Influence of contiguity on seismic velocities of partially molten aggregates

Journal of Geophysical Research: Solid Earth

Volumn 113, Issue 12, 2008, Pages

  Hier Majumder, Saswata ^a  

^a University of Maryland   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CAPILLARY WAVE; CORE-MANTLE BOUNDARY; ELASTIC MODULUS; MICROSTRUCTURE; P-WAVE; S-WAVE; SEISMIC VELOCITY; STEADY-STATE EQUILIBRIUM; THEORETICAL STUDY; VISCOSITY;

EID: 61449170093     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2008JB005662     Document Type: Article

References (65)

1. Bellehumeur, C. T., M. Bisaria, and J. Vlachopoulos (1996), An experimental study and model assessment of polymer sintering, Polym. Eng. Sci., 36, 2198-2207.
2. Berryman, J. (2000), Seismic velocity decrement ratios for regions of partial melt in the lower mantle, Geophys. Res. Lett., 27, 421-424.
3. Cooper, R., and D. Kohlstedt (1982), Interfacial energies in the olivine-basalt system, in High Pressure Research in Geophysics, Adv. Earth Planet Sci., vol. 12, edited by S. Akimoto and M. Manghnani, pp. 217-228, Center for Academic Publications, Tokyo, Japan.
4. Crowdy, D., and S. Tanveer (1998), A theory of exact solutions for annular viscous blobs, J. Nonlinear Sci., 8, 375-400.
5. Faul, U. H. (1997), Permeability of partially molten upper mantle rocks from experiments and percolation theory, J. Geophys. Res., 102(B5), 10,299-10,311.
6. Faul, U. H. (2001), Melt retention and seggregation beneath midocean ridges, Nature, 410, 920-923.
7. Faul, U. H., J. D. Fitz Gerald, and I. Jackson (2004), Shear wave attenuation and dispersion in melt-bearig olivine polycrystals: 2. Microstructural interpretation and seismological implications, J. Geophys. Res., 109, B06202, doi:10.1029/2003JB002407.
8. 3 perovskite determined by in situ X-ray observations up to 30 GPa and 2000 k, J. Geophys. Res., 101(B4), 8257-8269.
9. Gao, X.-W. (2006), Numerical evaluation of two-dimensional singular boundary integrals: Theory and Fortran code, J. Comput. Appl. Math., 188, 44-64.
10. Garnero, E., and A. K. McNamara (2008), Structure and dynamics of Earth's lower mantle, Science, 320, 626-628.
11. Garnero, E., J. Revenaugh, Q. Williams, T. Lay, and L. Kellogg (1998), Ultralow Velocity Zones at the Core-mantle Boundary, pp. 319-333, AGU, Washington, D. C.
12. German, R. (1985), Liquid Phase Sintering, Springer, New York.
13. Gifkins, R. C. (1970), Optical Microscopy of Metals, Elsevier, New York.
14. Gribb, T., and R. Cooper (2000), The effect of an equilibrated melt phase on the shear creep and attenuation behavior of polycrystalline olivine, Geophys. Res. Lett., 27(15), 2341-2344.
15. Guiggiani, M., and A. Gigante (1990), A general algorithm for multidimensional cauchy principal value integrals in the boundary element method, ASME Trans., 57, 906-915.
16. Happel, J., and H. Brenner (1983), Low Reynolds Number Hydrodynamics, Springer, New York.
17. Hier-Majumder, S., and D. Kohlstedt (2006), Role of dynamic grain boundary wetting in fluid circulation beneath volcanic arcs, Geophys. Res. Lett., 33, L08305, doi:10.1029/2006GL025716.
18. Hier-Majumder, S., P. H. Leo, and D. L. Kohlstedt (2004), On grain boundary wetting during deformation, Acta Mater., 52, 3425-3433.
19. Hier-Majumder, S., S. Mei, and D. L. Kohlstedt (2005), Water weakening of clinopyroxene in diffusion creep, J. Geophys. Res., 110, B07406, doi:10.1029/2004JB003414.
20. Hier-Majumder, S., Y. Ricard, and D. Bercovici (2006), Role of grain boundaries in magma migration and storage, Earth Planet. Sci. Lett., 248, 735-749.
