Theory for acoustic propagation in marine sediment containing gas bubbles which may pulsate in a non-stationary nonlinear manner

Geophysical Research Letters

Volumn 34, Issue 17, 2007, Pages

  Leighton, T G ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLES (IN FLUIDS); MATHEMATICAL MODELS; OCEANOGRAPHY; SEDIMENTS; SIGNAL TO NOISE RATIO;

GAS BUBBLES; MARINE SEDIMENTS;

ACOUSTIC WAVE PROPAGATION;

ACOUSTIC PROPERTY; BUBBLE; FLUID DYNAMICS; MARINE SEDIMENT; NUMERICAL MODEL; PREDICTION; SIGNAL-TO-NOISE RATIO; THEORETICAL STUDY;

EID: 35948982203     PISSN: 00948276     EISSN: None     Source Type: Journal    
DOI: 10.1029/2007GL030803     Document Type: Article

References (39)

1. Alekseev, V. N., and S. A. Rybak (1999), Gas bubble oscillations in elastic media, Acoust. Phys., 45(5), 535-540.
2. Allen, J. S., and R. A. Roy (2000a), Dynamics of gas bubbles in viscoelastic fluids. II: Linear viscoelasticity, J. Acoust. Soc. Am., 107(6), 3167-3178.
3. Allen, J. S., and R. A. Roy (2000b), Dynamics of gas bubbles in viscoelastic fluids. II: Nonlinear viscoelasticity, J. Acoust. Soc. Am., 108(4), 1640-1650.
4. Anderson, A. L., and L. D. Hampton (1980a), Acoustics of gas-bearing sediment. I: Background, J. Acoust. Soc. Am., 67(6), 1865-1889.
5. Anderson, A. L., and L. D. Hampton (1980b), Acoustics of gas-bearing sediment. II: Measurements and models, J. Acoust. Soc. Am., 67(6), 1890-1905.
6. Anderson, A. L., F. Abegg, J. A. Hawkins, M. E. Duncan, and A. P. Lyons (1998), Bubble populations and acoustic interaction with the gassy floor of Eckernforde Bay, Cont. Shelf Res., 18(14-15), 1807-1838.
7. Andreassen, K., P. E. Hart, and M. MacKay (1997), Amplitude versus offset modelling of the bottom simulating reflection associated with submarine gas hydrates, Mar. Geol., 137(1-2), 25-40.
8. Biot, M. A. (1956a), The theory of propagation of elastic waves in fluid-saturated porous solids: I. Low-frequency range, J. Acoust. Soc. Am., 28(2), 168-178.
9. Biot, M. A, (1956b), The theory of propagation of elastic waves in a fluid-saturated porous solid: 2. Higher frequency range, J. Acoust. Soc. Am., 28 (2), 179-191.
10. Biot, M. A. (1962), Generalized theory of acoustic propagation in porous dissipative media, J. Acoust. Soc. Am., 34(9), 1254-1264.
11. Chapman, R. B., and M. S. Plesset (1971), Thermal effects in the free oscillation of gas bubbles, Trans. ASME J. Basic Eng., 93, 373-376.
12. Church, C. C. (1995), The effects of an elastic solid surface layer on the radial pulsations of gas bubbles, J. Acoust. Soc. Am., 97(3), 1510-1521.
13. Domenico, S. N. (1976), Effect of brine-gas mixture on velocity in an unconsolidated sand reservoir, Geophysics, 41(5), 882-894.
14. Domenico, S. N. (1977), Elastic properties of unconsolidated porous sand reservoirs, Geophysics, 42(7), 1339-1368.
15. Fleischer, P., T. H. Orsi, M. D. Richardson, and A. L. Anderson (2001), Distribution of free gas in marine sediments: A global overview, Geo Mar. Lett., 21, 103-122.
16. Foldy, L. L. (1945), The multiple scattering of waves, Phys. Rev., 67, 107-119.
17. Gregory, A. R. (1976), Fluid saturation effects on dynamic elastic properties of sedimentary rocks, Geophysics, 41(5), 895-921.
18. Hawkins, J. A., and A. Bedford (1992), Variational theory of bubbly media with a distribution of bubble sizes. 2: Porous solids, Int. J. Eng. Sci., 30(9), 1177-1186.
19. Herskowitz, M., S. Levisky, and I. Shreiber (2000), Attenuation of ultrasound in porous media with dispersed microbubbles, Ultrasonics, 38, 767-769.
