Elastic properties of hydrate-bearing sediments using effective medium theory

Journal of Geophysical Research: Solid Earth

Volumn 105, Issue B1, 2000, Pages 561-577

  Jakobsen, Morten ^a,c   Hudson, John A ^b   Minshull, Tim A ^a,d   Singh, Satish C ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^c UNIVERSITY OF BERGEN   (Norway)

^d UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC PROPERTY; GAS HYDRATE; MARINE SEDIMENT; SEISMIC WAVE;

EID: 0034627634     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/1999jb900190     Document Type: Article

References (57)

1. Barnett, D.M., The precise evaluation of derivatives of the anisotropic elastic Green's functions, Phys. Status. Solidi, B, 49, 741-748, 1972.
2. Bennett, R.H., W.R. Bryant, and M.H. Hulbert, Microstructure of Fine-Grained Sediments: From Mud to Shale, Springer-Verlag, New York, 1991.
3. Berryman, J.G., Single-scattering approximations for coefficients in Biot's equations of poroelasticity, J. Acoust. Soc. Am, 91, 551-571, 1992.
4. Berryman, J.G., and P.A. Berge, Critique of two explicit schemes for estimating elastic properties of multiphase composites, Mech. Mater., 22, 149-164, 1996.
5. Bonilla, L.L., and J.B. Keller, Acoustoelastic effect and wave propagation in heterogeneous weakly anisotropic materials, J. Mech. Phys. Solids, 33, 241-261, 1985.
6. Castagna, J.P., M.K. Batzle, and R.L. Eastwood, Relationships between compressional-wave and shear-wave velocities in clastic silicate rocks, Geophysics, 50, 571-581, 1985.
7. Clennell, M.B., M. Hovland, D. Lysne, and J.S. Booth, Role of capillary forces, coupled flows and sediment-water depletion in the habitat of gas hydrates (abstract), Eos Trans. AGU, 76(46), Fall Meet. Suppl., 164-165, 1995.
8. Dvorkin, J., and A. Nur, Rock physics for characterization of gas hydrates, in The Future of Energy Gases, edited by J.H. Howell et al., U.S. Geol. Surv. Prof. Pap., 1570, 293-298, 1993.
9. Ecker, C., J. Dvorkin, and A. Nur, Sediments with gas hydrates: Internal structure from seismic AVO, Geophysics, 63, 1659-1669, 1998.
10. Edwards, R.N., On the resource evaluation of marine gas hydrate deposits using sea-floor transient electric dipole-dipole methods, Geophysics, 62, 63-74, 1997.
11. Eshelby, J.D., The determination of the elastic field of an ellipsoidal inclusion, and related problems, Proc. R. Soc. London., A, 241, 376-396, 1957.
12. Frisch, U., Wave propagation in random media, in Probabilistic Methods in Applied Mathematics, vol. 1, edited by A.T. Bharucha-Reid, pp. 75-198, Academic, San Diego, Calif., 1968.
13. Gubernatis, J.E., and J.A. Krumhansl, Macroscopic engineering properties of polycrystalline materials: Elastic properties, J. Appl. Phys., 46, 1875-1883, 1975.
14. Helbig, K., Kelvin and the early history of seismic anisotropy, in Seismic Anisotropy, Soc. of Explor. Geophys., pp. 15-35, Tulsa, Okla., 1996a.
15. Helbig, K., Representation and approximation of elastic tensors, in Seismic Anisotropy, Soc. of Explor. Geophys., pp. 37-75, Tulsa, Okla., 1996b.
16. Hill, R., The elastic behaviour of a crystalline aggregate, Proc. Phys. Soc., A65, 349-354, 1952.
17. Holbrook, W.S., H. Hoskins, W.T. Wood, R.A. Stephen, D. Lizarralde, and Leg 164 Science Party, Methane hydrate and free gas on the Blake Ridge from vertical seismic profiling, Science, 273, 1840-1843, 1996.
18. Hornby, B.E., L.M. Schwartz, and J.A. Hudson, Anisotropic effective-medium modelling of the elastic properties of shales, Geophysics, 59, 1570-1581, 1994.
19. Hudson, J.A., Overall properties of heterogeneous material, Geophys. J. Int., 107, 505-511, 1991.
20. Jacoby, M., J. Dvorkin, and X. Liu, Elasticity of partially saturated frozen sand, Geophysics, 61, 288-293, 1996.
21. Kelvin, Lord (W. Thomson), Elements of a mathematical theory of elasticity, 1, On stresses and strains, Philos. Trans., R. Soc. London, 166, 481-498, 1856.
22. Kiefte, H., M.J. Clouter, and R.E. Gagnon, Determination of acoustic velocities of clathrate hydrates by Brillouin spectroscopy, J. Phys. Chem., 89, 3103-3108, 1985.
23. Korenaga, J., W.S. Holbrook, S.C. Singh, and T.A. Minshull, Natural gas hydrates on the southeast U.S. margin: Constraints from full waveform and travel time inversions of wide-angle seismic data, J. Geophys. Res., 102, 15,345-15,365, 1997.
24. Kuster, G.T., and M.N. Toksoz, Velocity and attenuation of seismic waves in two-phase media, 1, Theoretical formulation, Geophysics, 39, 587-606, 1974.
