Table of Contents
Journal of Earthquakes
Volume 2015 (2015), Article ID 434156, 9 pages
http://dx.doi.org/10.1155/2015/434156
Research Article

Dynamics of an Earthquake under Magma Thrust Strength

Laboratoire de Mécanique et de Modélisation des Systèmes Physiques (L2MSP), Faculté des Sciences, Université de Dschang, BP 69, Dschang, Cameroon

Received 22 November 2014; Accepted 9 February 2015

Academic Editor: Alejandro Ramírez-Rojas

Copyright © 2015 L. Y. Kagho et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. G. L. Vasconcelos, “First-order phase transition in a model for earthquakes,” Physical Review Letters, vol. 76, no. 25, pp. 4865–4868, 1996. View at Publisher · View at Google Scholar · View at Scopus
  2. R. Montagne and G. L. Vasconcelos, “Complex dynamics in a one-block model for earthquakes,” Physica A: Statistical Mechanics and its Applications, vol. 342, no. 1-2, pp. 178–185, 2004. View at Publisher · View at Google Scholar · View at Scopus
  3. B. Erickson, B. Birnir, and D. Lavallée, “A model for aperiodicity in earthquakes,” Nonlinear Processes in Geophysics, vol. 15, no. 1, pp. 1–12, 2008. View at Publisher · View at Google Scholar · View at Scopus
  4. R. Burridge and L. Knopoff, “Model and theoretical seismity,” Bulletin of the Seismological Society of America, vol. 57, pp. 341–371, 1967. View at Google Scholar
  5. G. L. Vasconcelos, M. de Sousa Vieira, and S. R. Nagel, “Phase transitions in a spring-block model of earthquakes,” Physica A: Statistical Mechanics and Its Applications, vol. 191, no. 1–4, pp. 69–74, 1992. View at Publisher · View at Google Scholar · View at Scopus
  6. M. De Sousa Vieira, G. L. Vasconcelos, and S. R. Nagel, “Dynamics of spring-block models: tuning to criticality,” Physical Review E, vol. 47, no. 4, pp. R2221–R2224, 1993. View at Publisher · View at Google Scholar · View at Scopus
  7. P. G. Akishin, M. V. Altaisky, I. Antoniou, A. D. Budnik, and V. V. Ivanov, “Burridge-Knopoff model and self-similarity,” Chaos, Solitons & Fractals, vol. 11, no. 1–3, pp. 207–222, 2000. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. E. Brittany, Bjorn, and D. Lavallée, Periodicity, Chaos and Localisation in Burridge-Knopoff Model of an Earthquake with Dieterich-Ruina Friction, Center for Complex and Nonlinear Science, Santa Barbara, Calif, USA, 2010.
  9. S. A. Fedotov, “Magma rates in feeding conduits of different volcanic centres,” Journal of Volcanology and Geothermal Research, vol. 9, no. 4, pp. 379–394, 1981. View at Publisher · View at Google Scholar · View at Scopus
  10. B. A. Chouet, “Excitation of a buried magmatic pipe: a seismic source model for volcanic tremor,” Journal of Geophysical Research, vol. 90, no. 2, pp. 1881–1893, 1985. View at Publisher · View at Google Scholar · View at Scopus
  11. Y. Ida and M. Kumazawa, “Ascent of magma in a deformable vent,” Journal of Geophysical Research, vol. 91, no. B9, pp. 9297–9301, 1986. View at Publisher · View at Google Scholar
  12. B. A. Chouet, “A seismic model for the source of long period events and harmonic tremor,” in Volcanic Seismology, P. Gasparini, R. Scarpa, and K. Aki, Eds., vol. 3 of IAVCEI Proceedings in Volcanology, pp. 133–156, Springer, 1992. View at Google Scholar
  13. Y. Ida, “Cyclic fluid effusion accompanied by pressure change: implication for volcanic eruptions and tremor,” Geophysical Research Letters, vol. 23, no. 12, pp. 1457–1460, 1996. View at Publisher · View at Google Scholar · View at Scopus
