Pore structure model for elastic wave velocities in fluid-saturated sandstones

Journal of Geophysical Research: Solid Earth

Volumn 117, Issue 7, 2012, Pages

  David, E C ^a   Zimmerman, R W ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DATA SET; ELASTIC WAVE; HYDROSTATIC PRESSURE; PORE PRESSURE; S-WAVE; SANDSTONE; WAVE VELOCITY;

EID: 84864619358     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2012JB009195     Document Type: Article

References (47)

1. Adelinet, M., J. Fortin, Y. Guéguen, A. Schubnel, and L. Geoffroy (2010), Frequency and fluid effects on elastic properties of basalt: Experimental investigations, Geophys. Res. Lett., 37, L02303, doi:10.1029/2009GL041660.
2. Adelinet, M., C. Dorbath, M. Le Ravalec, J. Fortin, and Y. Guéguen (2011), Deriving microstructure and fluid state within the Icelandic crust from the inversion of tomography data, Geophys. Res. Lett., 38, L03305, doi:10.1029/2010GL046304.
3. Agersborg, R., T. A. Johansen, M. Jakobsen, J. Sothcott, and A. Best (2008), Effects of fluids and dual-pore systems on pressure-dependent velocities and attenuations in carbonates, Geophysics, 73, N35-N47.
4. Benveniste, Y. (1987), A new approach to the application of Mori-Tanaka's theory in composite materials, Mech. Mater., 6, 147-157. (Pubitemid 18530321)
5. Berryman, J. G. (1980), Long-wavelength propagation in composite elastic media II. Ellipsoidal inclusions, J. Acoust. Soc. Am., 68, 1820-1831.
6. Berryman, J. G., S. R. Pride, and H. F. Wang. (2002), A differential scheme for elastic properties of rocks with dry or saturated cracks, Geophys. J. Int., 151, 597-611. (Pubitemid 35219071)
7. Bourbié, T., O. Coussy, and B. Zinszner (1986), Acoustics of Porous Media, Ed. Technip, Paris.
8. Brown, R. J. S., and J. Korringa (1975), On the dependence of elastic properties of a porous rock on the compressibility of the pore fluid, Geophysics, 40, 608-616.
9. Budiansky, B., and R. J. O'Connell (1976), Elastic moduli of a cracked solid, Int. J. Solids Struct., 12, 81-97.
10. Cheng, C. H., and M. N. Toksöz (1979), Inversion of seismic velocities for the pore aspect ratio spectrum of a rock, J. Geophys. Res., 84, 7533-7543. (Pubitemid 10445365)
11. Coyner, K. B. (1984), Effect of stress, pore pressure, and pore fluids on bulk strain, velocity, and permeability of rocks, PhD thesis, Mass. Inst. of Technol., Cambridge.
12. David, E. C. (2012), The effect of stress, pore fluid and pore structure on elastic wave velocities in sandstones, PhD thesis, Imperial College London, London.
13. David, E. C., and R. W. Zimmerman (2011a), Compressibility and shear compliance of spheroidal pores: exact derivation via the Eshelby tensor, and asymptotic expressions in limiting cases, Int. J. Solids Struct., 48, 680-688.
14. David, E. C., and R. W. Zimmerman (2011b), Elastic moduli of solids containing spheroidal pores, Int. J. Eng. Sci. 49, 544-560.
15. Ekneligoda, T. C., and R. W. Zimmerman (2006), Compressibility of two-dimensional pores having n-fold axes of symmetry, Proc. R. Soc. London A, 462, 1933-1947. (Pubitemid 44922063)
16. Ekneligoda, T. C., and R. W. Zimmerman (2008), Shear compliance of two-dimensional pores possessing N-fold axis of rotational symmetry, Proc. R. Soc. London A, 464, 759-775. (Pubitemid 351614516)
17. Eshelby, J. D. (1957), The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc. R. Soc. London A, 241, 376-396.
18. Ferrari, M. (1994), Composite homogenization via the equivalent polyinclusion approach, Composites Eng., 4, 37-45.
19. Fortin, J., Y. Guéguen, and A. Schubnel (2007), Effects of pore collapse and grain crushing on ultrasonic velocities and Vp/Vs, J. Geophys. Res., 112, B08207, doi:10.1029/2005JB004005. (Pubitemid 47591324)
20. Gassmann, F. (1951), On the elasticity of porous media, Vierteljahrsschr. Naturforsch. Ges. Zurich, 96, 1-23.
21. Henyey, F. S., and N. Pomphrey (1982), Self-consistent elastic moduli of a cracked solid, Geophys. Res. Lett., 9, 903-906.
