Seismic Wave Propagation in a Self-Gravitating Anisotropic Earth
The mathematical theory is discussed of the propagation of acceleration waves in a spherical, elastic Earth, which has spherical symmetry and the material of which is transversely isotropic at each point with respect to the radial direction, both as a result of its intrinsic nature and as a result of the effect of self-gravitation. An arbitrary variation of density with radial distance from the Earth’s centre is assumed. The differential equation for the ray path is obtained and solved in the case of an SH-wave. It is seen that the usual Herglotz-Wiechert method for the determination of the dependence of wave speed on radial position breaks down.
KeywordsAnisotropy Propa Librium Suffix
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- Bullen, K. E. 1963 An introduction to the theory of seismology. Cambridge University Press.Google Scholar
- Ericksen, J. L. & Rivlin, R. S. 1954 J. Rat. Mech. Anal. 3, 281.Google Scholar
- Helbig, K. 1966 Bull. Seismological Soc. Am. 56, 527.Google Scholar
- Truesdell, C. & Toupin, R. 1960 The classical field theories. In Encyclopedia of Physics, vol. III/1 (ed. by S. Flügge). Berlin: Springer.Google Scholar
- Varley, E. 1965 J. Rat. Mech. Anal. 20, 309.Google Scholar