Magma reservoir failure on the terrestrial planets: Assessing the importance of gravitational loading in simple elastic models

Journal of Volcanology and Geothermal Research

Volumn 166, Issue 2, 2007, Pages 47-75

  Grosfils, Eric B ^a  

^a POMONA COLLEGE   (United States)

Author keywords

finite element modeling; free surface effect; gravitational loading; gravity; inflation; intrusion geometry; magma reservoir; neutral buoyancy; planetary volcanism; rupture location; surface displacement

Indexed keywords

FINITE ELEMENT METHOD; GRAVITATION; SOLAR SYSTEM; TOPOGRAPHY; VOLCANOES;

GRAVITATIONAL LOADING; INTRUSION GEOMETRY; MAGMA RESERVOIR; NEUTRAL BUOYANCY; PLANETARY VOLCANISM; SURFACE DISPLACEMENT;

PLANETARY SURFACE ANALYSIS;

FINITE ELEMENT METHOD; HOST ROCK; IGNEOUS INTRUSION; MAGMA CHAMBER; PLANETARY LANDFORM; PRESSURE EFFECT; RUPTURE; TENSILE STRESS; TOPOGRAPHY; VOLCANISM;

EID: 34548818735     PISSN: 03770273     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jvolgeores.2007.06.007     Document Type: Article

References (64)

