Numerical modeling of magma withdrawal during explosive caldera-forming eruptions

Journal of Geophysical Research: Solid Earth

Volumn 106, Issue B8, 2001, Pages 16163-16175

  Folch, A ^a   Codina, R ^a   Marti J ^b  

^a INTERNATIONAL CENTER FOR NUMERICAL METHODS IN ENGINEERING CIMNE   (Spain)

^b INSTITUTE OF EARTH SCIENCES JAUME ALMERA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CALDERA; EULERIAN ANALYSIS; EXPLOSIVE VOLCANISM; LAGRANGIAN ANALYSIS; MAGMATISM; MODELING; VOLCANISM;

EID: 0034800799     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2001jb000181     Document Type: Article

References (34)

1. Blom, F.J., A monolithical fluid-structure interaction algorithm applied to the piston problem, Comput. Methods Appl. Mech. Eng., 167, 369-391, 1998.
2. Bower, S., and A.W. Woods, Control of magma volatile content and chamber depth on the mass erupted during explosive volcanic eruptions, J. Geophys. Res., 102, 10,273-10,290, 1997.
3. Branney, M.J., Downsag and extension at calderas: New perspectives on collapse geometries from ice-melt, mining and volcanic subsidence, Bull. Volcanol., 57, 303-318, 1995.
4. Druitt, T.H., and R.S.J. Sparks, On the formation of calderas during ignimbrite eruptions, Nature, 310, 679-681, 1984.
5. Farhat, C., M. Lesoinne, and N. Maman, Mixed explicit/implicit time integration of coupled aerolastic problems: Three-field formulation, geometric conservation and distributed solution, Int. J. Numer. Methods Fluids, 21, 807-835, 1995.
6. Folch, A., A numerical formulation to solve the ALE Navier-Stokes equations applied to the withdrawal of magma chambers, Ph.D. thesis, Univ. Politèc. de Catalunya, Barcelona, Spain, 2000.
7. Folch, A., J. Marti, R. Codina, and M. Vázquez, A numerical model for temporal variations during explosive central vent eruptions, J. Geophys. Res., 103, 20,883-20,899, 1998.
8. Folch, A., M. Vázquez, R. Codina, and J. Martí, A fractional-step finite-element method for the Navier-Stokes equations applied to magma chamber withdrawal, Comput. Geosci., 25, 263-275, 1999.
9. Ghia, U., K.N. Ghia, and C.T. Shin, High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method, J. Comput. Phys., 48, 387-411, 1982.
10. Gudmundsson, A., The formation of collapse calderas, Geology, 16, 808-810, 1988.
11. Gudmundsson, A., Formation and development of normal-fault calderas and the initiation of large explosive eruptions, Bull. Volcanol., 60, 160-171, 1998.
12. Gudmundsson, A., J. Martí, and E. Turón, Stress fields generating ring faults in volcanoes, Geophys. Res. Lett., 24, 1559-1562, 1997.
13. Henry, C.D., J.G. Price, and R.C. Smith, Chemical and thermal zonation in a mild-alkaline magma system in Infiernito caldera, trans-pecos Texas, Contrib. Mineral. Petrol., 98, 194-211, 1988.
14. Hildreth, W., Gradients in silicic magma chambers: Implications for lithospheric magmas, J. Geophys. Res., 86, 10,153-10,192, 1981.
15. Houzeaux, G., and R. Codina, Transmission conditions with constraints in domain decomposition methods for flow problems, Commun. Numer. Methods Eng., 17, 179-190, 2001.
16. Hughes, T. J. R., W. K. Liu, and T. K. Zimmerman, Lagrangian-Eulerian finite element formulation for incompressible viscous flow, Comput. Methods. Appl. Mech. Eng., 29, 329-349, 1981.
17. Lipman, P.W., The roots of ash flow calderas in western North America: Windows into tops of granitic batholiths, J. Geophys. Res., 89, 8801-8841, 1984.
18. Lipman, P.W., Subsidence of ash-flow calderas: Relation to caldera size and magma-chamber geometry, Bull. Volcanol., 59, 198-218, 1997.
19. Martí, J., G. Ablay, L.T. Redshaw, and R.S.J. Sparks, Experimental studies of collapse calderas, J. Geol. Soc. London, 151, 919-929, 1994.
20. Martí, J., A. Folch, G. Macedonio, and A. Neri, Pressure evolution during caldera forming eruptions, Earth Planet. Sci. Lett., 175, 275-287, 2000.
21. Masud, A., and T.J.R. Hughes, A space-time Galerkin/least-squares finite element formulation of the Navier-Stokes equations for moving domain problems, Comput. Methods Appl. Mech. Eng., 146, 91-126, 1997.
22. McLeod, P., The role of magma buoyancy in caldera-forming eruptions, Geophys. Res. Lett., 26, 2299-2302, 1999.
23. Papale, P., Modeling of magma ascent along volcanic conduits: A review, in The Mitigation of Volcanic Hazards, ECC Report, pp. 5-40, Environ. Clim. programme, Luxemburg, 1996.
24. Roberts, J. L., The intrusion of magmas into brittle rocks, in Mechanisms of igneous intrusion, edited by G. Newall and N. Rast, pp. 287-338, Gallery Press, Liverpool, 1970.
25. Shen, J., Hopf bifurcation of the unsteady regularized driven cavity-flow, J. Comput. Phys., 95, 228-245, 1991.
26. Smith, R.L., Ash flow magmatism, Spec. Pap. Geol. Soc. Am., 180, 5-27, 1979.
27. Smith, R.L., and R.A. Bailey, Resurgent caulderons, Mem. Geol. Soc. Am., 116, 613-622, 1968.
28. Spera, F., Some numerical experiments on the withdrawal of magma from crustal reservoirs, J. Geophys. Res., 89, 8222-8236, 1984.
29. Tait, S., C. Jaupart, and S. Vergniolle, Pressure, gas content and eruption periodicity of a shallow crystallizing magma chamber, Earth Planet. Sci. Lett., 92, 107-123, 1989.
30. Trial, A. F., F. Spera, J. Greer, and D. Yuen, Simulations of magma withdrawal from compositionally zoned bodies, J. Geophys. Res., 97, 6713-6733, 1992.
31. Walker, G.P.L., Downsag calderas, ring faults, caldera sizes, and incremetnal growth, J. Geophys. Res., 89, 8407-8416, 1984.
32. Williams, H., Calderas and their origin, Bull. Univ. of Calif., Dep. of Geol. Sci., 25, pp. 239-346, 1941.
33. Willams, H., and A.R. McBirney, in Volcanology, 397 pp., Freeman Couper and Co., San Francisco, Calif., 1979.
34. Wohletz, K.H., T.R. McGetchin, M.T. Standford II, and E.M. Jones, Hydrodynamic aspects of caldera-forming eruptions: numerical models, J. Geophys. Res., 89, 8269-8285, 1984.