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Caldera geometry determined by the depth of the magma chamber


The depth of the magma chamber is shown to be an important factor governing the initial type, scale, and collapse of a caldera. The collapse of the magma chamber is approximated by the contraction of a sphere in an elastic medium, and the distribution of plastic and/or rupturing area on the surface is calculated using the Coulomb failure criterion under the assumption of an elastic-perfectly plastic material. It is found that the necessary contraction for the formation of a caldera is described by fifth-power polynomial expression of the depth of the magma chamber, and that the radius and geometry of the caldera are dependent on the depth of the magma chamber.


  • Acocella, V., F. Cifelli and R. Funiciello, Analogue models of collapse calderas and resurgent domes, J. Volcanol. Geotherm. Res., 104, 81–96, 2000.

    Article  Google Scholar 

  • Gudmundsson, A., Effect of tensile stress concentration around magma chambers on intrusion and extrusion frequencies, J. Volcanol. Geotherm. Res., 35, 179–194, 1988.

    Article  Google Scholar 

  • Gudmundsson, A., Formation and development of normal-fault calderas and the initiation of large explosive eruptions, Bull. Volcanol., 60, 160–170, 1998.

    Article  Google Scholar 

  • Gudmundsson, A., Emplacement and arrest of sheets and dykes in central volcanoes, J. Volcanol. Geotherm. Res., 116, 279–298, 2002.

    Article  Google Scholar 

  • Gudmundsson, A., Surface stresses associated with arrested dykes in rift zones, Bull. Volcanol., 65, 606–619, 2003.

    Article  Google Scholar 

  • Gudmundsson, A., J. Marti, and E. Turon, Stress fields generating ring faults in volcanoes, Geophys. Res. Lett., 24, 1559–1562, 1997.

    Article  Google Scholar 

  • Hagiwara, Y., Theory of Geogravity, Kyoritsu-zensyo, Tokyo, 242 pp., 1978 (in Japanese).

    Google Scholar 

  • Jaeger, J. C. and N. G. Cook, Fundamentals of Rock Mechanics, Methuen, London, 513 pp., 1969.

    Google Scholar 

  • Komuro, H., Experiments on cauldron formation: a polygonal cauldron and ring fractures, J. Volcanol. Geotherm. Res., 31, 139–149, 1987.

    Article  Google Scholar 

  • Kusumoto, S. and K. Takemura, Numerical simulation of caldera formation due to collapse of a magma chamber, Geophys. Res. Lett., 30(24), 2278, doi10.1029/2003GL018380, 2003.

    Article  Google Scholar 

  • Lipman, P. W., Subsidence of ash-flow calderas: relation to caldera size and magma-chamber geometry, Bull. Volcanol., 59, 198–218, 1997.

    Article  Google Scholar 

  • Marti, J., G. J. Ablay, L. T. Redshaw, and R. S. J. Sparks, Experimental studies of collapse calderas, J. Geol. Soc. London, 151, 919–929, 1994.

    Article  Google Scholar 

  • McTigue, D. F., Elastic stress and deformation near a finite spherical magma body: resolution of the point source paradox, J. Geophys. Res., 92, 12931–12940, 1987.

    Article  Google Scholar 

  • Mogi, K., Relations between eruptions of various volcanoes and the deformation of the ground surface around them, Bull. Earthquake Res. Inst., 36, 99–134, 1958.

    Google Scholar 

  • Nakamura, K., Volcanoes as possible indicators of tectonic stress orientation—principle and proposal, J. Volocanol. Geotherm. Res., 2, 1–16, 1977.

    Article  Google Scholar 

  • Roche, O., T. H. Druitt, and O. Merle, Experimental study of caldera formation, J. Geophys. Res., 105, 395–416, 2000.

    Article  Google Scholar 

  • Rymer, H., B. van Vries, J. Stix, and G. Williams-Jones, Pit crater structure and processes governing persistent activity at Masaya volcano, Nicaragua, Bull. Volcanol., 59, 345–355, 1998.

    Article  Google Scholar 

  • Segall. P. and D. D. Pollard, Mechanics of Discontinuous Faults, J. Geophys. Res., 85, 4337–4350, 1980.

    Article  Google Scholar 

  • Tsuchida, E. and I. Nakahara, Stresses in a semi-infinite body subjected to uniform pressure on the surface of a cavity and the plane boundary, Bull. JSME, 15, 1–12, 1972.

    Article  Google Scholar 

  • Yamaji, A., Introduction to Theoretical Tectonics, Asakura Syoten, Tokyo, 287 pp., 2000 (in Japanese).

    Google Scholar 

  • Yoshida, T., Tertiary Ishizuki cauldron, southwestern Japan arc formation by ring fracture subsidence, J. Geophys. Res., 89, 8502–8510, 1984.

    Article  Google Scholar 

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Correspondence to Shigekazu Kusumoto.

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Kusumoto, S., Takemura, K. Caldera geometry determined by the depth of the magma chamber. Earth Planet Sp 57, e17–e20 (2005).

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Key words

  • Caldera
  • magma chamber
  • caldera geometry
  • depth of magma chamber
  • numerical simulation