Linear analysis of melt band formation by simple shear

Geochemistry, Geophysics, Geosystems

Volumn 4, Issue 9, 2003, Pages

  Spiegelman, Marc ^a  

^a Department of Earth and Environmental Sciences   (United States)

Author keywords

Deformable porous media; Linear analysis; Melt localization

Indexed keywords

EID: 3242800832     PISSN: 15252027     EISSN: 15252027     Source Type: Journal    
DOI: 10.1029/2002GC000499     Document Type: Article

References (21)

1. Bercovici, D., Y. Ricard, and G. Schubert, A two-phase model for compaction and damage: 1. General theory, J. Geophys. Res., 106, 8887-8906, 2001a.
2. Bercovici, D., Y. Ricard, and G. Schubert, A two-phase model for compaction and damage: 3. Applications to shear localization and plate boundary formation, J. Geophys. Res., 106, 8925-8939, 2001b.
3. Fowler, A. C., A mathematical model of magma transport in the asthenosphere, Geophys. Astrophys. Fluid Dyn., 33, 63-96, 1985.
4. Hirth, G., and D. L. Kohlstedt, Experimental constraints on the dynamics of the partially molten upper mantle: Deformation in the diffusion creep regime, J. Geophys. Res., 100, 1981-2002, 1995a.
5. Hirth, G., and D. L. Kohlstedt, Experimental constraints on the dynamics of the partially molten upper mantle: 2. Deformation in the dislocation creep regime, J. Geophys. Res., 100, 15,441-15,052, 1995b.
6. Holtzman, B. K., N. J. Groebner, M. E. Zimmerman, S. B. Ginsberg, and D. L. Kohlstedt, Stress-driven melt segregation in partially molten rocks, Geochem. Geophys. Geosyst., 4(5), 8607, doi:10.1029/2001GC000258, 2003.
7. Kelemen, P. B., G. Hirth, N. Shimizu, M. Spiegelman, and H. J. B. Dick, A review of melt migration processes in the adiabatically upwelling mantle beneath oceanic spreading ridges, Philos. Trans. R. Soc. London Ser. A, 355, 283-318, 1997.
8. McKenzie, D., The generation and compaction of partially molten rock, J. Petrol., 25, 713-765, 1984.
9. Mei, S., W. Bai, T.Hiraga, and D. Kohlstedt, Influence of melt on the creep behavior of olivine-basalt aggregates under hydrous conditions, Earth Planet. Sci. Lett., 201, 491-507, 2002.
10. Renner, J., K. Visckupic, G. Hirth, and B. Evans, Melt extraction from partially molten peridotites, Geochem. Geophys. Geosyst., 4(5), 8606, doi:10.1029/2002GC000369, 2003.
11. Ricard, Y., D. Bercovici, and G. Schubert, A two-phase model for compaction and damage: 2. Applications to compaction, deformation, and the role of interfacial surface tension, J. Geophys. Res., 106, 8907-8924, 2001.
12. Riley, G. N., and D. L. Kohlstedt, Kinetics of melt migration in upper mantle-type rocks, Earth Planet. Sci. Lett., 105, 500-521, 1991.
13. Scott, D. R., The competition between percolation and circulation in a deformable porous medium, J. Geophys. Res., 93, 6451-6462, 1988.
14. Scott, D. R., and D. Stevenson, Magma solitons, Geophys. Res. Lett., 11, 1161-1164, 1984.
15. Scott, D. R., and D. Stevenson, Magma ascent by porous flow, J. Geophys. Res., 91, 9283-9296, 1986.
16. Spiegelman, M., Flow in deformable porous media: Part 1. Simple analysis, J. Fluid Mech., 247, 17-38, 1993a.
17. Spiegelman, M., Flow in deformable porous media: Part 2. Numerical analysis-The relationship between shock waves and solitary waves, J. Fluid Mech., 247, 39-63, 1993b.
18. Spiegelman, M., and D. McKenzie, Simple 2-D models for melt extraction at mid-ocean ridges and island arcs, Earth Planet. Sci. Lett., 83, 137-152, 1987.
19. Stevenson, D. J., Spontaneous small-scale melt segregation in partial melts undergoing deformation, Geophys. Res. Lett., 16, 1067-1070, 1989.
20. Whitham, G., Linear and nonlinear waves, John Wiley, New York, 1974.
21. Zimmerman, M. E., S. Q. Zhang, D. L. Kohlstedt, and S. Karato, Melt distribution in mantle rocks deformed in shear, Geophys. Res. Lett., 26, 1505-1508, 1999.