Nonlinear Dynamics, Magnitude-Period Formula and New Research on Earthquake

Nonlinear Dynamics, Magnitude-Period Formula and New Research on Earthquake

Loading document ...
Loading page ...


Author(s): Yi-Fang Chang

Download Full PDF Read Complete Article

629 1056 87-95 Volume 1 - Nov 2012


Based on the geodynamics, an earthquake does not take place until the momentum-energy excess a faulting threshold due to the movement of the fluid layer under the rock layer and the transport and accumulation of the momentum. From the nonlinear equations of fluid mechanics, we can derive a simplified nonlinear solution of momentum, which correspond to the accumulation of the energy. Otherwise, a chaos equation could be obtained, in which chaos corresponds to the earthquake, which shows complexity on seismology, and impossibility of exact prediction of earthquakes. But, combining the Carlson-Langer model and the Gutenberg-Richter relation, the magnitude-period formula of the earthquake may be derived approximately, and some results can be calculated quantitatively. For example, we forecast a series of earthquakes, especially in 2019 in California. Combining the Lorenz model, we discuss the earthquake migration to and fro, and apply the qualitative analysis theory. Moreover, many external causes for earthquake are merely the initial conditions of this nonlinear system. Finally, we research some new ways, and propose the topology of earthquake.


geophysics, earthquake, fluid dynamics, prediction, nonlinear system, topology


  1. Y.Y.Kagan, and L.Knopoff, J.Geophys.Res.86,2853(1981)
  2. D.L.Turcotte, Fractals and Chaos in Geology, and Geophysics. Cambridge University Press (1992)
  3. G.A.Papadopoulos, H.G.Skafida, and I.T.Vassiliou, J.Geophys.Res. 98, 17737(1993)
  4. I.A.Beresnev and Kuo-Liang Wen, Bull.Seismol.Soc.Am., 86,1028(1996)
  5. J.M.Carlson, and J.S.Langer, Phys.Rev.Lett.62,2632(1989); Phys.Rev. A40,6470 (1989)
  6. J.M.Carlson, J.S.Langer, B.E.Shaw and C.Tang, Phys.Rev. A44,884(1991)
  7. J.M.Carlson, Phys.Rev. A44,6226(1991)
  8. J.M.Carlson, J.S.Langer and B.E.Shaw, Rev.Mod.Phys.,66,657(1994)
  9. A.S.Kiremidjian and T.Anagnos, Bull.Seismol.Soc.Am., 74,739(1984)
  10. M.Borodich, Geophys.J.Int., 131,171(1997)
  11. R.A.Harris, Bull.Seismol.Soc.Am., 88;898(1998)
  12. W.Marzocchi, L.Sandri and E.Boschi, Bull.Seismol.Soc.Am., 93,1994(2003)
  13. A.Helmstetter, Y.Y.Kagan and D.D.Jackson, Bull.Seismol.Soc.Am., 96,90(2006)
  14. D.L.Turcotte, and G.Schubert, Geodynamics. John Wiley and Sons(1982)
  15. Yi-Fang Chang, Periodicity of Change in Earth-Sun and Research of Period of Earthquake. Yunnan Science Technology Press,Kunming(1989). Phys.Abst. 93,1371, 30443(1990)
  16. Yi-Fang Chang, Research of nonlinear dynamical system on earthquake. Exploration of Nature (China). 16,3,51-55(1997)
  17. R.M.Hamilton, B.E.Smith, F.G.Fischer and P.J.Papanek, Bull.Seismol.Soc.Am., 62,1319(1972)
  18. O.Dahlman, Bull.Seismol.Soc.Am., 64,1275(1974)
  19. T.Lay, D.V.Helmberger and D.G.Harkrider, Bull.Seismol.Soc.Am., 74,843(1984)
  20. G.L.Vasconcelos, Phys.Rev.Lett.76,4865(1996)
  21. D.L.Turcotte, Pure Appl.Geophys. 131,171(1989)
  22. M.Bath, Introduction to Seismology. Birkhauser Verlag(1979)
  23. I.Tsubokawa, J.Geod.Soc.Japan, 15,75(1969); 19,116(1973)
  24. J.H.Whitcomb,J.D.Garmany and D.L.Anderson, Science, 180,632(1973)
  25. C.H.Scholz,L.R.Sykes and Y.P.Aggarwal, Science, 181,803(1973)
  26. Fu-Zhi Bi and You-Shen Yuan, Science in China. B4,429(1987)
  27. Yi-Fang Chang, J.Yunnan University. 12,4,371-375(1990)
  28. Yi-Fang Chang, J.Relig.Psych.Res. 27,126(2004)
  29. Yi-Fang Chang, Matter Regularity. 7,1,6(2007)
  30. B.Saltzman, J.Atmos.Sci., 19,329(1962)
  31. E.N.Lorenz, J.Atmos.Sci., 20,130(1963)
  32. Robinson D P, Henry C, Das S & Woodhouse J H. Simultaneous rupture along two conjugate planes of the Wharton Basin earthquake. Science. 292,1145-1148(2001)
  33. M.C.Gerstenberger, S.Wiemer, L.M.Jones and P.A.Reasenberg, Nature. 435,328-331(2005)
  34. N.H.Packard, J.P.Crutchfield, J.D.Farmer and R.S.Shaw, Phys.Rev. Lett. 45,712(1980)
  35. S.Singh, Bull.Seismol.Soc.Am., 68,1533(1978)
  36. J.B.Macelwane, Bull.Seismol.Soc.Am., 36,1(1946)
  37. J.Derr, Bull.Seismol.Soc.Am., 63,2177(1973)
  38. Yi-Fang Chang, Earthquake forecast and new theoretical research. J.Jishou Univ. 31(2):48(2010)
  39. C.Adams and R.Franzosa, Introduction to Topology: Pure and Applied. Pearson Prentice Hall. (2008)
  40. O.Ramos, E.Altshuler and K.J.Måløy, Phys.Rev.Lett.,96,098501(2006)
  41. J.L.Kirschvink, Bull.Seismol.Soc.Am., 90,312(2000)

Cite this Article:

International Journal of Sciences is Open Access Journal.
This article is licensed under a Creative Commons Attribution 4.0 International (CC BY 4.0) License.
Author(s) retain the copyrights of this article, though, publication rights are with Alkhaer Publications.

Search Articles

Issue June 2023

Volume 12, June 2023

Table of Contents

World-wide Delivery is FREE

Share this Issue with Friends:

Submit your Paper