Analysis of Thomsen parameters for finely layered VTI media

Geophysical Prospecting

Volumn 47, Issue 6, 1999, Pages 959-978

  Berryman, James G ^a   Grechka, Vladimir Y ^b   Berge, Patricia A ^a  

^a LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

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

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; COMPUTER SIMULATION; MINERALOGY; MONTE CARLO METHODS; POROSITY; POROUS MATERIALS; STIFFNESS;

BACKUS AVERAGING; THOMSEN PARAMETERS; VERTICAL TRANSVERSELY ISOTROPIC MEDIA;

SEISMIC PROSPECTING;

ELASTIC PROPERTY; LAYERED MEDIUM; SEISMIC REFLECTION;

EID: 0033227442     PISSN: 00168025     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-2478.1999.00163.x     Document Type: Article

References (41)

1. Aleksandrov K.S. and Ryzhova T.V. 1961. The elastic properties of crystals. Soviet Physics -Crystallography 6, 228-252.
2. Alkhalifah T. and Tsvankin I. 1995. Velocity analysis for transversely isotropic media. Geophysics 60, 1550-1566.
3. Anno P. 1997. Equivalent anisotropy for finely-layered media. Colorado School of Mines, Center for Wave Phenomena, Project Review, pp. 307-312.
4. Auld B.A. 1973. Acoustic Fields and Waves in Solids, Vols 1 and 2. John Wiley & Sons, Inc.
5. Bachman R.T. 1983. Elastic anisotropy in marine sedimentary rocks. Journal of Geophysical Research 88, 539-545.
6. Backus G.E. 1962. Long-wave elastic anisotropy produced by horizontal layering. Journal of Geophysical Research 67, 4427-4440.
7. Berryman J.G. 1979. Long-wave elastic anisotropy in transversely isotropic media. Geophysics 44, 896-917.
8. Berryman J.G. 1998. Transversely isotropic poroelasticity arising from thin isotropic layers. In: Mathematics of Multiscale Materials (eds K.M. Golden, G.R. Grimmett, R.D. James, G.W. Milton and P.N. Sen) pp. 37-50. Springer-Verlag, Inc..
9. Biot M.A. and Willis D.G. 1957. The elastic coefficients of the theory of consolidation. Journal of Applied Mechanics 24, 594-601.
10. Bruggeman D.A.G. 1937, Berechnung verschiedener physikalischer Konstanten von heterogenen Substanzen III. Die elastischen Konstanten quasiisotropen Mischkörper aus isotropen Substanzen. Annalen der Physik 29, 160-178.
11. Caruso L., Simmons G. and Wilkens R. 1985. The physical properties of a set of sandstones -Part I. The samples. International Journal of Rock Mechanics, Mining Science and Geomechanics Abstracts 22, 381-392.
12. Castagna J.P., Batzle M.L. and Eastwood R.L. 1985. Relationships between compressional-wave and shear-wave velocities in dastic silicate rocks. Geophysics 50, 571-581.
13. Dvorkin J. and Nur A. 1998. Acoustic signatures of patchy saturation. International Journal of Solid Structures 35, 4803-4810.
14. Endres A.L. and Knight R. 1989. The effect of microscopic fluid distribution on elastic wave velocities. Log Analyst 30, 437-444.
15. Gassmann F. 1951. Über die Elastizität poröser Medien. Vierteljahrsschrift der Naturforschenden Gesellschaft in Zürich 96, 1-23.
16. 2-curves of P- and S-waves over layered transversely isotropic ground. Geophysical Prospecting 32, 828-850.
17. Han D.-H., Nur A. and Morgan D. 1986. Effects of porosity and clay content on wave velocities in sandstones. Geophysics 51, 2093-2107.
18. 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.
19. Helbig K. 1981. Systematic classification of layer-induced transverse isotropy. Geophysical Prospecting 29, 550-577.
20. Helbig K. 1983. Elliptical anisotropy - its significance and meaning. Geophysics 48, 825-832.
21. Helbig K. and Schoenberg M. 1987. Anomalous polarization of elastic waves in transversely isotropic media. Journal of the Acoustical Society of America 81, 1235-1245.
22. Jones L.E.A. and Wang H.F. 1981. Ultrasonic velocities in Cretaceous shales from the Williston basin. Geophysics 46, 288-297.
23. Katahara K.W. 1996. Clay mineral elastic properties. 66th SEG meeting, Denver, USA, Expanded Abstracts, Vol. II, pp. 1691-1694.
24. Knight R. and Nolen-Hoeksema R. 1990. A laboratory study of the dependence of elastic wave velocities on pore scale fluid distribution. Geophysical Research Letters 17, 1529-1532.
25. Krey Th. and Helbig K. 1956. A theorem concerning anisotropy of stratified media and its significance for reflection seismics. Geophysical Prospecting 4, 294-302.
26. Levin EK. 1988. Discussion on "Weak elastic anisotropy" by L. Thomsen. Geophysics 53, 558-559.
27. Mavko G. and Mukerji T. 1998. Bounds on low-frequency seismic velocities in partially saturated rocks. Geophysics 63, 918-924.
28. Mavko G. and Nolen-Hoeksema R. 1994. Estimating seismic velocities at ultrasonic frequencies in partially saturated rocks. Geophysics 59, 252-258.
29. Musgrave M.J.P. 1970. Crystal Acoustics: Introduction to the Study of Elastic Waves and Vibrations in Crystals. Holden-Day Inc.
30. Postma G.W. 1955. Wave propagation in a stratified medium. Geophysics 20, 780-806.
31. Schoenberg M. 1983. Reflection of elastic waves from periodically stratified media with interfacial slip. Geophysical Prospecting 31, 265-292.
32. Schoenberg M. 1994. Transversely Isotropic media equivalent to thin isotropic layers. Geophysical Prospecting 42, 885-915.
33. Simmons G. and Brace W.F. 1965. Comparison of static and dynamic measurements of compressibility of rocks. Journal of Geophysical Research 70, 5649-5656.
34. Skempton A.W. 1954. The pore-pressure coefficients A and B. Geotechnique 4, 143-147.
35. Thomsen L. 1986. Weak elastic anisotropy. Geophysics 51, 1954-1966.
36. Thomsen L. 1988. Reply to discussion on "Weak elastic anisotropy", Geophysics 53, 559-560.
37. Tosaya C. and Nur A. 1982. Effects of diagenesis and clays on compressional velocities in rocks. Geophysical Research Letters 9, 5-8.
38. Wilkens R., Simmons G. and Caruso L. 1984. The ratio Vp/Vs as a discriminant of composition for siliceous limestones. Geophysics 49, 1850-1860.
39. Wilkens R., Simmons G., Wissler TM. and Caruso L. 1986. The physical properties of a set of sandstones - Part III. The effects of fine-grained pore-filling material on compressional wave velocity. International Journal of Rock Mechanics, Mining Sciences and Geomechanics Abstracts 23, 313-326.
40. Winterstein D.F. 1986. Anisotropy effects in P-wave and SH-wave stacking velocities contain information on lithology. Geophysics 51, 661-672.
41. Yeganeh-Haeri A., Weidner D.J. and Parise J.B. 1992. Elasticity of α-cristobalite: a silicon dioxide with a negative Poisson's ratio. Science 257, 650-652.