Anisotropic inversion of seismic data for stressed media: Theory and a physical modeling study on Berea Sandstone

Geophysics

Volumn 68, Issue 2, 2003, Pages 690-704

  Sarkar, Debashish ^a   Bakulin, Andrey ^b,c   Kranz, Robert L ^a  

^a Department of Geology and Geological Engineering   (United States)

^b SCHLUMBERGER CAMBRIDGE RESEARCH   (United Kingdom)

^c SHELL GLOBAL SOLUTIONS INTERNATIONAL B V   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; ELASTICITY; SANDSTONE; STRESSES; ANISOTROPIC MEDIA; FORECASTING; GEOPHYSICAL PROSPECTING; INVERSE PROBLEMS; PARAMETER ESTIMATION; ROCKS; SEISMIC RESPONSE; SEISMIC WAVES; SEISMOLOGY; STATISTICAL TESTS;

NONHYDROSTATIC STRESS; THOMSEN PARAMETER; CONVENTIONAL MEASUREMENTS; FRACTURE-INDUCED ANISOTROPIES; NON-LINEAR ACOUSTICS; NONLINEAR ELASTICITY THEORY; STRESS EFFECTS; STRESS-INDUCED ANISOTROPY; TRANSMISSION VELOCITIES; VERTICAL SYMMETRY AXIS;

SEISMOLOGY; ANISOTROPY;

DATA INVERSION; PORE PRESSURE; SANDSTONE; SEISMIC ANISOTROPY; SEISMIC DATA; STRESS ANALYSIS;

EID: 2342663363     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.1567240     Document Type: Article

References (34)

