Dynamics of bubble oscillation and wave propagation in viscoelastic liquids

Journal of Volcanology and Geothermal Research

Volumn 129, Issue 1-3, 2004, Pages 37-60

  Ichihara, Mie ^a   Ohkunitani, Hiroshi ^b   Ida, Yoshiaki ^c   Kameda, Masaharu ^b  

^a TOHOKU UNIVERSITY   (Japan)

^b TOKYO UNIVERSITY OF AGRICULTURE AND TECHNOLOGY   (Japan)

^c UNIVERSITY OF HYOGO   (Japan)

Author keywords

Bubble; Dynamic property of a mixture; Experimental studies; Magmas; Pressure wave; Viscoelasticity

Indexed keywords

BUBBLE FORMATION; NUMERICAL METHODS; OSCILLATIONS; VISCOELASTICITY; WAVE PROPAGATION;

BUBBLE OSCILLATIONS;

SEISMOLOGY;

BUBBLE; CAVITATION; DEGASSING; MAGMA CHEMISTRY; VISCOELASTIC FLUID; VISCOSITY; VOLCANISM; WAVE PROPAGATION;

EID: 0344719103     PISSN: 03770273     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0273(03)00231-2     Document Type: Article

References (69)

1. Bagdassarov N.S.Dingwell D.B.Frequency dependent rheology of vesicular rhyolite J. Geophys. Res. 98 1993 6477-6487
2. Bagdassarov N.S.Dingwell D.B.Webb S.L.Effect of boron phosphorus and fluorine on shear stress relaxation in haplogranitic melt Eur. J. Mineral. 5 1993 409-425
3. Bansal, N.P., Doremus, R.H., 1986. Handbook of Glass Properties. Academic Press, New York, pp. 680.
4. Barnes, H.A., Hutton, J.F., Walters, K., 1989. An Introduction to Rheology. Elsevier, pp. 37-43.
5. Benoit J.P.McNutt S.R.New constraints on source processes of volcanic tremor at Arenal volcano, Costa Rica, using broadband seismic data Geophys. Res. Lett. 24 1997 449-452
6. Brujan E.A.A first-order model for bubble dynamics in a compressible viscoelastic liquid J. Non-Newtonian Fluid Mech. 84 1999 83-103
7. Brujan E.A.Ohl C.-D.Lauterborn W.Philipp A.Dynamics of laser-induced cavitation bubbles in polymer solutions ACUSTICA 82 1996 423-430
8. Caflish R.E.Miksis M.J.Papanicolaou G.C.Ting L.Effective equation for wave propagation in bubbly liquids J. Fluid Mech. 153 1985 259-273
9. Campbell I.J.Pitcher A.S.Shock waves in a liquid containing gas bubbles Proc. R. Soc. London A 243 1958 534-545
10. Cheyne S.A.Stebbings C.T.Roy R.A.Phase velocity measurements in bubbly liquids using a fiber optic laser interferometer J. Acoust. Soc. Am. 97 1995 1621-1624
11. Chouet, B.A., 1996. New methods and future trends in seismological volcano monitoring. In: Monitoring and Mitigation of Volcano Hazards. Springer, Berlin, pp. 23-97.
12. Commander K.W.Prosperetti A.Linear pressure waves in bubbly liquids: Comparison between theory and experiments J. Acoust. Soc. Am. 85 1989 732-746
13. Dingwell D.B.Webb S.L.Structural relaxation in silicate melts and non-newtonian melt rheology in geologic processes Phys. Chem. Miner. 16 1989 508-516
14. Fogler H.S.Goddard J.D.Collapse of spherical cavities in viscoelastic fluids Phys. Fluids 13 1970 1135-1141
15. Fogler H.S.Goddard J.D.Oscillations of a gas bubble in viscoelastic liquids subject to acoustic and impulsive pressure variations J. Appl. Phys. 42 1971 259-263
16. Garces M.A.McNutt S.R.Theory of the sound field generated by a resonant magma conduit J. Volcanol. Geotherm. Res. 78 1997 155-178
17. Garces M.A.Hagerty M.T.Schwartz S.Y.Magma acoustics and time-varying melt properties at Arenal Volcano, Costa Rica Geophys. Res. Lett. 25 1998 2293-2296
18. Garces M.A.McNutt S.R.Hansen R.A.Eichelberger J.C.Application of wave-theoretical seismoacoustic models to the interpretation of explosion and eruption tremor signals radiated by Pavlof volcano, Alaska J. Geophys. Res. 105 2000 3039-3058
19. Gaunaurd G.C.Überall H.Theory of resonant scattering from spherical cavities in elastic and viscoelastic media J. Acoust. Soc. Am. 63 1978 1699-1712
