Nonlinear traveltime inversion scheme for crosshole seismic tomography in tilted transversely isotropic media

Geophysics

Volumn 73, Issue 4, 2008, Pages

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

^a UNIVERSITY OF ADELAIDE   (Australia)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPIC MEDIA; ANISOTROPY; ITERATIVE METHODS; JACOBIAN MATRICES; KINEMATICS; SEISMOGRAPHS; SHEAR FLOW; SHEAR WAVES;

NON LINEAR INVERSION; NONLINEAR KINEMATICS; SINGULARITY PROBLEMS; SYNTHETIC EXPERIMENTS; TILTED TRANSVERSELY ISOTROPIC; TOMOGRAPHIC TECHNIQUES; TRANSVERSELY ISOTROPIC MEDIAS; TRAVELTIME PERTURBATIONS;

SEISMOLOGY;

ANISOTROPY; BODY WAVE; EIGENVALUE; ELASTIC MODULUS; IMAGING METHOD; INVERSE PROBLEM; RAY TRACING; S-WAVE; SEISMIC TOMOGRAPHY; SEISMIC WAVE; TRAVEL TIME; VELOCITY STRUCTURE;

EID: 48449099559     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.2910827     Document Type: Article

References (52)

1. Andreas, B., B. Claudius, K. Boris, A. Erwin, and D. Peter, 2007, High-resolution aquifer characterization using seismic cross-hole tomography, An evaluation experiment in a gravel delta: Journal of Hydrology, 336, 171-185. 9rl JHYDA7 0022-1694
2. Aster, R. C., B. Borches, and C. H. Thurber, 2005, Parameter estimation and inverse problems: Elsevier Science Publishing Co., Inc.
3. Bregman, N. D., R. C. Bailey, and C. H. Chapman, 1989, Crosshole seismic tomography: Geophysics, 54, 200-215. gpy GPYSA7 0016-8033 10.1190/ 1.1442644
4. Cao, S., and S. A. Greenhalgh, 1994, Finite-difference solution of the eikonal equation using an efficient, first-arrival, wavefront tracking scheme: Geophysics, 59, 632-643. gpy GPYSA7 0016-8033 10.1190/1.1443623
5. 1997, Crosshole seismic tomographic delineation of mineralization in a hard-rock environment: Geophysical Prospecting, 45, 449-460. 8uc GPPRAR 0016-8025 10.1046/j.1365-2478.1997.370280.x
6. Carrion, P. M., 1989, Generalized non-linear elastic inversion with constraints in model and data spaces: Geophysical Journal, 96, 151-162. gpj GJOUDQ 0275-9128
7. 1991, Dual tomography for imaging complex structures: Geophysics, 56, 1395-1404. gpy GPYSA7 0016-8033 10.1190/1.1443159
8. Červený, V., 1972, Seismic rays and ray intensities in inhomogeneous anisotropic media: Geophysical Journal of the Royal Astronomical Society, 29, 1-13. gjr GEOJAN 0016-8009
9. 2001, Seismic ray theory: Cambridge University Press.
10. Červený, V., and P. Firbas, 1984, Numerical modelling and inversion of traveltimes of seismic body waves in inhomogeneous anisotropic media: Geophysical Journal of the Royal Astronomical Society, 76, 41-51. gjr GEOJAN 0016-8009
11. Chapman, C. H., and R. G. Pratt, 1992, Traveltime tomography in anisotropic media - I. Theory: Geophysical Journal International, 109, 1-19. gji GJINEA 0956-540X 10.1111/j.1365-246X.1992.tb00075.x
12. Crampin, S., 1981, A review of wave motion in anisotropic and cracked elastic media: Wave Motion, 3, 343-391. wvm WAMOD9 0165-2125 10.1016/ 0165-2125(81)90026-3
13. 1984, Effective anisotropic elastic constants for wave-propagation through cracked solids: Geophysical Journal of the Royal Astronomical Society, 76, 135-145. gjr GEOJAN 0016-8009
14. Crampin, S., and M. Yedlin, 1981, Shear-wave singularities of wave propagation in anisotropic media: Journal of Geophysics, 49, 43-46. 8pk JGEOD4 0340-062X
