 1982. Direct and inverse kinematic problems for inhomogeneous anisotropic media -linearized approach, Contr. Geophys. Inst. Slov. Aca. Sci., 13. 127-133.
9. Červeny, V. & Firbas, P., 1984. Numerical modelling and inversion of traveltimes of seismic body waves in inhomogeneous anisotropic media, Geophys. J.R. Astr. Soc., 76, 41-51.
10. Červeny, V. & Jech, J., 1982. Linearized solutions of kinematic problems of seismic body waves in inhomogeneous slightly anisotropic media, J. Geophys., 51, 96-104.
11. Chapman, C.H. & Miller, D.E., 1996. Velocity sensitivity in transversely isotropic media, Geophys. Prospect., 44, 525-549.
12. Chapman, C.H. & Pratt, R.G., 1992. Traveltime tomography in anisotropic media -I Theory, Geophys. J. Int., 109, 1-19.
13. Cheng, N. & House, L., 1996. Minimum traveltime calculations in 3-D graph theory, Geophysics, 61, 1895-1898.
14. Crampin, S., 1981. A review of wave motion in anisotropic and cracked elastic-media, Wave Motion, 3, 343-391.
15. Crampin, S., 1984. Effective anisotropic constants for wave-propagation through cracked solids, J. Roy. Astr. Soc., 76, 135-145.
16. Crampin, S. & Yedlin, M., 1981. Shear-wave singularities of wave propagation in anisotropic media, J. Geophys., 49, 43-46.
17. Daley, P.F. & Hron, F., 1977 Reflection and transmission coefficients for transversely isotropic media, Bull. seism. Soc. Am., 67, 661-675
18. Day, A.J., Peirce, C. & Sinha, M.C., 2001. Three-dimensional crustal structure and magma chamber geometry at the intermediate-spreading, back-arc Valu Fa Ridge, Lau Basin -results of s wide-angle seismic tomographic inversion, Geophys. J. Int., 146, 31-52.
19. Eberhart-Philips, D. & Henderson, C.M., 2004. Including anisotropy in 3-D velocity inversion and application to Marlborough, New Zealand, Geophys. J. Int., 156, 237-254.
20. Farra, V. & Le Begat, S., 1995. Sensitivity of qP-wave traveltimes and polarization vector to heterogeneity, anisotropy, and interfaces, Geophys. J. Int., 121, 371-384.
21. Gajewski, D. & Pšenčik, I., 1987. Computation of high-frequency seismic wavefields in 3-D lateral inhomogenous, anisotropic media, Geophys. J. R. Astro. Soc., 91, 383-411.
22. Greenhalgh, S.A. & Zhou, B., 2003. Surface seismic imaging with multi-frequency full-waveform inversion, Explor. Geophys., 34, 217-224.
23. Greenhalgh, S.A., Zhou, B. & Green, A., 2006. Solutions, algorithms and inter-relations for local minimization search geophysical inversion, J. Geophys. Eng., 3, 101-113.
24. Hanyga, A., 1982. The kinematic inversion problem for weakly laterally inhomogenous anisotropic media, Tectonophysics, 90, 253-262.
25. Helbig, K., 1981. Systematic classification of layered-induced transverse isotropy, Geophys. Prospect., 29, 550-577.
26. Helbig, K., 1994. Foundations of anisotropy for exploration seismics, in Handbook of Geophysical Exploration Section I. Seismic Exploration, eds Helbig, K. & Treitel, S., Pergamon, Oxford.
27. Hirahara, K. & Ishikawa, Y., 1984. Traveltime inversion for three-dimentonal P-wave velocity anisotropy, J. Phys. Earth, 32, 197-218.
28. Jech, J., 1988. Three-dimensional inverse problem for inhomogeneous transversely isotropic media, Stud. Geophys. Geod., 32, 136-143.
29. Jech, J. & Pšenčik, I., 1989. First-order perturbation method for anisotropic media, Geophys. J. Int., 99, 369-376.
30. Kim, S. & Cook, R., 1999. 3D traveltime computation using second-order ENO scheme, Geophysics, 64, 1867-1876.
31. Klimes, L. & Kvasnicka, M., 1994. 3-D network ray tracing, Geophys. J. Int., 116, 726-738.
32. Menke, W., 1984. Geophysical Data Analysis: Discrete Inverse Theory, Academic Press, Inc, London.
33. Moser, T.J., 1991. Shortest path calculation of seismic rays, Geophysics, 56, 59-67.
34. Muagrave, M.J.P., 1970. Crystal Acoustic, Introduction to the Study of Elastic Waves and Vibrations in Crystals, Holden-Day, San Freancisco.
35. Nataf, H.C., Nakanish, D.L., Aderson, D.L., 1986. Measurement of mantle wave velocities and inversion of mantle velocities and inversion for lateral heterogeneities and anisotropy 3. Inversion, J. geophys. Res., 91, 7261-7307.