20. Gaunaurd G.C.Überall H.Resonance theory of bubbly liquids J. Acoust. Soc. Am. 69 1981 362-370
21. Graessley, W.W., 1993. Viscoelasticity and flow in polymer melts and concentrated solutions. In: Mark, J.E., Eisenberg, A., Graessley, W.W., Mandelkern, L., Samulski, E.T., Koenig, J.L., Wignall, G.D. (Eds.), Physical Properties of Polymers, 2nd edn. Am. Chem. Soc. pp. 97-143.
22. Ichihara, M., Ohkunitani, H., Kameda, M., 1999. Bubble oscillation in a compressible viscoelastic liquid: Theory and experiment. Proc. ASME/JSME FEDSM'99, p. 6766.
23. Kajitani, M., Kamemizu, T., Kameda, M., Ichihara, M., 2002. Dynamic viscoelasticity parameter measurement using the bubble oscillation. Proc. Mech. Eng. Congress 3, pp. 15-16 (in Japanese with English abstract).
24. Kameda M.Matsumoto Y.Shock waves in a liquid containing small gas bubbles Phys. Fluids 8 1996 322-335
25. Kameda M.Matsumoto Y.Nonlinear oscillation of a spherical gas bubble in acoustic fields J. Acoust. Soc. Am. 106 1999 3156-3166
26. Kameda M.Shimaura N.Higashino F.Matsumoto Y.Shock waves in a uniform bubbly flow Phys. Fluids 10 1998 2661-2668
27. Keller J.B.Miksis M.J.Bubble oscillations of large amplitude J. Acoust. Soc. Am. 68 1980 628-633
28. Kiefer S.W.Sound speed in liquid-gas mixtures: Water-air and water-steam J. Geophys. Res. 82 1977 2895-2904
29. Korneev V.A.Johnson L.R.Scattering of elastic waves by a spherical inclusion-II. Limitations of asymptotic solutions Geophys. J. Int. 115 1993 251-263
30. Kumagai H.Chouet B.The dependence of acoustic properties of a crack on the resonance mode and geometry Geophys. Res. Lett. 28 2001 3325-3328
31. Kuster G.T.Toksöz M.N.Volocity and attenuation of seismic waves in two-phase media: 1. Theoretical formulations Geophysics 39 1974 587-606
32. Lane S.J.Chouet B.A.Phillips J.C.Dawson P.Ryan G.A.Hurst E.Experimental observations of pressure oscillations and flow regimes in an analogue volcanic system J. Geophys. Res. 106 2001 6461-6476
33. 2 glasses J. Non-Cryst. Solids 3 1970 127-147
34. Llewellin E.W.Mader H.M.Wilson S.D.R.The rheology of a bubbly liquid Proc. R. Soc. London A 458 2002 987-1016
35. Macedo P.B.Simmons J.H.Haller W.Spectrum of relaxation times and fluctuation theory: Ultrasonic studies on an alkali-borosillicate melt Phys. Chem. Glasses 9 1968 156-164
36. Manga M.Loewenberg M.Viscosity of magmas containing highly deformable bubbles J. Volcanol. Geotherm. Res. 105 2001 19-24
37. Matsumoto Y.Kameda M.Propagation of shock waves in dilute bubbly liquids (Governing equations, Hugoniot relations, and effect of slippage between two phases) JSME Int. J. Ser. B 39 1996 264-272
38. Matsuo, K., Aoki, T., Miyazato, Y., Handa, T., Oka, H., Kobayashi, M., 1997. Characteristics of pressure wave propagation through bubbly flow in a vertical pipe. Proc. 16th Multiphase Flow Symposium, Japan, pp. 131-134 (in Japanese).
39. Mikada M.Volcanic tremor originating from Asama Volcano: Interpretation of tremor associated with the 1973 and the 1982 activity (in Japanese) Bull. Volcanol. Soc. Jpn. 37 1992 21-33
40. Mills J.J.Low frequency storage and loss moduli of soda silica glasses in the transformation range J. Non-Cryst. Solids 14 1974 225-268
41. Nishimura, T., Chouet, B., 2002. Numerical simulation of the seismic waves and compressible fluid motions associated with volcanic eruptions. Abstract of 2002 Joint Meeting, Earth Planet. Sci., Japan, V072-002.
42. Noordzij L.van Wijngaarden L.Relaxation effects, caused by relative motion, on shock waves in gas-bubble/liquid mixtures J. Fluid Mech. 66 1974 115-143
