P-wave traveltime and polarization tomography of VSP data

Geophysical Journal International

Volumn 131, Issue 1, 1997, Pages 100-114

  Le Bégat, Soazig ^a   Farra, Véronique ^a  

^a INSTITUT DE PHYSIQUE DU GLOBE DE PARIS   (France)

Author keywords

Polarization; Tomography; Transverse isotropy; Traveltime

Indexed keywords

POLARIZATION; SEISMIC TOMOGRAPHY; TRANSVERSE ISOTROPY; TRAVELTIME; VERTICAL SEISMIC PROFILING;

EID: 0031432069     PISSN: 0956540X     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-246x.1997.tb00597.x     Document Type: Article

References (32)

1. Banik, N.C., 1984. Velocity anisotropy of shales and depth estimation in the North Sea basin, Geophysics, 49, 1411-1419.
2. Berryman, J.G., 1979. Long-wave elastic anisotropy in transversely isotropic media, Geophysics, 44, 896-917.
3. Bush, I. & Crampin, S., 1991. Paris Basin VSPs: case history establishing combinations of matrix fine layer (or lithologic) and crack anisotropy from modelling shear wavefields near point singularities, Geophys. J. Int., 107, 433-447.
4. Cerveny, V., 1982. Direct and inverse kinematic problems for inhomogeneous anisotropic media, Contr. Geophys. Inst. Slov. Acad. Sci., 13, 127-133.
5. Cerveny, V., 1989. Ray tracing in factorized anisotropic inhomogeneous media, Geophys. J. Int., 99, 91-100.
6. Cerveny, V. & Jech, J., 1982. Linearized solutions of kinematic problems of seismic body waves in inhomogeneous sligtly anisotropic media, J. Geophys., 51, 96-104.
7. Chapman, C.H., & Pratt, R.G., 1992. Travel time tomography in anisotropic media - I. Theory, Geophys. J. Int., 109, 1-19.
8. de Boor, K., 1978. A Practical Guide to Splines, Springer, New York, NY.
9. Delprat-Jannaud, F. & Lailly, P., 1993. Ill-posed and well-posed formulations of the reflection traveltime tomography problem, J. geophys. Res., 98, 6589-6605.
10. de Parscau, J., 1991. P- and SV-wave transversely isotropic phase velocities analysis from VSP data, Geophys. J. Int., 107, 629-638.
11. Douma, J., 1988. The effect of the aspect ratio on crack-induced anisotropy, Geophys. Prospect., 36, 614-632.
12. Farra, V., 1989. Ray perturbation theory for heterogeneous hexagonal anisotropic medium, Geophys. J. Int., 99, 723-738.
13. Farra, V., 1990. Amplitude computation in heterogeneous media by ray perturbation theory: a finite element method approach, Geophys. J. Int., 103, 341-354.
14. Farra, V. & Le Bégat, S., 1995. Sensitivity of qP-wave traveltimes and polarization vectors to heterogeneity, anisotropy and interfaces, Geophys. J. Int., 121, 371-384.
15. Farra, V. & Madariaga, R., 1988. Non-linear reflection tomography, Geophys. J., 95, 135-147.
16. Helbig, K., 1979. Discussion on 'The reflection, refraction and diffraction of waves in media with elliptical velocity dependence' by F.K. Levin, Geophysics, 44, 987-990.
17. Hu, G. & Menke, W., 1992. Formal inversion of laterally heterogeneous velocity structure from P-wave polarization data, Geophys. J. Int., 110, 63-69.
18. Hu, G., Menke, W. & Powell, C., 1994. Polarization tomography for P wave velocity structure in southern California, J. geophys. Res., 99, 15 245-15 256.
19. Hudson, J.A., 1980. Overall properties of a cracked solid, Math. Proc. Camb. phil. Soc., 88, 371-384.
20. Hudson, J.A., 1981. Wave speeds and attenuation of elastic waves in material containing cracks, Geophys. J. R. astr. Soc., 64, 133-150.
21. Jech, J. & Psencik, I., 1989. First order perturbation method for anisotropic media, Geophys. J. Int., 99, 369-376.
22. Knowlton, K.B. & Spencer, T.W., 1996. Polarization measurement uncertainty in three component VSP, Geophysics, 61, 594-599.
23. Nowack, R.L. & Psencik, I., 1991. Perturbation from isotropic to anisotropic heterogeneous media in the ray approximation, Geophys. J. Int., 106, 1-10.
24. Ory, J. & Pratt, R.G., 1994. Are our parameter estimators biased? The significance of finite-difference regularization operators, Inverse Problems, 11, 397-424.
25. Perelberg, A.I. & Hornbostel, S.C., 1994. Applications of seismic polarization analysis, Geophysics, 59, 119-130.
26. Pratt, R.G. & Chapman, C.H., 1992. Travel time tomography in anisotropic media - II. Application, Geophys. J. Int., 109, 20-37.
27. Pratt, R.G., McGaughey, W.J. & Chapman, C.H., 1993. Anisotropic velocity tomography: A case study in a near-surface rock mass, Geophysics, 58, 1748-1763.
28. Sams, M.S., Worthington, M.H., King, M.S. & Shams Kanshir, M., 1993. A comparison of laboratory and field measurements of P-wave anisotropy, Geophys. Prospect, 41, 189-206.
29. Tarantola, A., 1987. Inverse Problem Theory: Methods for Data Fitting and Parameter Estimation, Elsevier, Amsterdam.
30. Tarantola, A. & Valette, B., 1982. Generalized non-linear inverse problems solved using the least squares criterion, Geophys. Space Phys., 20, 219-232.
31. Thomsen, L.A., 1986. Weak elastic anisotropy, Geophysics, 51, 1954-1966.
32. White, J.E., Martineau-Nicoletis, L. & Monash, C., 1982. Measured anisotropy in Pierre shale, Geophys. Prospect., 31, 709-725.