Abstract
The theory of the propagations of surface waves in the media with weak lateral heterogeneities is reviewed. In such media we can represent wavefields as the conventional normal modes in the vertical profiles while the horizontal propagations can be treated as rays spreading on the surface with the phase velocity distributions. The formulations of surface waves share many common features with acoustic or elastic body waves in two-dimensional media. Therefore, the direct applications of the recently developed theories for acoustic or elastic body waves such as the Gaussian beam method and the Maslov method are applicable to the surface wave problems. Because of the simplicity and the capability of the rapid calculations, the present approach can be applied to the inverse problems with the use of Bom approximations. We are now in the stage to invert both the amplitude and the phase anomalies for the lateral heterogeneities of the earth.
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© 1988 D. Reidel Publishing Company
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Yomogida, K. (1988). Surface waves in weakly heterogeneous media. In: Vlaar, N.J., Nolet, G., Wortel, M.J.R., Cloetingh, S.A.P.L. (eds) Mathematical Geophysics. Modern Approaches in Geophysics, vol 3. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2857-2_3
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DOI: https://doi.org/10.1007/978-94-009-2857-2_3
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