1. Anderson E.M. Dynamics of the formation of cone-sheets, ring-dykes, and cauldron-subsidences. Proceedings of the Royal Society of Edinburgh 56 (1936) 128-157
2. Anderson E.M. The Dynamics of Faulting and Dyke Formation with Applications to Great Britain (1951), Oliver and Boyd, Edinburgh 206 pp.
3. Berrino G., Corrado G., Luongo G., and Toro B. Ground deformation and gravity changes accompanying the 1982 Pozzuoli Uplift. Bulletin of Volcanology 47 2 (1984) 187-200
4. Bianchi R., et al. Modeling of surface ground deformations in the Phlegraean Fields volcanic area, Italy. Bulletin of Volcanology 47 2 (1984) 321-330
5. Bianchi R., et al. Modeling of surface deformation in volcanic areas; the 1970-1972 and 1982-1984 crises of Campi Flegrei, Italy. Journal of Geophysical Research 92 B13 (1987) 14,139-14,150
6. Blake S. Volcanism and the dynamics of open magma chambers. Nature 289 (1981) 783-785
7. Bonafede M. Axi-symmetric deformation of a thermo-poro-elastic half-space: inflation of a magma chamber. Geophysical Journal International 103 (1990) 289-299
8. Bonafede M., Dragoni M., and Quareni F. Displacement and stress-fields produced by a center of dilation and by a pressure source in a viscoelastic half-space - application to the study of ground deformation and seismic activity at Campi-Flegrei, Italy. Geophysical Journal of the Royal Astronomical Society 87 2 (1986) 455-485
9. Castagnolo D., Gaeta F.S.D.N.G., Peluso F.M.G., Troise C.P.F., and Mita D.G. Campi Flegrei unrest episodes and possible evolution towards critical phenomena. In: De Natale G., Kilburn C., and Chouet B.A. (Eds). 1998 meeting of the European Geophysical Society (2001), Elsevier 13-40
10. Chadwick W.W., and Dieterich J.H. Mechanical modeling of circumferential and radial dike intrusion on Galapagos volcanoes. Journal of Volcanology and Geothermal Research 66 1-4 (1995) 37-52
11. Chevallier L., and Verwoerd W.J. A numerical model for the mechanical behavior of intraplate volcanoes. Journal of Geophysical Research 93 (1988) 4182-4198
12. Chevallier L., and Verwoerd W.J. Influence of temperature on the distribution of stress and displacement in a volcano: a numerical approach. Bulletin of Volcanology 52 (1990) 413-425
13. Dieterich J.H., and Decker R.W. Finite-element modeling of surface deformation associated with volcanism. Journal of Geophysical Research 80 29 (1975) 4094-4102
14. Dragoni M., and Magnanensi C. Displacement and stress produced by a pressurized, spherical magma chamber, surrounded by a viscoelastic shell. Physics of the Earth and Planetary Interiors 56 (1989) 316-328
15. Ernst R.E., and Baragar W.R.A. Evidence from magnetic fabric for the flow pattern of magma in the Mackenzie giant radiating dyke swarm. Nature 356 (1992) 511-513
16. Ernst R.E., Head J.W., Parfitt E., Grosfils E.B., and Wilson L. Giant radiating dyke swarms on Earth and Venus. Earth-Science Reviews 39 (1995) 1-58
17. Ernst R.E., Grosfils E.B., and Mege D. Giant dike swarms: Earth, Venus and Mars. Annual Review of Earth and Planetary Sciences 29 (2001) 489-534
18. Fedotov S.A. Temperatures of entering magma, formation and dimensions of magma chambers or volcanoes. Bulletin of Volcanology 45 (1982) 333-347
19. Fialko Y.A., and Rubin A.M. Thermal and mechanical aspects of magma emplacement in giant dike swarms. Journal of Geophysical Research 104 B10 (1999) 23,033-23,049
20. Gautneb H., Gudmundsson A., and Oskarsson N. Structure, petrochemistry and evolution of a sheet swarm in an Icelandic central volcano. Geological Magazine 126 (1989) 659-673
21. Greenough J.D., and Hodych J.P. Evidence for lateral magma injection in the early Mesozoic dykes of eastern North America. In: Parker A.J., Rickwood P.C., and Tucker D.H. (Eds). Mafic Dykes and Emplacement Mechanisms (1990), A.A. Balkema Publishers, Rotterdam 35-46
22. Grindrod P.M., Nimmo F., Stofan E.R., and Guest J.E. Strain at radially fractured centers on Venus. Journal of Geophysical Research 110 E12 (2005) E12002 10.1029/2005JEE002416
23. Grosfils E.B., and Head J.W. The global distribution of giant radiating dike swarms on Venus: implications for the global stress state. Geophysical Research Letters 21 (1994) 701-704
24. Gudmundsson A. Effect of tensile stress concentration around magma chambers on intrusion and extrusion frequencies. Journal of Volcanology and Geothermal Research 35 (1988) 179-194
25. Gudmundsson A. Formation and development of normal-fault calderas and the initiation of large explosive eruptions. Bulletin of Volcanology 60 3 (1998) 160-170
26. Gudmundsson A. Emplacement and arrest of sheets and dykes in central volcanoes. Journal of Volcanology and Geothermal Research 116 (2002) 279-298
27. Gudmundsson A. How local stresses control magma-chamber ruptures, dyke injections, and eruptions in composite volcanoes. Earth Science Reviews 79 (2006) 1-31
28. Head J.W., and Wilson L. Magma reservoirs and neutral buoyancy zones on Venus: implications for the formation and evolution of volcanic landforms. Journal of Geophysical Research 97 (1992) 3877-3903
29. Jaeger J.C., and Cook N.G.W. Fundamentals of Rock Mechanics (1979), Chapman and Hall, New York 593 pp.
30. Jeffery G.B. Plane stress and plane strain in bipolar co-ordinates. Philosophical Transactions of the Royal Society of London, Series A 221 (1921) 265-293
31. Jellinek A.M., and DePaolo D.J. A model for the origin of large silicic magma chambers; precursors of caldera-forming eruptions. Bulletin of Volcanology 65 5 (2003) 363-381
32. Klein F.W., Koyanagi R.Y., Nakata J.S., and Tanigawa W.R. The seismicity of Kilauea's magma system. U.S. Geological Survey Professional Paper 1350 (1987) 1019-1185
