Abstract
The Earth is a complicated inhomogeneous, anelastic and anisotropic medium. Even though the fundamental equations of elasticity are well known and understood, modelling the propagation of seismic waves is non-trivial, and the interpretation or inverse problem is difficult. Many aspects of seismic wave propagation have their counterparts in other fields, and similar techniques can be used to model the propagation. Nevertheless, for realistic Earth structures, certain problems unique to seismology arise.
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References
Cerveny, V., 1972, Seismic rays and ray intensities in inhomogeneous anisotropic media, Geophys. J. R. astr. Soc., 29, 1–13.
Chapman, C.H., 1985, Ray theory and its extensions: WKBJ and Maslov seismograms, J. Geophys., 58, 27–43.
Chapman, C.H. and Drummond, R., 1982, Body-wave seismograms in inhomogeneous media using Maslov asymptotic theory, Bull. seism. Soc. Am., 72, S277-S317.
Coates, R.T. and Chapman, C.H., 1990, Quasi-shear wave coupling in weakly anisotropic 3-D media, Geophys. J. Int., 103, 301–320.
Coates, R.T. and Chapman, C.H., 1991, Generalized Born scattering of seismic waves in 3-D media, Geophys. J. Int., (submitted).
Kendall, J-M. and Thomson, C.J., 1989, A comment on the form of the geometrical spreading equations, with some examples of seismic ray tracing in inhomogeneous, anisotropic media, Geophys. J. Int., 99, 401–413.
Kendall, J-M., Guest, W.S. and Thomson, C.J., 1991, Ray theory Green’s function reciprocity and ray-centered coordinates in anisotropic media, preprint.
Maslov, V.R. 1965, “Theory of Perturbations and Asymptotic Methods”, (in Russian), Izd. MGU, Moscow.
Smirnov, V.I., 1964, “A Course in Higher Mathematics”, Vol. 4, Trans. Brown, D.E. and Sneddon, I.N., Pergamon Press, Oxford.
Thomson, C.J. and Chapman, C.H., 1985, An introduction to Maslov’s asymptotic method, Geophys. J. R. astr. Soc, 83, 143–168.
Woodhouse, J.H., 1974, Surface waves in a laterally varying layered structure, Geophys. J. R. astr. Soc, 37, 461–490.
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© 1991 Springer Science+Business Media New York
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Chapman, C.H., Coates, R.T. (1991). Seismic Waveform Modelling of High-Frequency Body Waves. In: Bertoni, H.L., Felsen, L.B. (eds) Directions in Electromagnetic Wave Modeling. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-3677-6_12
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DOI: https://doi.org/10.1007/978-1-4899-3677-6_12
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