Effects of volcano loading on dike propagation in an elastic half-space

Journal of Geophysical Research: Solid Earth

Volumn 106, Issue B6, 2001, Pages 11101-11113

  Muller, Jordan R ^a   Ito, Garrett ^b   Martel, Stephen J ^c  

^a STANFORD UNIVERSITY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF HAWAII   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIKE; EMPLACEMENT; LOADING; VOLCANISM;

EID: 0034930038     PISSN: 21699313     EISSN: 21699356     Source Type: Journal    
DOI: 10.1029/2000jb900461     Document Type: Article

References (55)

1. Anderson, E.M., The Dynamics of Faulting, 206 pp., Oliver and Boyd, White Plains, N.Y., 1951.
2. Banks, R.J., R.L. Parker, and S.P. Huestis, Isostatic compensation on a continental scale: local versus regional mechanisms, Geophys. J. R. Astron. Soc., 51, 431-452, 1977.
3. Bechtel, T.D., D.W. Forsyth, V.L. Sharpton, and. R.A.F. Grieve, Variations in effective elastic thickness of the North American lithosphere, Nature, 343, 636-638, 1990.
4. e) of continental lithosphere: What does it really mean?, J. Geophys. Res., 100, 3905-3927, 1995.
5. Burov, E., and M. Diament, Isostacy, equivalent elastic thickness, and inelastic rheology of continents and oceans, Geology, 24, 419-422, 1996.
6. Cotterell, B., and J.R. Rice, Slightly curved or kinked cracks, Int. J. Fract. Mech., 16, 155-169, 1980.
7. Crandell, D.R., C.D. Mitler, A.X. Glicken, R.L. Christiansen, and C.G. Newhall, Catastrophic debris avalanche from ancestral Mount Shasta volcano, California, Geology, 12, 143-146, 1984.
8. Crouch, S.L., and A.M. Starfield, Boundary Element Methods in Solid Mechanics, Allen and Unwin, Concord, Mass., 1983.
9. Davies, J.H., and D.J. Stevenson, Physical model of source region of subduction zone volcanics, J. Geophys. Res., 97, 2037-2070, 1992.
10. de Bremond d'Ars, J., C. Jaupart, and R.S.J. Sparks, Distribution of volcanoes in active margins, J. Geophys. Res., 100, 20,421-20,432, 1995.
11. Decker, R.W., Dynamics of Hawaiian volcanoes: an overview, in Volcanism in Hawaii, edited by R.W. Decker, T.L. Wright, and P.H. Stauffer, U.S. Geol. Surv. Prof. Pap., 1350, 997-1018, 1987.
12. Delaney, P.T., D.D. Pollard, J.I. Ziony, and E.H. McKee, Field relations between dikes and joints; emplacement processes and paleostress analysis, J. Geophys. Res., 91, 4920-4938, 1986.
13. Emerman, S.H., and R. Marrett, Why dikes?, Geology, 18, 231-233, 1990.
14. Fiske, R.S., and E.D. Jackson, Orientation and growth of Hawaiian volcanic rifts: The effect of regional structure and gravitational stress, Proc. R. Soc. London, 329, 299-326, 1972.
15. Guffanti, M., and C.S. Weaver, Distribution of late Cenozoic volcanic vents in the Cascade Range: Volcanic arc segmentation and regional tectonic considerations, J. Geophys. Res., 93, 6513-6529, 1988.
16. Heimpel, M., and P. Olson, Buoyancy-driven fracture and magma transport through the lithosphere: models and experiments, in Magmatic Systems, edited by M.P. Ryan, pp. 223-240, Academic, San Diego, Calif., 1994.
17. Hieronymous, C.F., and D. Bercovici, Discrete alternating hotspot islands formed by interaction of magma transport and lithospheric flexure, Nature, 397, 604-606, 1999.
18. Hughes, J.M., R.E. Stoiber, and M.J. Carr, Segmentation of the Cascade volcanic chain, Geology, 8, 15-17, 1980.
19. Ingraffea, A.R., Theory of crack initiation and propagation in rock, in Fracture Mechanics of Rock, edited by B.K. Atkinson, pp. 71-110, Academic, San Diego, Calif., 1987.
20. Ito, G., S.J. Martel, and D. Bercovici Magma transport in the lithosphere through interacting dikes, Eos, Trans. AGU, 78(46), Fall Meet. Suppl., F694, 1997.
21. Jaeger, J.C., and N.G.W. Cook, Fundamentals of rock mechanics, 593 pp., Chapman and Hall, New York, 1979.
22. Johnson, K.L., Contact Mechanics, 452 pp., Cambridge Univ. Press, New York, 1985.
23. Lawn, B., Fracture of Brittle Solids, 2nd ed., 378 pp., Cambridge Univ. Press, New York, 1993.
24. List of the World Active Volcanoes, in Special Issue of Bulletin of Volcanic Eruptions, edited by Y. Katsui, Volcanol. Soc. of Jpn., Tokyo, 1971.
25. Lister, J.R., Buoyancy-driven fluid fracture: The effects of material toughness and of low viscosity precursors, J. Fluid Mech., 210, 263-280, 1990.
26. Lister, J.R., and R.C. Kerr, Fluid-mechanical models of crack propagation and their application to magma-transport in dykes, J. Geophys. Res., 96, 10,049-10,077, 1991.