15. Daley, P. F., and F. Hron, 1977, Reflection and transmission coefficients for transversely isotropic media: Bulletin of the Seismological Society of America, 67, 661-675. bss BSSAAP 0037-1106
16. Gajewski, D., and I. Pšenčik, 1987, Computation of high-frequency seismic wavefields in 3-D laterally inhomogeneous anisotropic media: Geophysical Journal of the Royal Astronomical Society, 91, 383-411. gjr GEOJAN 0016-8009
17. Gersztenkorn, A., and J. A. Scales, 1988, Smoothing seismic tomograms with alpha-trimmed means: Geophysical Journal, 92, 67-72. gpj GJOUDQ 0275-9128
18. Grechka, V., A. Pech, and I. Tsvankin, 2002a, P-wave stacking-velocity tomography for VTI media: Geophysical Prospecting, 50, 151-168. 8uc GPPRAR 0016-8025 10.1046/j.1365-2478.2002.00307.x
19. 2002b, Multicomponent stacking-velocity tomography for transversely isotropic media: Geophysics, 67, 1564-1574. gpy GPYSA7 0016-8033 10.1190/ 1.1512802
20. 2006, Quartic reflection moveout in a weakly anisotropic dipping layer: Geophysics, 71, no. 1, D1-D13. gpy GPYSA7 0016-8033 10.1190/1.2159047
21. Greenhalgh, S. A., B. Zhou, and S. Cao, 2003, A crosshole seismic experiment for nickel sulphide exploration: Journal of Applied Geophysics, 53, 77-89. c4u JAGPEA 0926-9851
22. Greenhalgh, S. A., B. Zhou, and A. Green, 2006, Solutions, algorithms and inter-relations for local minimization search geophysical inversion: Journal of Geophysics and Engineering, 3, 101-113. bo3 ZZZZZZ 1742-2132
23. Helbig, K., 1981, Systematic classification of layered-induced transverse isotropy: Geophysical Prospecting, 29, 550-577. 8uc GPPRAR 0016-8025 10.1111/j.1365-2478.1981.tb00695.x
24. 1994, Foundations of anisotropy for exploration seismics: Pergamon Press.
25. Hirahara, K., and I. Yuzo, 1984, Traveltime inversion for three-dimensional P-wave velocity anisotropy: Journal of Physics of the Earth, 32, 197-218. 8mj JPHEAF 0022-3743
26. Jackson, P. D., and D. M. McCann, 1997, Cross-hole seismic tomography for engineering site investigation: British Geological Survey, Engineering Geology Special Publications 12, 247-264.
27. Jech, J., 1988, Three-dimensional inversion problem for inhomogeneous transversely isotropic media: Studia geophysica et geodetica, 32, 136-143. 9dd SGEGA8 0039-3169 10.1007/BF01637576
28. Jech, J., and I. Pšenčik, 1989, First-order perturbation method for anisotropic media: Geophysical Journal International, 99, 369-376. gji GJINEA 0956-540X 10.1111/j.1365-246X.1989.tb01694.x
29. Kreyszig, E., 1993, Advanced engineering mathematics: John Wiley & Sons, Inc.
30. Laxmidhar, B., and I. Tsvankin, 2007, Migration velocity analysis and imaging for tilted TI medium: 77th Annual International Meeting, SEG, Expanded Abstracts, 129-133.
31. Menke, W., 1984, Geophysical data analysis: Discrete inverse theory: Academic Press Inc.
32. Moser, T. J., 1991, Shortest path calculation of seismic rays: Geophysics, 56, 59-67. gpy GPYSA7 0016-8033 10.1190/1.1442958
33. Musgrave, M. J. P., 1970, Crystal acoustics: Introduction to the study of elastic waves and vibrations in crystals: Holden-Day.
34. G. Nolet, ed., 1987, Seismic tomography with applications in global seismology and exploration geophysics: D. Reidel Publishing Co.