20. Hill, J. M., J. P. Halka, R. Conkwright, K. Koczot, and S. Coleman (1992), Distribution and effects of shallow gas on bulk estuarine sediment properties, Cont. Shelf Res., 12(10), 1219-1229.
21. Judd, A. G. (2003), The global importance and context of methane escape from the seabed, Geo Mar. Lett., 23, 147-154.
22. Judd, A. G., and M. Hovland (1992), The evidence of shallow gas in marine sediments, Cont. Shelf. Res., 12(10), 1081-1095.
23. Leighton, I G. (1994), The Acoustic Bubble, Academic, London.
24. Leighton, T. G. (2004), From seas to surgeries, from babbling brooks to baby scans: The acoustics of gas bubbles in liquids, Int. J. Mod. Phys. B, 18(25), 3267-3314.
25. Leighton, T. G. (2007), What is ultrasound?, Prog. Biophys. Mol. Biol., 93(1-3), 3-83.
26. Leighton, T. G., S. D. Meers, and P. R. White (2004), Propagation through nonlinear time-dependent bubble clouds, and the estimation of bubble populations from measured acoustic characteristics, Proc, R. Soc. London, Ser A, 460(2049), 2521-2550.
27. Minshull, T. A., S. C. Singh, and G. K. Westbrook (1994), Seismic velocity structure at a gas hydrate reflector, offshore western Colombia, from full waveform inversion, J. Geophys. Res., 99(B3), 4715-4734.
28. Morgan, K. E., J. S. Allen, P. A. Dayton, J. E. Chomas, A. L. Klibanov, and K. W. Ferrara (2000), Experimental and theoretical evaluation of microbubble behavior: Effect of transmitted phase and bubble size, IEEE Trans. Ultrason. Ferroelectr. Frequation Control, 47, 1494-1509.
29. Prosperetti, A., and Y. Hao (1999), Modelling of spherical gas bubble oscillations and sonoluminescence, Philos. Trans. R. Soc. London, Ser. A, 357, 203-223.
30. Qin, B., J. Chen, and J. Cheng (2006), Influence of the surrounding pressure on acoustic properties of slightly compressible porous media permeated with air-filled bubbles, Acoust. Phys., 52(4), 418-424.
31. Reed, A. H., B. P. Boudreau, C. Algar, and Y. Furukawa (2005), Morphology of gas bubbles in mud: A microcomputed tomographic evaluation, paper presented at the 1st International Conference of Underwater Acoustic Measurements: Technologies and Results, Found. for Res. and Technol. HELLAS, Heraklion, Greece, 28 June-1 July.
32. Robb, G. B. N., T. G. Leighton, J. K. Dix, A. I. Best, V. F. Humphrey, and P. R. White (2006), Measuring bubble populations in gassy marine sediments: A review, Proc. Inst. Acoust., 28(1), 60-68.
33. Sills, G. C., S. J. Wheeler, S. D. Thomas, and T. N. Gardiner (1991), Behaviour of offshore soils containing gas bubbles, Geotechnique, 41(2), 227-241.
34. Smeulders, D. M. J., and M. E. H. Van Dongen (1997), Wave propagation in porous media containing a dilute gas-liquid mixture: Theory and experiments, J. Fluid Mech., 343, 351-373.
35. Stoll, R. D. (1974), Sediment Acoustics, Lecture Notes Earth Sci., vol. 26, Springer, New York.
36. Stoll, R. D., and E. O. Bautista (1998), Using the Biot theory to establish a baseline geoacoustic model for seafloor sediments, Cont. Shelf Res., 18(14-15), 1839-1857.
37. Vorkurka, K. (1986), Comparison of Rayleigh's, Herring's, and Gilmore's models of gas bubbles, Acustica, 59, 214-219.
38. Wheeler, S. J., and T. N. Gardiner (1989), Elastic moduli of soils containing large gas bubbles, Geotechnique, 39(2), 333-342.
39. Zabolotskaya, E. A., Y. A. Ilinskii, G. D. Meegan, and M. F. Hamilton (2005), Modifications of the equation for gas bubble dynamics in a soft elastic medium, J. Acoust. Soc. Am., 118(4), 2173-2181.