25. Kvenvolden, K.A., Methane hydrate: Major reservoir of carbon in the shallow geosphere, Chem. Geol., 71, 41-71, 1988a.
26. Kvenvolden, K.A., Methane hydrates and global climate, Global Biogeochem. Cycles, 2, 221-229, 1988b.
27. Lee, M.W., D.R. Hutchinson, T.S. Collet, and W.P. Dillon, Seismic velocities for hydrate-bearing sediments using weighted equation, J. Geophys. Res., 101, 20,347-20,359, 1996.
28. MacDonald, G.J., The future of methane as an energy resource, Annu. Rev. Energy Environ., 15, 53-83, 1990.
29. MacKay, M.E., R.D. Jarrard, G.K. Westbrook, R.D. Hyndman, and Shipboard Scientific Party of Ocean Drilling Program Leg 146, Origin of bottom-simulating reflectors: Geophysical evidence from the Cascadia accretionary prism Geology, 22, 459-462, 1994.
30. Minshull, T.A., S.C. Singh, and G.K. Westbrook, Seismic velocity structure at a gas hydrate reflector, offshore western Colombia, from full waveform inversion, J. Geophys. Res., 99, 4715-4733, 1994.
31. Morris, P.R., Averaging fourth-rank tensors with weight functions, J. Appl. Phys., 40, 447-448, 1969.
32. Mura, T., Micromechanics of Defects in Solids, Martinus Nijhoff, Zoetermeer, Netherlands, 1982.
33. Musgrave, M.J.P., Crystal Acoustics, Holden-Day, Merrifield, Va., 1970.
34. Nemat-Nasser, S., and M. Hori, Micromechanics: Overall Properties of Heterogeneous Materials, Appl. Math. Mech., vol. 37, North-Holland, New York, 1993.
35. Nishizawa, O., Seismic velocity anisotropy in a medium containing oriented cracks: Transversely isotropic case, J. Phys. Earth, 30, 331-347, 1982.
36. Nowick, S.A., Crystal Properties via Group Theory, Cambridge Univ. Press, New York, 1995.
37. Pandit, B.I., and M.S. King, Elastic wave velocities of propane gas hydrates, in Natural Gas Hydrates: Properties, Occurrence and Recovery, edited by J.L. Cox, pp. 49-61, Butterworth-Heinmann, Newton, Mass., 1983.
38. Paull, C.K., R. Matsumoto, P. Wallace and Leg 164 Scientific Party, Proceedings of the Ocean Drilling Program, Initial Reports, vol. 164, Ocean Drill. Program, College Station, Texas, 1996.
39. Sayers, C.M., The elastic anisotropy of shales, J. Geophys. Res., 99, 767-774, 1994.
40. Sheng, P., Effective-medium theory of sedimentary rocks, Phys. Rev. B, 41, 4507-4512, 1990.
41. Sheng, P., Introduction to Wave Scattering, Localization, and Mesoscopic Phenomena, Academic, San Diego, Calif., 1995.
42. Sherwood, J.D., Biot poroelasticity of a chemically active shale, Proc. R. Soc. London A, 440, 365-377, 1993.
43. Singh, S.C., T.A. Minshull, and G.D. Spence, Velocity structure of a gas hydrate reflector, Science, 260, 204-207, 1993.
44. Sloan, E.D., Clathrate Hydrates of Natural Gas, Marcel Dekker, New York, 1990.
45. Thomsen, L., Weak elastic anisotropy, Geophysics, 51, 1954-1966, 1986.
46. Tosaya, C., and A. Nur, Effects of diagnesis and clays on compressional velocities in rocks, Geophys. Res. Lett., 9, 5-8, 1982.
47. Tsvankin, I., P-wave signatures and notation for transversely isotropic media: An overview, Geophysics, 61, 467-483, 1996.
48. Watt, J.P., G.F. Davies, and R.J. O'Connell, The elastic properties of composite materials, Rev. Geophys., 14, 541-563, 1976.
49. Weyl, H., Theory of Groups and Quantum Mechanics, Dover, Mineola, N. Y., 1957.
50. Whalley, E., Speed of longitudinal sound in clathrate hydrates, J. Geophys. Res., 85, 2539-2542, 1980.
51. Willis, J.R., The elastic interaction energy of dislocation loops in anisotropic media, Q. J. Mech. Appl. Math., 18, 4-10, 1965.
52. Willis, J.R., Bounds and self-consistent estimates for the overall properties of anisotropic composites, J. Mech. Phys. Solids, 25, 185-202, 1977.
53. Willoughby, E.C., and R.N. Edwards, On the resource evaluation of marine gas-hydrate deposits using seafloor compliance methods, Geophys. J. Int., 131, 751-766, 1997.
54. Wood, A.B., Text Book of Sound, 578 pp., Macmillan, Indianapolis, Ind., 1941.
55. Wood, W.T., P.L. Stoffa, and T.H. Shipley, Quantitative detection of methane hydrate through high-resolution seismic velocity analysis, J. Geophys. Res., 99, 9681-9695, 1994.
56. Wyllie, M.R., A.R. Gregory, and G.H.P Gardner, An experimental investigation of factors affecting elastic wave velocities in porous media, Geophysics, 23, 459-493, 1958.
57. Zimmerman, R.W., and M.S. King, The effect of the extent of freezing on seismic velocities in unconsolidated permafrost, Geophysics, 51, 1285-1290, 1986.