27. Lister, J.R., The solidification of buoyancy-driven flow in a flexible-walled channel, part I, Constant volume, J. Fluid Mech., 272, 21-44, 1994.
28. Marsh, B.D., and I.S.E. Charmichael, Benioff zone magmatism, J. Geophys. Res., 79, 1196-1206, 1974.
29. McGarr, A., On the state of lithospheric stress in the absence of applied tectonic forces, J. Geophys. Res., 93, 13,609-13,617, 1988.
30. McGovern, P.J., and S.C. Solomon, State of stress, faulting, and eruption characteristics on large volcanoes on Mars, J. Geophys. Res., 98, 23,553-23,579, 1993.
31. McGovern, P.J., and S.C. Solomon, Growth of large volcanoes on Venus: Mechanical models and implications for structural evolution, J. Geophys. Res., 103, 11,071-11,101, 1998.
32. McKenzie, D., and C. Bowin, The relationship between bathymetry and gravity in the Atlantic Ocean, J. Geophys. Res., 81, 1903-1915, 1976.
33. Olson, J.E., and D.D. Pollard, Inferring paleostresses from natural fracture patterns: A new method, Geology, 17, 345-348, 1989.
34. Olson, J.E., and D.D. Pollard, The initiation and growth of echelon veins, J. Struct. Geol., 13, 595-608, 1991.
35. Pike, R.J., and G.D. Clow, Revised classification of terrestrial volcanoes and catalog of topographic dimensions, with new results on edifice volume, U.S. Geol. Surv. Open File Rep., 1038, 1-40, 1981.
36. Pollard, D.D., and O.H. Muller, The effects of gradients in regional stress and magma pressure on the form of sheet intrusions in cross section, J. Geophys. Res., 81, 975-984, 1976.
37. Pollard, D.D., and P. Segall, Theoretical displacements and stresses near fractures in rock: With applications to faults, joints, veins, dikes, and solution surfaces, in Fracture Mechanics of Rock, edited by B.K. Atkinson, pp. 277-349, Academic, San Diego, Calif., 1987.
38. Rogers, G.C., Variation in Cascade volcanism with margin orientation, Geology, 13, 495-498, 1985.
39. Rubin, A.M., Dikes vs. diapirs in viscoelastic rock, Earth Planet. Sci. Lett., 119, 641-659, 1993.
40. Rubin, A.M., Propagation of magma-filled cracks, Annu. Rev. Earth Planet. Sci., 23, 287-336, 1995.
41. Rubin, A. M., Dike ascent in partially molted rock, J. Geophys. Res., 103, 20,901-20,919, 1998.
42. Savage, W.Z., H.S. Swolfs, and P.S. Powers, Gravitational stresses in long symmetric ridges and valleys, Int. J. Rock Mech., Mineral Sci., Geomech. Abstr., 22, 291-302, 1985.
43. Secor, D.T., and D.D. Pollard, On the stability of open hydraulic fractures in the earth's crust, Geophys. Res. Lett., 2, 510-513, 1975.
44. Spence, D.A., and D.L. Turcotte, Magma-driven propagation of cracks, J. Geophys. Res., 90, 575-580, 1985.
45. Spence, D.A., and D.L. Turcotte, Buoyancy-driven magma fracture: a mechanism for ascent through the lithosphere and the emplacement of diamonds, J. Geophys. Res., 95, 5133-5139, 1990.
46. Swan, A.R.H., and M. Sandilands, Introduction to Geological Data Analysis, 446 pp., Blackwell Sci., Malden, Mass., 1995.
47. Takada, A., Experimental study on propagation of liquid-filled crack in gelatin: Shape and velocity in hydrostatic stress condition, J. Geophys. Res., 95, 8471-8481, 1990.
48. Takada, A., Development of a subvolcanic structure by the interaction of liquid-filled cracks, J. Volcanol. Geotherm. Res., 62, 207-224, 1994.
49. ten Brink, U., Volcano spacing and plate rigidity, Geology, 19, 397-400, 1991.
50. Timoshenko, S.P., and J.N. Goodier, Theory of Elasticity, 567 pp., McGraw-Hill, New York, 1970.
51. Turcotte, D.L., and J. Phipps Morgan, The physics of magma migration and mantle flow beneath a mid-ocean ridge, in Mantle Flow and Melt Generation at Mid-Ocean Ridges, Geophys. Monogr. Ser., vol. 71, edited by J.B. Phipps Morgan, D.K. Blackman, and J.M. Sinton, pp. 155-182, AGU, Washington, D.C., 1992.
52. Turcotte, D.L., and G. Schubert, Geodynamics: Applications of Continuum Physics to Geological Problems, 450 pp., John Wiley, New York, 1982.
53. Vogt, P.R., Volcano spacing, fractures, and thickness of the lithosphere, Earth Planet. Sci. Lett., 21, 235-252, 1974.
54. Weaver, C.S., and C.A. Michaelson, Seismicity and volcanism in the Pacific Northwest: Evidence for the segmentation of the Juan de Fuca plate, Geophys. Res. Lett., 12, 215-218, 1985.
55. Wood, C.A., and J. Kienle, Volcanoes of North America, United States and Canada, 354 pp., Cambridge Univ. Press, New York, 1990.