21. Hirth, G., and D. L. Kohlstedt (1995), Experimental constraints on the dynamics of the partially molten upper mantle: Deformation in the diffusion creep regime, J. Geophys. Res., 100(B2), 1981-2001.
22. l-x)O, ferropericlase, Phys. Earth Planet. Inter., 139, 21-34.
23. Hopper, R. (1990), Plane stokes flow driven by capillarity on a free surface, J. Fluid Mech., 213, 349-375.
24. Hopper, R. (1993a), Coalescence of two viscous cylinders by capillarity: part I. Theory, J. Am. Ceram. Soc., 76, 2947-2952.
25. Hopper, R. (1993b), Coalescence of two viscous cylinders by capillarity: part II. Shape evolution, J. Am. Ceram. Soc., 76, 2953-2960.
26. Israelachvili, J. N. (1991), Intermolecular and Surface Forces, 2nd ed., Elsevier, New York.
27. Jackson, I., U. H. Faul, J. D. Fitz Gerald, and B. H. Tan (2004), Shear wave attenuation and dispersion in melt-bearig olivine polycrystals: 1. Specimen fabrication and mechanical testing, J. Geophys. Res., 109, B06201, doi:10.1029/2003JB002406.
28. Jellinek, A., and M. Manga (2004), Links between long-lived hotspots, mantle plumes D″, and plate tectonics, Rev. Geophys., 42, RG3002, doi:10.1029/2003RG000144.
29. Kang, S.-j. L. (2005), Sintering: Densification, Grain Growth and Microstructure, Elsevier, New York.
30. Kim, S. and S. J. Katilla (2005), Microhydrodynamics: Principles and Selected Applications, chap. 13, Dover, Mineola, N. Y.
31. Kuiken, H. (1993), Viscous sintering: The surface-tension-driven flow of a liquid form under the influence of curvature gradient at its surface, J. Fluid Mach., 214, 503-515.
32. Labrosse, S., J. Hernlund, and N. Coltice (2007), A crystallizing dense magma ocean at the base of earth's mantle, Nature, 450(6), 866-869.
33. Lachat, J., and J. Watson (1987), Effective numerical treatment of boundary integral equations: A formulation for three-dimensional elastostatics, Int. J. Numer. Meth. Eng., 10, 991-1005.
34. Ladyzhenskaya, O. (1963), The Mathematical Theory of Viscous Incompressible Flow, chap. 3, Gordon and Breach, New York.
35. Lamb, H. (1895), Hydrodynamics, chap. 11, Cambridge Univ. Press, New York.
36. Lay, T., E. J. Garnero, and Q. Williams (2004), Partial melting in a thermochemical boundary layer at the base of the mantle, Phys. Earth Planet., 146, 441-467.
37. Leal, G. (1992), Laminar Flow and Convective Transport Processes, chap. 5, Elsevier, New York.
38. Lean, M., and A. Wexler (1985), Accurate numerical integration of singular boundary element kernels over boundaries with curvature, Int. J. Numer. Meth. Eng., 21, 211-228.
39. Liebske, C., B. Schmickler, H. Terasaki, B. T. Poe, A. Suzuki, K. Funakoshi, R. Ando, and D. C. Rubie (2005), Viscosity of peridotite liquid up to 13 GPa: Implications for magma ocean viscosities, Earth Planet. Sci., 240, 589-604.
40. Manga, M., and H. Stone (1993), Buoyancy-driven interactions between two deformable viscous drops, J. Fluid Mech., 256, 647-683.
41. Masters, G., G. Laske, H. Bolton, and A. Dziewonski (2000), The relative behavior of shear velocity, bulk sound speed, and compressional velocity in the mantle: Implications for chemical and thermal structure, in Earth's Deep Interior: Mineral Physics and Tomography From the Atomic to the Global Scale, edited by S. I. Karato et al., pp. 63-87, AGU, Washington, D. C.
42. Ohtani, E., and M. Maeda (2001), Density of basaltic melt at high pressure and stability of the melt at the base of the lower mantle, Earth Planet. Sci. Lett., 193, 69-75.
