A numerical method for investigating crystal settling in convecting magma chambers

Geochemistry, Geophysics, Geosystems

Volumn 10, Issue 12, 2009, Pages

  Verhoeven, J ^a   Schmalzl, J ^a  

^a UNIVERSITY OF MÜNSTER   (Germany)

Author keywords

Convection; Crystal settling; Magma chamber; Modeling; Particle; Particle fluid interaction

Indexed keywords

EID: 76149120104     PISSN: 15252027     EISSN: 15252027     Source Type: Journal    
DOI: 10.1029/2009GC002509     Document Type: Article

References (32)

1. Abbas, M., E. Climenta, O. Simonin, and M. R. Maxey (2006), Dynamics of bidisperse suspensions under Stokes flows: Linear shear flow and sedimentation, Phys. Fluids, 18, 121504.
2. Allen, M. P., and D. J. Tildesley (1987), Computer Simulation of Liquids, Oxford Univ. Press, Oxford, U. K.
3. Barlett, R. W. (1969), Magma convection, temperature distribution, and differentiation, Am. J. Sci., 267, 1067-1082.
4. Bashir, Y. M., and J. D. Goddard (1991), A novel simulation method for the quasi-static mechanics of granular assemblages, J. Rheol., 35, 849-885.
5. Blankenbach, B., et al. (1989), A benchmark comparison for mantle convection codes, Geophys. J. Int., 98, 23-38.
6. Campbell, I. H. (1978), Some problems with cumulus theory, Lithos, 11, 311-321.
7. Chen, C. F., and J. S. Turner (1980), Crystallization in a double-diffusive system, J. Geophys. Res., 85, 2537-2593.
8. Cundall, P. A., and O. D. L. Strack (1979), A. discrete numerical model for granular assemblies, Géotechnique, 29, 47-65.
9. Garside, J., and M. R. Al-Dibouni (1977), Velocity-voidage relationships for fluidization and sedimentation in solidliquid systemsInd. Eng. Chem. Process Design Dev., 16, 206-214.
10. Herrmann, H. J., and S. Luding (1998), Modeling granular media with, the computer, Continuum Meek Thermodyn., 10, 189-231.
11. Hess, G. B. (1972), Heat and mass transport during crystallization of the Stillwater igneous complex, Mem. Geol. Soc. Am., 132, 503-520.
12. Höink, T., J. Schmalzl, and U. Hansen (2006), Dynamics of metal-silicate separation in a terrestrial magma ocean, Geochem. Geophys. Geosyst., 7, Q09008, doi:10.1029/ 2006GC001268.
13. Huppert, H. E., and R. S. J. Sparks (1984), Double-diffusive convection due to crystallization in magmas, Annu. Rev. Earth Planet. Sci., 12, 11-37.
14. Irvine, T. N. (1970), Heat transfer during solidification of layered intrusions. 1. Sheets and sills, Can. J. Earth Sci., 7, 1031-1061.
15. Johnson, K. L. (1989), Contact Mechanics, Cambridge Univ. Press, Cambridge, U. K.
16. Komiwes, V., P. Mege, Y. Meimon, and H. Herrmann (2006), Simulation of granular flow in a fluid applied to sedimentation, Granular Matter, 8, 41-54.
17. Kuusela, E., J. M. Lahtinen, and T. Ala-Nissila (2004), Sedimentation dynamics of spherical particles in confined geometries, Phys. Rev. E, 69, 066310.
18. Ladd, A. J. C. (1.994), Numerical simulations of particulate suspensions via a discretized Boltzmann equation, J. Fluid Meeh., 271, 285-339.
19. Ladd, A. J. C., and R. Verberg (2001), Lattice-Boltzmann simulations of particle-fluid suspensions, J. Stat. Phys., 104, 1191-1251.
20. Marsh, B. D. (1989), Magma chambers, Annu. Rev. Earth Planet. Sci., 17, 439-474.
21. Martin, D., and R. Nokes (1988), Crystal settling in a vigorously convecting magma chamber, Nature, 332, 534-536.
22. McBurney, A. R., and R. M. Noyes (1979), Crystallisation and layering of the skaergaard intrusion, J. Petrol, 20,487-554.
23. Moresi, L., F. Dufour, and H.-B. Mühlhaus (2003), A Lagrangian integration point finite element method for large deformation modeling of viscoelastic geomaterials, J. Comput Phys., 184(2), 476-497. (Pubitemid 36269981)
24. Richardson, J. F., and W. N. Zaki (1954), Sedimentation and fluidisation. Part 1, Trans. Inst. Chem. Eng, 32, 35-53.
25. Shaw, H. R. (1965), Comments on viscosity, crystal settling and convection in granitic magmas, Am. J. Sci., 263, 120-152.
26. Trompert, R. A., and U. Hansen (1.996), The application, of a finite volume multigrid method to threedimensional flow problems in a highly viscous fluid, with a variable viscosity, Geophys. Astrophys. Fluid Dyn., 83, 261-291.
27. Turner, J. S., and I. H. Campbell (1.986), Convection and mixing in magma chambers, Earth Sci. Rev., 23, 255-352.
28. Turner, J. S., and L. B. Gustafson (1978), The flow of hot saline solutions from vents in the sea floor: Some implications for exhalative sulfide and other ore deposits, Econ. Geol., 73, 1082-1100.
29. Vermeer, P. A., S. Diebels, W. Ehlers, H. J. Herrmann, S. Luding and E. Ramm (2001), Continuous and Discontinous Modelling of Cohesive Frictional Materials, Lect. Notes in Phys., vol.568, Springer, New York.
30. Wachmann,B.,WKalthoff,S.SchwarzerandH.J.Herrmann(1998), Collectivedragandsedimentation: Comparisonofsimulationandexperimentintwoandthreedimensions,GranularMatter,1, 75-82.(Pubitemid128143601)
31. Yan, Y., and J. Koplik (2009), Transport and sedimentation of suspended particles in inertial pressure-driven flow, Phys. Fluids, 21, 013301.
32. Yin, X., and D. L. Koch (2008), Velocity fluctuations and hydrodynamic diffusion in finite-Reynolds-number sedimenting suspensions, Phys. Fluids, 20, 043305.