Abstract
High-frequency Love surface waves in a linear medium with Maxwell-Boltzmann-Volterra anelasticity are considered. Arbitrary vertical dependences of the material parameters are allowed. The weak lateral inhomqgeneity and anelasticity of the medium, assumed small in the high-frequency range, are treated as perturbations. The leading term of the ray expansion, which corresponds to the balance of energy along real surface rays, is provided. The additional components, i.e., the Rayleigh-type components of the displacement, described by a higher-order correction, are discussed.
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References
A. V. Aref'ev and A. P. Kiselev, “Viscoelastic Reyleigh waves in a layered structure with slow lateral variations,”Zap. Nauchn. Semin. POMI,230, 7–13 (1995).
V. M. Babic and V. S. Buldyrev,Asymptotic Methods in Problems of Short-Wavelength Diffraction [in Russian], Nauka, Moscow (1972).
A. L. Levshin, T. B. Yanovskaya, et al.,Seismic Surface Waves in a Laterally Inhomogeneous Earth [in Russian], Nauka, Moscow (1986).
Additional information
Translated fromZapiski Nauchnykh Seminarov POMI, Vol. 239, 1997, pp. 7–11.
This work was supported in part by the Russian State Committee for Higher Education under grant 95-0-13.1-66.
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Aref'ev, A.V., Kiselev, A.P. Viscoelastic Love waves in a layered structure with weak lateral inhomogeneity. J Math Sci 96, 3289–3291 (1999). https://doi.org/10.1007/BF02172803
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DOI: https://doi.org/10.1007/BF02172803