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An algorithm for determining fields of summary multiple waves with source and receiver arbitrarily placed in an elastic medium. (English. Russian original) Zbl 0872.73007

J. Math. Sci., New York 83, No. 2, 327-333 (1997); translation from Zap. Nauchn. Semin. POMI 210, 251-261 (1994).
Summary: An algorithm for determining wave fields for arbitrary positions of the source and the receiver in an elastic medium is proposed. This algorithm is based on a description of elementary waves by a code. Some conditions imposed on the reflection and refraction coefficients are checked.

MSC:

74J10 Bulk waves in solid mechanics
74J20 Wave scattering in solid mechanics

References:

[1] G. I. Petrashen and T. I. Vavilova, ”Calculation of the intensities of multiple sum waves in multilayer media for any positions of the source and detector,” in:Problems in the Dynamic Theory of Seismic Wave Propagation,9 (1968), pp. 77–96.
[2] N. S. Smirnova, ”On a fast method for computing the field of waves reflected by a thin elastic layer,”Zap. Nauchn. Semin. LOMI,179, 152–162 (1989). · Zbl 0724.73060
[3] N. S. Smirnova, ”An algorithm for determining wave fields in multilayer elastic media,”Zap. Nauchn. Semin. LOMI,186, 154–171 (1990). · Zbl 0835.73015
[4] N. S. Smirnova, ”Determination of groups of dynamically equivalent waves propagating in layered elastic media,”Zap. Nauchn. Semin. LOMI,195, 154–160 (1991).
[5] N. S. Smirnova, ”On the calculation of wave fields propagating in multilayer media,”Zap. Nauchn. Semin. LOMI,203, 156–165 (1992). · Zbl 0850.73058
[6] D. F. Knuth,The Art of Computer Programming. Fundamental Algorithms, Addison-Wesley, Reading, Massachusetts (1974). · Zbl 0302.68010
[7] Quantitative Studies of the Dynamics of Seismic Waves [in Russian], Vol. 2, Leningrad (1957).
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