43. Phillips J.C.Lane S.J.Lejeune A.M.Hilton M.Gum rosin-acetone system as an analogue to the degassing behavior of hydrated magmas Bull. Volcanol. 57 1995 263-268
44. Prosperetti A.Bubble phenomena in sound fields 2 Ultrasonics 22 1984 115-124
45. Prosperetti A.The thermal behavior of oscillating gas bubbles J. Fluid Mech. 222 1991 587-616
46. Prosperetti A.Lezzi A.Bubble dynamics in a compressible liquid. Part 1. First-order theory J. Fluid Mech. 168 1986 457-478
47. Rayleigh, L., 1917. On the pressure developed in a liquid during the collapse of a spherical cavity. Phil. Mag. 6th Ser. 34, 94-98.
48. Ripepe M.Gordeev E.Gas bubble dynamics model for shallow volcanic tremor at Stromboli J. Geophys. Res. 104 1999 10639-10654
49. Ripepe M.Poggi P.Braun T.Gordeev E.Infrasonic waves and volcanic tremor at Stromboli Geophys. Res. Lett. 23 1996 181-184
50. Rivers M.L.Carmichael I.S.E.Ultrasonic studies of silicate melts J. Geophys. Res. 92 1987 9247-9270
51. Secco R.A.Manghnani M.H.Liu T.-C.The bulk modulus-attenuation-viscosity systematics of diopside-anorthite melts Geophys. Res. Lett. 18 1991 93-96
52. Shima A.Studies on bubble dynamics Shock Waves 7 1997 33-42
53. Silberman E.Sound velocity and attenuation in bubbly mixtures measured in standing wave tubes J. Acoust. Soc. Am. 29 1957 925-933
54. Takemura F.Matsumoto Y.Influence of internal phenomena on gas bubble motion (Effects of transport phenomena and mist formation inside bubble in the expanding phase) JSME Int. J. Ser. B 37 1994 736-745
55. Tanasawa I.Yang W.-J.Dynamic behavior of a gas bubble in viscoelastic liquids J. Appl. Phys. 41 1970 4522-4531
56. van Wijngaarden L.One-dimensional flow of liquids containing small gas bubbles Annu. Rev. Fluid Mech. 4 1972 369-396
57. Varadan V.K.Varadan V.V.Ma Y.A propagator model for scattering of acoustic waves by bubbles in water J. Acoust. Soc. Am. 78 1985 1879-1881
58. Varadan, V.V., Ma, Y., Varadan, V.K., Lakhtakia, A., 1991. Scattering of waves by spheres and cylinders. In: Varadan, V.V., Lakhtakia, A., Varadan, V.K. (Eds.), Field Representations and Introduction to Scattering. Elsevier/North Holland, pp. 211-324.
59. Vergniolle S.Brandeis G.Origin of the sound generated by Strombolian explosions Geophys. Res. Lett. 21 1994 1959-1962
60. Vergniolle S.Brandeis G.Strombolian explosions 1. A large bubble breaking at the surface of a lava column as a source of sound J. Geophys. Res. 101 1996 20433-20447
61. 5 Am. Mineral. 76 1991 1449-1454
62. Webb S.L.Low-frequency shear and structural relaxation in rhyolite melt Phys. Chem. Mineral. 19 1992 240-245
63. Webb S.L.Silicate melts: Relaxation, rheology, and glass transition Rev. Geophys. 35 1997 191-218
64. Webb S.L.Dingwell D.B.The onset of non-Newtonian rheology of silicate melts: A fiber elongation study Phys. Chem. Mineral. 17 1990 125-132
65. Webb S.L.Dingwell D.B.Non-Newtonian rheology of igneous melts at high stresses and strain rates: Experimental results for rhyolite, andesite, basalt, and nephelinite Geophys. Res. 95 1990 15695-15701
66. Webb, S.L., Dingwell, D.B., 1995. Viscoelasticity. In: Stebbins, J.F., McMillan, P.F., Dingwell, D.B. (Eds.), Structure, Dynamics, and Properties of Silicate Melts. Rev. Mineral. 32, pp. 95-119.
67. Yoneda, A., 1998. Liquid-solid hybrid resonance method for investigating acoustic properties of magmas. In: Nakahara, M., Eds Rev. High Pressure Sci. Technol., Japan Soc. High Pressure Sci. and Tech., Kyoto, Japan, pp. 79-82.
68. Yoneda A.The xyzr algorithm specialized for eigenvibration problem of bored and laminated objects J. Sound Vib. 236 2000 431-441
69. Zimanowski B.FröhlichLorenz V.Quantitative experiments on phreatomagmatic explosions J. Volcanol. Geotherm. Res. 48 1991 341-358