  14. M. Kwékam, J.-P. Liégeois, E. Njonfang, P. Affaton, G. Hartmann, and F. Tchoua, “Nature, origin and significance of the Fomopéa Pan-African high-K calc-alkaline plutonic complex in the Central African fold belt (Cameroon),” Journal of African Earth Sciences, vol. 57, no. 1-2, pp. 79–95, 2010. View at Publisher · View at Google Scholar · View at Scopus
  15. C. H. Scholz, The Mechanics of Earthquakes and Faulting, Cambridge University Press, New York, NY, USA, 1990.
  16. P. Hähner and Y. Drossinos, “Nonlinear dynamics of a continuous spring-block model of earthquake faults,” Journal of Physics A: Mathematical and General, vol. 31, no. 10, pp. L185–L191, 1998. View at Publisher · View at Google Scholar · View at Scopus
  17. J. S. Langer and C. Tang, “Rupture propagation in a model of an earthquake fault,” Physical Review Letters, vol. 67, no. 8, pp. 1043–1046, 1991. View at Publisher · View at Google Scholar · View at Scopus
  18. H. Kanamori and D. L. Anderson, “Theoretical basis of some empirical relations in seismology,” Bulletin of the Seismological Society of America, vol. 65, pp. 1073–1095, 1975. View at Google Scholar
  19. T. C. Hanks and H. Kanamori, “A moment magnitude scale,” Journal of Geophysical Research B: Solid Earth, vol. 84, no. 5, pp. 2348–2350, 1979. View at Publisher · View at Google Scholar · View at Scopus
  20. H. Kanamori, H.-K. Thio, D. Dreger, E. Hauksson, and T. Heaton, “Initial investigation of the Landers, California, earthquake of 28 June 1992 using TERRAscope,” Geophysical Research Letters, vol. 19, no. 22, pp. 2267–2270, 1992. View at Publisher · View at Google Scholar · View at Scopus
  21. T. Utsu, “Relationships between magnitude scales,” in International Handbook of Earthquake, Engineering Seismology, W. H. K. Lee, H. Kanamori, P. C. Jennings, and C. Kisslinger, Eds., vol. 81-A of International Geophysics, pp. 733–746, Academic Press, Division of Elsevier, 2002. View at Google Scholar
  22. C. F. Richter, “An instrumental earthquake magnitude scale,” Bulletin of the Seismological Society of America, vol. 25, pp. 1–32, 1935. View at Google Scholar
  23. B. Gutenberg, “Amplitudes of surface waves and magnitude of shallow earthquakes,” Bulletin of the Seismological Society of America, vol. 35, pp. 3–12, 1945. View at Google Scholar
  24. B. Gutenberg and C. F. Richter, “Earthquake magnitude, intensity, energy, and acceleration,” Bulletin of the Seismological Society of America, vol. 46, pp. 105–146, 1956. View at Google Scholar
  25. A. V. Vvendenskaya, “The determination of displacement fields by means of dislocation theory,” Izvestiya Akademii Nauk SSSR, Seriya Geograficheskaya, pp. 227–284, 1956. View at Google Scholar
  26. A. Keiti, “Estimation of earthquakes moment, released energy and stress-strain drop from wave spectrum,” Bulletin of the Earthquake Research Institute, vol. 44, pp. 23–88, 1966. View at Google Scholar
  27. M. W. Dongmo, L. Y. Kagho, F. B. Pelap, G. B. Tanekou, Y. L. Makenne, and A. Fomethe, “Water effects on the first-order transition in a model of earthquakes,” ISRN Geophysics, vol. 2014, Article ID 160378, 7 pages, 2014. View at Publisher · View at Google Scholar
  28. P. Pascal, Qu'est-ce qui fait trembler la terre ?EDP Science, 2003.