35. Pech, A., I. Tsvankin, and V. Grechka, 2003, Quartic moveout coefficient, 3D description and application to tilted TI media: Geophysics, 68, 1600-1610. gpy GPYSA7 0016-8033
36. Popovici, A. M., and J. A. Sethian, 2002, 3D imaging using higher order fast marching traveltimes: Geophysics, 67, 604-609. gpy GPYSA7 0016-8033 10.1190/1.1468621
37. Pratt, R. G., and C. H. Chapman, 1992, Traveltime tomography in anisotropic media (II.) Applications: Geophysical Journal International, 109, 20-37. gji GJINEA 0956-540X 10.1111/j.1365-246X.1992.tb00076.x
38. Rüger, A., and T. Alkhalifah, 1996, Effective two-dimensional anisotropic ray tracing, in E. Fjaer, R. M. Holt, and J. S. Rathore, eds., Seismic anisotropy: SEG, 556-600.
39. 2 in an onshore aquifer, Nagaoka, Japan: Geophysical Exploration, 59, 30-36. 9kp ZZZZZZ 0912-7984
40. Shearer, P. M., and C. H. Chapman, 1988, Ray tracing in anisotropic media with a linear gradient: Geophysical Journal International, 94, 575-580. gji GJINEA 0956-540X
41. Tarantola, A., 1987, Inverse problem theory, methods for data fitting and model parameter estimation: Elsevier Science Publishing Co., Inc.
42. Tsuneyama, F., S. Mizohata, K. Osatao, H. Watanabe, A. Saito, Y. Shoji, and M. Wilt, 2003, Reservoir monitoring by cross-hole electromagnetic and seismic tomography - Field experiments in the Lost Hills oil field, California: Journal of the Japanese Association for Petroleum Technology, 68, 83-90.
43. Thomsen, L., 1986, Weak elastic anisotropy: Geophysics, 51, 1954-1966. gpy GPYSA7 0016-8033 10.1190/1.1442051
44. Vavryčuk, V., 2001, Ray tracing in anisotropic media with singularities: Geophysical Journal International, 145, 265-276. gji GJINEA 0956-540X 10.1046/j.0956-540x.2001.01387.x
45. Vidale, J., 1988, Finite-difference calculation of traveltimes: Bulletin of the Seismological Society of America, 78, 2062-2076. bss BSSAAP 0037-1106
46. Wong, J., 2000, Crosshole seismic imaging of sulfide orebody delineation near Sudbury, Ontario, Canada: Geophysics, 65, 1900-1907. gpy GPYSA7 0016-8033 10.1190/1.1444874
47. Zhou, B., and S. A. Greenhalgh, 2004, On the computation of elastic wave group velocity for a general anisotropic medium: Journal of Geophysics and Engineering, 1, 205-215. bo3 ZZZZZZ 1742-2132
48. 2005a, Analytic expressions for the velocity sensitivity to the elastic moduli for the most general anisotropic media: Geophysical Prospecting, 53, 619-641. 8uc GPPRAR 0016-8025 10.1111/j.1365-2478.2005.00490.x
49. 2005b, "Shortest path" ray tracing for most general 2D/3D anisotropic media: Journal of Geophysics and Engineering, 2, 54-63. bo3 ZZZZZZ 1742-2132
50. 2006, Raypath and traveltime computations for 2D transversely isotropic media with dipping symmetry axes: Exploration Geophysics, 37, 150-159. 5ht EXGEEF 0812-3985
51. Zhou, B., S. A. Greenhalgh, and C. Sinadinovski, 1992a, Iterative algorithms for the damped minimum norm, least squares and constraining problem in seismic tomography: Exploration Geophysics, 23, 497-505. 5ht EXGEEF 0812-3985
52. Zhou, B., C. Sinadinovski, and S. A. Greenhalgh, 1992b, Non-linear traveltime tomography, Imaging high-contrast inhomogeneities: Exploration Geophysics, 23, 459-464. 5ht EXGEEF 0812-3985