Comparison of seismic upscaling methods: From sonic to seismic

Geophysics

Volumn 74, Issue 2, 2009, Pages

  Tiwary, Dileep K ^a   Bayuk, Irina O ^a   Vikhorev, Alexander A ^b   Chesnokov, Evgeni M ^c  

^a UNIVERSITY OF OKLAHOMA   (United States)

^b SCHMIDT INSTITUTE OF PHYSICS OF THE EARTH   (Russian Federation)

^c UNIVERSITY OF HOUSTON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC LOGGING; SEISMIC WAVES; SEISMOLOGY; SHEAR WAVES; VELOCITY; VELOCITY DISTRIBUTION; WAVE PROPAGATION;

ELASTIC WAVE VELOCITY; FREQUENCY RANGES; HIGHER FREQUENCIES; LOWER FREQUENCIES; PAIR CORRELATION FUNCTIONS; SEISMIC FREQUENCIES; THEORETICAL METHODS; UPSCALING METHODS;

CORRELATION METHODS;

CONFERENCE PROCEEDING; ELASTIC WAVE; P-WAVE; S-WAVE; SEISMIC METHOD; SEISMIC VELOCITY; UPSCALING;

EID: 63049100129     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.3054144     Document Type: Conference Paper

References (31)

1. Backus, G., 1962, Long-wave elastic anisotropy reduced by horizontal layering: Journal of Geophysical Research, 67, 4427-4440. jgr JGREA2 0148-0227 10.1029/JZ067i011p04427
2. Bayuk, I. O., M. Ammerman, and E. M. Chesnokov, 2008, Upscaling of elastic properties of anisotropic sedimentary rocks: Geophysical Journal International, 172, 842-860. gji GJINEA 0956-540X
3. Bayuk, I. O., A. A. Vikhorev, J. M. Hooper, V. V. Tertychnyi, Y. A. Kukharenko, and E. M. Chesnokov, 2003, Frequency dependent effects in porous rocks: International Conference and Exhibition, EAEG, Extended Abstracts, PS10.
4. Berryman, J., 1979, Long-wave elastic anisotropy in transversely isotropic media: Geophysics, 44, 896-917. gpy GPYSA7 0016-8033 10.1190/ 1.1440984
5. Chapman, M., 2003, Frequency-dependent anisotropy due to meso-scale fractures in the presence of equant porosity: Geophysical Prospecting, 51, 369-379. 8uc GPPRAR 0016-8025 10.1046/j.1365-2478.2003.00384.x
6. Chesnokov, E. M., and Y. A. Kukharenko, 1996, Tensor of effective density for media with inclusions: 66th Annual International Meeting, SEG, Expanded Abstracts, 1033-1036.
7. Chesnokov, E. M., Y. A. Kukharenko, and P. A. Kukharenko, 1995, Method of diagram technique for calculation of effective physical parameters of microinhomogeneous media: SPIE - International Society of Optical Engineers, Mathematical Methods in Geophysical Imaging III, 2-12.
8. Eshelby, D., 1957, The determination of the elastic field of an ellipsoidal inclusion and related problems: Proceedings of the Royal Society of London, Series A, 241, 376-396. pxa PPSAAM 0370-1298
9. Gold, N., S. A. Shapiro, S. Bojinski, and T. M. Müller, 2000, An approach to upscaling for seismic waves in statistically isotropic heterogeneous elastic media: Geophysics, 65, 1837-1850. gpy GPYSA7 0016-8033 10.1190/1.1444867
10. Hashin, Z., and S. Shtrikman, 1962, A variational approach to the theory of the effective magnetic permeability of multiphase materials: Journal of Applied Physics, 33, 3125-3133. jap JAPIAU 0021-8979 10.1063/1.1728579
11. Helbig, K., 1984, Anisotropy and dispersion in periodically layered media: Geophysics, 49, 364-373. gpy GPYSA7 0016-8033 10.1190/1.1441672
12. Hudson, J., 1980, Overall properties of a cracked solid: Mathematical Proceedings of the Cambridge Philosophical Society, 88, 371-384. mpe