43. Pozrikidis, C. (2001), Interfacial dynamics for stokes flow, J. Comput. Phys., 169, 250-301.
44. Press, W. H., S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery (1992), Numerical Recipes in FORTRAN, Cambridge Univ. Press, New York.
45. Rallison, J., and A. Acrivos (1978), A numerical study of deformation and burst of a viscous drop in an extensional flow, J. Fluid Mech., 89, 191-200.
46. Revenaugh, J., and R. Meyer (1997), Seismic evidence of partial melt within a possibly ubiquitous low-velocity layer at the base of the mantle, Science, 277, 670-673.
47. Riley, G., and D. Kohslstedt (1991), Kinetics of melt migration in upper mantle-type rocks, Earth Planet. Sci. Lett., 105, 500-521.
48. Roberts, J. J., and J. A. Tyburczy (1999), Partial-melt electrical conductivity: Influence of melt composition, J. Geophys. Res., 104(B4), 7055-7066.
49. Rost, S., E. J. Garnero, Q. Williams, and M. Manga (2005), Seismological constraints on a possible plume root at the core-mantle boundary, Nature, 435, 666-669.
50. Scott, T., and D. Kohlstedt (2006), The effect of large melt fraction on the deformation behavior of peridotite, Earth Planet. Sci. Lett., 246, 177-187.
51. 3 liquid in Earth's lower mantle, Science, 310, 297-299.
52. Takei, Y. (1998), Constitutive mechanical relations of solid-liquid composites in terms of grain boundary contiguity, J. Geophys. Res., 103(B8), 18,183-18,203.
53. Takei, Y. (2000), Acoustic properties of partially molten media studied on a simple binary system with a controllable dihedral angle, J. Geophys. Res., 105(B7), 16,665-16,692.
54. S: From equilibrium geometry to crack, J. Geophys. Res., 107(B2), 2043, doi:10.1029/2001JB000522.
55. Taylor, G. (1932), The viscosity of a fluid containing small drops of another fluid, Proc. R. Soc. Lond., 138, 41-48.
56. Telles, J. (1987), A self-adaptive coordinate transformation for efficient numerical evaluation of general boundary element integrals, Int. J. Numer. Meth. Eng., 24, 959-973.
57. ten Grotenhuis, S., M. Drury, C. Spiers, and C. J. Peach (2005), Melt distribution in olivine rocks based on electrical conductivity experiments, J. Geophys. Res., 110, B12201, doi:10.1029/ 2004JB003462.
58. von Bargen, N., and H. Waff (1986), Permeabilities, interfacial areas and curvatures of partially molten systems: Results of numerical computations of equilibrium microstructures, J. Geophys. Res., 91(B9), 9261-9276.
59. Walsh, J. (1969), New analysis of attenuation in partially molten rocks, J. Geophys. Res., 74, 4333-4337.
60. Wark, D., and E. Watson (1998), Grain scale permeabilities of texturally equilibriated, monomineralic rocks, Earth Planet. Sci. Lett., 164, 591-606.
61. Watt, J. P., G. F. Davies, and R. J. O'Connell (1976), The elastic properties of composite materials, Rev. Geophys., 14(4), 541-563.
62. Williams, Q., and E. Garnero (1996), Seismic evidence for partial melt at the base of Earth's mantle, Science, 273, 1528-1530.
63. Wray, P. J. (1976), The geometry of two-phase aggregates in which the shape of the second phase is determined by its dihedral angle, Acta Metall., 24, 125-135.
64. Yoshino, T., M. J. Walter, and T. Katsura (2003), Core formation in planetesimals triggered by permeable flow, Nature, 422, 154-157.
65. Yoshino, T., Y. Takei, D. Wark, and E. Watson (2005), Grain boundary wetness of texturally equilibrated rocks, with implications for seismic properties of the upper mantle, J. Geophys. Res., 110, B08205, doi:10.1029/2004JB003544.