1. Bakulin, A. V., Grechka, V., and Tsvankin, I., 2000a, Estimation of fracture parameters from reflection seismic data, part I: HT1 model due to a single fracture set: Geophysics, 65, 1788-1802.
2. -2000b, Estimation of fracture parameters from reflection seismic data, part II: Fractured models with orthorhombic symmetry: Geophysics, 65, 1803-1817.
3. Bakulin, A., Slater, C., Bunain, H., and Grechka, V., 2000c, Estimation of azimuthal anbotropy and fracture parameters from mulliazimuthal walkaway VSP in the presence of lateral heterogeneity: 70th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1405-1408.
4. Bakulin, A. V., Troyan, V. N., and Bakulin, V. N., 2000d, Acoustoelasticity of rocks: St. Petersburg Univ. Press (in Russian).
5. Bourgovne, Jr., A. T., Milheim, K. K., Chenevert, M. E., and Young, F. S. 1991, Applied drilling engineering: Soc. Petr. Eng., 286-287.
6. Bowers, G. L., 1995, Pore pressure estimation from velocity data: Accounting for overpressure mechanisms besides undcrcompaction: SPE Drill, and Compl., 10, 89-95.
7. Dillen, M. W. P., Cruts, H. M. A. Groenenboom, J., Fokkema, J. T., and Duijndam, A. J. W., 1999, Ultrasonic velocity and shear-wave splitting behavior of a Culton sandstone under a changing triaxial stress: Geophysics, 64, 1603-1607.
8. Eaton, B. A., 1975, The equation for geopressurc prediction from well logs: Soc. Petr. Eng. Publ- 5544, 1-11.
9. Fjær, E., Holt, R., Horsrud, P., and Raaen, I., 1992, Petroleum related rock mechanics: Elsevier Science Publ. Co., Inc.
10. Grechka, V., Theophanis, S., and Tsvankin, I., 1999, Joint inversion of P- and PS-waves in orthorhombic media: Theory and a physical modeling study: Geophysics. 64, 146-161.
11. Grechka, V., Tsvankin, I., Bakulin, A., Hansen, J. O., and Signer, C., 2002. Joint inversion of PP and PS reflection data for VTI media: A North Sea case study: Geophysics. 67, 1382-1395.
12. Hearmon, R. F. S., 1953, 'Third-order' elastic coefficients: Acta Cryst., 6, 331-340.
13. Hornby, B. E., 1998, Experimental laboratory determination of the dynamic elastic properties of wet, drained shales: J. Geophys. Res., 103, 945-964.
14. Johnson, P. A., and Rasplofosaon, P. N. J., 19%, Nonlinear elasticity and stress-induced anisotropy in rock: J. Geophys. Res., 101, 3113-3124.
15. Lo, T. W., Coyner, K. B., and Toksoz, M. N., 1986. Experimental determination of elastic anisotropy of Berea Sandstone, Chicopec Shale, and Chelmsford Granite: Geophysics. 51, 164-171.
16. Mavko, G., Mukerji, T., and Godfrey, N., 1995, Predicting stress-induced velocity anisotropy in rocks: Geophysics. 60, 1222-1233.
17. Nur, A., 1971, Effects of stress on velocity anisotropy in rocks with cracks: J. Geophys. Res. 76, 2022-2034
18. Prasad, M., and Manghnani, M. H., 1997, Effects of pore and differential pressure on compressional wave velocity and quality factor in Berea and Michigan sand-stones: Geophysics, 62, 1163-1176.
19. Prioul, R., Bakulin, A., and Bakuhn, V., 2001, Three-parameter model for predicting acoustic velocities in transversely isotropic rocks under arbitrary stress: 71st Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1732-1735.
20. Rasolofosaon, P., 1998, Stress-induced seismic anisotropy revisited: Revue de l'Institut Français du Petrole, 53, 679-693.
21. Rüger, A., 1998, Variation of P-wave reflectivity with offset and azimuth in anisotropic media: Geophysics, 63, 935-947.
22. Schwartz, L. M., Murphy, III, W. F., and Berryman, J. G., 1994, Stress-induced transverse isotropy in rocks: 64th Ann. Internat. Mtg., Soc. Expl. Geophys., Expanded Abstracts, 1081-1085.
23. Sinha, B. K., 2001, Stress-induced changes in the borehole Stoneley and flexural dispersions: 71st Ann. Internal. Mtg., Soc. Expl. Geophys., Expanded Abstracts. 337-340.
24. Sinha, B. K., and Kostek, S., 1996, Stress-induced azimuthal anisotropy in borehole flexural waves: Geophysics. 61, 1899-1907.
25. Sinha, B. K., and Winkler, K. W., 1999. Formation nonlinear constants from sonic measurements at two borehole pressures: Geophysics. 64, 1890-1900.
26. Sinha, B. K., Kane, M. R., and Frignet, B., 2000, Dipole dispersion crossover and sonic logs in a limestone reservoir: Geophysics, 65, 390-407.
27. Taner, M. T., and Koehler, T., 1969, Velocity spectra: Digital computer derivation and applications of velocity functions: Geophysics. 34, 859-881.
28. Thomsen, L., 1986, Weak elastic anisotropy Geophysics. 51, 1954-1966.
29. Thurston, R. N., 1974, Waves in solids, in Flügge, S., Ed., Mechanics of solids, in Truesdell, C. Ed., Encyclopedia of physics VIa/4, Springer-Verlag Berlin, 109-308.
30. Thurston, R. N., and Brugger, K., 1964, Third-order elastic constants and the velocity of small amplitude elastic waves in homogeneously stressed media: Phys. Rev. A, 133, 1604-1610.
31. Tsvankin, I., 1997, Anisotropic parameters and P-wave velocity for orthorhombic media: Geophysics, 62, 1292-1309.
32. -2001, Seismic signatures and analysis of reflection data in anisotropic media: Elsevier Science Publ. Co., Inc.
33. Winkler, K. W., and Liu, X., 1996. Measurements of third-order clastic constants in rocks: J. Acoust. Soc. Am., 100, 1392-1398.
34. Wmkler, K. W., Sinha, B. K., and Plona, T. J., 1998, Effects of borehole stress concentrations of dipole anisotropy measurements: Geophysics, 63, 11-17.