13. Hudson, J., 1981, Wave speeds and attenuation of elastic waves in material containing cracks: Geophysical Journal of the Royal Astronomical Society, 64, 133-150. gjr GEOJAN 0016-8009
14. Korn, G. A., and T. M. Korn, 1961, Mathematical handbook for scientists and engineers: McGraw-Hill Book Company.
15. Mavko, G., T. Mukerji, and J. Dvorkin, 1998, The rock physics handbook: Cambridge University Press.
16. Moulton, J. D., S. Knapek, and J. E. Dendy, 1998, Multilevel upscaling in heterogeneous porous media, http://citeseer.ist.psu.edu/212257.html.
17. Müller, T. M., and B. J. Gurevich, 2005a, A first-order smoothing approximation for the coherent wave field in random porous media: Journal of the Acoustical Society of America, 117, 1796-1805. jas JASMAN 0001-4966 10.1121/1.1871754
18. Müller, T. M., and B. J. Gurevich, 2005b, Wave-induced fluid flow in random porous media: Attenuation and dispersion: Journal of the Acoustical Society of America, 117, 2732-2741. jas JASMAN 0001-4966 10.1121/1.1894792
19. Müller, T. M., and S. A. Shapiro, 2001, Most probable seismic pulses in single realizations of two- and three-dimensional random media: Geophysical Journal International, 144, 83-95. gji GJINEA 0956-540X 10.1046/j.1365-246x.2001.00320.x
20. Nishizawa, O., 1982, Seismic velocity anisotropy in a medium containing oriented cracks - Transversely isotropic case: Journal of Physics of the Earth, 30, 331-347. 8mj JPHEAF 0022-3743
21. O'Connell, R. J., and B. Budiansky, 1974, Seismic velocities in dry and saturated cracked solids: Journal of Geophysical Research, 82, 5719-5735. jgr JGREA2 0148-0227 10.1029/JB082i036p05719
22. Ponte Castaneda, P., and J. R. Willis, 1995, The effect of spatial distribution on the effective behavior of composite materials and cracked media: Journal of Mechanics and Physics of Solids, 43, 1919-1951. jmx JMPSA8 0022-5096 10.1016/0022-5096(95)00058-Q
23. Postma, G., 1955, Wave propagation in a stratified medium: Geophysics, 20, 780-806. gpy GPYSA7 0016-8033 10.1190/1.1438187
24. Roy, B., J. Queen, I. O. Bayuk, Y. A. Kukharenko, and E. M. Chesnokov, 2001, Prediction of frequency dependent velocity in porous reservoir: 71st Annual International Meeting, SEG, Expanded Abstracts, 1933-1936.
25. Rytov, S., 1956, Acoustical properties of a thinly laminated media: Soviet Physics: Acoustics, 2, 68-80.
26. Sayers, C. M., 1998, Long-wave seismic anisotropy of heterogeneous reservoirs: Geophysical Journal International, 132, 667-673. gji GJINEA 0956-540X
27. Schoenberg, M., and F. Muir, 1981, A calculus for finely layered anisotropic media: Geophysics, 54, 581-589. gpy GPYSA7 0016-8033 10.1190/ 1.1442685
28. Shermergor, T. D., 1977, Theory of elasticity of microinhomogeneous media: Nauka (in Russian).
29. Thomsen, L., 1995, Elastic anisotropy due to aligned cracks in porous rock: Geophysical Prospecting, 43, 805-829. 8uc GPPRAR 0016-8025 10.1111/ j.1365-2478.1995.tb00282.x
30. Tiwary, D. K., I. O. Bayuk, A. A. Vikhorev, M. Ammerman, and E. M. Chesnokov, 2007, Comparison of seismic upscaling methods: 77th Annual International Meeting, SEG, Expanded Abstracts, 1933-1936.
31. Willis, J., 1977, Bounds and self-consistent estimates for the overall properties of anisotropic composites: Journal of the Mechanics and Physics of Solids, 25, 185-202. jmy JLMPAB 0022-2739