22. Jasiuk, I., J. Chen, and M. F. Thorpe (1994), Elastic moduli of two dimensional materials with polygonal and elliptical holes, Appl. Mech. Rev., 47, 18-21.
23. Kachanov, M., I. Tsukrov, and B. Shafiro (1994), Effective moduli of solids with cavities of various shapes, Appl. Mech. Rev., 47, 152-174.
24. King, M. S. (1966), Wave velocities in rocks as a function of changes in overburden pressure and pore fluid saturants, Geophysics, 31, 50-73.
25. King, M. S. (2005), Rock-physics developments in seismic exploration: A personal 50-year perspective, Geophysics, 70, 3ND-8ND.
26. King, M. S., and J. R. Marsden (2002), Velocity dispersion between ultrasonic and seismic frequencies in brine-saturated reservoir sandstones, Geophysics, 67, 254-258. (Pubitemid 34179857)
27. Kuster, G. T., and M. N. Toksöz (1974), Velocity and attenuation of seismic waves in two-phase media: Part I. Theoretical formulations, Geophysics, 39, 587-606.
28. LeRavalec, M., and Y. Guéguen (1996), High-and low-frequency elastic moduli for a saturated porous/cracked rock-Differential self-consistent and poroelastic theories, Geophysics, 61, 1080-1094.
29. Liu, H. H., J. Rutqvist, and J. G. Berryman (2009), On the relationship between stress and elastic strain for porous and fractured rock, Int. J. Rock Mech. Min. Sci., 46, 289-296.
30. MacBeth, C. (2004), A classification for the pressure-sensitivity properties of a sandstone rock frame, Geophysics, 69, 497-510. (Pubitemid 38587279)
31. Mavko, G. (1980), Velocity and attenuation in partially molten rocks, J. Geophys. Res., 85, 5173-5189.
32. Mavko, G., and A. Nur (1978), The effect of nonelliptical cracks on the compressibility of rocks, J. Geophys. Res., 83, 4459-4468. (Pubitemid 9399339)
33. Mavko, G., T. Mukerji, and J. Dvorkin (2009), The Rock Physics Handbook, Cambridge Univ. Press, Cambridge, U. K.
34. McLaughlin, R. (1977), A study of the differential scheme for composites materials, Int. J. Eng. Sci., 15, 237-244.
35. Mori, T., and K. Tanaka (1973), Average stress in matric and average elastic energy of materials with misfitting inclusions, Acta Mater., 21, 571-574.
36. Morlier, P. (1971), Description of the state of rock fracturization through simple non-destructive tests, Rock Mech., 3, 125-138.
37. Norris, A. N. (1985), A differential scheme for the effective moduli of composites, Mech. Mater., 4, 1-16. (Pubitemid 15561666)
38. O'Connell, R. J., and B. Budiansky (1977), Viscoelastic properties of fluidsaturated cracked solids, J. Geophys. Res., 82, 5719-5735.
39. Palmer, I. D., and M. L. Traviola (1981), Attenuation by squirt flow in undersaturated gas sands, Geophysics, 45, 1780-1792. (Pubitemid 11490115)
40. Salganik, R. L. (1973), Mechanics of bodies with many cracks, Mech. Solids, 8, 135-143.
41. Shafiro, B., and M. Kachanov (1997), Materials with fluid-filled pores of various shapes: effective elastic properties and fluid pressure polarization, Int. J. Solids Struct., 34, 3517-3540.
42. Shapiro, S. A. (2003), Elastic piezosensitivity of porous and fractured rocks, Geophysics, 68, 482-486. (Pubitemid 40005389)
43. Suvorov, A. P., and A. P. S. Selvadurai (2011), Effective medium methods and a computational approach for estimating geomaterial properties of porous materials with randomly oriented ellipsoidal pores, Comput. Geotech., 38, 721-730.
44. Tsukrov, I., and J. Novak (2004), Effective elastic properties of solids with two-dimensional inclusions of irregular shapes, Int. J. Solids Struct., 41, 6905-6924.
45. Walsh, J. B. (1965), The effect of cracks on the compressibility of rocks, J. Geophys. Res., 70, 381-389.
46. Zimmerman, R. W. (1984), Elastic moduli of a solid with spherical pores: New self-consistent method, Int. J. Rock Mech. Min. Sci., 21, 339-343. (Pubitemid 15458596)
47. Zimmerman, R. W. (1991), Compressibility of Sandstones, Elsevier, Amsterdam.