Abstract
We consider the problem of summation of elastic waves propagating in layered media with plane-parallel interfaces. We suggest an algorithm leading to determination of groups of dynamically equivalent waves within a group of kinematic analogs. We show that the time required to do the wave calculation in the indicated media can be significantly shortened.
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Literature cited
N. S. Smirnova, “An algorithm for determining wave fields in multilayer elastic media,” in: Mathematical Problems in the Theory of Wave Propagation [in Russian], 20 Vol. 186, Zap. Nauchn. Semin. LOMI, Leningrad (1990), pp. 154–171.
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G. I. Petrashen' and T. I. Vavilova, “Calculation of the intensities of multiple sum waves in multilayer media for any arrangement of source and detector,” in: Problems in the Dynamic Theory of Seismic Wave Propagation [in Russian], Vol. IX, Leningrad (1968), 77–96.
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Institute im. V. A. Steklova AN SSSR, Vol. 195, pp. 154–160, 1991.
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Smirnova, N.S. Determination of groups of dynamically equivalent waves propagating in layered elastic media. J Math Sci 62, 3149–3153 (1992). https://doi.org/10.1007/BF01095688
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DOI: https://doi.org/10.1007/BF01095688