36. Nolet, G., 1987. Seismic Wave Propagation and Seismic Tomography, in 'Seismic Tomography with Applications in Global Seismology and Exploration Geophysics', D. Reidel Publ. Co, Dordrecht, Holland.
37. Pratt, R.G., 1999. Seismic waveform inversion in the frequency-domain, Part 1: Theory and verification in a physical scale model, Geophysics, 64, 888-901.
38. Pratt, R.G. & Chapman, C.H., 1992. Traveltime tomography in anisotropic media -II Application, Geophys. J. Int., 109, 20-37.
39. Pratt, R.G. & Shipp, R.M., 1999. Seismic waveform inversion in the frequency-domain, Part 2: Fault delineation in sediments using crosshole data, Geophysics, 64, 902-914.
40. Qian, J. & Symes, W.W., 2002. An adaptive finite-difference method for traveltimes and amplitudes, Geophysics, 67, 167-176.
41. Rawlinson, N. & Sambridge, M., 2004. Wave front evolution in strongly heterogeneous layered media using the fast marching method. Geophys. J. Int., 156(3), 631-647.
42. Sambridge, M., 1990. Non-linear arrival time inversion: Constraining velocity anomalies by seeking smoothing models in 3-D, Geophys. J. Int., 102, 653-677.
43. Sehudandi, C. & Toint, P.L., 1993. Non-linear optimization for seimic travel-time tomography, Geophys. J. Int., 105, 929-940.
44. Sethian, J.A. & Popovici, A.M., 1999. 3-D traveltime computation using the fast marching method, Geophysics, 64, 516-523
45. Shearer, P.M. & Chapman, C.H., 1988. Ray tracing in anisotropic media with a linear gradient, Geophys. J. Int., 94, 575-580.
46. Takeuchi, H. & Satio, M., 1972. Seismic surface wave, Methods Comput. Phys., 11, 217-295.
47. Tanimoto, T. & Anderson, D.L., 1985. Materal heterogeneity and azimuthal anisotropy of the upper mantle: Love and Rayleigh waves 100-200s, J. geophys. Res., 90, 1842-1858.
48. Tarantola, A., 1984. Inversion of seismic reflection reflection data in the acoustic approximation, Geophysics, 49, 1259-1266.
49. Tarantola, A., 1987. Inverse Problem Theory, Methods for Data Fitting and Model Parameter Estimation, Elsevier, Amsterdam.
50. Thomsen, L., 1986. Weak elastic anisotropy, Geophysics, 51, 1954-1966.
51. Tsvankin, I. & Grechka, V., 2006. Development in seismic anisotropy: treating realistic subsurface models in imaging and fracture detection, CSEG RECORDER, 43-46.
52. Vavryčuk, V., 2001. Ray tracing in anisotropic media with singularities, Geophys. J. Int., 145, 265-276.
53. Vidale, J.E., 1990. Finite-difference calculation of travel time in three dimensions, Geophysics, 55, 521-526.
54. Watanabe, T., Hirai, T. & Sassa, K., 1996. Seismic traveltime tomography in anisotropic heterogeneous media, J. Appl. Geophys., 35, 133-143.
55. Wu, H. & Lees, J.M., 1999. Cartesian parameterization of anisotropic traveltime tomography, Geophys. J. Int., 137, 64-80.
56. Xu, K., Greenhalgh, S.A. & Wang, M., 2006. Comparison of source-independent methods of elastic waveform inversion, Geophysics, 71, R91-R100.
57. Zelt, B.C., Ellis, R.M., Zelt, C.A., Hyndman, R.D., Lowe, C., Spence, G.D. & Fisher, M.A., 2001. Three-dimensional crustal velocity structure beneath the Strait of Georgia, British Columbia, Geophys. J. Int., 144, 695-712.
58. Zheng, X., 2004. Inversion for elastic parameters in a weakly anisotropic medium, Geophys. J. Int., 159, 1077-1089.
59. Zhou, B. & Greenhalgh, S.A., 2004. On the computation of elastic wave group velocity for a general anisotropic medium, J. geophys. Eng., 1, 205-215.
60. Zhou, B. & Greenhalgh, S.A., 2005a. Analytic expressions for the velocity sensitity to the elastic moduli for the most general anisotropic media, Geophys. Prospect., 53, 619-641.
61. Zhou, B. & Greenhalgh, S.A., 2005b. 'Shortest path'ray tracing for the most general anisotropic 2D/3D anisotropic media, J. geophys. Eng., 2, 54-63.
62. Zhou, B., Greenhalgh, S.A. & Sinadinoviski, C., 1992. Iterative algorithm for the damped minimum norm, least-squares and constrained problem in seismic tomography, Explor. Geophys., 23, 497-505.