Abstract
In the present paper we obtain computational formulas for the principal parts of displacement fields of multiple reflected and head waves propagating in elastic media near the point of origin of the head wave. Similar formulas for simpler cases have been considered in [1, 2].
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Literature Cited
Petrashen’, G. I., The general quantitative theory of reflected and head waves in layered media with plane-parallel separating boundaries, in: Problems in the Dynamical Theory of Propagation of Seismic Waves [in Russian], No. 1, Gostoptekhizdat (1957).
Smirnova, N. S., Calculation of the wave fields in a neighborhood of singular points, in: Problems in the Dynamical Theory of Propagation of Seismic Waves [inRussian], No. 6, Gostoptekhizdat (1962).
Petrashen’, G. I., Propagation of elastic waves in isotropic layered media, Uch. Zap. Len. Gos. Univ., No. 162 (1952).
Smirnov, V. I., A Course in Higher Mathematics [in Russian], Vol. 3, Ch., 2, Leningrad (1949).
Smirnova, N. S., Abstract of Candidates Dissertion [in Russian], Izd. Len. Gos. Univ. (1963).
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Smirnova, N.S. (1970). Calculation of the Wave Fields for Multiple Waves near the Points of Origin. In: Babich, V.M. (eds) Mathematical Problems in Wave Propagation Theory. Seminars in Mathematics, vol 9. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-0334-4_10
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DOI: https://doi.org/10.1007/978-1-4757-0334-4_10
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4757-0336-8
Online ISBN: 978-1-4757-0334-4
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