33. Koenig E., and Pollard D.D. Mapping and modeling of radial fracture patterns on Venus. Journal of Geophysical Research 103 (1998) 15183-15202
34. Kühn, D., 2005. Numerical simulation of magma ascent by dykes and crust formation at spreading centres. PhD thesis, University of Hamburg, Germany.
35. Lister J.R., and Kerr R.C. Fluid-mechanical models of crack propagation and their application to magma transport in dykes. Journal of Geophysical Research 96 (1991) 10049-10077
36. Lungarini L., Troise C.M.M., and De Natale G. Finite element modeling of topographic effects on elastic ground deformation at Mt. Etna. Journal of Volcanology and Geothermal Research 144 1-4 (2005) 257-271
37. Maeda I. Nonlinear visco-elastic volcanic model and its application to the recent eruption of Mt. Unzen. Journal of Volcanology and Geothermal Research 95 1-4 (2000) 35-47
38. McGarr A. On the state of lithospheric stress in the absence of applied tectonic forces. Journal of Geophysical Research 93 (1988) 13609-13617
39. McKenzie D., McKenzie J.M., and Saunders R.S. Dyke emplacement on Venus and on Earth. Journal of Geophysical Research 97 (1992) 15977-15990
40. McTigue D.F. Elastic stress and deformation near a finite spherical magma body: resolution of a point source paradox. Journal of Geophysical Research 92 (1987) 12931-12940
41. Mogi K. Relationships between the eruptions of various volcanoes and the deformations of the ground surfaces around them. Bulletin of the Earthquake Research Institute, University of Tokyo 36 (1958) 99-134
42. Muller O.H., and Pollard D.D. The stress state near Spanish Peaks, Colorado, determined from a dike pattern. Pure and Applied Geophysics 115 (1977) 69-86
43. Newman A.V., Dixon T.H., Ofoegbu G.I., and Dixon J.E. Geodetic and seismic constraints on recent activity at Long Valley Caldera, California; evidence for viscoelastic rheology. Journal of Volcanology and Geothermal Research 105 3 (2001) 183-206
44. Parfitt E.A., and Head J.W. Buffered and unbuffered dike emplacement on Earth and Venus: implications for magma reservoir size, depth, and rate of magma replenishment. Earth, Moon, and Planets 61 (1993) 249-281
45. Parfitt E.A., Wilson L., and Head J.W. Basaltic magma reservoirs: Factors controlling their rupture characteristics and evolution. Journal of Volcanology and Geothermal Research 55 (1993) 1-14
46. Pinel V., and Jaupart C. Magma chamber behavior beneath a volcanic edifice. Journal of Geophysical Research 108 B2 (2003)
47. Pinel V., and Jaupart C. Likelihood of basaltic eruptions as a function of volatile content and volcanic edifice size. Conduit processes during explosive basaltic eruptions; an introduction. Journal of Volcanology and Geothermal Research 137 1-3 (2004) 201-217
48. Pinel V., and Jaupart C. Some consequences of volcanic edifice destruction for eruption conditions. Journal of Volcanology and Geothermal Research 145 1-2 (2005) 68-80
49. Quareni F. Finite element deformation of an elastic, non-uniform medium produced by a dilating or pressurized magma chamber. Geophysical Journal International 101 (1990) 243-249
50. Rubin A.M. Getting granite dikes out of the source region. Journal of Geophysical Research 100 (1995) 5911-5929
51. Rubin A.M. Propagation of magma-filled cracks. Annual Review of Earth and Planetary Sciences 23 (1995) 287-336
52. Rubin A.M., and Pollard D.D. Origins of blade-like dikes in volcanic rift zones. U.S. Geological Survey Professional Paper 1350 (1987) 1449-1470
53. Russo G., and Giberti G. Numerical modeling of surface deformations on Mt. Vesuvius Volcano (Italy) in presence of asymmetric elastic heterogeneities. In: Civetta L., Orsi G., and Patella D. (Eds). European Geophysical Society 2001 meeting (2004), Elsevier 41-54
54. Sartoris G., Pozzi J.P., Philippe C., and Le Mouel J.L. Mechanical stability of shallow magma chambers. Journal of Geophysical Research 95 B4 (1990) 5141-5151
55. Saunders S.J. The shallow plumbing system of Rabaul Caldera; a partially intruded ring fault?. Bulletin of Volcanology 63 6 (2001) 406-420
56. Schultz R.A. Limits on strength and deformation properties of jointed basaltic rock masses. Rock Mechanics and Rock Engineering 28 1 (1995) 1-15
57. Tait S., Jaupart C., and Vergniolle S. Pressure, gas content and eruption periodicity of a shallow, crystallizing magma chamber. Earth and Planetary Science Letters 92 (1989) 107-123
58. Takada A. Magma transport and reservoir formation by a system of propagating cracks. Bulletin of Volcanology 52 (1989) 118-126
59. Timoshenko S., and Goodier J.N. Theory of Elasticity. Engineering Societies Monograph (1951), McGraw-Hill Book Company Inc., New York 506 pp.
60. Trasatti E., Giunchi C., and Bonafede M. Effects of topography and rheological layering on ground deformation in volcanic regions. Journal of Volcanology and Geothermal Research 122 1-2 (2003) 89-110
61. Trasatti E., Giunchi C., and Bonafede M. Structural and rheological constraints on source depth and overpressure estimates at the Campi Flegrei caldera, Italy. Journal of Volcanology and Geothermal Research 144 1-4 (2005) 105-118
62. Turner J.S., and Campbell I.H. Convection and mixing in magma chambers. Earth-Science Reviews 23 (1986) 255-352
63. Wilson L., and Head J.W. Mars: review and analysis of volcanic eruption theory and relationships to observed landforms. Reviews of Geophysics 32 (1994) 221-263
64. Yang X.-M., Davis P.M., and Dieterich J.H. Deformation from inflation of a dipping finite prolate spheroid in an elastic half-space as a model for volcanic stressing. Journal of Geophysical Research 93 (1988) 4249-4257